blob_id stringlengths 40 40 | directory_id stringlengths 40 40 | path stringlengths 7 139 | content_id stringlengths 40 40 | detected_licenses listlengths 0 16 | license_type stringclasses 2
values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c621fa50b5dada6e51e64286d7b3e3a01815721a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Arg.lean | a0ebb526c5460fc42601016b5ae0f6c1d0404882 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 2,124 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Term
namespace Lean.Elab.Term
/--
Auxiliary inductive datatype for combining unelaborated syntax
and already elaborated expressions. ... |
f77b2292edf8642ff7a79c690865794d9156522c | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /test/rewrite.lean | df6c18a1882cdcf590b9d14e408ac1d38fa8018d | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 1,407 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.rewrite
import data.nat.basic
open tactic
example : ∀ x y z a b c : ℕ, true :=
begin
intros,
have : x + (y + z) = 3 + y, admit,
have : a + (b + x) + y + (... |
6e52eea93f11718422e4979f241fbf346a160136 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Build/Actions.lean | 4be6e4e1792ea25776555352ff1b594d891a24fa | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 3,966 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich, Mac Malone
-/
import Lake.Util.Proc
import Lake.Util.NativeLib
import Lake.Build.Context
namespace Lake
open System
def compileLeanModule (na... |
2681c7aab0c6a31d6dbfb316e3ba42632c050bb3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_geometry/presheafed_space/gluing.lean | 144ed3c721d9e9de6115ab929fbf03e1bef21681 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 26,250 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import topology.gluing
import algebraic_geometry.open_immersion
import algebraic_geometry.locally_ringed_space.has_colimits
/-!
# Gluing Structured spaces
Given a family ... |
fb9e79a1b6d2cce3940e98a92c408d5cd31ed56b | 1f6fe2f89976b14a4567ab298c35792b21f2e50b | /homotopy/pushout.hlean | fde01fb51fd713c106beec045fef6850bce9711c | [
"Apache-2.0"
] | permissive | jonas-frey/Spectral | e5c1c2f7bcac26aa55f7b1e041a81272a146198d | 72d521091525a4bc9a31cac859840efe9461cf66 | refs/heads/master | 1,610,235,743,345 | 1,505,417,795,000 | 1,505,417,795,000 | 102,653,342 | 0 | 0 | null | 1,504,728,483,000 | 1,504,728,483,000 | null | UTF-8 | Lean | false | false | 34,660 | hlean |
import ..algebra.exactness homotopy.cofiber homotopy.wedge
open eq function is_trunc sigma prod lift is_equiv equiv pointed sum unit bool cofiber
namespace pushout
section
variables {TL BL TR : Type*} {f : TL →* BL} {g : TL →* TR}
{TL' BL' TR' : Type*} {f' : TL' →* BL'} {g' : TL' →* TR'}
... |
f44ce250f2d7957bb22c456b62a723e40ad74c3d | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/rewrite_search/metric/trivial.lean | 170289297b9a4b9fe2aff2e39b3a426e484a63f7 | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,031 | lean | import tidy.rewrite_search.core
-- The trivial metric: I just report that every vertex is distance zero from every other.
open tidy.rewrite_search
namespace tidy.rewrite_search.metric.trivial
variables {α δ : Type} (g : search_state α unit unit δ)
meta def trivial_init : tactic (init_result unit) := init_result.pu... |
42815de860280fc64ad15d85e6845863bd47bd1e | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/hlist.lean | e200129674dbd2a555ef5921a161970f6cbeeb27 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,928 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Heterogeneous lists
-/
import data.list logic.cast
open list
inductive hlist {A : Type} (B : A → Type) : list A → Type :=
| nil {} : hlist B []
| cons : ∀ {... |
496ba9f0028efd837a62afa5a8b2e2974cf13895 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/linear_algebra/basis.lean | b892c31ded9031a1f5aeba906a1b7b31eb1120bc | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 53,572 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Alexander Bentkamp
-/
import linear_algebra.finsupp
import order.zorn
import data.fintype.card
/-!
# Linear independence and bases
This file defines ... |
ca04bf179340aa9e034ad83b5c8691f97455f493 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/nested_match_bug.lean | 7f37810f5bb853f8bfbf7a6b64127e521d9ae00d | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 376 | lean |
inductive Term : Type
| app : List Term -> Term
namespace Term
instance : Inhabited Term := ⟨app []⟩
partial def transform (f : Term -> Option Term) : Term -> Term
| t =>
match f t with
| some u => transform f u
| none =>
match t with
| app args =>
let newArgs := args.map (fun arg => transfor... |
881e1c28107d46c8ca04b95b39c06a85e58d3d68 | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/data/string/basic.lean | 42929583f08f1ea7102e8ee22e39a98ace30a903 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 8,455 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.data.list.basic
import init.data.char.basic
/- In the VM, strings are implemented using a dynamic array and UTF-8 encoding.
TODO: we... |
e6de7428c6a3b1eaf397c2186eec649c3df98a3a | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Lean/Meta/Tactic/Apply.lean | 75b96d0dd950c1a60cd0ff7db852e02892f94e80 | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,288 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.FindMVar
import Lean.Meta.ExprDefEq
import Lean.Meta.SynthInstance
import Lean.Meta.CollectMVars
import Lean.Meta.Tactic.Util
namespace Le... |
712092b8c3e749ec96d5161829d9a541aa56f7f5 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/calculus/fderiv_analytic.lean | d05088dc5487c336b2dd391433e1ed3af1faad77 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 2,861 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.deriv
import analysis.analytic.basic
/-!
# Frechet derivatives of analytic functions.
A function expressible as a power series at a point... |
870afbb6517863fedb9b4aba3fb3630e1374bafb | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/algebra/ordered.lean | 44f4dbdc8118063064f1fa3c3c4661a6acdefcca | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 44,537 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Theory of ordered topology.
-/
import order.liminf_limsup
import data.set.intervals
import topology.algebra.group
import topology.constructions
open cl... |
00d71a80ca2e61acd5e24b8e586b03bed1eaa627 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/Nat/Log2.lean | 0fc581c1015c2269684badee6dc218579067bd50 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,038 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import Init.NotationExtra
import Init.Data.Nat.Linear
namespace Nat
theorem log2_terminates : ∀ n, n ≥ 2 → n / 2 < n
| 2, _ => by decide
| 3, _ =>... |
01ae57c8212b4579f7f2e526704b3fe7c5f5d020 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/normed_space/add_torsor.lean | 31fa8230926f960302002c1e59f2f7a9155eddf9 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,568 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Yury Kudryashov
-/
import analysis.normed_space.basic
import linear_algebra.affine_space.midpoint
import topology.instances.real_vector_space
/-!
