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A-Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional.finrank_add_inf_finrank_orthogonal'
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean", "module": "Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional", "declaration": "Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional.finrank_add...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 232, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 647, "lean_code_chars": 208, "natural_language_chars": 439, "lean_code_ratio": 0.3215, "line_count": 9, "imports_count": 0, "declarations_count": 70, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Group.Submonoid.Saturation.saturation_sSup
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Group.Submonoid.Saturation)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem saturation_s...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Group.Submonoid.Saturation).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem satur...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Group/Submonoid/Saturation.lean", "module": "Mathlib.Algebra.Group.Submonoid.Saturation", "declaration": "Mathlib.Algebra.Group.Submonoid.Saturation.saturation_sSup", "span": "L335-L337", "source_url": "https://github.c...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 148, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 516, "lean_code_chars": 98, "natural_language_chars": 418, "lean_code_ratio": 0.1899, "line_count": 8, "imports_count": 0, "declarations_count": 58, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Analysis.Normed.Group.Basic.mem_sphere_one_iff_norm
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Normed.Group.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem mem_sphere_one_iff_...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Normed.Group.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem mem_sphere_o...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Analysis/Normed/Group/Basic.lean", "module": "Mathlib.Analysis.Normed.Group.Basic", "declaration": "Mathlib.Analysis.Normed.Group.Basic.mem_sphere_one_iff_norm", "span": "L303-L304", "source_url": "https://github.com/leanprover...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 141, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 476, "lean_code_chars": 65, "natural_language_chars": 411, "lean_code_ratio": 0.1366, "line_count": 7, "imports_count": 0, "declarations_count": 54, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Data.Stream.Init.drop_map
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Stream.Init)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem drop_map (n : ℕ) (s : Stream' ...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Stream.Init).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem drop_map (n : ℕ) (s : S...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Data/Stream/Init.lean", "module": "Mathlib.Data.Stream.Init", "declaration": "Mathlib.Data.Stream.Init.drop_map", "span": "L135-L137", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 140, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 479, "lean_code_chars": 79, "natural_language_chars": 400, "lean_code_ratio": 0.1649, "line_count": 7, "imports_count": 0, "declarations_count": 61, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.GroupWithZero.Units.Basic.mul_div_mul_right
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.GroupWithZero.Units.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma mul_div_mul_rig...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.GroupWithZero.Units.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma mul_div_...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/GroupWithZero/Units/Basic.lean", "module": "Mathlib.Algebra.GroupWithZero.Units.Basic", "declaration": "Mathlib.Algebra.GroupWithZero.Units.Basic.mul_div_mul_right", "span": "L353-L356", "source_url": "https://github.co...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 152, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 491, "lean_code_chars": 74, "natural_language_chars": 417, "lean_code_ratio": 0.1507, "line_count": 7, "imports_count": 0, "declarations_count": 59, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Combinatorics.SimpleGraph.AdjMatrix.adjMatrix_apply
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.AdjMatrix)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem adjMatrix_a...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.AdjMatrix).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem adjM...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean", "module": "Mathlib.Combinatorics.SimpleGraph.AdjMatrix", "declaration": "Mathlib.Combinatorics.SimpleGraph.AdjMatrix.adjMatrix_apply", "span": "L169-L172", "source_url": "https://githu...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 156, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 523, "lean_code_chars": 104, "natural_language_chars": 419, "lean_code_ratio": 0.1989, "line_count": 8, "imports_count": 0, "declarations_count": 62, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Order.PFilter.sInf_gc
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.PFilter)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem sInf_gc :\n GaloisConnection (...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.PFilter).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem sInf_gc : GaloisConnec...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Order/PFilter.lean", "module": "Mathlib.Order.PFilter", "declaration": "Mathlib.Order.PFilter.sInf_gc", "span": "L154-L158", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9dd8da3aab8...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 144, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 505, "lean_code_chars": 108, "natural_language_chars": 397, "lean_code_ratio": 0.2139, "line_count": 8, "imports_count": 0, "declarations_count": 61, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence.homologyFunctor_shiftMap
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma h...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Homology/HomotopyCategory/ShiftSequence.lean", "module": "Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence", "declaration": "Mathlib.Algebra.Homology.HomotopyCategory.ShiftSequence.homologyFunctor_shiftMap", "span"...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 277, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 846, "lean_code_chars": 415, "natural_language_chars": 431, "lean_code_ratio": 0.4905, "line_count": 13, "imports_count": 0, "declarations_count": 95, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Data.Set.Subset.image_val_union
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Subset)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma image_val_union : (↑(D ∪ E) : Set...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Subset).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma image_val_union : (↑(D ∪ E...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Data/Set/Subset.lean", "module": "Mathlib.Data.Set.Subset", "declaration": "Mathlib.Data.Set.Subset.image_val_union", "span": "L82-L83", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 136, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 452, "lean_code_chars": 53, "natural_language_chars": 399, "lean_code_ratio": 0.1173, "line_count": 7, "imports_count": 0, "declarations_count": 53, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Order.Group.Unbundled.Basic.div_lt_div_iff'
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Group.Unbundled.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem div_lt_div_...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Group.Unbundled.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem div_...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Order/Group/Unbundled/Basic.lean", "module": "Mathlib.Algebra.Order.Group.Unbundled.Basic", "declaration": "Mathlib.Algebra.Order.Group.Unbundled.Basic.div_lt_div_iff'", "span": "L662-L664", "source_url": "https://githu...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 139, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 475, "lean_code_chars": 56, "natural_language_chars": 419, "lean_code_ratio": 0.1179, "line_count": 7, "imports_count": 0, "declarations_count": 56, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.LinearAlgebra.AffineSpace.Matrix.isUnit_toMatrix
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Matrix)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem isUnit_toMatri...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Matrix).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem isUnit_...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/LinearAlgebra/AffineSpace/Matrix.lean", "module": "Mathlib.LinearAlgebra.AffineSpace.Matrix", "declaration": "Mathlib.LinearAlgebra.AffineSpace.Matrix.isUnit_toMatrix", "span": "L122-L127", "source_url": "https://github.com/lea...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 129, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 465, "lean_code_chars": 49, "natural_language_chars": 416, "lean_code_ratio": 0.1054, "line_count": 7, "imports_count": 0, "declarations_count": 51, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Order.UpperLower.Principal.map_Ioi
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Principal)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem map_Ioi (f : α ≃o β)...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Principal).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem map_Ioi (f : ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Order/UpperLower/Principal.lean", "module": "Mathlib.Order.UpperLower.Principal", "declaration": "Mathlib.Order.UpperLower.Principal.map_Ioi", "span": "L72-L75", "source_url": "https://github.com/leanprover-community/mathlib4/b...
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A-Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs.coe_GLPos_neg
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem co...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean the...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean", "module": "Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs", "declaration": "Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs.coe_GLPos_neg", "span": "L391-L396", "so...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 149, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 507, "lean_code_chars": 79, "natural_language_chars": 428, "lean_code_ratio": 0.1558, "line_count": 7, "imports_count": 0, "declarations_count": 57, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.LinearAlgebra.AffineSpace.Combination.weightedVSubOfPoint_erase
