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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
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class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b515b778cc54888890fd7d5c0e85aa60a86ae8ea | 94e33a31faa76775069b071adea97e86e218a8ee | /src/number_theory/liouville/measure.lean | c97376817ebf9e1021a32834aebc912a906b57b3 | [
"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 | 6,176 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import measure_theory.measure.lebesgue
import number_theory.liouville.residual
import number_theory.liouville.liouville_with
import analysis.p_series
/-!
# V... |
becadd2fda82b1350d2fe638d38ad871e50b210b | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/lean/parser/identifier.lean | b0d170ef9a3d12b911bd76c012b21873a74a2fb6 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 1,540 | 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.char.basic
namespace Lean
def isGreek (c : Char) : Bool :=
0x391 ≤ c.val && c.val ≤ 0x3dd
def isLetterLike (c : Char) : Bool :=
... |
190da4a001d9bc1aca0fba35478bb20414487b0b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/state12.lean | 1c7eca4fd54cfacce0f4727725f6a030a927ae0c | [
"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 | 3,729 | lean | /- Enumerable and the Decidable instance may already be in Mathlib -/
class Enumerable (α : Type u) where
elems : List α
complete : ∀ a : α, a ∈ elems
def List.allTrue (p : α → Prop) [(a : α) → Decidable (p a)] : List α → Bool
| [] => true
| a :: as => p a && allTrue p as
theorem List.of_allTrue [(a : α) ... |
9f715bf04e713076a121d1e94420807037b97224 | dc253be9829b840f15d96d986e0c13520b085033 | /homotopy/EMRing.hlean | b85a7d4444ae3de1129ed877d3616c8132ff62ae | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 5,186 | hlean | -- Authors: Floris van Doorn
import .EM .smash_adjoint ..algebra.ring ..algebra.arrow_group
open algebra eq EM is_equiv equiv is_trunc is_conn pointed trunc susp smash group nat function
namespace EM
definition EM1product_adj {R : Ring} :
EM1 (AddGroup_of_Ring R) →* ppmap (EM1 (AddGroup_of_Ring R)) (EMadd1 (AddA... |
2fac74d197694f654969bf097bfb282d578b6328 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/IO4.lean | 0ef34fc1c4bcb1ad517c1bfa9480f94c60c3613f | [
"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 | 204 | lean | import system.io
open io
set_option trace.compiler.code_gen true
definition main : io unit :=
do { n ← return (10:nat),
if n = (11:nat) then
print 1
else
print 2 }
#eval main
|
f8f1cc26e5cf60c87180beddb3a44ff8bf5a4feb | 28be2ab6091504b6ba250b367205fb94d50ab284 | /levels/my_solutions/world3_le.lean | 5795e4d7111041cfd29f50079c5f0123d0605b19 | [
"Apache-2.0"
] | permissive | postmasters/natural_number_game | 87304ac22e5e1c5ac2382d6e523d6914dd67a92d | 38a7adcdfdb18c49c87b37831736c8f15300d821 | refs/heads/master | 1,649,856,819,031 | 1,586,444,676,000 | 1,586,444,676,000 | 255,006,061 | 0 | 0 | Apache-2.0 | 1,586,664,599,000 | 1,586,664,598,000 | null | UTF-8 | Lean | false | false | 4,774 | lean | import solutions.world2_multiplication
import mynat.le
/- Here's what you get from the import:
1) The following data:
* a binary relation called mynat.le, and notation a ≤ b for this relation.
The definition is: a ≤ b ↔ ∃ c : mynat, b = a + c
2) The following axiom:
* `le_def (a b : mynat) : a ≤ b ↔ ∃ (c : m... |
e22cfdda817e9f4a8513ffa4daebb8031179f002 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /natprimes.lean | d1f6123d46b6dadf562db9b61b58a0c9e9935015 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,902 | lean | import data.nat.prime
import tactic.norm_num
import data.list.basic
import analysis.real
open nat
definition is_prime : nat → Prop
| zero := false
| (succ zero) := false
| (succ(succ x)) := ¬∃b c:nat,2≤b ∧ 2≤c ∧ b*c=succ(succ x)
definition product : list nat → nat
| list.nil := 1
| (n::L) := n * product L
theorem pr... |
c65ca9c5461fa30e09d7314a187d1a9c420a6eb4 | 7850aae797be6c31052ce4633d86f5991178d3df | /src/Lean/Data/Lsp/Ipc.lean | 7ca9eff5577a1a134a7087a7300a2af584fd83fc | [
"Apache-2.0"
] | permissive | miriamgoetze/lean4 | 4dc24d4dbd360cc969713647c2958c6691947d16 | 062cc5d5672250be456a168e9c7b9299a9c69bdb | refs/heads/master | 1,685,865,971,011 | 1,624,107,703,000 | 1,624,107,703,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,663 | 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 Init.System.IO
import Lean.Data.Json
import Lean.Data.Lsp.Communication
import Lean.Data.Lsp.Diagnostics
import Lean.Data.Lsp.Extra
/-! Prov... |
d990b7afd7b8400d80abce032ffb10ac19cf4067 | 59b654f4ee2fef898a3487dc03554a569051b63a | /src/old/category.lean | 2ffa21b36ea598623df94caf0a4a837a7e3917ae | [] | no_license | gunpinyo/twisted_cube_formalisation | 180c9157478b66ec2b11ca47c8ff998a3e978a88 | f78206ac495e84bd43a9b820fa10b6c94722e0ec | refs/heads/master | 1,624,501,222,992 | 1,607,081,624,000 | 1,607,081,624,000 | 166,885,106 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 648 | lean | universes u v
structure category :=
(obj : Type u)
(hom : obj → obj → Type v)
(id : Π (X : obj), hom X X)
(comp : Π {X Y Z : obj}, hom X Y → hom Y Z → hom X Z)
(id_l : ∀ {X Y : obj} (f : hom X Y), comp (id X) f = f)
(id_r : ∀ {X Y : obj} (f : hom X Y), comp f (id Y) = f)
(assoc : ∀ {X Y Z W : o... |
f3b055bd7f6b94b3d16a1c8a2f018f8ab125a971 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/special_functions/log_deriv.lean | 7f1e0683db2b24daea6e9bb4aa0e7f0f4018cc2a | [
"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 | 11,260 | 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
-/
import analysis.special_functions.log
import analysis.special_functions.exp_deriv
/-!