# Torsors of additive nor... |
17406e039f2de724e9ba3b937e22eb509ac539c0 | 5382d69a781e8d7e4f53e2358896eb7649c9b298 | /inverse.lean | 920ffbba86c3f5a47a65566fa877397330f95db8 | [] | no_license | evhub/lean-math-examples | c30249747a21fba3bc8793eba4928db47cf28768 | dec44bf581a1e9d5bf0b5261803a43fe8fd350e1 | refs/heads/master | 1,624,170,837,738 | 1,623,889,725,000 | 1,623,889,725,000 | 148,759,369 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,730 | lean | import .util
namespace inverse
open function
open classical (renaming some → unexists) (renaming some_spec → unexists_prop)
open classical (choice prop_decidable)
local attribute [instance] prop_decidable
open util
-- one-sided inverses:
class invertible.one_sided {T T': Sort _} (f: T → T... |
152e49fec7ec1e7d266ae4412f800fdc001deb7d | c777c32c8e484e195053731103c5e52af26a25d1 | /src/combinatorics/derangements/exponential.lean | 6ab726aa8a1ce289406416205b3ac45ccb5a2ebf | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 1,883 | lean | /-
Copyright (c) 2021 Henry Swanson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Henry Swanson, Patrick Massot
-/
import analysis.special_functions.exponential
import combinatorics.derangements.finite
import order.filter.basic
/-!
# Derangement exponential series
... |
c07d7a4f4c3ce6e64adc815055ec58454a67a6ff | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/discrete_valuation_ring.lean | 7e44203f3d96f34ac166ca6707698d613305c2ac | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 16,277 | lean | /-
Copyright (c) 2020 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import ring_theory.principal_ideal_domain
import order.conditionally_complete_lattice
import ring_theory.multiplicity
import ring_theory.valuation.basic
/-!
# Discret... |
d4c829f38e43de3c0dd97a6b2b41aac773fc8b24 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0215.lean | ae8eab92d767b807a420d717e427cbcc60de21f7 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 100 | lean | example (x y : ℕ) (h : x = y) : y = x :=
begin
revert x,
intros,
symmetry,
assumption
end
|
77222ea7bcd3bc3d897fc95ffdd9ee1b0d9f8d84 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/nat/basic.lean | 2153340a48399d6d9e54e85448ba3a11a641dfd9 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 56,025 | lean | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import algebra.order.ring
/-!
# Basic operations on the natural numbers
This fi... |
6feeb12d971a1f402a59843b667eff8a1b6bae2a | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /src/Lean/Meta/RecursorInfo.lean | f4db964d26359a149bd9f72a8b7005e8281101e6 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,519 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.AuxRecursor
import Lean.Util.FindExpr
import Lean.Meta.ExprDefEq
namespace Lean.Meta
inductive RecursorUnivLevelPos where
| motive ... |
d5369f9bdf3b81005ec67bb1ecb2db27db398be6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/control/traversable/derive.lean | 3bd145a69f05fcf9dda12edcf818c89a099e328c | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 17,051 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Automation to construct `traversable` instances
-/
import tactic.basic
import control.traversable.lemmas
namespace tactic.interactive
open tactic list monad functor
meta d... |
0d9c265a71f1840b487a437b88e8bb7e9c04cfbb | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/complex/removable_singularity.lean | 2e52005a61a26c40378a8f7d405942161fc74173 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 9,563 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.fderiv_analytic
import analysis.asymptotics.specific_asymptotics
import analysis.complex.cauchy_integral
/-!
# Removable singularity theor... |
ae6d205b92193a166f109ea33cb5dc59748c99f3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/real/division.lean | d0a54beb12779ac14941307d025b92d8123444b6 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 23,997 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
The real numbers, constructed as equivalence classes of Cauchy sequences of rationals.
This construction follows Bishop and Bridges (1985).
At this point, we no longer... |
d2777849a9b95f954133524daddc1e701ad1f7ca | 02fbe05a45fda5abde7583464416db4366eedfbf | /tests/lean/run/psum_wf_rec.lean | 9b849e4553a7a072cc79ff50a39dd9d99a29e540 | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 826 | lean | def psum.alt.sizeof {α β} [has_sizeof α] [has_sizeof β] : psum α β → nat
| (psum.inl a) := 2*sizeof a + 2
| (psum.inr b) := 2*sizeof b + 1
def sum_has_sizeof_2 {α β} [has_sizeof α] [has_sizeof β] : has_sizeof (psum α β) :=
⟨psum.alt.sizeof⟩
local attribute [instance] sum_has_sizeof_2
local attribute [simp] nat.add_co... |
a0b4d69c67e303556ad58973d30546b145a90984 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/group_theory/group_action/embedding.lean | 25553f746f4f858d97b1973354b72c0f00a910d3 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 1,898 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import group_theory.group_action.group
import group_theory.group_action.pi
/-!
# Group actions on embeddings
This file provides a `mul_action G (α ↪ β)` instance that agr... |
ff070e06a66e9d8b16380b80bc0a9d5efb4637e1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/num/prime_auto.lean | 92aae515cff47070488daf91d75c89d26386d358 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,882 | lean | /-
Copyright (c) 2020 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.num.lemmas
import Mathlib.data.nat.prime
import Mathlib.tactic.ring
import Mathlib.Post... |
4a4057b8bd587a9a4532b56334206650eed8bb3f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/field/basic.lean | 78eb496fa6ecaf6088a5894f1a7215d50512a70b | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 13,309 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-/
import algebra.field.defs
import algebra.group_with_zero.units.lemmas
import algebra.hom.ring
import algebra.ring.inj_s... |
0fc2832483ae0143b08e6b61213a980e7b07327f | 35b83be3126daae10419b573c55e1fed009d3ae8 | /_target/deps/mathlib/analysis/topology/topological_space.lean | 0749d003f135816ca0f68849095d0b61ddcff446 | [] | no_license | AHassan1024/Lean_Playground | ccb25b72029d199c0d23d002db2d32a9f2689ebc | a00b004c3a2eb9e3e863c361aa2b115260472414 | refs/heads/master | 1,586,221,905,125 | 1,544,951,310,000 | 1,544,951,310,000 | 157,934,290 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 65,568 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Theory of topological spaces.