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Combination)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem weightedV...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Combination).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem we...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/LinearAlgebra/AffineSpace/Combination.lean", "module": "Mathlib.LinearAlgebra.AffineSpace.Combination", "declaration": "Mathlib.LinearAlgebra.AffineSpace.Combination.weightedVSubOfPoint_erase", "span": "L138-L145", "source_url"...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 182, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 585, "lean_code_chars": 164, "natural_language_chars": 421, "lean_code_ratio": 0.2803, "line_count": 8, "imports_count": 0, "declarations_count": 66, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.RingTheory.AdicCompletion.LocalRing.isLocalRing_of_isAdicComplete_maximal
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.AdicCompletion.LocalRing)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem isLocalRing...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.AdicCompletion.LocalRing).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem isLo...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/RingTheory/AdicCompletion/LocalRing.lean", "module": "Mathlib.RingTheory.AdicCompletion.LocalRing", "declaration": "Mathlib.RingTheory.AdicCompletion.LocalRing.isLocalRing_of_isAdicComplete_maximal", "span": "L77-L84", "source_...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 146, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 525, "lean_code_chars": 106, "natural_language_chars": 419, "lean_code_ratio": 0.2019, "line_count": 8, "imports_count": 0, "declarations_count": 55, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Regular.Basic.IsLeftRegular
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Regular.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma IsLeftRegular.pow (n : ℕ) (...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Regular.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma IsLeftRegular.pow (n...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Regular/Basic.lean", "module": "Mathlib.Algebra.Regular.Basic", "declaration": "Mathlib.Algebra.Regular.Basic.IsLeftRegular", "span": "L187-L190", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e9...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 138, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 485, "lean_code_chars": 80, "natural_language_chars": 405, "lean_code_ratio": 0.1649, "line_count": 7, "imports_count": 0, "declarations_count": 55, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Order.Ring.Unbundled.Basic.mul_nonneg_iff_left_nonneg_of_pos
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Ring.Unbundled.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem mul_nonneg_i...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Ring.Unbundled.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem mul_n...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Order/Ring/Unbundled/Basic.lean", "module": "Mathlib.Algebra.Order.Ring.Unbundled.Basic", "declaration": "Mathlib.Algebra.Order.Ring.Unbundled.Basic.mul_nonneg_iff_left_nonneg_of_pos", "span": "L493-L496", "source_url":...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 169, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 539, "lean_code_chars": 121, "natural_language_chars": 418, "lean_code_ratio": 0.2245, "line_count": 8, "imports_count": 0, "declarations_count": 57, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Topology.Algebra.Module.FiniteDimension.constrL_basis
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Module.FiniteDimension)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem constrL...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Module.FiniteDimension).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Topology/Algebra/Module/FiniteDimension.lean", "module": "Mathlib.Topology.Algebra.Module.FiniteDimension", "declaration": "Mathlib.Topology.Algebra.Module.FiniteDimension.constrL_basis", "span": "L467-L477", "source_url": "htt...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 156, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 509, "lean_code_chars": 86, "natural_language_chars": 423, "lean_code_ratio": 0.169, "line_count": 7, "imports_count": 0, "declarations_count": 60, "diagnostics_count": 0, "r...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Topology.Algebra.NonUnitalAlgebra.le_of_mem
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.NonUnitalAlgebra)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem le_of_mem {x ...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.NonUnitalAlgebra).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem le_of_...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Topology/Algebra/NonUnitalAlgebra.lean", "module": "Mathlib.Topology.Algebra.NonUnitalAlgebra", "declaration": "Mathlib.Topology.Algebra.NonUnitalAlgebra.le_of_mem", "span": "L145-L149", "source_url": "https://github.com/leanpr...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 162, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 538, "lean_code_chars": 121, "natural_language_chars": 417, "lean_code_ratio": 0.2249, "line_count": 8, "imports_count": 0, "declarations_count": 66, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Order.CompleteLattice.Basic.fst_iSup
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.CompleteLattice.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem fst_iSup [SupSet α]...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.CompleteLattice.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem fst_iSup [Su...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Order/CompleteLattice/Basic.lean", "module": "Mathlib.Order.CompleteLattice.Basic", "declaration": "Mathlib.Order.CompleteLattice.Basic.fst_iSup", "span": "L952-L954", "source_url": "https://github.com/leanprover-community/math...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 157, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 498, "lean_code_chars": 87, "natural_language_chars": 411, "lean_code_ratio": 0.1747, "line_count": 7, "imports_count": 0, "declarations_count": 58, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Ring.Divisibility.Lemmas.associated_abs_left_iff
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Ring.Divisibility.Lemmas)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem associated_abs...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Ring.Divisibility.Lemmas).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem associa...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Ring/Divisibility/Lemmas.lean", "module": "Mathlib.Algebra.Ring.Divisibility.Lemmas", "declaration": "Mathlib.Algebra.Ring.Divisibility.Lemmas.associated_abs_left_iff", "span": "L128-L132", "source_url": "https://github...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 135, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 488, "lean_code_chars": 72, "natural_language_chars": 416, "lean_code_ratio": 0.1475, "line_count": 8, "imports_count": 0, "declarations_count": 54, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.RingTheory.HahnSeries.HEval.powerSeriesFamily_of_orderTop_pos
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.HahnSeries.HEval)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem powerSeriesFamily_o...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.HahnSeries.HEval).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem powerSeriesF...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/RingTheory/HahnSeries/HEval.lean", "module": "Mathlib.RingTheory.HahnSeries.HEval", "declaration": "Mathlib.RingTheory.HahnSeries.HEval.powerSeriesFamily_of_orderTop_pos", "span": "L60-L64", "source_url": "https://github.com/le...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 178, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 568, "lean_code_chars": 157, "natural_language_chars": 411, "lean_code_ratio": 0.2764, "line_count": 9, "imports_count": 0, "declarations_count": 64, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Topology.Algebra.GroupWithZero.Filter
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.GroupWithZero)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem Filter.Tendsto.z...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.GroupWithZero).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem Filter.Te...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Topology/Algebra/GroupWithZero.lean", "module": "Mathlib.Topology.Algebra.GroupWithZero", "declaration": "Mathlib.Topology.Algebra.GroupWithZero.Filter", "span": "L351-L356", "source_url": "https://github.com/leanprover-communi...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 203, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 580, "lean_code_chars": 166, "natural_language_chars": 414, "lean_code_ratio": 0.2862, "line_count": 8, "imports_count": 0, "declarations_count": 72, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex.homologyMap_neg
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma ...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean", "module": "Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex", "declaration": "Mathlib.Algebra.Homology.ShortComplex.HomologicalComplex.homologyMap_neg", "span": "L74...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 136, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 494, "lean_code_chars": 62, "natural_language_chars": 432, "lean_code_ratio": 0.1255, "line_count": 7, "imports_count": 0, "declarations_count": 52, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Topology.Algebra.Ring.Compact.IsDedekindDomain
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Ring.Compact)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma IsDedekindDomain.is...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Algebra.Ring.Compact).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma IsDedekindDo...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Topology/Algebra/Ring/Compact.lean", "module": "Mathlib.Topology.Algebra.Ring.Compact", "declaration": "Mathlib.Topology.Algebra.Ring.Compact.IsDedekindDomain", "span": "L119-L130", "source_url": "https://github.com/leanprover-...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 160, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 521, "lean_code_chars": 108, "natural_language_chars": 413, "lean_code_ratio": 0.2073, "line_count": 9, "imports_count": 0, "declarations_count": 57, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Lie.Semisimple.Basic.subsingleton_of_hasTrivialRadical_lie_abelian
