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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
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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b032bbf4d0153515fa1724f3227c8fd525997d99 | e030b0259b777fedcdf73dd966f3f1556d392178 | /library/init/meta/converter.lean | 997180c75e84276d746de4279c1c60c0397bf137 | [
"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 | 9,102 | 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... |
37c63a5b495471ed95b32259cf5286de770ac013 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/group_theory/nielsen_schreier.lean | b80da04143b0d6a85d4d2da568cd73ecce021f94 | [
"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 | 12,088 | lean | /-
Copyright (c) 2021 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn
-/
import category_theory.action
import combinatorics.quiver.arborescence
import combinatorics.quiver.connected_component
import group_theory.is_free_group
/-!
# The Nielsen-Sch... |
d2a84e2bd6092b6715e455c50a8153773997b974 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/fun_like/equiv.lean | 233753fd76c1f2dc9cfeb94b206d035286b7267c | [
"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 | 6,880 | 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 data.fun_like.embedding
/-!
# Typeclass for a type `F` with an injective map to `A ≃ B`
This typeclass is primarily for use by isomorphisms like `monoid_equiv` an... |
95054fa24418f46d8e675a42594f9e098bd9a4a4 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/witt_vector/truncated.lean | 22a6ad453347cdf7393336abcf977bcb072caae2 | [] | 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 | 16,085 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.witt_vector.init_tail
import Mathlib.tactic.equiv_rw
import Ma... |
83e361299f966ba930eaf51f12adbf9e0c2ea2ed | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/direct_sum/decomposition.lean | de748982c5c8ce62586922ee75872b0c9e83c7d0 | [
"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 | 8,378 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser, Jujian Zhang
-/
import algebra.direct_sum.module
import algebra.module.submodule.basic
/-!
# Decompositions of additive monoids, groups, and modules into direct sums
> THIS... |
de26a150411c2e871631bf2fc8fbac7f09d75423 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/measure_theory/simple_func_dense.lean | a7252e78f66f4c28c52eab05c2c9a73d2c429dc5 | [
"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 | 40,637 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov, Heather Macbeth
-/
import measure_theory.l1_space
/-!
# Density of simple functions
Show that each Borel measurable function can be approximated pointw... |
279387e0c9723195a8f51d529a92b458af022666 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/nat/totient.lean | d0a0e0ec4141e93e468e97fda5654fa33b480a50 | [
"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 | 3,563 | 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 algebra.big_operators data.nat.gcd
open finset
namespace nat
def totient (n : ℕ) : ℕ := ((range n).filter (nat.coprime n)).card
local notation `φ` := totient
... |
b4c8cafa43b3a9a1325a49c429223353efe94070 | a9fe717b93ccfa4b2e64faeb24f96dfefb390240 | /clause.lean | 050464898116a076cb48eaef73b1b87178a5ce80 | [] | 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 | 1,735 | lean | import .term
@[reducible] def clause := (list term) × (list term)
namespace clause
def weaker : clause → clause → Prop
| ⟨eqs1,les1⟩ ⟨eqs2,les2⟩ := eqs1 ⊆ eqs2 ∧ les1 ⊆ les2
def holds (v) : clause → Prop
| (eqs,les) :=
( (∀ t : term, t ∈ eqs → 0 = term.val v t)
∧ (∀ t : term, t ∈ les → 0 ≤ term.val v t) )... |
791e93a97ac7b573017bff3eae109561e3e64094 | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/test/amc12-2001-p21.lean | b9364b16055b7f13671c93db212415808d2b698b | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 367 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.nat.basic
import data.nat.factorial
example (a b c d : ℕ) (h₀ : a*b*c*d = nat.factorial 8) (h₁ : a*b + a + b = 524) (h₂ : b*c + b + c = 146) (h₃ : c*d + c + d = 10... |
fea5bc1f728df9cb69cb47c8fa9b5b50897abe35 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/meta/smt/ematch.lean | b47f81055005748caea3c0caea250972becd78e4 | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 7,478 | 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.meta.smt.congruence_closure
import init.meta.attribute init.meta.simp_tactic
import init.meta.interactive_base
open tactic
/-- Heuristi... |
c13a7880dce169929ca8d749a103e2581a09d49e | d450724ba99f5b50b57d244eb41fef9f6789db81 | /src/mywork/lectures/lecture_14.lean | c3d08d682809f5574ea0ecaf5236119245820719 | [] | no_license | jakekauff/CS2120F21 | 4f009adeb4ce4a148442b562196d66cc6c04530c | e69529ec6f5d47a554291c4241a3d8ec4fe8f5ad | refs/heads/main | 1,693,841,880,030 | 1,637,604,848,000 | 1,637,604,848,000 | 399,946,698 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,577 | lean | /-
Note this this file is called lecture 14,
though today, October, 6, is more than 14
course days in. The reason is that the last
two days were review Q&A in preparation for
the mid-term.