Parts of the formalization is based on the books:
N. Bourbaki: General Topology
I. M. James: Topologies and Uniformit... |
52a99eb0a0336282147a3d55d1b7e61fa6f6f1dc | 54f4ad05b219d444b709f56c2f619dd87d14ec29 | /my_project/src/love01_definitions_and_statements_exercise_sheet.lean | e8d9d216f0102ea1da981bb12d316047594e93f1 | [] | no_license | yizhou7/learning-lean | 8efcf838c7276e235a81bd291f467fa43ce56e0a | 91fb366c624df6e56e19555b2e482ce767cd8224 | refs/heads/master | 1,675,649,087,737 | 1,609,022,281,000 | 1,609,022,281,000 | 272,072,779 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,353 | lean | import .love01_definitions_and_statements_demo
/-! # LoVe Exercise 1: Definitions and Statements
Replace the placeholders (e.g., `:= sorry`) with your solutions. -/
set_option pp.beta true
namespace LoVe
/-! ## Question 1: Truncating Subtraction
1.1. Define the function `sub` that implements truncating subtrac... |
9674a54ae9fb416a0894521f5e768c02d0cf48c6 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/special_functions/complex/arg.lean | c08f7fb3cc240fc96ea92d8e8fa79f3d9366be5f | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 25,066 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import algebra.order.to_interval_mod
import analysis.special_functions.trigonometric.angle
import analy... |
beb7d92143fdb882f56a21a0a6fdc81c8b92d297 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/algebra/group_power.lean | 389f17f72f36afa6f1e8739cf88ad6126a512daf | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 27,178 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
The power operation on monoids and groups. We separate this from group, because it depends on
nat, which in turn depends on other parts of algebra.
We h... |
1fd03e6b44768685cdb367eec4278cdd144f77c6 | 96e44fc78cabfc9d646dc37d0e756189b6b79181 | /library/init/algebra/order.lean | beae81f0ce5c1240a192b318599029aa8d18b687 | [
"Apache-2.0"
] | permissive | TwoFX/lean | 23c73c10a340f5a381f6abf27a27f53f1fb7e2e3 | 7e3f336714055869690b7309b6bb651fbc67e76e | refs/heads/master | 1,612,504,908,183 | 1,594,641,622,000 | 1,594,641,622,000 | 243,750,847 | 0 | 0 | Apache-2.0 | 1,582,890,661,000 | 1,582,890,661,000 | null | UTF-8 | Lean | false | false | 9,242 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.logic init.classical init.meta.name init.algebra.classes
/- Make sure instances defined in this file have lower priority than the ones
... |
968ca3b0d3be0c109ec687bb52c46a6b45c2299c | 37336e9dcf558f325cf43bdf45bab5d8e455a3b4 | /xenalib/real_experiments.lean | 08465f0bcec78a1d6c20a178b37030c57197f7a1 | [] | no_license | rafaelbailo/xena | bfeab41b3b401c812689a4879d58f2ad046240b5 | fad865c3d1bac6279f9a77e8aa6ba7e0cd572e06 | refs/heads/master | 1,626,002,809,060 | 1,507,793,086,000 | 1,507,793,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,611 | lean | /- Fake real numbers.
There are technical difficulties in accessing real numbers
in the online version of Lean. Anyone who is using Lean online but
wants real numbers can just cut and paste the below code.
This gives us a class "real", which is a fake version of the
real numbers. See if you can spot any differences!
-/... |
87842a36a4a87faa3b6b456b95e3632b1ba3c06a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/hole_issue2.lean | 299e22bc6f3705cdde418f4aba375cf3b2c21094 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 1,838 | lean | constant bag_setoid : ∀ A, setoid (list A)
attribute [instance] bag_setoid
definition bag (A : Type) : Type :=
quotient (bag_setoid A)
constant subcount : ∀ {A}, list A → list A → bool
constant list.count : ∀ {A}, A → list A → nat
constant all_of_subcount_eq_tt : ∀ {A} {l₁ l₂ : list A}, subcount l₁ l₂ = tt → ∀ a, li... |
fe0a26096dd0a9bd5b5e29856cc2f01e517cbb70 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/instances/real_auto.lean | 130b24b8487d63cba0dc76feb32f8c197d497ce3 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,138 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.metric_space.basic
import Mathlib.topology.algebra.uniform_group
i... |
9983ea9f2044e36b19597cc98365b94baaef6eb3 | 618003631150032a5676f229d13a079ac875ff77 | /test/lint_simp_comm.lean | 34bc4e88b8b516b299b5cb86178ae541899900a1 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 1,075 | lean | import tactic.lint
import algebra.group.basic
/-! ## Commutativity lemmas should be rejected -/
attribute [simp] add_comm add_left_comm
open tactic
#eval do
decl ← get_decl ``add_comm,
res ← linter.simp_comm.test decl,
-- linter complains
guard res.is_some
open tactic
#eval do
decl ← get_decl ``add_left_comm,
res ... |
930bcbf02b2aca36e2c9de44bcc9709672c0017a | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Elab/Syntax.lean | 86c50d586b368b629e8d8f6f9b3c4409ae3d062c | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 18,307 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Command
import Lean.Parser.Syntax
import Lean.Elab.Util
namespace Lean.Elab.Term
/--
Expand `optional «precedence»` where
«precedence» :=... |
95ed37fc041abe5480e5028f805b30e71e627a1c | 453dcd7c0d1ef170b0843a81d7d8caedc9741dce | /tactic/rewrite.lean | 1059f2ca59794a1eac6c90b3b4310e854a8c255c | [
"Apache-2.0"
] | permissive | amswerdlow/mathlib | 9af77a1f08486d8fa059448ae2d97795bd12ec0c | 27f96e30b9c9bf518341705c99d641c38638dfd0 | refs/heads/master | 1,585,200,953,598 | 1,534,275,532,000 | 1,534,275,532,000 | 144,564,700 | 0 | 0 | null | 1,534,156,197,000 | 1,534,156,197,000 | null | UTF-8 | Lean | false | false | 7,414 | lean | import data.dlist
import meta.expr
namespace tactic
open expr list
meta def match_fn (fn : expr) : expr → tactic (expr × expr)
| (app (app fn' e₀) e₁) :=
(e₀,e₁) <$ unify fn fn'
| _ := failed
meta def fill_args : expr → tactic (expr × list expr)
| (pi n bi d b) :=
do v ← mk_meta_var d,
(r,vs) ← fill_args (b.insta... |
e91d70656d38ab4e6a5723914c7119edd4caac0c | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Meta/InferType.lean | 83c401fafe999fdbed3510e31c7bb49cf0251433 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 16,816 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data.LBool
import Lean.Meta.Basic
namespace Lean
/--
Auxiliary function for instantiating the loose bound variables in `e` with `args[start:st... |
256ab2cdb8edc91ff408958cca6aba64a19fd36d | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Elab/Tactic/Induction.lean | 622f95d72c0475b93a7ede1421dce2d80a36a9a5 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 27,662 | lean | /-
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
-/
import Lean.Util.CollectFVars
import Lean.AuxRecursor
import Lean.Parser.Term
import Lean.Meta.RecursorInfo
import Lean.Meta.CollectMVars... |
4c33f5edbde474d5e30a9ba45bb1c2a08b8832ed | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/struct_instance_in_eqn.lean | 7d561bda55b918bea1d320aaa888cf4406c4d316 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 155 | lean | structure S :=
(x : Nat) (y : Bool) (z : Nat) (w : Nat)
set_option trace.compiler.stage1 true
def g : S → S
| s@{ x := x, ..} => { s with x := x + 1 }
|
e1b410fb993bbe5e0f1a0f235d71f60c78a6167c | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/finset/basic.lean | b084904ab0bb84fe8e11969b3d673cb7605bbdb9 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 122,013 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
-/
import data.int.basic
import data.multiset.finset_ops
import tactic.apply
import tactic.monotonicity
import tacti... |
8d5bc7ad57d9ef40c9e9988ddc694dc625c8391c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/algebra/order/t5.lean | 14ac6d4ad9c254459bb17755bcc2c59e7cc4f6a1 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,449 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.order.basic
import data.set.intervals.ord_connected_component
/-!