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Lie.Semisimple.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem subsingleton_of_ha...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Lie.Semisimple.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem subsingleto...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Lie/Semisimple/Basic.lean", "module": "Mathlib.Algebra.Lie.Semisimple.Basic", "declaration": "Mathlib.Algebra.Lie.Semisimple.Basic.subsingleton_of_hasTrivialRadical_lie_abelian", "span": "L313-L317", "source_url": "http...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 153, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 532, "lean_code_chars": 120, "natural_language_chars": 412, "lean_code_ratio": 0.2256, "line_count": 8, "imports_count": 0, "declarations_count": 56, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Data.Prod.Lex.covBy_iff
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Prod.Lex)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem covBy_iff {a b : α ×ₗ β} :\n a...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Prod.Lex).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem covBy_iff {a b : α ×ₗ β} :...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Data/Prod/Lex.lean", "module": "Mathlib.Data.Prod.Lex", "declaration": "Mathlib.Data.Prod.Lex.covBy_iff", "span": "L102-L113", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9dd8da3aa...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 203, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 572, "lean_code_chars": 175, "natural_language_chars": 397, "lean_code_ratio": 0.3059, "line_count": 9, "imports_count": 0, "declarations_count": 70, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder.LocallyFiniteOrder
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ndef LocallyFini...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean def Loca...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Order/Monoid/LocallyFiniteOrder.lean", "module": "Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder", "declaration": "Mathlib.Algebra.Order.Monoid.LocallyFiniteOrder.LocallyFiniteOrder", "span": "L75-L102", "source_url": ...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 141, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 488, "lean_code_chars": 65, "natural_language_chars": 423, "lean_code_ratio": 0.1332, "line_count": 9, "imports_count": 0, "declarations_count": 52, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Data.Set.Accumulate.accumulate_eq_biInter_lt
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Accumulate)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem accumulate_eq_biInter_lt {s...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Accumulate).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem accumulate_eq_biInte...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Data/Set/Accumulate.lean", "module": "Mathlib.Data.Set.Accumulate", "declaration": "Mathlib.Data.Set.Accumulate.accumulate_eq_biInter_lt", "span": "L38-L40", "source_url": "https://github.com/leanprover-community/mathlib4/blob/...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 152, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 496, "lean_code_chars": 93, "natural_language_chars": 403, "lean_code_ratio": 0.1875, "line_count": 7, "imports_count": 0, "declarations_count": 58, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.RingTheory.MvPolynomial.Basic.restrictScalars_restrictSupportIdeal
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.MvPolynomial.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma restrictScalars_res...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.MvPolynomial.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma restrictScal...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/RingTheory/MvPolynomial/Basic.lean", "module": "Mathlib.RingTheory.MvPolynomial.Basic", "declaration": "Mathlib.RingTheory.MvPolynomial.Basic.restrictScalars_restrictSupportIdeal", "span": "L160-L166", "source_url": "https://gi...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 150, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 511, "lean_code_chars": 98, "natural_language_chars": 413, "lean_code_ratio": 0.1918, "line_count": 8, "imports_count": 0, "declarations_count": 53, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Order.UpperLower.Principal.Ioi_eq_top
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Principal)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem Ioi_eq_top [OrderTop...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.UpperLower.Principal).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem Ioi_eq_top [O...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Order/UpperLower/Principal.lean", "module": "Mathlib.Order.UpperLower.Principal", "declaration": "Mathlib.Order.UpperLower.Principal.Ioi_eq_top", "span": "L122-L126", "source_url": "https://github.com/leanprover-community/mathl...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 141, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 470, "lean_code_chars": 60, "natural_language_chars": 410, "lean_code_ratio": 0.1277, "line_count": 7, "imports_count": 0, "declarations_count": 53, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.NumberTheory.Transcendental.Liouville.Measure.Real
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.NumberTheory.Transcendental.Liouville.Measure)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem R...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.NumberTheory.Transcendental.Liouville.Measure).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean th...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/NumberTheory/Transcendental/Liouville/Measure.lean", "module": "Mathlib.NumberTheory.Transcendental.Liouville.Measure", "declaration": "Mathlib.NumberTheory.Transcendental.Liouville.Measure.Real", "span": "L123-L124", "source_u...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 140, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 499, "lean_code_chars": 70, "natural_language_chars": 429, "lean_code_ratio": 0.1403, "line_count": 7, "imports_count": 0, "declarations_count": 52, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.LinearAlgebra.Multilinear.Curry.currySum_uncurrySum
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Multilinear.Curry)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma currySum_uncurryS...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Multilinear.Curry).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma currySum_u...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/LinearAlgebra/Multilinear/Curry.lean", "module": "Mathlib.LinearAlgebra.Multilinear.Curry", "declaration": "Mathlib.LinearAlgebra.Multilinear.Curry.currySum_uncurrySum", "span": "L315-L323", "source_url": "https://github.com/le...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 182, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 581, "lean_code_chars": 166, "natural_language_chars": 415, "lean_code_ratio": 0.2857, "line_count": 10, "imports_count": 0, "declarations_count": 68, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Topology.NhdsWithin.closure_pi_set
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.NhdsWithin)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem closure_pi_set {ι : Type*} ...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.NhdsWithin).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem closure_pi_set {ι : ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Topology/NhdsWithin.lean", "module": "Mathlib.Topology.NhdsWithin", "declaration": "Mathlib.Topology.NhdsWithin.closure_pi_set", "span": "L411-L414", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 177, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 570, "lean_code_chars": 167, "natural_language_chars": 403, "lean_code_ratio": 0.293, "line_count": 8, "imports_count": 0, "declarations_count": 70, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.LinearAlgebra.FixedSubmodule.mem_fixedSubmodule_iff
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.FixedSubmodule)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem mem_fixedSubmodule...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.FixedSubmodule).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem mem_fixedSu...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/LinearAlgebra/FixedSubmodule.lean", "module": "Mathlib.LinearAlgebra.FixedSubmodule", "declaration": "Mathlib.LinearAlgebra.FixedSubmodule.mem_fixedSubmodule_iff", "span": "L42-L45", "source_url": "https://github.com/leanprover...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 152, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 504, "lean_code_chars": 92, "natural_language_chars": 412, "lean_code_ratio": 0.1825, "line_count": 8, "imports_count": 0, "declarations_count": 59, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Analysis.Calculus.BumpFunction.Normed.normed_le_div_measure_closedBall_rOut
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Calculus.BumpFunction.Normed)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem normed_le...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Calculus.BumpFunction.Normed).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem no...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Analysis/Calculus/BumpFunction/Normed.lean", "module": "Mathlib.Analysis.Calculus.BumpFunction.Normed", "declaration": "Mathlib.Analysis.Calculus.BumpFunction.Normed.normed_le_div_measure_closedBall_rOut", "span": "L137-L152", ...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 188, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 601, "lean_code_chars": 180, "natural_language_chars": 421, "lean_code_ratio": 0.2995, "line_count": 9, "imports_count": 0, "declarations_count": 65, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Analysis.SpecialFunctions.Exponential.hasStrictDerivAt_exp_smul_const_of_mem_ball'
