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lean-repo-4380bbd641b8fe774c7c78ce
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train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Joachim Breitner -/ module prelude public import Init.Prelude import Init.Tactics public section set_option linter.unusedVariables false in /-- The expression `binderNameHint v bind...
lean-repo-ff397d60b9a8ecde3cbfb647
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train
/- Copyright (c) 2024 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public meta import Init.Grind.Tactics public import Init.Grind.Tactics public import Init.SimpLemmas public section /-! # by_cases...
lean-repo-3c796fc3ee11706ca6f6bf67
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train
/- Copyright (c) 2026 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Wojciech Różowski -/ module prelude public meta import Init.Data.ToString.Name -- shake: keep (transitive public meta dep, fix) public import Init.Tactics import Init.Meta.Defs publi...
lean-repo-ea92c3bb2379f6c619f11310
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.PropLemmas @[expose] public section universe u v /-! # Classical reasoning support -/ namespace Class...
lean-repo-dfe8d92e22eb4cbb3dc16356
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.PropLemmas theorem epsilon_spec_aux {α : Sort u} (h : Nonempty α) (p : α → Prop) : (∃ y, p y) → p (@epsi...
lean-repo-d8eb3b6305b41b040bf25d20
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.PropLemmas @[simp] theorem imp_iff_left_iff : (b ↔ a → b) ↔ a ∨ b := Decidable.imp_iff_left_iff @[simp]...
lean-repo-ad66bf67cc74884ff3f2d3f0
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Prelude public meta import Init.Prelude public section set_option linter.missingDocs true -- keep it doc...
lean-repo-3cd36b463b8a6e9a9e216000
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Prelude public meta import Init.Prelude /-! # Coercion Lean uses a somewhat elaborate system of typecla...
lean-repo-328d6744246edc50b8d24764
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Prelude public meta import Init.Prelude /-- `Coe α β` is the typeclass for coercions from `α` to `β`. It...
lean-repo-eeff98b121dba6f4d22d889f
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Prelude public meta import Init.Prelude /-- Auxiliary class implementing `CoeHead* Coe* CoeTail?`. Users...
lean-repo-46b88d278d1d2a0cc9397f8e
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Prelude public meta import Init.Prelude /-! # Basic instances -/ instance boolToProp : Coe Bool Prop wh...
lean-repo-81f48c7c47f6b0eb209c9766
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train
/- Copyright (c) 2016 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura -/ module prelude public import Init.Control.Basic public import Init.Control.State public import Init.Control.StateRef public import Init.Control.Id public i...
lean-repo-1f86b3f8535d108d4822bd9b
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura, Sebastian Ullrich -/ module prelude public import Init.Core public import Init.BinderNameHint @[expose] public section universe u v w /-- A `ForIn'` instan...
lean-repo-c1c6a2cac4c8bf7fc320962b
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura, Sebastian Ullrich -/ module prelude public import Init.Core public import Init.BinderNameHint /-- An `Alternative` functor is an `Applicative` functor that c...
lean-repo-006fa8bcfd131689b6b0d1cb
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura, Sebastian Ullrich -/ module prelude public import Init.Core public import Init.BinderNameHint /-- Runs a monadic action and returns the negation of its resul...
lean-repo-3962e4401b753d30b62a815e
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura, Sebastian Ullrich -/ module prelude public import Init.Core public import Init.BinderNameHint /-- A way to lift a computation from one monad to another while...
lean-repo-b00eac0991584c0cdd324aa1
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train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Author: Leonardo de Moura, Sebastian Ullrich -/ module prelude public import Init.Core public import Init.BinderNameHint /-- Lifts an operation from an inner monad to an outer monad, p...
lean-repo-0c9585e36353db9d215c8775
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train
/- Copyright (c) 2025 Lean FRO LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Graf -/ module prelude public import Init.Control.Except public import Init.Control.Option public section /-! This module provides specialized wrappers around `ExceptT` to s...
lean-repo-7e4ba5a8d15d497fa6e69100
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train
/- Copyright (c) 2019 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura -/ module prelude public import Init.Data.ToString.Basic public import Init.Control.State public section universe u v namespace EStateM variable {ε σ α : T...
lean-repo-f64ef3d0ba005db779a9e51c
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train
