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example_id string | source_dataset string | source_url string | repo_commit string | file_path string | lean_version string | mathlib_version string | extractor_version string | theorem_name string | theorem_statement_raw string | theorem_source_raw string | imports list | proof_id string | step_index int64 | state_before_raw string | state_before_structured string | state_before_internal string | tactic_raw string | tactic_internal string | state_after_raw string | state_after_structured string | state_after_internal string | terminal bool | available_context list | source_start string | source_end string | theorem_fingerprint string | state_fingerprint string | transition_fingerprint string | provenance string | split string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ltc-v2:424864c02d6893b0f9750c50817bdc6c0f4f08a523faf2295d969fef8e845a20 | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000650.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_657 | "theorem thm_657 (a b : ℤ) :\n (∃ (f : ℤ → ℤ), ∀ (x y : ℤ), f x = x^2 + x * y + y^2 (...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_657 | 0 | "a b : ℤ\n⊢ (∃ f, ∀ (x y : ℤ), f x = x ^ 2 + x * y + y ^ 2 → f x = (x + y) ^ 3 → x = 1(...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"a\",\"b\"],\"local_type_raw\":\"ℤ\",\"raw\":\"a (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":216,\"kind\":\"syntheticOpaque\",\"localContext\(...TRUNCATED) | rintro ⟨f, hf⟩ | "{\"atomicSource\":\"rintro ⟨f, hf⟩\",\"atomicTransitions\":[{\"sourceEnd\":{\"column\":17,\"lin(...TRUNCATED) | "case intro\na b : ℤ\nf : ℤ → ℤ\nhf : ∀ (x y : ℤ), f x = x ^ 2 + x * y + y ^ 2 → f x =(...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"a\",\"b\"],\"local_type_raw\":\"ℤ\",\"raw\":\"a (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":225,\"kind\":\"syntheticOpaque\",\"localContext\(...TRUNCATED) | false | [] | {"column":3,"line":11} | {"column":17,"line":11} | ab13b1c96b3a0a86ec0d287ed21c705b917ee6a3553b5f775bc9f595c8d5dbea | e7112be0dc959eed4c503fe6272ec63dbfa6193607469112b20d3fb671364fbd | 3a4b5f9fb71203dd023c8cafbb29043e190c2ec4d8db77d377f27073eaffd104 | "{\"atomic_transition_count\":3,\"compound_transition_count\":0,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:823269fcaa7d7d9cef507cfafecc66ca13016f9bb77062d4f096cf8ee8f9d629 | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000650.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_657 | "theorem thm_657 (a b : ℤ) :\n (∃ (f : ℤ → ℤ), ∀ (x y : ℤ), f x = x^2 + x * y + y^2 (...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_657 | 1 | "case intro\na b : ℤ\nf : ℤ → ℤ\nhf : ∀ (x y : ℤ), f x = x ^ 2 + x * y + y ^ 2 → f x =(...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"a\",\"b\"],\"local_type_raw\":\"ℤ\",\"raw\":\"a (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":225,\"kind\":\"syntheticOpaque\",\"localContext\(...TRUNCATED) | use 1, 2 | "{\"atomicSource\":\"use 1, 2\",\"atomicTransitions\":[{\"sourceEnd\":{\"column\":11,\"line\":12},\"(...TRUNCATED) | "case h\na b : ℤ\nf : ℤ → ℤ\nhf : ∀ (x y : ℤ), f x = x ^ 2 + x * y + y ^ 2 → f x = (x (...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"a\",\"b\"],\"local_type_raw\":\"ℤ\",\"raw\":\"a (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":239,\"kind\":\"natural\",\"localContext\":[{\"bi(...TRUNCATED) | false | [] | {"column":3,"line":12} | {"column":11,"line":12} | ab13b1c96b3a0a86ec0d287ed21c705b917ee6a3553b5f775bc9f595c8d5dbea | 1e10e291234b344456d8996a01727ad4201c1b9dfa6745a8dbcef1d1efee8f71 | d941ba606970eb4882eabada04d7dc16749c9ce9811bf2da5b764c032ee16ad2 | "{\"atomic_transition_count\":3,\"compound_transition_count\":0,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:f24f00eb112d689e15eaa3a11b097fadb8e9134fc214b7b90fdc57c1c7369827 | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000650.