# Linear order is a completely normal Hausdorff topological space
> THIS FILE IS... |
d35ff0564094313588dcbe4aeabf37a4e26cbafe | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/polynomial/rational_root.lean | eb7120cabc7ce29fb4dd93bd9a946cb5a73948c1 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,908 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.polynomial.scale_roots
import Mathlib.ring_theory.localization
import Mathlib.PostPor... |
be0bee8111714db0e94abcfa38401cba4aa41bf5 | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /old/old_demos_4-8/expressions_demo_current.lean | 8c678caf1f09be111c3b38a5afe0de448f728450 | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 2,113 | lean | import ..eval.time_expr_current
/-
Adapted from Dr Sullivan's phys/demo/demo.lean to highlight differences from phys and lang
-/
open lang.time
--Alias std time frame and space
def std_fr : time_frame_expr ℚ := [(time_std_frame ℚ)] --(std_frame ℚ TIME)
def std_sp : time_space_expr std_fr.value := [(time_std_space ℚ... |
efb6dc717a46e09f0caf9cdc1d17875ede9b66a1 | 66a6486e19b71391cc438afee5f081a4257564ec | /homotopy/susp.hlean | 6696f6c1eec3bf9ef10e65aada69cab5aa20af60 | [
"Apache-2.0"
] | permissive | spiceghello/Spectral | c8ccd1e32d4b6a9132ccee20fcba44b477cd0331 | 20023aa3de27c22ab9f9b4a177f5a1efdec2b19f | refs/heads/master | 1,611,263,374,078 | 1,523,349,717,000 | 1,523,349,717,000 | 92,312,239 | 0 | 0 | null | 1,495,642,470,000 | 1,495,642,470,000 | null | UTF-8 | Lean | false | false | 3,075 | hlean | import homotopy.susp types.pointed2 ..move_to_lib
open susp eq pointed function is_equiv lift equiv is_trunc nat
namespace susp
variables {X X' Y Y' Z : Type*}
definition iterate_susp_iterate_susp_rev (n m : ℕ) (A : Type*) :
iterate_susp n (iterate_susp m A) ≃* iterate_susp (m + n) A :=
begin
induction... |
131aa8b5a618c0cbbc65547f381653217bcfc94d | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/real/order.lean | 3a032a9260210a18d9a2254dbd75f53f6ee5ca21 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 38,871 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
The real numbers, constructed as equivalence classes of Cauchy sequences of rationals.
This construction follows Bishop and Bridges (1985).
To do:
o Rename things and... |
b34746037f8782984d7111a716d76dd6493dbb21 | 69bc7d0780be17e452d542a93f9599488f1c0c8e | /exam-2-study-guide.lean | ea665c30dbcc00d2957425db11aff0483bd73acd | [] | no_license | joek13/cs2102-notes | b7352285b1d1184fae25594f89f5926d74e6d7b4 | 25bb18788641b20af9cf3c429afe1da9b2f5eafb | refs/heads/master | 1,673,461,162,867 | 1,575,561,090,000 | 1,575,561,090,000 | 207,573,549 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,444 | lean | /- *** I. FORMAL LANGUAGES *** -/
/-
Using our implementation of the syntax and semantics of propositional logic, know how to implement the syntax and semantics of simple arithmetic expressions, with natural number literal expressions, natural number-valued variable expressions, and natural number unary and binary op... |
5467487a75b1ea39fe3fbf5db708a037f4e31727 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/game/world6/level2.lean | 86540e4848cbc2843c4df73cabf2460c363cc9f9 | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 2,121 | lean | /-
# Proposition world.
## Level 2 : `intro`.
Let's prove an implication. Let $P$ be a true/false statement,
and let's prove that $P\implies P$. If you delete the
`sorry` you will see that our goal is `P → P`. Constructing a term
of type `P → P` (which is what solving this goal *means*) in this
case amounts to provi... |
7fab046ed5b8701098f731c19ca7dba4a4aa71e7 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/group_theory/group_action/group.lean | ce036680ff4ae59b81be58490f191057692feac9 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,968 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import group_theory.group_action.defs
import algebra.group.units
import algebra.group_with_zero
import data.equiv.mul_add
import group_theory.perm.basic
/-!
# Group acti... |
fa76aaf8508d73a36a170a85c6a217aacc0ba456 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/multiset/nat_antidiagonal.lean | 67d4ebf2debfb203062adeb1bbb70ae40f3f107a | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,465 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.multiset.nodup
import Mathlib.data.list.nat_antidiagonal
import Mathlib.PostPort
name... |
6e9b69c149d6d924bebe1a2805429e1e9ab00565 | aa2345b30d710f7e75f13157a35845ee6d48c017 | /algebra/group_power.lean | 5f30344874fc227bd7f605e6e56bdbc99c1eae75 | [
"Apache-2.0"
] | permissive | CohenCyril/mathlib | 5241b20a3fd0ac0133e48e618a5fb7761ca7dcbe | a12d5a192f5923016752f638d19fc1a51610f163 | refs/heads/master | 1,586,031,957,957 | 1,541,432,824,000 | 1,541,432,824,000 | 156,246,337 | 0 | 0 | Apache-2.0 | 1,541,434,514,000 | 1,541,434,513,000 | null | UTF-8 | Lean | false | false | 23,258 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
The power operation on monoids and groups. We separate this from group, because it depends on
nat, which in turn depends on other parts of algebra.