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.SpecialFunctions.Exponential)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem hasStrict...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.SpecialFunctions.Exponential).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem ha...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Analysis/SpecialFunctions/Exponential.lean", "module": "Mathlib.Analysis.SpecialFunctions.Exponential", "declaration": "Mathlib.Analysis.SpecialFunctions.Exponential.hasStrictDerivAt_exp_smul_const_of_mem_ball'", "span": "L324-L3...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 213, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 624, "lean_code_chars": 203, "natural_language_chars": 421, "lean_code_ratio": 0.3253, "line_count": 9, "imports_count": 0, "declarations_count": 67, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.BigOperators.Field.dens_biUnion_le
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.BigOperators.Field)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma dens_biUnion_le [Decid...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.BigOperators.Field).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma dens_biUnion_le...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/BigOperators/Field.lean", "module": "Mathlib.Algebra.BigOperators.Field", "declaration": "Mathlib.Algebra.BigOperators.Field.dens_biUnion_le", "span": "L45-L49", "source_url": "https://github.com/leanprover-community/ma...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 144, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 491, "lean_code_chars": 81, "natural_language_chars": 410, "lean_code_ratio": 0.165, "line_count": 7, "imports_count": 0, "declarations_count": 57, "diagnostics_count": 0, "r...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Topology.Compactness.Lindelof.IsLindelof
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Compactness.Lindelof)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem IsLindelof.inter_...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Compactness.Lindelof).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem IsLindelof...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Topology/Compactness/Lindelof.lean", "module": "Mathlib.Topology.Compactness.Lindelof", "declaration": "Mathlib.Topology.Compactness.Lindelof.IsLindelof", "span": "L241-L248", "source_url": "https://github.com/leanprover-commun...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 212, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 628, "lean_code_chars": 215, "natural_language_chars": 413, "lean_code_ratio": 0.3424, "line_count": 9, "imports_count": 0, "declarations_count": 76, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.GroupWithZero.Units.Basic.eq_mul_inverse_iff_mul_eq
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.GroupWithZero.Units.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem eq_mul_invers...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.GroupWithZero.Units.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem eq_mul...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/GroupWithZero/Units/Basic.lean", "module": "Mathlib.Algebra.GroupWithZero.Units.Basic", "declaration": "Mathlib.Algebra.GroupWithZero.Units.Basic.eq_mul_inverse_iff_mul_eq", "span": "L124-L129", "source_url": "https://g...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 159, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 506, "lean_code_chars": 89, "natural_language_chars": 417, "lean_code_ratio": 0.1759, "line_count": 7, "imports_count": 0, "declarations_count": 61, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Combinatorics.SimpleGraph.DegreeSum.dart_fst_fiber_card_eq_degree
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.DegreeSum)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem dart_fst_fi...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.DegreeSum).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem dart...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean", "module": "Mathlib.Combinatorics.SimpleGraph.DegreeSum", "declaration": "Mathlib.Combinatorics.SimpleGraph.DegreeSum.dart_fst_fiber_card_eq_degree", "span": "L66-L70", "source_url": "h...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 156, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 526, "lean_code_chars": 107, "natural_language_chars": 419, "lean_code_ratio": 0.2034, "line_count": 8, "imports_count": 0, "declarations_count": 58, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Homology.AlternatingConst.alternatingConstHomologyDataZero
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.AlternatingConst)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ndef alternatingConstH...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.AlternatingConst).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean def alternatin...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Homology/AlternatingConst.lean", "module": "Mathlib.Algebra.Homology.AlternatingConst", "declaration": "Mathlib.Algebra.Homology.AlternatingConst.alternatingConstHomologyDataZero", "span": "L185-L188", "source_url": "ht...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 155, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 534, "lean_code_chars": 117, "natural_language_chars": 417, "lean_code_ratio": 0.2191, "line_count": 8, "imports_count": 0, "declarations_count": 58, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Order.Ring.IsNonarchimedean.apply_natCast_le_one_of_isNonarchimedean
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Ring.IsNonarchimedean)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma apply_natCast...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Order.Ring.IsNonarchimedean).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma apply_...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Order/Ring/IsNonarchimedean.lean", "module": "Mathlib.Algebra.Order.Ring.IsNonarchimedean", "declaration": "Mathlib.Algebra.Order.Ring.IsNonarchimedean.apply_natCast_le_one_of_isNonarchimedean", "span": "L53-L60", "sour...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 208, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 642, "lean_code_chars": 223, "natural_language_chars": 419, "lean_code_ratio": 0.3474, "line_count": 9, "imports_count": 0, "declarations_count": 71, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.GroupTheory.CoprodI.mem_smul_iff
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.CoprodI)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem mem_smul_iff {i j : ι} {m₁ ...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.CoprodI).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem mem_smul_iff {i j : ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/GroupTheory/CoprodI.lean", "module": "Mathlib.GroupTheory.CoprodI", "declaration": "Mathlib.GroupTheory.CoprodI.mem_smul_iff", "span": "L508-L542", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 295, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 716, "lean_code_chars": 313, "natural_language_chars": 403, "lean_code_ratio": 0.4372, "line_count": 12, "imports_count": 0, "declarations_count": 91, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Analysis.Normed.Field.UnitBall.Metric
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Normed.Field.UnitBall)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ninstance Metric.unitClos...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Normed.Field.UnitBall).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean instance Metric.u...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Analysis/Normed/Field/UnitBall.lean", "module": "Mathlib.Analysis.Normed.Field.UnitBall", "declaration": "Mathlib.Analysis.Normed.Field.UnitBall.Metric", "span": "L144-L147", "source_url": "https://github.com/leanprover-communi...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 166, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 540, "lean_code_chars": 126, "natural_language_chars": 414, "lean_code_ratio": 0.2333, "line_count": 8, "imports_count": 0, "declarations_count": 52, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Analysis.Real.Hyperreal.infinitePos_abs_iff_infinite
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Real.Hyperreal)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem infinitePos_abs_iff_inf...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.Real.Hyperreal).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem infinitePos_abs_...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Analysis/Real/Hyperreal.lean", "module": "Mathlib.Analysis.Real.Hyperreal", "declaration": "Mathlib.Analysis.Real.Hyperreal.infinitePos_abs_iff_infinite", "span": "L776-L779", "source_url": "https://github.com/leanprover-commun...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 139, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 484, "lean_code_chars": 77, "natural_language_chars": 407, "lean_code_ratio": 0.1591, "line_count": 7, "imports_count": 0, "declarations_count": 53, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.RingTheory.Polynomial.Cyclotomic.Eval.eval_one_cyclotomic_not_prime_pow
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Polynomial.Cyclotomic.Eval)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem eval_one_...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Polynomial.Cyclotomic.Eval).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem ev...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean", "module": "Mathlib.RingTheory.Polynomial.Cyclotomic.Eval", "declaration": "Mathlib.RingTheory.Polynomial.Cyclotomic.Eval.eval_one_cyclotomic_not_prime_pow", "span": "L135-L169", "sou...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 191, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 572, "lean_code_chars": 151, "natural_language_chars": 421, "lean_code_ratio": 0.264, "line_count": 8, "imports_count": 0, "declarations_count": 64, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Data.List.Basic.mem_getLast
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.List.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem mem_getLast?_append_of_mem_getL...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.List.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem mem_getLast?_append_of_m...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Data/List/Basic.lean", "module": "Mathlib.Data.List.Basic", "declaration": "Mathlib.Data.List.Basic.mem_getLast", "span": "L376-L378", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80f9...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 160, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 520, "lean_code_chars": 121, "natural_language_chars": 399, "lean_code_ratio": 0.2327, "line_count": 8, "imports_count": 0, "declarations_count": 61, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Analysis.InnerProductSpace.Spectrum.orthogonalFamily_eigenspaces'