# Derivative and series expansion o... |
29ec51ce706758e93fc1f81ee7af125dc49cd12f | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Lean/Util/PPExt.lean | 2f07ba527fda3f272d6ddbe79caadc32060cddcf | [
"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 | 1,303 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Environment
import Lean.MetavarContext
namespace Lean
abbrev PPExprFn := Environment → MetavarContext → LocalContext → Options → Expr → Format
... |
e8be46086eb9a33134f354277c24c48926228a4a | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/complex/module.lean | 49ee5c154ceefc6235ed6fc5f68dd838919e2d6e | [
"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 | 10,541 | lean | /-
Copyright (c) 2020 Alexander Bentkamp, Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Sébastien Gouëzel, Eric Wieser
-/
import algebra.order.module
import data.complex.basic
import data.fin.vec_notation
import field_theory.towe... |
675c0984bb7578a6cfa0bd40329cce66b1763700 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Lean/Elab/Binders.lean | b2f28050f34ca793ccfd74c1cfed93737c1861f2 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,520 | 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
-/
prelude
import Init.Lean.Elab.Term
import Init.Lean.Elab.Quotation
namespace Lean
namespace Elab
namespace Term
/--
Given syntax of the forms
a) (`:... |
c82a2084407e4fa701bf6d391aafe3a6220f6b3b | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Util/ReplaceExpr.lean | b229f31032c7f89aba13f06a9eaf794c1fb16b01 | [
"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 | 3,018 | 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.Expr
namespace Lean
namespace Expr
namespace ReplaceImpl
abbrev cacheSize : USize := 8192
structure State where
keys : Array Expr -- Re... |
6e6bd949c9716e7ede184f9b4f90c1eb933c4326 | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/src/uexp/meta/u_semiring_AST.lean | ddb790deac72f76fc97b02cac00a7fc2ea6cc956 | [
"BSD-2-Clause"
] | permissive | ReinierKoops/Cosette | e061b2ba58b26f4eddf4cd052dcf7abd16dfe8fb | eb8dadd06ee05fe7b6b99de431dd7c4faef5cb29 | refs/heads/master | 1,686,483,953,198 | 1,624,293,498,000 | 1,624,293,498,000 | 378,997,885 | 0 | 0 | BSD-2-Clause | 1,624,293,485,000 | 1,624,293,484,000 | null | UTF-8 | Lean | false | false | 4,005 | lean | import ..u_semiring
@[derive [decidable_eq]]
meta inductive ast : Type
| one : ast
| zero : ast
| plus : ast → ast → ast
| time : ast → ast → ast
| sig : list (name × expr) → ast → ast
| const : expr → ast
| squash : ast → ast
| not : ast → ast
| ueq : expr → expr → ast
-- The ast is formatted as an s-expression to ... |
2656626cb5adc98ec8f5ea74b3dced67b527955b | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/sheaves/sheaf_condition/opens_le_cover.lean | 14d8c30fb71e0b437ac1d4becaf756b147afdc22 | [
"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 | 13,509 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.sheaves.presheaf
import category_theory.limits.final
import topology.sheaves.sheaf_condition.pairwise_intersections
/-!
# Another version of the shea... |
41e1837971a5356d71d18b6c32fc50805b923bfa | 43367c9a7b6177979de535076f320c934a5f62b5 | /src/modal-logic.lean | 396a7f9c4a1ed53bdd2298abe7ebde2344ba8527 | [] | no_license | marcusklaas/logical-verification-project | 78b881bd62be8cb992f33dd69c31815aa90686b3 | de1514be59c1c07a22225cb3f690eb2dc0c585b4 | refs/heads/master | 1,586,392,414,390 | 1,543,832,565,000 | 1,543,832,565,000 | 159,872,162 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,509 | lean | import data.set.basic
-- project logical verification 2018 - marcus klaas de vries
-- this file defines some elementary structures and results used in the semantics of
-- basic unimodal logic.
-- we first show that reflexivity of frames is modally definable
-- then, we prove that bisimulations preserves formula sati... |
667f05ad7e4e43ac71334e03311314be3bbae5d4 | bdd56e6eb0f467437e368d613de75299495d4054 | /src/group_theory/mathieu_group.lean | d13f30183e3340c5d12940376460e88d08cd4e52 | [] | no_license | truong111000/formalabstracts | 49a04c268ccee136e48e24e9d5dcb6fedea4b53e | 93a89a5c05c6fbc23eb9b914b60dcc353e609cd2 | refs/heads/master | 1,589,551,767,824 | 1,555,708,723,000 | 1,555,708,723,000 | 182,326,292 | 0 | 0 | null | 1,555,708,332,000 | 1,555,708,331,000 | null | UTF-8 | Lean | false | false | 4,142 | lean | import group_theory.basic
import data.finset group_theory.group_action
open finset fintype is_group_action is_monoid_action
universes u v
local attribute [instance, priority 0] classical.prop_decidable
variables {α : Type u} {β : Type v} {t k v : ℕ}
namespace mathieu_group
/--
A Steiner system $S(t,k,v)$, where $... |
bb59ac262db2ce8e5caeb999869076ca7de71f6e | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/1163.lean | fb53c8e85eb61abb71ebe8bd63275987091a84da | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 207 | lean | inductive Foo : Type → Type*
| mk : Π (X : Type), Foo X
| wrap : Π (X : Type), Foo X → Foo X
def rig : Π {X : Type}, Foo X → Foo X
| X (Foo.wrap .X foo) := foo
| X foo := foo
|
0d96f10e2b89a40c3c8b4b76b4254eee95bba1ff | 618003631150032a5676f229d13a079ac875ff77 | /test/rcases.lean | a6ea627df4e0fdd0b35d1bcaaf55dd540595b256 | [
"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 | 2,280 | 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.rcases
universe u
variables {α β γ : Type u}
example (x : α × β × γ) : true :=
begin
rcases x with ⟨a, b, c⟩,
{ guard_hyp a := α,
guard_hyp b := β,... |
5327a944f786d533437ab7a4cdd0ccc6f7e0ea44 | 342425037bb9207ebcc87b62ab094d311b0787bb | /src/solutions/00_first_proofs.lean | 9a196306ab1fcac6d57fd420a9075a6d704f699f | [
"Apache-2.0"
] | permissive | Denglihua/tutorials | 6d4c219784f34acaa0bfcdfc388e980fd04b0cc2 | 6449169303de57d5f1799c25ac2a51af7062931d | refs/heads/master | 1,673,009,657,280 | 1,604,880,270,000 | 1,604,880,270,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,076 | lean | /-
This file is intended for Lean beginners. The goal is to demonstrate what it feels like to prove
things using Lean and mathlib. Complicated definitions and theory building are not covered.