We h... |
a3acc2bc61546c8af58d214dab9225ad9f4c691d | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/category_theory/limits/shapes/kernels.lean | a3711dc997eb99d4caedf71a5368a9ddc548eb4a | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 15,648 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Markus Himmel
-/
import category_theory.limits.shapes.zero
import category_theory.limits.shapes.equalizers
/-!
# Kernels and cokernels
In a category with zero morphis... |
d88fbc37eb739df657527dd05cccd5dc49922109 | 618003631150032a5676f229d13a079ac875ff77 | /archive/100-theorems-list/82_cubing_a_cube.lean | a1b698a3069d1aa70335182486d7012f81e3c539 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 23,047 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
-/
import data.real.basic
import data.set.disjointed
import data.set.intervals
import set_theory.cardinal
/-!
Proof that a cube (in dimension n ≥ 3) cannot be cubed:
... |
78c1bf9abd25e329b36c31d9c0eb11012f693e00 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/data/list/basic.lean | 2ad5b7cf7925a4edb4a13d86a6274899c4f83ed6 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 155,161 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import algebra.group
import deprecated.group
import data.nat.basic
import order.rel_classes
/... |
e1c61db6a46d297e1b4608e242629919d64afb96 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/tactic15.lean | 42f5e2cdaa2b9bd804bfac199d2bfc817c0aef53 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 274 | lean | import logic
open tactic
constant A : Type.{1}
constant f : A → A → A
open eq
theorem tst {a b c : A} (H1 : a = b) (H2 : b = c) : f a (f b b) = f b (f c c)
:= by apply (subst H1);
trace "trying again... ";
state;
apply (subst H2);
apply eq.refl
|
2301718ee3a5890985f3a614d363557dae26db82 | ea4aee6b11f86433e69bb5e50d0259e056d0ae61 | /src/tidy/congr_struct.lean | ebf08627d7baa947ab336d6cb1198c8a3190780b | [] | no_license | timjb/lean-tidy | e18feff0b7f0aad08c614fb4d34aaf527bf21e20 | e767e259bf76c69edfd4ab8af1b76e6f1ed67f48 | refs/heads/master | 1,624,861,693,182 | 1,504,411,006,000 | 1,504,411,006,000 | 103,740,824 | 0 | 0 | null | 1,505,553,968,000 | 1,505,553,968,000 | null | UTF-8 | Lean | false | false | 3,274 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import .applicable
open tactic
namespace tactic
open expr
/-- Given a fully applied structure type `ty` with fields `f1`...`fn`, synthesize the proof
... |
7ca5ada584d01a3be42ab08f2193020d040f34c3 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /03_Propositions_and_Proofs.org.20.lean | 998f577085c76d12d1f6aa0ac73ddc6432a98329 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 140 | lean | /- page 39 -/
import standard
variables p q : Prop
-- BEGIN
example (H : p ∧ q) : q ∧ p :=
and.intro (and.right H) (and.left H)
-- END
|
66b1dd722ececf1d678f93cbeb21bbd253ce4e79 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/int_eval.lean | 971ac6cbab94b5ff7cf78fa6781bf68336ad4992 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 557 | lean | #eval (1073741823:int)
#eval (1073741824:int)
#eval ((1073741824:int) + (1:int) - (3:int))
#eval - (2:int)
#eval - (1000:int)
#eval 10 - (1000:int)
#eval (1073741824:int) * 10
#eval (100000:int) * (-3:int)
#eval -(1073741823:int)
#eval ((1073741824:int) + (1:int) - (1:int))
#eval int.of_nat 1000
#eval int.of_nat 107374... |
be4c04d5cda38bee08f6deb20ab4a8e3e2b0634e | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/match2.lean | 34117a680c0f6dbfc3157fa1935ec3f38f3057f0 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 1,903 | lean | #print "---- Op"
inductive Op : Nat → Nat → Type
| mk : ∀ n, Op n n
structure Node : Type where
id₁ : Nat
id₂ : Nat
o : Op id₁ id₂
def h1 (x : List Node) : Bool :=
match x with
| _ :: Node.mk _ _ (Op.mk 0) :: _ => true
| _ => false
def mkNode (n : Nat) : Node := { id₁... |
589c40bce1bdc91cefd366e56c874661855ea018 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/nary_overload2.lean | cdd13d0dacf3ca72d84e6bc73b0433ce282ca326 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 390 | lean | import data.list data.examples.vector
open nat list vector
check [(1:nat), 2, 3]
check ([1, 2, 3] : vector nat _)
check ([1, 2, 3] : list nat)
check (#list [(1:nat), 2, 3])
check (#vector [(1:nat), 2, 3])
example : (#vector [1, 2, 3]) = [(1:nat), 2, 3] :=
rfl
example : (#vector [1, 2, 3]) = ([1, 2, 3] : vector nat _... |
948f755e74e4cff972edc4e42a54a82dd1386123 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/duplicate.lean | 638c67ce66c5f9d89a9e9a95aca3d8e16427e291 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 4,323 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky, Chris Hughes
-/
import data.list.nodup
/-!
# List duplicates
## Main definitions
* `list.duplicate x l : Prop` is an inductive property that holds when `x` is a du... |
89b1f5e1f48ebb611c171016263e70ee14ab3b69 | b074a51e20fdb737b2d4c635dd292fc54685e010 | /src/data/fintype.lean | 11844a2c5a427b3307908aa407b1a781a4ba8804 | [
"Apache-2.0"
] | permissive | minchaowu/mathlib | 2daf6ffdb5a56eeca403e894af88bcaaf65aec5e | 879da1cf04c2baa9eaa7bd2472100bc0335e5c73 | refs/heads/master | 1,609,628,676,768 | 1,564,310,105,000 | 1,564,310,105,000 | 99,461,307 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,039 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset algebra.big_operators data.array.lemmas logic.unique
import tactic.wlog
universes u v
variables {α : Type*} {β : Type*} {γ : Type*}
... |
ba14d3f26565d1d9e7ba453dc0f8879c3f28d9a9 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/coercion_bug2.lean | 6698eab4dae501e4e1c30acbc080b6a36b57f123 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 261 | lean | import data.nat
open nat
inductive list (T : Type) : Type :=
nil {} : list T,
cons : T → list T → list T
definition length {T : Type} : list T → nat := list.rec 0 (fun x l m, succ m)
theorem length_nil {T : Type} : length (@list.nil T) = 0
:= eq.refl _
|
8c22a9cbb7d4dc3fcbfd0e9636a9268ba50a2f49 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/extra/rec4.lean | eef6d94ebf837d8efef853b2edec02984820573e | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 259 | lean | import data.examples.vector
open nat vector
set_option pp.implicit true
set_option pp.notation false
definition diag {A : Type} : Π {n}, vector (vector A n) n → vector A n,
diag nil := nil,
diag ((a :: va) :: vs) := a :: diag (map tail vs)
|
cd673daef8c50acdefb1f133be71fa432984c08e | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/data/monoid_algebra.lean | 451baaeda9cdbf2efd344ee1b0bb89f202780f42 | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 26,060 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury G. Kudryashov, Scott Morrison
-/
import data.finsupp
import ring_theory.algebra
/-!