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.Spectrum)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem orthogonalF...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.InnerProductSpace.Spectrum).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem orth...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Analysis/InnerProductSpace/Spectrum.lean", "module": "Mathlib.Analysis.InnerProductSpace.Spectrum", "declaration": "Mathlib.Analysis.InnerProductSpace.Spectrum.orthogonalFamily_eigenspaces'", "span": "L109-L115", "source_url": ...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 172, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 587, "lean_code_chars": 168, "natural_language_chars": 419, "lean_code_ratio": 0.2862, "line_count": 9, "imports_count": 0, "declarations_count": 60, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.LinearAlgebra.AffineSpace.Independent.affineIndependent_of_ne_of_notMem_of_mem_of_mem
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Independent)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem affineInd...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.Independent).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem af...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/LinearAlgebra/AffineSpace/Independent.lean", "module": "Mathlib.LinearAlgebra.AffineSpace.Independent", "declaration": "Mathlib.LinearAlgebra.AffineSpace.Independent.affineIndependent_of_ne_of_notMem_of_mem_of_mem", "span": "L876...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 214, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 624, "lean_code_chars": 203, "natural_language_chars": 421, "lean_code_ratio": 0.3253, "line_count": 9, "imports_count": 0, "declarations_count": 74, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Combinatorics.SimpleGraph.Walks.Operations.drop_add_heq
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.Walks.Operations)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma drop_a...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Combinatorics.SimpleGraph.Walks.Operations).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean", "module": "Mathlib.Combinatorics.SimpleGraph.Walks.Operations", "declaration": "Mathlib.Combinatorics.SimpleGraph.Walks.Operations.drop_add_heq", "span": "L519-L522", "source_ur...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 155, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 509, "lean_code_chars": 83, "natural_language_chars": 426, "lean_code_ratio": 0.1631, "line_count": 7, "imports_count": 0, "declarations_count": 61, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Quandle.invAct_act_eq
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Quandle)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem invAct_act_eq (x y : R) : x ◃⁻¹...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Quandle).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem invAct_act_eq (x y : R) ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Quandle.lean", "module": "Mathlib.Algebra.Quandle", "declaration": "Mathlib.Algebra.Quandle.invAct_act_eq", "span": "L201-L203", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd25535344f80...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 136, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 449, "lean_code_chars": 50, "natural_language_chars": 399, "lean_code_ratio": 0.1114, "line_count": 7, "imports_count": 0, "declarations_count": 55, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Topology.EMetricSpace.Lipschitz.edist_iterate_succ_le_geometric
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.EMetricSpace.Lipschitz)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem edist_iterate_s...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.EMetricSpace.Lipschitz).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem edist_it...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Topology/EMetricSpace/Lipschitz.lean", "module": "Mathlib.Topology.EMetricSpace.Lipschitz", "declaration": "Mathlib.Topology.EMetricSpace.Lipschitz.edist_iterate_succ_le_geometric", "span": "L272-L303", "source_url": "https://g...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 191, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 567, "lean_code_chars": 152, "natural_language_chars": 415, "lean_code_ratio": 0.2681, "line_count": 8, "imports_count": 0, "declarations_count": 68, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Data.Seq.Computation.eq_of_bisim
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Seq.Computation)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem eq_of_bisim (bisim : IsBis...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Seq.Computation).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem eq_of_bisim (bisim ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Data/Seq/Computation.lean", "module": "Mathlib.Data.Seq.Computation", "declaration": "Mathlib.Data.Seq.Computation.eq_of_bisim", "span": "L254-L284", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 150, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 483, "lean_code_chars": 79, "natural_language_chars": 404, "lean_code_ratio": 0.1636, "line_count": 7, "imports_count": 0, "declarations_count": 58, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Topology.Order.Basic.induced_topology_eq_preorder
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Order.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem induced_topology_eq_preord...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Topology.Order.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem induced_topology_eq...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Topology/Order/Basic.lean", "module": "Mathlib.Topology.Order.Basic", "declaration": "Mathlib.Topology.Order.Basic.induced_topology_eq_preorder", "span": "L273-L293", "source_url": "https://github.com/leanprover-community/mathl...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 267, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 747, "lean_code_chars": 343, "natural_language_chars": 404, "lean_code_ratio": 0.4592, "line_count": 11, "imports_count": 0, "declarations_count": 98, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.MonoidAlgebra.Defs.mul_def
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.MonoidAlgebra.Defs)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma mul_def (x y : R[M]) :...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.MonoidAlgebra.Defs).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma mul_def (x y : ...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/MonoidAlgebra/Defs.lean", "module": "Mathlib.Algebra.MonoidAlgebra.Defs", "declaration": "Mathlib.Algebra.MonoidAlgebra.Defs.mul_def", "span": "L424-L428", "source_url": "https://github.com/leanprover-community/mathlib4...
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{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.RingTheory.Ideal.Operations.prod_span_singleton
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Operations)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem prod_span_singleton...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Operations).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem prod_span_si...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/RingTheory/Ideal/Operations.lean", "module": "Mathlib.RingTheory.Ideal.Operations", "declaration": "Mathlib.RingTheory.Ideal.Operations.prod_span_singleton", "span": "L634-L637", "source_url": "https://github.com/leanprover-com...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 173, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 550, "lean_code_chars": 139, "natural_language_chars": 411, "lean_code_ratio": 0.2527, "line_count": 8, "imports_count": 0, "declarations_count": 65, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Order.Interval.Multiset.Icc_self
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Multiset)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem Icc_self (a : α) : Icc ...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Multiset).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem Icc_self (a : α)...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Order/Interval/Multiset.lean", "module": "Mathlib.Order.Interval.Multiset", "declaration": "Mathlib.Order.Interval.Multiset.Icc_self", "span": "L230-L231", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 129, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 448, "lean_code_chars": 41, "natural_language_chars": 407, "lean_code_ratio": 0.0915, "line_count": 7, "imports_count": 0, "declarations_count": 53, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.LinearAlgebra.Matrix.ZPow.Commute
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Matrix.ZPow)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem Commute.zpow_right {A...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.Matrix.ZPow).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem Commute.zpow_r...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/LinearAlgebra/Matrix/ZPow.lean", "module": "Mathlib.LinearAlgebra.Matrix.ZPow", "declaration": "Mathlib.LinearAlgebra.Matrix.ZPow.Commute", "span": "L194-L200", "source_url": "https://github.com/leanprover-community/mathlib4/bl...
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{ "input_tokens": 147, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 492, "lean_code_chars": 83, "natural_language_chars": 409, "lean_code_ratio": 0.1687, "line_count": 7, "imports_count": 0, "declarations_count": 60, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Ring.Opposite.instRing
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Ring.Opposite)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ninstance instRing [Ring R] : Ring...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Ring.Opposite).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean instance instRing [Ring R]...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Ring/Opposite.lean", "module": "Mathlib.Algebra.Ring.Opposite", "declaration": "Mathlib.Algebra.Ring.Opposite.instRing", "span": "L198-L201", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 136, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 455, "lean_code_chars": 50, "natural_language_chars": 405, "lean_code_ratio": 0.1099, "line_count": 8, "imports_count": 0, "declarations_count": 54, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.GroupTheory.GroupAction.Jordan.MulAction