/- Copyright (c) 2017 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jared Roesch, Sebastian Ullrich The Except monad transformer. -/ module prelude public import Init.Control.Basic public import Init.Control.Id @[expose] public section names...
lean-repo-da74d5030842d2b09a5c814f
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train
/- Copyright (c) 2017 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jared Roesch, Sebastian Ullrich The Except monad transformer. -/ module prelude public import Init.Control.Basic public import Init.Control.Id /-- Use a monadic action that m...
lean-repo-89863ac5d47e2bd6d22bfe83
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train
/- Copyright (c) 2017 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jared Roesch, Sebastian Ullrich The Except monad transformer. -/ module prelude public import Init.Control.Basic public import Init.Control.Id @[always_inline] instance (m : ...
lean-repo-0c4fade04de94accd12f14a6
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train
/- Copyright (c) 2017 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Jared Roesch, Sebastian Ullrich The Except monad transformer. -/ module prelude public import Init.Control.Basic public import Init.Control.Id instance [Monad m] [MonadAttach...
lean-repo-777d8be68b8db5531b37bd01
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura -/ module prelude public import Init.Control.Lawful.Basic import Init.SimpLemmas public section /-! The Exception monad transformer using CPS style. -/ /--...
lean-repo-55efa4422a3818c8e7ae1c30
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura -/ module prelude public import Init.Control.Lawful.Basic import Init.SimpLemmas @[simp] theorem runK_bind_lift [Monad m] (x : m α) (f : α → ExceptCpsT ε m β...
lean-repo-5b400ece26b2924bb1312e9a
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train
/- Copyright (c) 2017 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich The identity Monad. -/ module prelude public import Init.Control.MonadAttach public section universe u /-- The identity function on types, used primarily ...
lean-repo-70acccda2906b31063d78f8d
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Lawful.Basic public import Init.Control.Lawful.Instances public import Init.Co...
lean-repo-22f542ddeacb7353a9c7edb6
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Id public import Init.Grind.Tactics import Init.Ext public section open Func...
lean-repo-9ef5fed413d159094d63f347
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Id public import Init.Grind.Tactics import Init.Ext @[simp] theorem pure_id_s...
lean-repo-17cbecc8ed72be99304b15ff
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Id public import Init.Grind.Tactics import Init.Ext theorem seqRight_eq_bind ...
lean-repo-965f4dff44d3e008091cacb6
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Id public import Init.Grind.Tactics import Init.Ext @[simp, grind =] theorem ...
lean-repo-7ab13bfa62f54d72e5f29879
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Lawful.Basic import all Init.Control.Except public import Init.Control.Option ...
lean-repo-9a9316321b09615a92b22582
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train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Lawful.Basic import all Init.Control.Except public import Init.Control.Option ...
lean-repo-d306e00ab8fe91f30e4a1dd2
{ "approx_tokens": 980, "chunk_count": 7, "chunk_index": 2, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": true, "content_hash": "826aa84344852cea1e9617b9e88ecb90f469ea799800a41fda81e2768d1005a8", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/In...
train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Lawful.Basic import all Init.Control.Except public import Init.Control.Option ...
lean-repo-4d801b887cf8331ccd31c8b3
{ "approx_tokens": 1016, "chunk_count": 7, "chunk_index": 3, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "0449601a288fad342147b2799c3b9d747f9a5b68bb7dc0abbd4556cc86aaa75c", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/...
train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Lawful.Basic import all Init.Control.Except public import Init.Control.Option ...
lean-repo-b397572fce30516d578e85da
{ "approx_tokens": 1016, "chunk_count": 7, "chunk_index": 4, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "04247fbeed274ff72aff1140e2a65fc294ce83681b827c8ca00c8ff995d86c0c", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/...
train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Lawful.Basic import all Init.Control.Except public import Init.Control.Option ...
lean-repo-b486259535e481c2a13b537a
{ "approx_tokens": 1020, "chunk_count": 7, "chunk_index": 5, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": true, "content_hash": "478bb9f472d3c3592e54c2eb08bf278def0b79dd4121a265db5731a47c826b90", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/I...
train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Lawful.Basic import all Init.Control.Except public import Init.Control.Option ...
lean-repo-450318ffc4e93c1f4247b172