# Monoid algebras
When the domain of a `finsupp` has a multiplicative or addi... |
a004a75227b639ef893444a5878b2d71f7ee1ba7 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/set_theory/zfc/basic.lean | 7b7600f04ced7acfac026a4e369214ac12b29f4c | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 41,030 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.set.lattice
import logic.small
import order.well_founded
/-!
# A model of ZFC
In this file, we model Zermelo-Fraenkel set theory (+ Choice) using Lean's... |
e91245bcdac1138ff78ed67864204346fcdaa753 | ac89c256db07448984849346288e0eeffe8b20d0 | /stage0/src/Init/Prelude.lean | 383e5c6e07111d65af23eec2d739ee4e61d39d2a | [
"Apache-2.0"
] | permissive | chepinzhang/lean4 | 002cc667f35417a418f0ebc9cb4a44559bb0ccac | 24fe2875c68549b5481f07c57eab4ad4a0ae5305 | refs/heads/master | 1,688,942,838,326 | 1,628,801,942,000 | 1,628,801,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 75,418 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
universe u v w
@[inline] def id {α : Sort u} (a : α) : α := a
/- `idRhs` is an auxiliary declaration used to implement "smart unfolding". It is u... |
89ea0175bede8a4f87ecc0da890ae7940dbf3bfe | b412a6d3e313459a241fcd7941e1ec91263762eb | /move_to_lib.hlean | ced7791ada34c998ce92f0c23f8dbcc5a069a774 | [
"Apache-2.0"
] | permissive | avigad/Spectral | fb5b87f7d25746b2203fbe6fdc0c80f7035158c9 | 6e2d8807f467e9662bace347bdfcaed593cba147 | refs/heads/master | 1,607,307,431,821 | 1,503,349,559,000 | 1,503,349,559,000 | 47,590,774 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41,271 | hlean | -- definitions, theorems and attributes which should be moved to files in the HoTT library
import homotopy.sphere2 homotopy.cofiber homotopy.wedge hit.prop_trunc hit.set_quotient eq2 types.pointed2
open eq nat int susp pointed sigma is_equiv equiv fiber algebra trunc pi group
is_trunc function unit prod bool
at... |
e02cd0acef52b22410b4c4733bd59ca1634896af | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/tactic/basic.lean | 1dfddba76b78d74ac4fc78384c9d2990237291af | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 792 | lean | import tactic.alias
import tactic.clear
import tactic.converter.apply_congr
import tactic.delta_instance
import tactic.elide
import tactic.explode
import tactic.find
import tactic.finish
import tactic.generalizes
import tactic.generalize_proofs
import tactic.lift
import tactic.lint
import tactic.localized
import tactic... |
cac7ae135ccc7f6d00364fab4fde1f1d0c93e11e | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/theories/analysis/metric_space.lean | e5c2911f4c44abc2ae0cf5561dce65c08cdfba9c | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 27,572 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Metric spaces.
-/
import data.real.complete data.pnat data.list.sort ..topology.basic data.set
open nat real eq.ops classical
structure metric_space [class] (M : Type) : ... |
ab13cb26e657007c98a77d3015467ae7de139495 | 5b273b8c05e2f73fb74340ce100ce261900a98cd | /binomial.lean | 9ca96d81df4b53652d6c6cf4760213e578e68f56 | [] | no_license | ChrisHughes24/leanstuff1 | 2eba44bc48da6e544e07495b41e1703f81dc1c24 | cbcd788b8b1d07b20b2fff4482c870077a13d1c0 | refs/heads/master | 1,631,670,333,297 | 1,527,093,981,000 | 1,527,093,981,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,315 | lean | import algebra.big_operators data.real.cau_seq tactic.ring algebra.archimedean data.nat.choose analysis.limits
open nat is_absolute_value
variables {α : Type*} {β : Type*} (f g : ℕ → α) (n m : ℕ)
local infix `^` := monoid.pow
local notation f ` ∑ ` : 90 n : 90 := finset.sum (finset.range n) f
section sum_range
var... |
f3642faa0a50f8ed60396851f7552ea8895e346a | 9a2260f3b7b64ae9c50bf326fdb0387f5ac64683 | /src/NITRO/Elements.lean | 2ec6067acbae7eb04346633c76caf1d496a3a7b1 | [
"LicenseRef-scancode-mit-taylor-variant",
"LicenseRef-scancode-warranty-disclaimer"
] | permissive | o89/nitro | e8e1c7f3e7baeb7a659f899c605d37b1d3e553a6 | c62a67398a89d6e6a2e9da62350adaf5f17cfda9 | refs/heads/master | 1,670,068,174,264 | 1,669,086,407,000 | 1,669,086,407,000 | 204,147,098 | 3 | 5 | null | null | null | null | UTF-8 | Lean | false | false | 245 | lean | import NITRO.Tags
variable {α : Type}
def div := @Elem.tag α "div"
def title := @Elem.tag α "title" []
def idAttr := Attr.str "id"
def classAttr := Attr.list "class"
def br := @Elem.unpaired α "br" []
def hr := @Elem.unpaired α "hr" []
|
fcfe8ae7bd0af97076f4ff6ec2487f6e6864a6bf | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/linear_algebra/direct_sum/tensor_product.lean | 361936a9ca50cf3040d52f3ba963798f637a1fc7 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 2,277 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro
-/
import linear_algebra.tensor_product
import linear_algebra.direct_sum_module
section ring
namespace tensor_product
open_locale tensor_product
open_locale dir... |
e0e3cc58e0d75905fdc89fe45135dfa898931aa1 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/cc_value.lean | e053c0bd65763554ea80b3414f1223a53fd29e71 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 412 | lean | open tactic
example (a b : nat) : a = 1 → b = 2 → a = b → false :=
by cc
example (a b c : int) : a = 1 → c = -2 → a = b → c = b → false :=
by cc
example (a b : char) : a = 'h' → b = 'w' → a = b → false :=
by cc
example (a b : string) : a = "hello" → b = "world" → a = b → false :=
by cc
example (a b c : string) : a... |
512ff287fab40317d9eed9b1a3a6fcb1e1591d04 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/rbmap/default.lean | c4bfe039c17e4aac7a0ea98c38787254b59968dd | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 15,049 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import data.rbtree
import data.rbmap.basic
universes u v
namespace rbmap
variables {α : Type u} {β : Type v} {lt : α → α → Prop}
/- Auxiliary instances -... |
804705a59fcf03fd7a60b79492c9c93a9f4eac11 | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Init/Data/Array/Basic.lean | 86765aa384f5599ff495b805c904b9a0536d4289 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,536 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.Nat.Basic
import Init.Data.Fin.Basic
import Init.Data.UInt
import Init.Data.Repr
import Init.Data.ToString.Basic
import Init.Util
u... |
a46b58b80c57c747218796df623d9e5d54438ef7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/bounded_continuous_function_auto.lean | 16eba22a58acab58e4f01476c45192222cc2aa74 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,767 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro, Yury Kudryashov, Heather Macbeth
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.normed_space.basic