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.GroupAction.Jordan)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem MulAction.IsPrep...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.GroupTheory.GroupAction.Jordan).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem MulAction...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/GroupTheory/GroupAction/Jordan.lean", "module": "Mathlib.GroupTheory.GroupAction.Jordan", "declaration": "Mathlib.GroupTheory.GroupAction.Jordan.MulAction", "span": "L247-L306", "source_url": "https://github.com/leanprover-comm...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 220, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 690, "lean_code_chars": 276, "natural_language_chars": 414, "lean_code_ratio": 0.4, "line_count": 11, "imports_count": 0, "declarations_count": 71, "diagnostics_count": 0, "r...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Homology.ExactSequenceFour.epi_cokerToKer'
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.ExactSequenceFour)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma epi_cokerToKer...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Homology.ExactSequenceFour).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma epi_cok...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Homology/ExactSequenceFour.lean", "module": "Mathlib.Algebra.Homology.ExactSequenceFour", "declaration": "Mathlib.Algebra.Homology.ExactSequenceFour.epi_cokerToKer'", "span": "L112-L123", "source_url": "https://github.c...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 161, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 518, "lean_code_chars": 100, "natural_language_chars": 418, "lean_code_ratio": 0.1931, "line_count": 8, "imports_count": 0, "declarations_count": 61, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Data.Set.Function.injOn_subtype_val
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Function)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem injOn_subtype_val {p : α → Pr...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Set.Function).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem injOn_subtype_val {p :...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Data/Set/Function.lean", "module": "Mathlib.Data.Set.Function", "declaration": "Mathlib.Data.Set.Function.injOn_subtype_val", "span": "L301-L303", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f97dd2...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 141, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 489, "lean_code_chars": 88, "natural_language_chars": 401, "lean_code_ratio": 0.18, "line_count": 7, "imports_count": 0, "declarations_count": 58, "diagnostics_count": 0, "re...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.LinearAlgebra.AffineSpace.AffineMap.linear_injective_iff
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.AffineMap)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem linear_inje...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.LinearAlgebra.AffineSpace.AffineMap).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem line...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean", "module": "Mathlib.LinearAlgebra.AffineSpace.AffineMap", "declaration": "Mathlib.LinearAlgebra.AffineSpace.AffineMap.linear_injective_iff", "span": "L422-L429", "source_url": "https://...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 149, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 523, "lean_code_chars": 104, "natural_language_chars": 419, "lean_code_ratio": 0.1989, "line_count": 8, "imports_count": 0, "declarations_count": 56, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.RingTheory.Valuation.ValuationSubring.valuationSubring_eq_top_iff
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Valuation.ValuationSubring)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem valuation...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Valuation.ValuationSubring).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem va...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/RingTheory/Valuation/ValuationSubring.lean", "module": "Mathlib.RingTheory.Valuation.ValuationSubring", "declaration": "Mathlib.RingTheory.Valuation.ValuationSubring.valuationSubring_eq_top_iff", "span": "L473-L482", "source_ur...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 144, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 501, "lean_code_chars": 80, "natural_language_chars": 421, "lean_code_ratio": 0.1597, "line_count": 7, "imports_count": 0, "declarations_count": 50, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.RingTheory.Ideal.Maps.annihilator_span_singleton
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Maps)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem annihilator_span_singleto...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.RingTheory.Ideal.Maps).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem annihilator_span_s...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/RingTheory/Ideal/Maps.lean", "module": "Mathlib.RingTheory.Ideal.Maps", "declaration": "Mathlib.RingTheory.Ideal.Maps.annihilator_span_singleton", "span": "L984-L987", "source_url": "https://github.com/leanprover-community/math...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 151, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 519, "lean_code_chars": 114, "natural_language_chars": 405, "lean_code_ratio": 0.2197, "line_count": 8, "imports_count": 0, "declarations_count": 59, "diagnostics_count": 0, ...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Data.Matrix.Diagonal.diagonal_apply
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Matrix.Diagonal)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\ntheorem diagonal_apply [Zero α] (d...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Data.Matrix.Diagonal).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean theorem diagonal_apply [Zer...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Data/Matrix/Diagonal.lean", "module": "Mathlib.Data.Matrix.Diagonal", "declaration": "Mathlib.Data.Matrix.Diagonal.diagonal_apply", "span": "L54-L56", "source_url": "https://github.com/leanprover-community/mathlib4/blob/5e932f9...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 147, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 498, "lean_code_chars": 94, "natural_language_chars": 404, "lean_code_ratio": 0.1888, "line_count": 7, "imports_count": 0, "declarations_count": 64, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Order.Interval.Finset.Basic.nonempty_Ioi
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Finset.Basic)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma nonempty_Ioi : (Ioi a...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Order.Interval.Finset.Basic).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma nonempty_Ioi :...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Order/Interval/Finset/Basic.lean", "module": "Mathlib.Order.Interval.Finset.Basic", "declaration": "Mathlib.Order.Interval.Finset.Basic.nonempty_Ioi", "span": "L349-L350", "source_url": "https://github.com/leanprover-community/...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 132, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 461, "lean_code_chars": 50, "natural_language_chars": 411, "lean_code_ratio": 0.1085, "line_count": 7, "imports_count": 0, "declarations_count": 53, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Algebra.Group.Pointwise.Set.Scalar.image_vsub_prod
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Group.Pointwise.Set.Scalar)." }, { "role": "user", "content": "Complete the following proof.\n\n```lean\nlemma image_vsub_pro...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Algebra.Group.Pointwise.Set.Scalar).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the following proof. ```lean lemma image_v...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Algebra/Group/Pointwise/Set/Scalar.lean", "module": "Mathlib.Algebra.Group.Pointwise.Set.Scalar", "declaration": "Mathlib.Algebra.Group.Pointwise.Set.Scalar.image_vsub_prod", "span": "L232-L233", "source_url": "https://github.c...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 153, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 494, "lean_code_chars": 76, "natural_language_chars": 418, "lean_code_ratio": 0.1538, "line_count": 7, "imports_count": 0, "declarations_count": 56, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
A-Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart.quasispectrum_realPart'
A
[ { "role": "system", "content": "You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart)." }, { "role": "user", "content": "Complete the following proof...
<s>[SYSTEM_PROMPT]You are Leanstral, a Lean 4 proof assistant. The target mathlib commit is 5e932f97dd25535344f80f9dd8da3aab83df0fe6 (module Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart).[/SYSTEM_PROMPT][MODEL_SETTINGS]{"reasoning_effort": "none"}[/MODEL_SETTINGS][INST]Complete the follo...
{ "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "file": "Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/RealImaginaryPart.lean", "module": "Mathlib.Analysis.CStarAlgebra.ContinuousFunctionalCalculus.RealImaginaryPart", "declaration": "Mathlib.Analysis.CStarAlgebra.ContinuousFunctiona...
{ "project_commit": "05e9d49ed350cd358ce0314cb0c563850b8fd8c7", "dataseek_commit": "4fbe94ef64ee1f07f80a1bd8c52e0889f4e4e33a", "mathlib_commit": "5e932f97dd25535344f80f9dd8da3aab83df0fe6", "lean_toolchain": "leanprover/lean4:v4.29.1", "leandojo_version": "1.0.9", "python_version": "3.11.15", "tokenizer_id...
{ "input_tokens": 144, "tokenizer": "mistralai/Leanstral-1.5-119B-A6B:tekken.json", "approximate_tokens": false, "chars": 511, "lean_code_chars": 59, "natural_language_chars": 452, "lean_code_ratio": 0.1155, "line_count": 7, "imports_count": 0, "declarations_count": 53, "diagnostics_count": 0, "...
{ "accepted_for_ptq_calibration": true, "reason_codes": [], "decision_layer": "deterministic", "soft_review_flags": [], "soft_review_applied_to_decision": false }
End of preview. Expand in Data Studio