Everything is covered again more slowly and with exercises in the next files.
-/
-- We want real numbers and their basic proper... |
a18b1676baca947f346ae56e8094cac7301d6ee7 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/PrettyPrinter/Basic.lean | 11ce863f8987dac7161632946a6839da82f71718 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,106 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.InternalExceptionId
import Lean.KeyedDeclsAttribute
namespace Lean
namespace PrettyPrinter
/- Auxiliary internal exception for backtracking the pr... |
b10df13f2e285afceb33863111d1ae75584ff817 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/norm.lean | 1ccbfdd353385a45ee919dc123a0b96feaabdaa2 | [
"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 | 12,039 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import field_theory.primitive_element
import linear_algebra.determinant
import linear_algebra.matrix.charpoly.minpoly
import linear_algebra.matrix.to_linear_equiv
import f... |
a5f84bf93dcad5bc0fef46cec61111ffba822f2f | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/whiskering.lean | 72ea58297e7e98bcaddec67a27395d0eee0b2c3d | [
"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 | 7,601 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.isomorphism
import category_theory.functor_category
namespace category_theory
universes u₁ v₁ u₂ v₂ u₃ v₃ u₄ v₄
section
variables (C : S... |
9c5e09c2f21dad5bf718eb182e2fcdc83352b58a | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/MultMagma.lean | ae741b3ae39e1818526f265dd6eee7143d370265 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,739 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section MultMagma
structure MultMagma (A : Type) : Type :=
(times : (A → (A → A)))
open MultMagma
structure Sig (AS : Type) : Type :=
(timesS : (AS → (AS → AS... |
ee4bbb788c6e592d83060c18fd70c4f734b02872 | 1a61aba1b67cddccce19532a9596efe44be4285f | /library/algebra/ordered_group.lean | 0459bdf983d930e9d29a6bd01a69a3ebe7dc5ae7 | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 30,631 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Partially ordered additive groups, modeled on Isabelle's library. These classes can be refined
if necessary.
-/
import logic.eq data.unit data.sigma data.prod
import alge... |
fef1e217ce951448a3486ff2ad19fdb77c5fd771 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/measure_theory/integrable_on.lean | 6a3b7f174b6e7ebe3d70b4a71d83eb33debf45ff | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 20,605 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.l1_space
import analysis.normed_space.indicator_function
/-! # Functions integrable on a set and at a filter
We define `integra... |
c48848638993d0b7bed7c5b539fed02151bba89b | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /stage0/src/Lean/Elab/PreDefinition/Main.lean | 540c8d6b0b635570db03cc64cdef5cba106699eb | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,236 | 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.PreDefinition.Basic
import Lean.Elab.PreDefinition.Structural
import Lean.Elab.PreDefinition.WF
namespace Lean.Elab
open Meta
open Term
pr... |
ee8620a7d27566c873dcd1d8340b82ddadd8e9d5 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/category_theory/monad/algebra.lean | 0ad5d473f1a1db0ac97e304ce38e9ab59886e775 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 3,161 | 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 category_theory.monad.basic
import category_theory.adjunction.basic
/-!
# Eilenberg-Moore algebras for a monad
This file defines Eilenberg-Moore algebras for... |
9bbdb3fbfd10f3cd44652959f884929ddeb9c4df | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/inner_product_space/rayleigh.lean | 66fc2437ad046a674a8d802efcf875d6a6b49b72 | [
"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 | 12,253 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Frédéric Dupuis
-/
import analysis.inner_product_space.calculus
import analysis.inner_product_space.dual
import analysis.inner_product_space.adjoint
import analysis.c... |
8cf5bcb8b02e1a0fc1502d036cd4ab6f916fc82c | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/category/Group/Z_Module_equivalence.lean | 8a191d12a3de7401ae3d90bfe4fc25aef0ccbce0 | [
"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 | 1,304 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Module.basic
/-!
The forgetful functor from ℤ-modules to additive commutative groups is
an equivalence of categories.
TODO:
either use this ... |
29b4fc033308944cb87bb1fd5a5839705af384e7 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/server/diags.lean | 4b96c6191c43340cd8c30ebab85c33d1daca08e8 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 141 | lean | #lang lean4
import Lean.Server
#eval Lean.Server.Test.runWithInputFile "./diags_client.log" none -- The builtin search path seems to be fine
|
9c8f2ccd5e7766bde31747c11eedb24ec06a73fe | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/num/prime.lean | f996feac90da06359501228313748e282c5e1352 | [
"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 | 4,268 | lean | /-
Copyright (c) 2020 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.num.lemmas
import data.nat.prime
import tactic.ring
/-!
# Primality for binary natural numbers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes ... |
c3f9dedef1f7b9d2b8b06309f795ed14eab06aaf | 4fa161becb8ce7378a709f5992a594764699e268 | /src/measure_theory/probability_mass_function.lean | fb12be82984beb52b15b34e028ebdf3edcd8f56a | [
"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 | 4,776 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Probability mass function -- discrete probability measures
-/
import topology.instances.ennreal
noncomputable theory
variables {α : Type*} {β : Type*} {γ : Type*}
open_l... |
06f90a7ce45b65d6ad7110d2d61bf58e53bb3f6b | 94e33a31faa76775069b071adea97e86e218a8ee | /src/number_theory/number_field.lean | 4289b651064a65c63c123b1106aa9a06b0b304dd | [
"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 | 8,510 | lean | /-
Copyright (c) 2021 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan, Anne Baanen
-/
import ring_theory.dedekind_domain.integral_closure
import algebra.char_p.algebra
/-!
# Number fields
This file defines a number field, the ring of... |
6c57c4dd2e9c523b44672528188ee17a53ad33c6 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/topology/subset_properties.lean | 464b9cb74a1f0745fb663b1454693ad387bac431 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 54,793 | 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, Yury Kudryashov
-/
import topology.continuous_on
/-!