import ... |
411379a7d6af1307ca009bd230f0074c3a912288 | 5fbbd711f9bfc21ee168f46a4be146603ece8835 | /lean/natural_number_game/power/6.lean | 78c263a0d479a853534d764c0eb8dff9d90305a3 | [
"LicenseRef-scancode-warranty-disclaimer"
] | no_license | goedel-gang/maths | 22596f71e3fde9c088e59931f128a3b5efb73a2c | a20a6f6a8ce800427afd595c598a5ad43da1408d | refs/heads/master | 1,623,055,941,960 | 1,621,599,441,000 | 1,621,599,441,000 | 169,335,840 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 166 | lean | lemma mul_pow (a b n : mynat) : (a * b) ^ n = a ^ n * b ^ n :=
induction n with d hd,
repeat {rw pow_zero},
simp,
repeat {rw pow_succ},
rw hd,
simp,
end
|
1562112825ad356f4236095ac708cef8d24ae331 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/zmod/quadratic_reciprocity.lean | c4a8bc90746eb4af7d07c0f11d2bdd29ed7b50cb | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 23,223 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import field_theory.finite data.zmod.basic data.nat.parity
/-!
# Quadratic reciprocity.
This file contains results about quadratic residues modulo a prime number.
The... |
30d99d39051f87601c6406cc58e3cc21eb952137 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/combinatorics/simple_graph/connectivity.lean | 4b5e0aec79048f9d4713d20e5a54bb87b88e9cd4 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 52,427 | lean | /-
Copyright (c) 2021 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import combinatorics.simple_graph.basic
import combinatorics.simple_graph.subgraph
import data.list
/-!
# Graph connectivity
In a simple graph,
* A *walk* is a finite se... |
70d2b73f99dbf8de280fdf6c390d6741fde37bea | 5e42295de7f5bcdf224b94603a8ec29b17c2d367 | /additive_tests.lean | 33cc46a39c4fc708a61210f8084264c846548ed4 | [] | no_license | pnmadelaine/lean_polya | 9369e0d87dce773f91383bb58ac6fde0a00a1a40 | 1c62b0b3fa71044b0225ce28030627d251b08ebc | refs/heads/master | 1,590,161,172,243 | 1,515,010,019,000 | 1,515,010,019,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,429 | lean | import control
variables x y z : ℚ
#exit
example (e1 : x < 1*y) (e2 : z < 1*y) (e3 : x + z > 3*y) (e4 : x + z >0) : false :=
by polya e1 e2 e3 e4
/-exps ← monad.mapm get_local [`e1, `e2, `e3, `e4],
bb ← add_proofs_to_blackboard blackboard.mk_empty exps,
bb.trace_exprs,
(_, bb) ← return $ add_new_ineqs bb,
b... |
d1d2b7db5e4686445f301080a720deed14b582c5 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/Ring/limits.lean | c59aaa2422e9d061d59ed98da1b707de6a7ebaf1 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 18,609 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.ring.pi
import algebra.category.Ring.basic
import algebra.category.Group.limits
import ring_theory.subring.basic
/-!
# The category of (commutative) r... |
1d78a746f04c0736d4219ff5ed277beca7ae4e21 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/group/defs.lean | ddc201b75a2cdb98b393fc990e403aad9727a532 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 29,653 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Simon Hudon, Mario Carneiro
-/
import algebra.group.to_additive
import tactic.basic
/-!
# Typeclasses for (semi)groups and monoids
In this file we de... |
adde855b525c007069cc4e516973754841684741 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/init/meta/converter.lean | 7b15d876172b86aa3b4dedb4dc88c72e2c310321 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,866 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Converter monad for building simplifiers.
-/
prelude
import init.meta.tactic init.meta.simp_tactic
import init.meta.congr_lemma init.meta.match_tactic
open ta... |
00eff52efbad5d5f28bf284cf5060abc1653bdd6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/fintype/prod.lean | e46ad8a5ded577e0ad7526025fa411a7ad132179 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 3,070 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.fintype.card
import data.finset.prod
/-!
# fintype instance for the product of two fintypes.
-/
open function
open_locale nat
universes u v
variables... |
3aeada49d68e2cfaf9e09b72bbefb728b266c932 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/field_theory/is_alg_closed/algebraic_closure.lean | 1a755a816eeefb05ccd8f150a8a4687fe475fec2 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 10,844 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.direct_limit
import field_theory.is_alg_closed.basic
/-!
# Algebraic Closure
In this file we construct the algebraic closure of a field
## Main Definitions
- ... |
20edf8e8ebd26964e4bb96e75fcf7d28d2709a1a | ca1ad81c8733787aba30f7a8d63f418508e12812 | /clfrags/src/hilbert/kleene/l4.lean | fa14b769a77891d8e17945cdc6d48df0a2fc0d75 | [] | no_license | greati/hilbert-classical-fragments | 5cdbe07851e979c8a03c621a5efd4d24bbfa333a | 18a21ac6b2e890060eb4ae65752fc0245394d226 | refs/heads/master | 1,591,973,117,184 | 1,573,822,710,000 | 1,573,822,710,000 | 194,334,439 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,723 | lean |
namespace hidden
constant and : Prop → Prop → Prop
constant or : Prop → Prop → Prop
constant imp : Prop → Prop → Prop
constant neg : Prop → Prop
constant top : Prop
constant bot : Prop
notation a `or` b := or a b
notation a `imp` b := imp a b
notation a `and` b := and a b
axiom cl₁ : ∀ {a b : Prop}, a → (a imp b) →... |
f6763ca64a0a0ed46c96eca5535c28ceaf8ebb38 | df561f413cfe0a88b1056655515399c546ff32a5 | /8-inequality-world/l4.lean | 2033fdec2fe1874ac712d0c73011bbc7eb766807 | [] | no_license | nicholaspun/natural-number-game-solutions | 31d5158415c6f582694680044c5c6469032c2a06 | 1e2aed86d2e76a3f4a275c6d99e795ad30cf6df0 | refs/heads/main | 1,675,123,625,012 | 1,607,633,548,000 | 1,607,633,548,000 | 318,933,860 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 74 | lean | lemma zero_le (a : mynat) : 0 ≤ a :=
begin
use a,
rw zero_add,
refl,
end |
c5f25a1b90d9c0cfa36f9bee7fe83f43d23a3831 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Lsp/Capabilities.lean | e6c178544f6cc0f070e74677d860331959416b53 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 3,262 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Lean.Data.JsonRpc
import Lean.Data.Lsp.TextSync
import Lean.Data.Lsp.LanguageFeatures
import Lean.Data.Lsp.CodeActions
/-! Minimal LSP serve... |
728927e4c630755ca89ee07553ac8afb49dce842 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/shapes/concrete_category.lean | 4956e18c20747a70e0a341a5fc78829ff81c987a | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 673 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.shapes.kernels
import category_theory.concrete_category.basic
import tactic.elementwise
/-!