Leanstral Mathlib calibration corpora

The sample data comes from the pinned Apache-2.0-licensed Mathlib source tree. This repository holds the data and curated methods documentation—but not the separately developed builder package.

This dataset contains the calibration corpora used to pick a static FP8 activation profile for an MXFP4 W4A8 conversion of Leanstral 1.5 119B-A6B. It publishes every candidate corpus, their manifests, the shared iterative-development pack, and the post-selection release-validation packs. Variant 1 also appears separately as the selected subset.

You can inspect the exact samples that shaped the activation profile, reproduce the corpus comparison yourself, or try a different quantization method without having to rebuild the data-selection pipeline from scratch.

Loading with 🤗 Datasets

Every corpus is its own named Hugging Face configuration. selected is the default, and it's byte-identical to Variant 1:

from datasets import load_dataset

selected = load_dataset(
    "robbiemu/leanstral-mathlib-calibration-corpora", split="calibration"
)
variant_2 = load_dataset(
    "robbiemu/leanstral-mathlib-calibration-corpora",
    "variant-2",
    split="calibration",
)
release_validation = load_dataset(
    "robbiemu/leanstral-mathlib-calibration-corpora",
    "release-validation",
    split="validation",
)

The available configuration names are selected, variant-1 through variant-6, development, release-validation, and historical-validation. Each shows up as a separate subset in the Hub Dataset Viewer, and you can pass any of them as the second argument to load_dataset.

Contents

Every calibration variant contains 512 source-grounded records. The original four candidates keep the model, quantization rule, sample count, and category vocabulary fixed, and only vary the data distribution.