{ "approx_tokens": 772, "chunk_count": 7, "chunk_index": 6, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": true, "content_hash": "9ec97be7e7ad07bccbb8f4945886b900b0a7bd87507d28a9b501147711e822cc", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/In...
train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich, Leonardo de Moura, Mario Carneiro -/ module prelude public import Init.Control.Lawful.Basic import all Init.Control.Except public import Init.Control.Option ...
lean-repo-f03983fb4877a62f178e26fa
{ "approx_tokens": 486, "chunk_count": 1, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": true, "content_hash": "01707d8fa72ec97a38c4c16eee7dffa62fc1c008f3d34a06c0ebf003b2d817a7", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/Le...
train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Kim Morrison -/ module prelude public import Init.Control.Lawful.Basic public import Init.Classical public import Init.Ext import Init.ByCases public section -- Mapping by a function...
lean-repo-5120573128172d199d8a6843
{ "approx_tokens": 70, "chunk_count": 1, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "9e9979edaa76f7506f474e5b61120020533d715801d522b59760356eef737a1b", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/Mo...
train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Control.Lawful.MonadAttach.Lemmas public import Init.Control.Lawful.MonadAttach.Instances
lean-repo-11737284a8a3908647f2a44e
{ "approx_tokens": 976, "chunk_count": 2, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "16a7d1b94dcbda7cfda590929c14497c4b8513c055cdeb7de581fe05640e3657", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/M...
train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude import Init.Control.Lawful.MonadAttach.Lemmas public import Init.Control.Lawful.Basic public import Init.Control.State public import Init.Control.StateR...
lean-repo-86c1fda3e403761391173d98
{ "approx_tokens": 234, "chunk_count": 2, "chunk_index": 1, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "41be0c6319c4cd37125fb7e95e2f142e8ac12fbca4abaaaa4572dc872ce60573", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/M...
train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude import Init.Control.Lawful.MonadAttach.Lemmas public import Init.Control.Lawful.Basic public import Init.Control.State public import Init.Control.StateR...
lean-repo-bdd76cb2f6c298f3c92ba51a
{ "approx_tokens": 1009, "chunk_count": 1, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": true, "content_hash": "c441ceb4605854293d8635321a254eeb1f7ac07dcad062ef316066f9ca00b88b", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/M...
train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude import all Init.Control.MonadAttach public import Init.Classical public import Init.Control.Lawful.Basic public import Init.Control.Lawful.MonadLift.Bas...
lean-repo-f2cb01e5fa08ec6d9597cfc8
{ "approx_tokens": 81, "chunk_count": 1, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "3dd11ccd56fd6b76e849f99da855489c869cc95ab3612de8a9ed172d8409064e", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/Mo...
train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Control.Lawful.MonadLift.Basic public import Init.Control.Lawful.MonadLift.Lemmas public import Init.Control.Lawful.MonadLift.Instanc...
lean-repo-fb7eb3df59dffccc11b309e8
{ "approx_tokens": 464, "chunk_count": 1, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "09248f8e7833772b96420bdc293f4d4bf200c521ece974ec97927d0b14820952", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/M...
train
/- Copyright (c) 2025 Quang Dao. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Quang Dao -/ module prelude public import Init.Notation public section /-! # LawfulMonadLift and LawfulMonadLiftT This module provides classes asserting that `MonadLift` and `MonadLiftT...
lean-repo-93a0185ddd7e73098724d8fa
{ "approx_tokens": 1015, "chunk_count": 2, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": true, "content_hash": "9c7132d637a26c33f2f471125816771a44b2d1f142b156eb5851c8ae177650a4", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/M...
train
/- Copyright (c) 2025 Quang Dao. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Quang Dao, Paul Reichert -/ module prelude import all Init.Control.Option import all Init.Control.Except public import Init.Control.ExceptCps import all Init.Control.ExceptCps import all I...
lean-repo-2c4129776b43474f837335ba
{ "approx_tokens": 208, "chunk_count": 2, "chunk_index": 1, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "757129abaa825e0882ac009185f9ead79c1f9020acee51556b17f74a62d496ea", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/M...
train
/- Copyright (c) 2025 Quang Dao. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Quang Dao, Paul Reichert -/ module prelude import all Init.Control.Option import all Init.Control.Except public import Init.Control.ExceptCps import all Init.Control.ExceptCps import all I...
lean-repo-b759573d3fcf54846de0ca2f
{ "approx_tokens": 693, "chunk_count": 1, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": true, "content_hash": "eb21d86f05d4c451f422690386ab03c7b781d6cdd0c4377f80d86316c6e99080", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Lawful/Mo...