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_657 | "theorem thm_657 (a b : ℤ) :\n (∃ (f : ℤ → ℤ), ∀ (x y : ℤ), f x = x^2 + x * y + y^2 (...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_657 | 2 | "case h\na b : ℤ\nf : ℤ → ℤ\nhf : ∀ (x y : ℤ), f x = x ^ 2 + x * y + y ^ 2 → f x = (x (...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"a\",\"b\"],\"local_type_raw\":\"ℤ\",\"raw\":\"a (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":239,\"kind\":\"natural\",\"localContext\":[{\"bi(...TRUNCATED) | simp [hf] | "{\"atomicSource\":\"simp [hf]\",\"atomicTransitions\":[{\"sourceEnd\":{\"column\":12,\"line\":13},\(...TRUNCATED) | no goals | {"goals":[],"raw":"no goals"} | "{\"goalCount\":0,\"goals\":[],\"mctxDepth\":0,\"mvarCounter\":243,\"referencedMetavariables\":[],\"(...TRUNCATED) | true | [] | {"column":3,"line":13} | {"column":12,"line":13} | ab13b1c96b3a0a86ec0d287ed21c705b917ee6a3553b5f775bc9f595c8d5dbea | f4a436838389f12a40610493b82a994b09df3105501bdecb4352324a3e05f974 | f705f08f81d0c01eebecc0553a9f9e1fdb2d29c70caf996daae7b4023a017c10 | "{\"atomic_transition_count\":3,\"compound_transition_count\":0,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:ad5218dbd6746144442fefbb87e97e202f9a3340512de84194881e5257d6e31b | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000651.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_658 | "theorem thm_658 (a b : ℝ) (h₀ : 0 < a ∧ 0 < b) (h₁ : 0 < a ∧ 0 < b) (h₂ : a * b ≠ 0)\(...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_658 | 0 | "a b : ℝ\nh₀ h₁ : 0 < a ∧ 0 < b\nh₂ : a * b ≠ 0\nh₃ h₄ : ∀ (x y : ℝ), x ≠ 0 (...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"a\",\"b\"],\"local_type_raw\":\"ℝ\",\"raw\":\"a (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":98,\"kind\":\"syntheticOpaque\",\"localContext\"(...TRUNCATED) | intro h₅ h₆ | "{\"atomicSource\":\"intro h₅ h₆\",\"atomicTransitions\":[{\"sourceEnd\":{\"column\":14,\"line\"(...TRUNCATED) | "a b : ℝ\nh₀ h₁ : 0 < a ∧ 0 < b\nh₂ : a * b ≠ 0\nh₃ h₄ h₅ h₆ : ∀ (x y : ℝ), (...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"a\",\"b\"],\"local_type_raw\":\"ℝ\",\"raw\":\"a (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":102,\"kind\":\"syntheticOpaque\",\"localContext\(...TRUNCATED) | false | [] | {"column":3,"line":13} | {"column":14,"line":13} | 796fbfadcf5196928c19ace2b9f5f1b70c00dae896ca4c36275f5358418f0b1d | 8cd2cb3a549adde5944af29d404ab1eb6d58e461dcb1ff478d40e744e4cf65be | 59413fba584458ddd666859446ff4de5c4566bdd10c1db933896dd55f68c243e | "{\"atomic_transition_count\":2,\"compound_transition_count\":1,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:0a78e44115606ce35472c14d14d85898860984c1d9660fdea2044e115b335b49 | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000651.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_658 | "theorem thm_658 (a b : ℝ) (h₀ : 0 < a ∧ 0 < b) (h₁ : 0 < a ∧ 0 < b) (h₂ : a * b ≠ 0)\(...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_658 | 1 | "a b : ℝ\nh₀ h₁ : 0 < a ∧ 0 < b\nh₂ : a * b ≠ 0\nh₃ h₄ h₅ h₆ : ∀ (x y : ℝ), (...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"a\",\"b\"],\"local_type_raw\":\"ℝ\",\"raw\":\"a (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":102,\"kind\":\"syntheticOpaque\",\"localContext\(...TRUNCATED) | exact ⟨1, by norm_num, h₅⟩ | "{\"atomicSource\":null,\"atomicTransitions\":[{\"sourceEnd\":{\"column\":24,\"line\":14},\"sourceSt(...TRUNCATED) | no goals | {"goals":[],"raw":"no goals"} | "{\"goalCount\":0,\"goals\":[],\"mctxDepth\":0,\"mvarCounter\":111,\"referencedMetavariables\":[],\"(...TRUNCATED) | true | [] | {"column":3,"line":14} | {"column":29,"line":14} | 796fbfadcf5196928c19ace2b9f5f1b70c00dae896ca4c36275f5358418f0b1d | 84167a716858063199d846ed03ef14e9f10967b6df125c544b5bca34d18396eb | fdd458b211d3470b31bef5e60c03791737d70795779e3ddcab0abe672668aa62 | "{\"atomic_transition_count\":2,\"compound_transition_count\":1,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:2b55dac9ff0c3df35d1285b3c5c57f055938a936110e7a8373fde98e21e1c535 | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000652.