Split Role Summary Release status
variant-1 empirical baseline A140/B110/C90/D70/E60/F42, balanced from the measured corpus Selected
variant-2 context-enriched increases surrounding-source context under the same experimental contract Research candidate
variant-3 tail-coverage targets sparse and long-tail source behavior Research candidate
variant-4 length-stratified explicitly balances input-length strata Research candidate
variant-5 first composite coherent corpus assembled from strengths observed in V1–V4 Research candidate
variant-6 constrained V1 composite 464 V1 records plus 48 D/E short-or-medium substitutions from V5 Rejected
development iterative validation shared 100-example comparison pack Not an untouched test
release-validation final validation fresh 144-example pack frozen after V1 selection Quality gate evidence
historical-validation prior validation earlier 144-example pack retained for provenance Historical only
selected convenience alias/copy exact Variant 1 records Selected

V5 and V6 are complete calibration corpora, not mixtures of activation-scale values—each one was recalibrated from scratch as one coherent static FP8 profile.

Repository layout

README.md
data/
  variant-1/calibration_samples.jsonl
  variant-2/calibration_samples.jsonl
  variant-3/calibration_samples.jsonl
  variant-4/calibration_samples.jsonl
  variant-5/calibration_samples.jsonl
  variant-6/calibration_samples.jsonl
  selected/calibration_samples.jsonl
  development/validation.jsonl
  release-validation/validation.jsonl
  historical-validation/validation.jsonl
manifests/
  variant-1.json
  variant-2.json
  variant-3.json
  variant-4.json
  variant-5.json
  variant-6.json
  development.json
  release-validation.json
  historical-validation.json
docs/
  corpus-construction.md
  calibration-selection.md
schema.json
SHA256SUMS

Each published split manifest records its source revision, tokenizer identity, sample count, token count, category and length distributions, provenance completeness, deduplication counts, and SHA-256. The records contain the original environment receipt, duplicate fingerprints, and leakage and admission results.

Record format

The quantization input is JSON Lines. Each published record preserves:

  • a stable record identifier;
  • category and context-length stratum;
  • the exact rendered_text given to the calibration runtime;
  • tokenizer-derived length;
  • source-location and source-revision provenance;
  • content/fingerprint fields used for deduplication; and
  • admission and leakage-check metadata needed to audit the split.

The checked-in schema is generated from the actual JSONL files rather than from this prose. Release preparation removed private machine paths and internal operational metadata without changing sample text or stable identifiers.

Construction method

The builder is deterministic from pinned inputs. It:

  1. selects source-grounded Lean/Mathlib material from a pinned Mathlib tree;
  2. renders the exact model-facing text;
  3. counts tokens with Leanstral's Tekken tokenizer;
  4. applies source-aware deduplication and leakage exclusions;
  5. assigns category and length strata;
  6. admits records according to the variant's frozen distribution; and
  7. writes the JSONL and a provenance manifest together.

Variant 1 uses the empirical category allocation:

A 140
B 110
C  90
D  70
E  60
F  42
total 512

The category definitions and exact pinned revisions are recorded in docs/corpus-construction.md. Those values come from the machine manifests rather than being retyped for this card.

Why Variant 1 is selected

The candidates were evaluated as frozen static per-tensor FP8 activation profiles on the same MXFP4 weights. Once FlashInfer startup autotuning turned out to be the source of small cross-restart numerical drift, I compared V1–V5 across five independent, normally autotuned cold starts. Every profile used the same dynamic reference within each start.

V1 came out ahead on candidate NLL, signed NLL delta, mean absolute per-example NLL delta, top-1 agreement, and top-1 flip count in all five starts. V5 consistently improved mean and maximum KL and fixed recurring V1 tail failures, but it lost central NLL/top-1 quality in every start and brought its own stable failures along with it.

Variant 6 tested the strongest remaining simple-composite hypothesis: keep 464 V1 records, make 48 targeted D/E substitutions, then recalibrate the whole thing as one complete profile. V6 improved mean KL in every start, but its V6-minus-V1 candidate NLL averaged +0.028728 and top-1 agreement averaged -0.042—both outside the frozen +0.01 and -0.01 central-quality margins. Dropping the first start and using 2–5 alone doesn't change that decision.

Under normal FlashInfer startup variation, V1 consistently gives the best ordinary predictive preservation. The KL-tail improvements on the table are real, but neither V5 nor a targeted V1-centered composite gets there without an unacceptable hit to central quality.

What this experiment selects is the exact frozen V1 corpus/profile pair—it's not a claim that V1 is universally optimal for every model, quantizer, or future recalibration.

Selected artifact receipt

Variant 1 calibration JSONL:
  sha256 57e1e10fce8a6a62cef14e58e26109065104fe109c4075c6b6f302726918ed57
  records 512

Variant 1 static activation profile:
  sha256 5480257595178836022477080bc6132e2accff2d6e26c959b092e57a0f911531
  ModelOpt 0.37.0
  288 keys / 9,432 finite positive scale values

development pack:
  sha256 8cdbf9cfcc2b9c1bcb305c14f979799be6a7b9efad54dd4e5a281f00c152ccdf

replicated V1–V5 aggregate:
  sha256 2a20473486a7a84efb462aff12b28c2319ce86a45ca0ead2d74a919ced270324

Variant 6 corpus:
  sha256 6b1a712d8ed90b7403b9ffbc3f71a73411eff5c920b3043a2ea17cb255e11856

Variant 6 activation profile:
  sha256 7f426c18d4ee09d07c4687fca82bce63f7bbdd9c427f230cefb9465213d569ce

Intended uses

Appropriate uses include:

  • reproducing the Leanstral MXFP4 static-FP8 profile experiment;
  • studying calibration-corpus sensitivity;
  • benchmarking alternative activation quantizers; and
  • auditing category, length, expert-coverage, and tail behavior.

This is calibration and iterative-development data—not a general instruction-tuning corpus, and not a general model-quality benchmark. The release-validation split stayed untouched during profile selection. It is published as the completed release-gate evidence, not advertised as a reusable hidden test.

Limitations

  • The sample-selection result is specific to this model, weight artifact, static max-calibration method, and 100-example development comparator.
  • The validation pack informed V5 and V6.
  • The fresh 144-example release pack was evaluated once after V1 was frozen; its failed Top-1 and KL-tail criteria are disclosed in the model repository.
  • KL measures one next-token top-five-plus-other partition per example, not the worst teacher-forced token position.
  • Normally autotuned cold starts are the independent replication units.
  • Lower overflow-risk counts did not reliably predict better model behavior.
  • The separately developed builder package is not included. This repository supports artifact-level audit and reuse, not an exact source-level builder rerun.
  • The Apache-2.0 declaration covers the published Mathlib-derived data only. Model weights and tokenizer assets are distributed separately, in the model repository, under the official source model's terms.

Reproducibility documents

This dataset repository includes the construction document, while the model repository holds the detailed evaluation receipts:

  • activation-profile selection;
  • replicated normally autotuned profile study; and
  • constrained V1-centered composite result.
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