train
/- Copyright (c) 2025 Quang Dao. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Quang Dao -/ module prelude public import Init.Control.Lawful.Basic public import Init.Control.Lawful.MonadLift.Basic import Init.Ext public section universe u v w theorem instMonadLift...
lean-repo-f0aa1f49c25c63f72419c03f
{ "approx_tokens": 810, "chunk_count": 2, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "3ad75501349923ea673a88bbcb6876a62edb928c65391391c900ce65b6fd1ee1", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/MonadAtt...
train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Core set_option linter.all true set_option doc.verso true /-! # {name (scope := "Init.Control.MonadAttach")}`MonadAttach` This mo...
lean-repo-3f6324faac0cd3774ca83eb3
{ "approx_tokens": 646, "chunk_count": 2, "chunk_index": 1, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "aff485f0c7f7ee2866dfba666d7a238383196ee956bff4b8cfd56c893abd70fc", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/MonadAtt...
train
/- Copyright (c) 2025 Lean FRO, LLC. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Paul Reichert -/ module prelude public import Init.Core set_option doc.verso true /-- For every {given}`x : m α`, this type class provides a predicate {lean}`MonadAttach.CanReturn x`...
lean-repo-9e5dbf4f2adb752b8b732f84
{ "approx_tokens": 939, "chunk_count": 1, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "82a99776beb4e5be6f16a4938fbf52a1f448c00f117089a787428bb3c08cea2d", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Option.l...
train
/- Copyright (c) 2017 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Sebastian Ullrich -/ module prelude public import Init.Data.Option.Basic public import Init.Control.MonadAttach public section set_option linter.missingDoc...
lean-repo-25228664007e2954f5332c2c
{ "approx_tokens": 408, "chunk_count": 1, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "c0d127ecdd2e68e96f6f1a116d325350e5c9239d90f31d7c51a1dd569603504c", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/Reader.l...
train
/- Copyright (c) 2017 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Sebastian Ullrich The Reader monad transformer for passing immutable State. -/ module prelude public import Init.Control.Except public section set_option linter.missingDocs ...
lean-repo-884180db73e253e4e8407a33
{ "approx_tokens": 982, "chunk_count": 2, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "bdb0a5dd51d054923464ab7f42cbe7e0b3aabdaa67dde813f20ebe4484bb03c4", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/State.le...
train
/- Copyright (c) 2016 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Sebastian Ullrich The State monad transformer. -/ module prelude public import Init.Control.Except public section set_option linter.missingDocs true univ...
lean-repo-0eea5b7d346d1068cd35a12d
{ "approx_tokens": 793, "chunk_count": 2, "chunk_index": 1, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "afa11e1d854f409ddcd20e881ac5b79fdb52d3c4f70e06c74e2cf3dc0abdd8bc", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/State.le...
train
/- Copyright (c) 2016 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Sebastian Ullrich The State monad transformer. -/ module prelude public import Init.Control.Except /-- Applies a function to the current state that both co...
lean-repo-7c9b54b7934fd2a0ccb3a97e
{ "approx_tokens": 983, "chunk_count": 2, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "99c5ff1d861f8e51ae730b3edb8542b0ce0604cc9c50bef8a54c8107b6232f86", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/StateCps...
train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura -/ module prelude public import Init.Control.Lawful.Basic public import Init.Ext public section set_option linter.missingDocs true /-! The State monad tran...
lean-repo-a649e19dae5d986089a0c57e
{ "approx_tokens": 293, "chunk_count": 2, "chunk_index": 1, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "b65d4d18ee7bc4f088618332c5036e7581fd11b4438a981119fdef778bece123", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/StateCps...
train
/- Copyright (c) 2021 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura -/ module prelude public import Init.Control.Lawful.Basic public import Init.Ext @[simp] theorem runK_bind_lift [Monad m] (x : m α) (f : α → StateCpsT σ m β)...
lean-repo-f2fdd4d472da79be5d0691eb
{ "approx_tokens": 994, "chunk_count": 2, "chunk_index": 0, "commit": "3447a668783dbce1a8fdb97101dd067687b2b418", "contains_proof": false, "content_hash": "f5b29ab532668d5f0f45dca480c38f45a2a2c894899bc381df909b822d1fc370", "license": "Apache-2.0", "oversized": false, "path": "src/Init/Control/StateRef...
train
/- Copyright (c) 2020 Microsoft Corporation. All rights reserved. Released under Apache 2.0 license as described in the file LICENSE. Authors: Leonardo de Moura, Sebastian Ullrich The State monad transformer using IO references. -/ module prelude public import Init.System.ST public import Init.Control.Reader public ...
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Lean 4 repository midtraining corpus v1