# Properties of subsets of topological spaces
## Main definitions
`compact`, `is_clopen`, `is_ir... |
dbaa82fc046915d8f3c13f861dbad83182c85e8c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/valuation/basic.lean | 0f209fc8b7965dd110e3cec11a3b2491f5ddd2d8 | [
"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 | 26,840 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Johan Commelin, Patrick Massot
-/
import algebra.order.with_zero
import ring_theory.ideal.operations
/-!
# The basics of valuation theory.
> THIS FILE IS SYNCHRONIZE... |
ce6e971d9b78d675bbe13030fda7f2c5dae93cd8 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/discrete_category.lean | 0cc58934c5e0a8b4d1558d90a3aa20ce0356aaa8 | [
"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 | 1,630 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import data.ulift
import category_theory.functor_category
namespace category_theory
universes v₁ v₂ u₁ u₂ -- declare the `v`'s first; see `categ... |
212656c1122c03814818cedd2a902de26b54f4eb | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/ImportingFlag.lean | 5c0eeaaf1d7f3bec63e3660a230905f28e165f11 | [
"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 | 1,908 | 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
-/
namespace Lean
private builtin_initialize importingRef : IO.Ref Bool ← IO.mkRef false
private builtin_initialize runInitializersRef : IO.Ref Bool ← IO.mkR... |
e2adf520a3081750c5a36d4291609f4eadc756df | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /roadmap/topology/shrinking_lemma.lean | 999671690578166340e92b9b28c63fb8ab8e7171 | [
"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 | 2,286 | lean | /-
Copyright (c) 2020 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import ..todo
import topology.separation
/-!
A formal roadmap for the shrinking lemma for local finite countable covers.
It contains the statement of the lemma, and an i... |
e84c3cf1d3d431aba53e87fa22312a7dab6e67f7 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/if_dollar_prec.lean | 768b6087ad8362ee9c6575b0f19098e3aa401358 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33 | lean | check if tt then tt else id $ ff
|
8d4917f4842cce363b74d8c88c43482cee47b2c9 | a338c3e75cecad4fb8d091bfe505f7399febfd2b | /src/analysis/normed_space/linear_isometry.lean | c4d45a381153b863c2af889ad6a1e1182f8691c0 | [
"Apache-2.0"
] | permissive | bacaimano/mathlib | 88eb7911a9054874fba2a2b74ccd0627c90188af | f2edc5a3529d95699b43514d6feb7eb11608723f | refs/heads/master | 1,686,410,075,833 | 1,625,497,070,000 | 1,625,497,070,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,392 | 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.normed_space.basic
/-!
# Linear isometries
In this file we define `linear_isometry R E F` (notation: `E →ₗᵢ[R] F`) to be a linear isometric
embedd... |
77987e022ced96d5e87d285d2906e3c6eca50e3d | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /algebra/ring.lean | 18947f24b9055b272a41748ef07b5f11337ab6eb | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 9,418 | 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, Floris van Doorn
-/
import algebra.group data.set.basic
universes u v
variable {α : Type u}
section
variable [semiring α]
theorem mul_two (n : α) : ... |
8e57595d81054453317d80c8e85e62a44f183eb9 | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /ring_theory/subring.lean | 6a4299850a64fe446d1f80f86a3079a80fc15ba1 | [
"Apache-2.0"
] | permissive | kristychoi/mathlib | c504b5e8f84e272ea1d8966693c42de7523bf0ec | 257fd84fe98927ff4a5ffe044f68c4e9d235cc75 | refs/heads/master | 1,586,520,722,896 | 1,544,030,145,000 | 1,544,031,933,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,707 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import group_theory.subgroup
import data.polynomial
import algebra.ring
universes u v
open group
variables {R : Type u} [ring R]
/-- `S` is a subring: a set cont... |
39414f7ad969935ff6e94d94b23be371d3830d28 | 11e28114d9553ecd984ac4819661ffce3068bafe | /src/M.lean | 723fcc824a7c962fcb8f85127f6b0750770c4e1d | [
"MIT"
] | permissive | EdAyers/lean-subtask | 9a26eb81f0c8576effed4ca94342ae1281445c59 | 04ac5a6c3bc3bfd190af4d6dcce444ddc8914e4b | refs/heads/master | 1,586,516,665,621 | 1,558,701,948,000 | 1,558,701,948,000 | 160,983,035 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,758 | lean | /- Author: E.W.Ayers © 2019 -/
import .data
namespace robot
open tactic
meta def M : Type → Type := state_t state conv
meta instance M.monad : monad M := state_t.monad
meta instance M.monad_state : monad_state state M := state_t.monad_state
meta instance M.alternative : alternative M := state_t.alternative
meta instanc... |
9ae890227a2e64f42a3858b8573303c84d39029c | 4309b17a35495daf93ecb4abf8a4e7bfd8d4c7d6 | /q2.lean | 83915e37f6ea036883965f9bbae82bf9d641d5c8 | [] | no_license | lbarrios/lean_rio2016 | 7533184d3f186ba66351d5ca9eb4b0c7fcbb02a2 | eb34c5d9cc1396d08d6641e57308a357ea030d1a | refs/heads/master | 1,610,270,235,983 | 1,456,692,208,000 | 1,456,692,208,000 | 52,373,073 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,723 | lean | /-
Question 2. Prove the following four identities, and determine are nonconstructive,
and hence require some form of classical reasoning.
Replace the 'sorry' placeholders by actual proofs.
-/
open classical
variables (A : Type)(p q : A → Prop)
variable r: Prop
--------------
-- example 1
--------------
example: (∃x, ... |
cea29416711e0cd325e87e89427c8cadace06eb3 | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/assert_tac3.lean | 622d9a949f6170805eadee55bffda7ade20faaab | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 814 | lean | open tactic
definition tst2 (a : nat) : a = a :=
by do
assert `x (expr.const `nat []),
rotate 1,
trace_state,
a ← get_local `a,
mk_app `eq.refl [a] >>= exact,
a ← get_local `a,
exact a,
return ()
#print tst2
definition tst3 (a b : nat) : a = a :=
by do
define `x (expr.const `nat []),
ro... |
d8041e1573dfd53eeda58217c537a1810a28a2ce | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world01/level04.lean | 3e1d56835035e7bf124e9e78305bfb8d1c9cfffd | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 119 | lean | import mynat.add
lemma add_succ_zero (a : mynat) : a + succ(0) = succ(a) :=
begin
rw add_succ,
rw add_zero,
refl,
end
|
98656b544afdb87a7cc2ee801931dff98971a3da | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/algebraic_card.lean | 00fd3d71a656fa3ac528b66d06e91eabd7f54afe | [
"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 | 3,690 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import data.polynomial.cardinal
import ring_theory.algebraic
/-!