# Facts about limits of functors into concr... |
ce86bdb30bd16e8e2f2adc783d5a79005b1d0de9 | 9e90bb7eb4d1bde1805f9eb6187c333fdf09588a | /src/lib/attributed/to_mathlib.lean | 0311ea45405740e883e5bc93e1cd94ee9686e4d8 | [
"Apache-2.0"
] | permissive | alexjbest/stump-learnable | 6311d0c3a1a1a0e65ce83edcbb3b4b7cecabb851 | f8fd812fc646d2ece312ff6ffc2a19848ac76032 | refs/heads/master | 1,659,486,805,691 | 1,590,454,024,000 | 1,590,454,024,000 | 266,173,720 | 0 | 0 | Apache-2.0 | 1,590,169,884,000 | 1,590,169,883,000 | null | UTF-8 | Lean | false | false | 31,317 | lean | /-
Various lemmas intended for mathlib.
Some parts of this file are originally from
https://github.com/johoelzl/mathlib/blob/c9507242274ac18defbceb917f30d6afb8b839a5/src/measure_theory/measurable_space.lean
Authors: Johannes Holzl, John Tristan, Koundinya Vajjha
-/
import tactic.tidy
import measure_theory.giry_mon... |
7c856c6d4e43cbeaad7c3b146d4e9ec8604c5e72 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Parser/Extension.lean | e01c29f5c442de2d861ae4135cd9cf85b53291f7 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 26,301 | lean | /-
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
-/
import Lean.ScopedEnvExtension
import Lean.Parser.Basic
import Lean.Parser.StrInterpolation
import Lean.KeyedDeclsAttribute
/-! Extensib... |
5a4ecd1d6251a34f5832e9503e963bc0f33ab33a | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /src/Init/Core.lean | de20f0154169b16eb95e80c872fb4f225c3fe764 | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,229 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
notation, basic datatypes and type classes
-/
prelude
import Init.Prelude
import Init.SizeOf
universes u v w
def inline {α : Sort u} (a : α) : α := a
@[inl... |
29c065587e47e9ca5b37b7585f4d797003da36f4 | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /old/language_term_ln.lean | e204449c11a26deea6a3cda62faf663eae0eb535 | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 4,679 | lean | /- 2018-10-12T21:52:34 Locally nameless formulas, built off Floris' preterms
---Jesse
I wanted to avoid the headache over shifts (at the cost of needing to define a well-formedness predicate on terms); my implementation of locally nameless formulas is based off Chargueraud's paper (thanks for the pointer Jeremy!).
TO... |
883c4e899ad7f55223b8fa56a59cdd6d0472cbc4 | 274748215b6d042f0d9c9a505f9551fa8e0c5f38 | /src/affine_algebraic_set/intersection.lean | 16612961424c776b5d0db7fafece75448dc6f1ce | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/M4P33 | 878ecb515c77d20cc799ff1ebd78f1bf4fd65c12 | 1a179372db71ad6802d11eacbc1f02f327d55f8f | refs/heads/master | 1,607,519,867,193 | 1,583,344,297,000 | 1,583,344,297,000 | 233,316,107 | 59 | 4 | Apache-2.0 | 1,579,285,778,000 | 1,578,788,367,000 | Lean | UTF-8 | Lean | false | false | 2,032 | lean | /-
The intersection of algebraic sets is an algebraic set.
Kevin Buzzard
-/
import affine_algebraic_set.basic -- the basic theory of affine algebraic sets.
/-
# The intersection of (any number of) affine algebraic sets is affine.
Let k be a field and let n be a natural number. We prove the following
theorem in this... |
2bbf4cb2817d89aaf4ec464290b79402771bfb90 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/export.lean | 7983c99a683f4cc915215355ef1de550b42a0663 | [
"Apache-2.0"
] | permissive | soonhokong/lean | cb8aa01055ffe2af0fb99a16b4cda8463b882cd1 | 38607e3eb57f57f77c0ac114ad169e9e4262e24f | refs/heads/master | 1,611,187,284,081 | 1,450,766,737,000 | 1,476,122,547,000 | 11,513,992 | 2 | 0 | null | 1,401,763,102,000 | 1,374,182,235,000 | C++ | UTF-8 | Lean | false | false | 206 | lean | import data.nat
constants a b : nat
namespace boo
export nat (rec add)
check a + b
check nat.add
check boo.add
check add
end boo
check boo.rec
open boo
check a + b
check boo.rec
check nat.rec
|
1f14a5946cf48ae1076431a5e11457b6c464252c | 367134ba5a65885e863bdc4507601606690974c1 | /src/field_theory/minpoly.lean | d437ddc4ebebbd971697b89263e960832970fceb | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 17,956 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johan Commelin
-/
import data.polynomial.field_division
import ring_theory.integral_closure
import ring_theory.polynomial.gauss_lemma
/-!
# Minimal polynomials
This file ... |
e85b093e5dda139a50abc9e424d74e3b104df423 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/decClassical.lean | ed2d59fd99b405bbf929646c700004994b09ab5d | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 309 | lean | open Classical
theorem ex : if (fun x => x + 1) = (fun x => x + 2) then False else True := by
have : (fun x => x + 1) ≠ (fun x => x + 2) := by
intro h
have : 1 = 2 := congrFun h 0
contradiction
rw [ifNeg this]
exact True.intro
def tst (x : Nat) : Bool :=
if 1 < 2 then true else false
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.