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_659 | "theorem thm_659 :\n ∀ n : ℕ, n ≥ 1 → ∀ a : ℕ → ℝ, a 1 = 2 → a 2 = 6 → ∀ S : (...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_659 | 0 | "⊢ ∀ n ≥ 1,\n ∀ (a : ℕ → ℝ),\n a 1 = 2 →\n a 2 = 6 →\n ∀(...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[],\"local_names\":[],\"raw\":\"⊢ ∀ n ≥ 1,\\n ∀ (a : ℕ →(...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":98,\"kind\":\"syntheticOpaque\",\"localContext\"(...TRUNCATED) | intro n hn a ha hb S hS1 hS2 d hd1 n hn1 sumlt | "{\"atomicSource\":\"intro n hn a ha hb S hS1 hS2 d hd1 n hn1 sumlt\",\"atomicTransitions\":[{\"sour(...TRUNCATED) | "n✝ : ℕ\nhn : n✝ ≥ 1\na : ℕ → ℝ\nha : a 1 = 2\nhb : a 2 = 6\nS : ℕ → ℝ\nhS1 : S (...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"n✝\"],\"local_type_raw\":\"ℕ\",\"raw\":\"n✝ (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":123,\"kind\":\"syntheticOpaque\",\"localContext\(...TRUNCATED) | false | [
"Finset.range"
] | {"column":3,"line":13} | {"column":49,"line":13} | 850285be9eabd144976626f501b33b32a89d60eeeebfa757392adf0a92081314 | f8a1916a493ab1748183ba14e36224921419e605e04f3682349d2b36c8c91e83 | 91a3e1d99cbdf3d718ee881f9b00dd61290d40cd75873f43152926df96bfec3e | "{\"atomic_transition_count\":2,\"compound_transition_count\":0,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:a7269e2c781cb9397b92d32751f92847ce57c7699ae4eae2f8fc70f3dc6616a3 | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000652.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_659 | "theorem thm_659 :\n ∀ n : ℕ, n ≥ 1 → ∀ a : ℕ → ℝ, a 1 = 2 → a 2 = 6 → ∀ S : (...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_659 | 1 | "n✝ : ℕ\nhn : n✝ ≥ 1\na : ℕ → ℝ\nha : a 1 = 2\nhb : a 2 = 6\nS : ℕ → ℝ\nhS1 : S (...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"n✝\"],\"local_type_raw\":\"ℕ\",\"raw\":\"n✝ (...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":123,\"kind\":\"syntheticOpaque\",\"localContext\(...TRUNCATED) | exact ⟨n, hn1, sumlt⟩ | "{\"atomicSource\":\"exact ⟨n, hn1, sumlt⟩\",\"atomicTransitions\":[{\"sourceEnd\":{\"column\":2(...TRUNCATED) | no goals | {"goals":[],"raw":"no goals"} | "{\"goalCount\":0,\"goals\":[],\"mctxDepth\":0,\"mvarCounter\":129,\"referencedMetavariables\":[],\"(...TRUNCATED) | true | [
"Finset.range"
] | {"column":3,"line":14} | {"column":24,"line":14} | 850285be9eabd144976626f501b33b32a89d60eeeebfa757392adf0a92081314 | bf6edd7a02b8d24dac61f50c3371368c1f35ccbdbf63c9473599edf13fab94b8 | 99b46a792c62cf7e736c7cc65085e3572603e65615c09acfd8f49345ec64a36e | "{\"atomic_transition_count\":2,\"compound_transition_count\":0,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:366c9ee8d8ef0261cbfb23ef5d8474d0fa847e9ed3b71ff9d05464d5b788434d | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000653.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_660 | "theorem thm_660 :\n ∃ (g h : ℝ → ℝ), (∀ x, g (h x) = h (g x)) ∧ (∀ x, g x = x) ∧ ((...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_660 | 0 | "⊢ ∃ g h,\n (∀ (x : ℝ), g (h x) = h (g x)) ∧\n (∀ (x : ℝ), g x = x) ∧ (∀ ((...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[],\"local_names\":[],\"raw\":\"⊢ ∃ g h,\\n (∀ (x : ℝ), g (h(...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":12,\"kind\":\"syntheticOpaque\",\"localContext\"(...TRUNCATED) | refine' ⟨id, id, fun x ↦ rfl, fun x ↦ rfl, fun x ↦ rfl, fun x ↦ rfl, fun x ↦ rfl⟩ | "{\"atomicSource\":\"refine' ⟨id, id, fun x ↦ rfl, fun x ↦ rfl, fun x ↦ rfl, fun x ↦ rfl, (...TRUNCATED) | no goals | {"goals":[],"raw":"no goals"} | "{\"goalCount\":0,\"goals\":[],\"mctxDepth\":0,\"mvarCounter\":42,\"referencedMetavariables\":[],\"u(...TRUNCATED) | true | [