### Cardinality of algebraic numbers
In this file, we prove variants of th... |
0f75a0802e0dc6fdec49f3f1521595f7d66fa06e | e612b8e5e69b002d5ca583f49b7c00261b1ba5fa | /LAMR/Examples/implementing_propositional_logic/examples.lean | 1d4c243430abf04bb3427bb427d8aa6b57c42f85 | [] | no_license | Vtec234/lamr | fd515b808a5eca5203f625664dca0a49f3415ae7 | c309cddc7f0b13853fe87c1136751213b3593988 | refs/heads/main | 1,689,188,979,978 | 1,630,287,739,000 | 1,630,287,739,000 | 401,341,461 | 0 | 0 | null | 1,630,327,695,000 | 1,630,327,694,000 | null | UTF-8 | Lean | false | false | 6,892 | lean | import LAMR.Util.Propositional
-- textbook: PropForm
namespace hidden
inductive PropForm
| tr : PropForm
| fls : PropForm
| var : String → PropForm
| conj : PropForm → PropForm → PropForm
| disj : PropForm → PropForm → PropForm
| impl : PropForm → PropForm → PropForm
| neg : PropForm ... |
249375b492f1274c2df778e8f7b3efbd46b54dbe | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/probability/probability_mass_function/constructions.lean | 3442a6f2d8167d0931e80a85f3af2edd1e54bd53 | [
"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 | 9,211 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Devon Tuma
-/
import probability.probability_mass_function.monad
/-!
# Specific Constructions of Probability Mass Functions
This file gives a number of different `pmf... |
2946f1a6e72036b6d72ac1bdf8a96ae3b6ab5e15 | 92b50235facfbc08dfe7f334827d47281471333b | /hott/init/funext.hlean | e54a6f04781668a070c2d38ee00f5add6591fab7 | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 10,501 | hlean | /-
Copyright (c) 2014 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer
Ported from Coq HoTT
-/
prelude
import .trunc .equiv .ua
open eq is_trunc sigma function is_equiv equiv prod unit prod.ops lift
/-
We now prove that funext fol... |
7398aa36f8d77aa92cea180e38bd9cd005599946 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/homotopy/sphere2.hlean | 3c15db76db31293d9cd9cb8f4d3dc6d90a0f78e4 | [
"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 | 5,052 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Calculating homotopy groups of spheres.
In this file we calculate
π₂(S²) = Z
πₙ(S²) = πₙ(S³) for n > 2
πₙ(Sⁿ) = Z for n > 0
π₂(S³) = Z
-/
import .homotopy_group .... |
6199160249387101365146d220c5b890f75638fb | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/intervals/ord_connected.lean | 4b26370ba8d3afff971e2ffbb54ce35e66f85e1b | [] | 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 | 8,184 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.intervals.unordered_interval
import Mathlib.data.set.lattice
import Mathlib... |
da82004ca83ac2afd4253b97064c63338026be74 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/tensor_product.lean | 2257a1b25af184282c3bb60c81d04cb5ed5d520e | [
"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 | 29,101 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johan Commelin
-/
import linear_algebra.tensor_product_basis
import ring_theory.adjoin.basic
/-!
# The tensor product of R-algebras
Let `R` be a (semi)ring and `A` a... |
603a63ee6c66ca3a5e50ca55545482aaa66a2ba0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Options.lean | 0b6525a24acbb1daad7dd5148d296faaed5fba4c | [
"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 | 4,972 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich and Leonardo de Moura
-/
import Lean.ImportingFlag
import Lean.Data.KVMap
import Lean.Data.NameMap
namespace Lean
def Options := KVMap
def Options.empty : O... |
643feef74f1da2ea97ed7f8bb27b6207c7dbc364 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/algebra/order.lean | cd8d8bc7dc5d7cc3124334e1a91dcd08e16beac8 | [
"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 | 10,344 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
universe u
variables {α : Type u}
lemma not_le_of_lt [preorder α] {a b : α} (h : a < b) : ¬ b ≤ a :=
(le_not_le_of_lt h).right
lemma not_lt_of_le [preorder α] {a b... |
37dadfb1ba2853e56e0c8ac23a81974eecdc7510 | 7d5ad87afb17e514aee234fcf0a24412eed6384f | /src/compactness.lean | 72be3e1d77bc264c750f574588bf0d2cbe962b68 | [] | no_license | digama0/flypitch | 764f849eaef59c045dfbeca142a0f827973e70c1 | 2ec14b8da6a3964f09521d17e51f363d255b030f | refs/heads/master | 1,586,980,069,651 | 1,547,078,141,000 | 1,547,078,283,000 | 164,965,135 | 1 | 0 | null | 1,547,082,858,000 | 1,547,082,857,000 | null | UTF-8 | Lean | false | false | 5,325 | lean | import .fol
--local attribute [instance, priority 0] classical.prop_decidable
open fol set
universes u v
/-- Given an xs : list α, an x : α, a set T on α such that everything in xs which is not x is in T, return the sublist which excludes x, a proof that this list is now a subset of T, and a proof that everything in ... |
14696047c4d4e18a2f33f660fd04afa85601fcb3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/int/basic.lean | ac14779ac532b863f48ed8b297f005dc39784bed | [
"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 | 14,442 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker, Aaron Anderson
-/
import ring_theory.coprime.basic
import ring_theory.principal_ideal_domain
/-!
# Divisibility over ℕ and ℤ
This file collects result... |
3d12bd1ff90f5e2201f7d15cf438281245939c9c | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/data/padics/padic_norm.lean | 26b91c4dbe591501e4b98b2b132a928644dc55f3 | [
"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 | 18,557 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import algebra.gcd_domain
import algebra.field_power
import ring_theory.multiplicity
import data.real.cau_seq
/-!
# p-adic norm
This file defines the p-adic valua... |
cd7b86b40af68ac1179cc3eece4809f33d8d0513 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/tropical/big_operators.lean | 73430afedb01e75f438293177a6f43f9000c7700 | [
"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 | 4,703 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import algebra.tropical.lattice
import algebra.big_operators.basic
import data.list.min_max
/-!