This is a causal language-model corpus curated from pinned Lean 4 repositories. It is intended for repository midtraining after introductory Lean language SFT and before verified proof SFT or verifier-guided RL. The rows contain source text, not instruction/answer conversations.

Dataset

Split Chunks
Train 18,367
Validation 1,071
Total 19,438

The source-preserving builder estimates 16.71M tokens using four UTF-8 bytes per token. The Qwen2.5-Coder tokenizer counts 21.55M tokens. At the 1,536-token training limit, 18,876 chunks and 20.48M tokens are usable. The 562 oversized single-declaration chunks are skipped rather than truncated.

Validation is assigned at source-file level within each repository. No source file or normalized content hash appears in both splits.

Sources

Repository Included paths Commit Chunks
Lean 4 src/Init, src/Std 3447a668783dbce1a8fdb97101dd067687b2b418 5,321
Mathlib Algebra, Analysis, Data, GroupTheory, Logic, NumberTheory, Tactic 7c673ccc1c8a2d957ca48beff4dd4c0948177ca9 13,425
Batteries Batteries 36cc05ca2d0e469bfbeea9437f460e19238e885e 451
Aesop Aesop c1c4362a130f12e632d252180a6c2a31d8fd4726 241

All sources are Apache-2.0 and pinned to the Lean 4.34.0-rc1 toolchain. Exact source URLs, include/exclude globs, verified Git heads, and licenses are recorded in manifest.lock.json.

Curation

The builder:

  • excludes Git, Lake, build, vendor, generated, and testing artifacts
  • preserves complete top-level commands and repeats module import headers
  • rejects chunks containing active sorry, admit, or proof_wanted
  • removes normalized exact duplicates
  • checks theorem-statement fingerprints against the environment's toy, miniF2F, ProofNet, and Putnam evaluation data

The final pass rejected 26 forbidden chunks and 34 duplicates. It found no exact theorem-statement match against those evaluation files. This is an exact normalized check, not a semantic contamination guarantee; renamed or equivalent statements may not be detected.

Row format

Each row has id, text, split, and metadata. Metadata includes repository URL, commit, license, toolchain, source path, chunk index, normalized content hash, approximate token count, and whether the chunk contains a proof declaration.

Limitations

Chunks preserve source commands but are not guaranteed to compile independently. This dataset emphasizes core/standard-library code, common Mathlib data and logic APIs, and tactic infrastructure. It does not represent all Mathlib domains. The validation split measures repository language-model loss, not theorem-proving accuracy.

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Models trained or fine-tuned on Pradheep1647/lean-repository-midtraining-v1