"id",
"rfl"
] | {"column":3,"line":10} | {"column":84,"line":10} | a5d6c46cadb60217200e605ab043fe8bca5a83f4ce5f6be8629e49f1c45af566 | dec2cb7f003c8e74f83343cc626871034ecfad8f021db39943d5da8a54345537 | 7c61031e9ac89ce68afb0d7b2b83568851ce9e3d84510577cbaa51b790d0b51f | "{\"atomic_transition_count\":1,\"compound_transition_count\":0,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:d14d48f6f08a541d4ac0733261b377ac6836805a35b1f9abf39c6f41dbe55d65 | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000654.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_661 | "theorem thm_661 (students_band students_chorus students_both : ℕ)\n (h₀ : students_band = 70)\(...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_661 | 0 | "students_band students_chorus students_both : ℕ\nh₀ : students_band = 70\nh₁ : students_choru(...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"students_band\",\"students_chorus\",\"students_bot(...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":20,\"kind\":\"syntheticOpaque\",\"localContext\"(...TRUNCATED) | simp [h₀, h₁] at h₂ | "{\"atomicSource\":\"simp [h₀, h₁] at h₂\",\"atomicTransitions\":[{\"sourceEnd\":{\"column\":2(...TRUNCATED) | "students_band students_chorus students_both : ℕ\nh₀ : students_band = 70\nh₁ : students_choru(...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"students_band\",\"students_chorus\",\"students_bot(...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":25,\"kind\":\"syntheticOpaque\",\"localContext\"(...TRUNCATED) | false | [] | {"column":3,"line":13} | {"column":22,"line":13} | 9287984c7628b99f0f72c7f85b836ed264d43ec006e9db7a03d2d1dee023a607 | 2356b318ed33cf762d59cfeb59c6ff344518163a36c83152af4cce1090257991 | 9ce031df7fe05b0916d5812de7064d0e8a259aa6817ae8a1ccd638060eebff2f | "{\"atomic_transition_count\":2,\"compound_transition_count\":0,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
ltc-v2:3da84a5a13980da3201190a52600ed8b1c123c1c5bde01598bf790476bfd6d67 | deepseek | frozen-local-source | 1ee889f608fb12ba3596757ee91a60acd663ea81 | Full/Proof_000654.lean | v4.7.0-rc2 | 59fdb6b04d7d16825a54483d550d9572ff473abf | LeanDojo-b5c1966+schema-v2 | thm_661 | "theorem thm_661 (students_band students_chorus students_both : ℕ)\n (h₀ : students_band = 70)\(...TRUNCATED) | "import Mathlib\nimport Aesop\n\nset_option maxHeartbeats 0\n\nopen BigOperators Real Nat Topology R(...TRUNCATED) | [
"Mathlib",
"Aesop"
] | deepseek:thm_661 | 1 | "students_band students_chorus students_both : ℕ\nh₀ : students_band = 70\nh₁ : students_choru(...TRUNCATED) | "{\"goals\":[{\"hypotheses\":[{\"local_names\":[\"students_band\",\"students_chorus\",\"students_bot(...TRUNCATED) | "{\"goalCount\":1,\"goals\":[{\"depth\":0,\"index\":25,\"kind\":\"syntheticOpaque\",\"localContext\"(...TRUNCATED) | omega | "{\"atomicSource\":\"omega\",\"atomicTransitions\":[{\"sourceEnd\":{\"column\":8,\"line\":14},\"sour(...TRUNCATED) | no goals | {"goals":[],"raw":"no goals"} | "{\"goalCount\":0,\"goals\":[],\"mctxDepth\":0,\"mvarCounter\":73,\"referencedMetavariables\":[],\"u(...TRUNCATED) | true | [] | {"column":3,"line":14} | {"column":8,"line":14} | 9287984c7628b99f0f72c7f85b836ed264d43ec006e9db7a03d2d1dee023a607 | 331ae9cd0ff20f9567e7e0acdd5eba3adcb34ea9654f8cebb1b5eeb4d329a201 | 135d5675512a58c73968d9f4cfcc9a4ae6131a3bdffef451b2f1916d25af0f5b | "{\"atomic_transition_count\":2,\"compound_transition_count\":0,\"declaration_kind\":\"theorem\",\"m(...TRUNCATED) | train |
End of preview.