# Tropicalization of finitary operations
This file provides the "... |
f474d70d104a4c5049202ce0f38feceec09e02bd | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/group_theory/group_action.lean | 6b87b731ea6ef971f0709ee91a8535d2afe34c7c | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 12,906 | 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 data.set.finite
import group_theory.coset
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
open_locale big_operators
open function
/-- Typeclass... |
54575673654632eb4850188708f2d6d1f67d1d17 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/dfinsupp.lean | f104fc9e8422332acf1ad5a36c0f8935347f5178 | [
"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 | 65,869 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau
-/
import algebra.module.pi
import algebra.module.linear_map
import algebra.big_operators.basic
import data.set.finite
import group_theory.submonoid.membership
/-... |
edc711d6b08f7a5d04cc737f351ac76d462d04f4 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/Declaration.lean | aeef19c15494f7ee3988265cb9487d92d12ef10d | [
"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 | 16,543 | 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.CollectLevelParams
import Lean.Elab.DeclUtil
import Lean.Elab.DefView
import Lean.Elab.Inductive
import Lean.Elab.Struct... |
918af3c25fd7f39e305c2e6fa71be5558395887c | 618003631150032a5676f229d13a079ac875ff77 | /src/ring_theory/fractional_ideal.lean | 8f8561806d01a2e7c479f6e87e15fce0ef365bfc | [
"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 | 20,336 | 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 ring_theory.localization
import ring_theory.principal_ideal_domain
/-!
# Fractional ideals
This file defines fractional ideals of an integral domain and proves bas... |
f1ea9e949b5aa5b60eaf55ed1547953c6c0e879a | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/algebra/group_theory.hlean | 3dc5785504e8ac82310473b8f2cd1de45adf1b90 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 26,981 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Basic group theory
-/
import algebra.category.category algebra.inf_group_theory .homomorphism types.pointed2
algebra.trunc_group
open eq algebra pointed fu... |
11282f8c663222dc9a4131f90583b3f657248b90 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/order.lean | a8d5e6d96db3ddf8c83e5a6087551487471f8d53 | [
"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 | 38,488 | 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 topology.tactic
/-!
# Ordering on topologies and (co)induced topologies
Topologies on a fixed type `α` are ordered, by reverse inclusion.
Tha... |
a9fb54f149568c90fcbeb22887f696b12d550fd3 | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /data/nat/gcd.lean | c44e0d21a9c7bf3813685400aa1605a9f5a52ce5 | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,626 | 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
Definitions and properties of gcd, lcm, and coprime.
-/
import data.nat.basic
open well_founded decidable prod
namespace nat
/- gcd -/
theorem gcd_... |
cb7a9c1da6e92a20036f16256ca5c6c82198d91e | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/data/equiv/basic.lean | 6aaa3e60a3e744fea6cf75a2a0ade3bd4cccb4da | [
"Apache-2.0"
] | permissive | LibertasSpZ/mathlib | b9fcd46625eb940611adb5e719a4b554138dade6 | 33f7870a49d7cc06d2f3036e22543e6ec5046e68 | refs/heads/master | 1,672,066,539,347 | 1,602,429,158,000 | 1,602,429,158,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 77,187 | 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, Mario Carneiro
-/
import data.set.function
import algebra.group.basic
/-!
# Equivalence between types
In this file we define two types:
* `equiv α β` a.k.a... |
882d662d235781ded8f3f30585c5b26f90fad4c7 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/hott/329.hlean | 9c5b0170f9c0765aaf6afca7f0e5e3413df6ac2f | [
"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 | 678 | hlean | open eq sigma
variables {A : Type} {B : A → Type} {C : Πa, B a → Type} {D : Πa b, C a b → Type}
{a a' a'' : A} {b b₁ b₂ : B a} {b' : B a'} {b'' : B a''} {u v w : Σa, B a}
definition path_sigma_dpair (p : a = a') (q : p ▸ b = b') : sigma.mk a b = sigma.mk a' b' :=
eq.rec_on p (λb b' q, eq.rec_on q idp) b b' ... |
54fe9fc2f85a5101f9afeb7eb7244290f46430a6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/list/basic.lean | 939c431e6d038f0493e69d46f42a3f095813629f | [
"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 | 162,960 | 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 data.nat.order.basic
/-!
# Basic properties of lists
> THIS FILE IS SYNCHRONIZED WITH... |
e50f958f98d82687a8cb526a37df4c0fac4b85fc | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/multiset/basic.lean | df31b30584315853aba4e283cd9e1c7d286d00f5 | [
"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 | 88,561 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.bool.all_any
import data.list.perm
/-!
# Multisets
These are implemented as the quotient of a list by permutations.
## Notation
We define the glob... |
acd937fa463cd040499de7bf00fdec369abe1974 | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/rewrite_search/init.lean | 2a18ac73af0563b3f4c53ddea9b2e678901b41df | [
"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 | 4,046 | lean | import .core
-- Default strategy, metric, and tracer used as a fallback by the engine (so mush be present)
import .strategy.pexplore
import .metric.edit_distance
import .tracer.unit
open tactic
namespace tidy.rewrite_search
meta def pick_default_tracer : tactic unit := `[exact tidy.rewrite_search.tracer.unit_trac... |
6d065c89539c2685c5ad3454b52744fa2469d799 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/ext_eff.lean | 0e70312f18d6cb3ec2f3ff09e792801633343a36 | [
"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 | 9,223 | lean | -- TODO: renable test after we restore tactic framework
#exit
import init.IO
/- An extensible effects library, inspired by "Freer Monads, More Extensible Effects" (O. Kiselyov, H. Ishii)
and https://github.com/lexi-lambda/freer-simple -/
def N := 100 -- Default number of interations for testing
def effect := Type... |
9b14708139ef9eaac860b837f542126ea468c15b | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/bench/rbmap500k.lean | 97fece003fe08605f37ee477dd633e38a0103bf2 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 2,837 | 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
-/
prelude
import init.coe init.data.option.basic init.system.io
universes u v w w'
inductive color
| Red | Black
inductive Tree
| Leaf {} ... |
bba622e2828962884d5c320e0b235380d7e05897 | 70f8755415fa7a17f87402cde4651e9f4db1b5bb | /src/pfunctor/default.lean | c2048d8b86cc61b071a84acda53138b2f04f81a8 | [
"Apache-2.0"
] | permissive | shingarov/qpf | ab935dc2298db12c87ac011a2e4d2c27e0bdef4b | debe2eacb8cf46b21aba2eaf3f2e20940da0263b | refs/heads/master | 1,653,705,576,607 | 1,570,136,035,000 | 1,570,136,035,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16 | lean | import .basic .M |
249fd73976e1774bdc2407986e1a8e31c1f4c3ed | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/aux_decl_zeta.lean | ea4cf2479ed512b11b872e7642860a6ce0a4bfb2 | [
"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 | 451 | lean |
inductive vec (A : Type*) : nat → Type*
| nil : vec 0
| cons : Π {n}, A → vec n → vec (n+1)
definition f : bool → Prop
| x :=
let m := 10,
n := m in
match x with
| tt := true
| ff := ∀ (x : vec nat 10) (w : vec nat n), x = w
end
set_option eqn_compiler.zeta true
definition f : bool → Prop
| x :=
l... |
119fe40e9d83928b94c525233f5b58e5a1f50764 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/hit/quotient.hlean | ec071db547800c500766dfd918ae2f8c76d89fb2 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,344 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: hit.quotient
Authors: Floris van Doorn
Declaration of set-quotients
-/
import .type_quotient .trunc
open eq is_trunc trunc type_quotient
namespace quotient
section
parameters {A ... |
294eeac52123943d3b87ed566dc2ee1bb47325a6 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/continued_fractions/computation/approximations.lean | be6c395655acc3be23e6f1bd8133a9c73d4a955b | [
"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 | 29,850 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.computation.correctness_terminating
import data.nat.fib
import tactic.solve_by_elim
/-!
# Approximations for Continued Fraction... |
c7562d6502c27df98fb7cbc438d40f070577514c | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/rewrite.lean | 2d8d39568e1d1b73251d41af066bf9cb9f4d3523 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,406 | lean | new_frontend
axiom appendNil {α} (as : List α) : as ++ [] = as
axiom appendAssoc {α} (as bs cs : List α) : (as ++ bs) ++ cs = as ++ (bs ++ cs)
axiom reverseEq {α} (as : List α) : as.reverse.reverse = as
theorem ex1 {α} (as bs : List α) : as.reverse.reverse ++ [] ++ [] ++ bs ++ bs = as ++ (bs ++ bs) := by
rw [appendNi... |
1ee5043654cf5e10bbcddc98211670dc81860de6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/group/unique_prods.lean | 7cb21d46d755b963ae96d1148571990e89d1974d | [
"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 | 9,228 | lean | /-
Copyright (c) 2022 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.finset.preimage
/-!
# Unique products and related notions
A group `G` has *unique products* if for any two non-empty finite subsets `A, B ⊂ G`, there is ... |
c228ff73754bee2672e081310edc23ffc60008f5 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/deep1.lean | 426fdd0b380b611b5d29bb946f6f243ed328c042 | [
"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 | 473 | lean | partial def recurseM [Monad μ] (curr: α) (action: α -> μ (List α)) : μ PUnit := do
let children ← action curr
children.forM (recurseM · action)
def specificTraverseList : OptionM Unit := recurseM () (fun _ => some [])
partial def recurseM2 [Monad μ] (curr: α) (action: α -> μ (Array α)) : μ PUnit := do
let child... |
fa1897b78ccd28b27bb426b60de3475673cd8ea2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/tactic/norm_num.lean | 270c402ad8de195259f7f25135c70591075803fe | [
"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 | 69,808 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Mario Carneiro
-/
import data.rat.cast
import data.rat.meta_defs
import data.int.lemmas
/-!
# `norm_num`
Evaluating arithmetic expressions including `*`, `+`, `-`, `^`, `≤`.... |
2781bff9895ebec0ed70d55e5bfe00db4beead27 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/ring_theory/free_comm_ring.lean | b5f825abdc07d925be7920fdaf8b07a05bacc3bd | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,326 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin
-/
import data.equiv.functor
import data.mv_polynomial.equiv
import data.mv_polynomial.comm_ring
import ring_theory.free_ring
/-!
# Free commutative rings
The th... |
51d16179eb2d203e8982787a7c05bc6a2d1763c3 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/analysis/normed_space/enorm.lean | 510d051071dbbc225656dc189087cd405bf29911 | [
"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 | 7,706 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.normed_space.basic
/-!
# Extended norm
In this file we define a structure `enorm 𝕜 V` representing an extended norm (i.e., a norm that can
... |
38ec317218b89e594c34c09a9782f5c77df5dd79 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/linear_algebra/dual.lean | 82bb1a32765040b162c6ca2d2edac6731ebba34a | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 10,176 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Fabian Glöckle
-/
import linear_algebra.finite_dimensional
import tactic.apply_fun
noncomputable theory
/-!
# Dual vector spaces
The dual space of an R-module M is th... |
a17546a2ce4aa7c9e7658fde1e0fc12918efc25c | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/ideal/prod.lean | 60919cd2706bd805c5730137abbb52f2cfc2d712 | [
"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 | 7,525 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import ring_theory.ideal.operations
/-!
# Ideals in product rings
For commutative rings `R` and `S` and ideals `I ≤ R`, `J ≤ S`, we define `ideal.prod I J` as the
pro... |
35763e5df0a096d732f69ec7bf2fd3361c9f9fde | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/rewrite_fail.lean | 70476c14cf04df8c71a608aff0983e740eed0893 | [
"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 | 157 | lean | open nat
example (a b : nat) (Ha : a = 0) (Hb : b = 0) : a + b = 0 :=
begin
rewrite [Ha, Ha]
end
example (a : nat) : a = a :=
begin
esimp,
esimp
end
|
465c912f8984a1bdecba72da4bf3c4085bdc73b9 | a9fe717b93ccfa4b2e64faeb24f96dfefb390240 | /logic.lean | ba3caf0c36b31caa0bad48dadaf99d14d3111860 | [] | no_license | skbaek/omega | ab1f4a6daadfc8c855f14c39d9459ab841527141 | 715e384ed14e8eb177a326700066e7c98269e078 | refs/heads/master | 1,588,000,876,352 | 1,552,645,917,000 | 1,552,645,917,000 | 174,442,914 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,345 | lean | import logic.basic data.option
open tactic
variables {α β γ : Type} {p q r s : Prop}
lemma fun_mono_2 {p : α → β → γ} {a1 a2 : α} {b1 b2 : β} :
a1 = a2 → b1 = b2 → (p a1 b1 = p a2 b2) :=
λ h1 h2, by rw [h1, h2]
lemma pred_mono_2 {p : α → β → Prop} {a1 a2 : α} {b1 b2 : β} :
a1 = a2 → b1 = b2 → (p a1 b1 ↔ p a2 b... |
8196cda6475d35ef54490793fc5c2d88a6e43ac6 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/nested_inductive.lean | c1ffab3bdeee447018b67e4a6921d8e6e7d2427a | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 2,557 | lean | set_option trace.inductive_compiler.nested.define.failure true
set_option max_memory 1000000
inductive vec (A : Type*) : nat -> Type*
| vnil : vec 0
| vcons : Pi (n : nat), A -> vec n -> vec (n+1)
namespace X1
print "simple"
inductive foo
| mk : list foo -> foo
end X1
namespace X2
print "with param"
inductive foo (... |
a18217375b499189212d1a2aef05993fcccb46f6 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/logic/weak_fan.lean | cce9f592f64a14692ed1340e1080f993051f94db | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 4,858 | 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
This file is based on Coq's WeakFan.v file
A constructive proof of a non-standard version of the weak Fan Theorem
in the formulation of which infinite paths a... |
8496b97e7c6ff171fbb9f410828710acb2e69a7f | e514e8b939af519a1d5e9b30a850769d058df4e9 | /src/tactic/rewrite_search/bundles/category_theory.lean | 8ab2754b812da04f19f35fbd472fc8e454d85f2b | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,193 | lean | import tactic.rewrite_search.discovery.bundle
import category_theory.natural_isomorphism
import category_theory.products
import category_theory.types
namespace tactic.rewrite_search.discovery
@[bundle] meta def category_theory : bundle := {}
open category_theory
attribute [search category_theory] category.id_comp ... |
504b407a5b00e41f3a6eca20c13d53f8b0652d84 | 6b10c15e653d49d146378acda9f3692e9b5b1950 | /examples/basic_skills/unnamed_596.lean | 55462a0b21c93feee3e3ed396f8e28c4509742ec | [] | no_license | gebner/mathematics_in_lean | 3cf7f18767208ea6c3307ec3a67c7ac266d8514d | 6d1462bba46d66a9b948fc1aef2714fd265cde0b | refs/heads/master | 1,655,301,945,565 | 1,588,697,505,000 | 1,588,697,505,000 | 261,523,603 | 0 | 0 | null | 1,588,695,611,000 | 1,588,695,610,000 | null | UTF-8 | Lean | false | false | 184 | lean | namespace my_ring
variables {R : Type*} [ring R]
-- BEGIN
theorem neg_add_cancel_left (a b : R) : -a + (a + b) = b :=
by rw [←add_assoc, add_left_neg, zero_add]
-- END
end my_ring |
9b021e10f699f87cc484cac597909c5110508382 | 7e64227df02adbcb36600fbf0725f39f6052bbcc | /src/yeet.lean | 1ce95c3019f8c172827fdc0b0187fd9b24f58007 | [
"MIT"
] | permissive | ocornoc/yeet | d686ee3400774cc7ac6d1517602b77ab835baa05 | 36796d756c451a7a1807e3e8714c552eca6dac65 | refs/heads/master | 1,676,263,361,122 | 1,610,192,452,000 | 1,610,192,452,000 | 326,520,706 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,433 | lean | import data.nat.digits tactic algebra.big_operators
import data.zmod.basic number_theory.quadratic_reciprocity
open_locale big_operators
def yeet (b n m : ℕ) : Prop :=
n ^ m = nat.of_digits b (nat.digits b n ++ nat.digits b m)
namespace yeet
instance (b n m : ℕ) : decidable (yeet b n m) :=
by apply nat.decidable_eq... |
892eeeb53c426f6805f271540733c5085f5c1e1f | 137c667471a40116a7afd7261f030b30180468c2 | /src/data/real/ennreal.lean | 327d1171c8d4982736c83e058a500b24270511b5 | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 62,748 | 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 Kudryashov
-/
import data.real.nnreal
import data.set.intervals
/-!
# Extended non-negative reals
We define `ennreal = ℝ≥0∞ := with_no ℝ≥0` to be the type of ext... |
0042d360c7cc0442cbdd9bb9a2bdccd23f5867ee | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/topology/instances/ennreal.lean | 7fd52b023e1cce2f7487235094949b3063f6d354 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 38,629 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.nnreal data.real.ennreal
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter metric
open_locale classical
op... |
5ed6fd54189a4dd7d49eec76cf5ee4388773a47d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/category/Top/basic_auto.lean | 9e96e27c5a30b6cca0594c841d4c3dcc2b1bd37b | [] | 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 | 2,052 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Scott Morrison, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.concrete_category.unbundled_hom
import Math... |
cde93da69ccef2eede873c3c47812c051cd8244a | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/tactic/chain.lean | 52229ca30672219faaf50c0dd57c6443be9f898f | [
"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 | 4,982 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison, Mario Carneiro
import tactic.basic
import tactic.ext
import data.option.defs
open interactive
namespace tactic
/-
This file defines a `chain` tactic, which ta... |
3f148cc269b9d4bf13294bf928a3a008771dc46b | 329788bf44a766cbceec47f6d3a91aeee20146cf | /src/tprod.lean | af6f73378f5cef5efd78ee440279482223d774e6 | [] | no_license | jamiebell2805/BSD-conjecture | ca69613bb4b0d7051575ff6a7528ccace1bf9c6b | 74aa51f13750868b7011e397576d6f8035d69360 | refs/heads/master | 1,685,937,124,285 | 1,624,744,421,000 | 1,624,744,421,000 | 364,047,425 | 7 | 0 | null | 1,624,482,924,000 | 1,620,072,330,000 | Lean | UTF-8 | Lean | false | false | 574 | lean | import tactic
import topology.instances.real
import order.filter.at_top_bot
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
noncomputable theory
open finset filter function classical
open_locale topological_space classical big_operators nnreal
variables [comm_monoid α] [topological_space α]
def has_prod (f... |
be947f8f426af461112f3918d7e1aa12c318fecd | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/lattice.hlean | 70b289766b94791073cfca5c5decc852f0ea908a | [
"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 | 4,131 | hlean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
-/
import .order
open eq
variable {A : Type}
set_option class.force_new true
/- lattices (we could split this to upper- and lower-semilattices, if needed) -/
namespace ... |
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