-/
/-
REVIEW INTRODUCTION AND ELIMINATION RULES FOR EXISTS.
-/
/-
LET'S PROVE A THEOREM INVOLVING EXISTS, ALL, AND NEGATION
-/
... |
de73d0d66ee61aca11878ba80be6a3ab24acc238 | e953c38599905267210b87fb5d82dcc3e52a4214 | /library/data/real/order.lean | 627b32483287fdb4cc9aeb6358da97f20fec429a | [
"Apache-2.0"
] | permissive | c-cube/lean | 563c1020bff98441c4f8ba60111fef6f6b46e31b | 0fb52a9a139f720be418dafac35104468e293b66 | refs/heads/master | 1,610,753,294,113 | 1,440,451,356,000 | 1,440,499,588,000 | 41,748,334 | 0 | 0 | null | 1,441,122,656,000 | 1,441,122,656,000 | null | UTF-8 | Lean | false | false | 36,329 | 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... |
c13951ea56b92c63ea3e199caa52a8efe038e2ed | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /data/list/perm.lean | a4a23af96999fb4227930a5c8c08f196f5168f2b | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 34,306 | 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, Mario Carneiro
List permutations.
-/
import data.list.basic
namespace list
universe variables uu vv
variables {α : Type uu} {β : Type vv}
/-... |
dcbed6a96f0e62b8e8109f6a4affc40e54b9d647 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/hash_map.lean | 60f9ec9b3f180b93201b78a43b4ad2d2515c423f | [
"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 | 29,555 | 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, Mario Carneiro
-/
import data.array.lemmas
import data.list.join
import data.list.range
import data.pnat.basic
/-!
# Hash maps
Defines a hash map data struc... |
7dce8813915851fdbede709c2cf4fd20b2ced46c | f313d4982feee650661f61ed73f0cb6635326350 | /Mathlib/Tactic/OpenPrivate.lean | feb5785b64a17c4a03b2e4af70b55a3dfd6d0b34 | [
"Apache-2.0"
] | permissive | shingtaklam1324/mathlib4 | 38c6e172eec1385944db5a70a3b5545c924980ee | 50610c343b7065e8eec056d641f859ceed608e69 | refs/heads/master | 1,683,032,333,313 | 1,621,942,699,000 | 1,621,942,699,000 | 371,130,608 | 0 | 0 | Apache-2.0 | 1,622,053,166,000 | 1,622,053,166,000 | null | UTF-8 | Lean | false | false | 4,740 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Lean.Elab.Command
import Lean.Util.FoldConsts
open Lean Parser.Tactic Elab Command
namespace Lean
def Meta.collectPrivateIn [Monad m] [MonadEnv m] [Mo... |
77e0e948f8e258e9c239a7767d49f8b7943116ed | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/int/parity.lean | a012ad282e206aa5bff477d4e236b2821ce1fa50 | [
"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 | 7,510 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Benjamin Davidson
-/
import data.nat.parity
/-!
# Parity of integers
This file contains theorems about the `even` and `odd` predicates on the integers.
## Tags
even, ... |
65d506ed9336652de70f7a073e57c59a13c81d55 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/linear_algebra/affine_space/finite_dimensional.lean | a499a38b27d1116f14159685a8e3a43a7c35fe01 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 8,393 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Joseph Myers.
-/
import linear_algebra.affine_space.independent
import linear_algebra.finite_dimensional
noncomputable theory
open_locale big_operators
open_locale classical
/-!
# Finit... |
067da1bc59ba044fc614cf7ffb7a5586ff1b739a | 130c49f47783503e462c16b2eff31933442be6ff | /stage0/src/Lean/Server/FileWorker.lean | a4037fb021b3bdf45ef614463612693f27733e45 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,550 | 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 Std.Data.RBMap
import Lean.Environment
import Lean.Data.Lsp
import Lean.Data.Json.FromToJson
import Lean.Server.Util... |
76f06a02374dc70a2306debe7c0d3ddb73b78665 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /02_Dependent_Type_Theory.org.23.lean | 33febceb4f8c80fc2df8ff8b34e4208636c6709a | [] | 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 | 246 | lean | /- page 22 -/
import standard
variables (A B C : Type)
definition compose (g : B → C) (f : A → B) (x : A) : C := g (f x)
definition do_twice (h : A → A) (x : A) : A := h (h x)
definition do_thrice (h : A → A) (x : A) : A := h (h (h x))
|
1bf62fded87ef5cf40f73c997832d1e65daaf717 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/combinatorics/simple_graph/density.lean | bf9bf9dfb761b421b337e483a8fb92cfcf1cf5a1 | [
"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 | 16,280 | lean | /-
Copyright (c) 2022 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import combinatorics.simple_graph.basic
import order.partition.finpartition
import tactic.positivity
/-!
# Edge density
> THIS FILE IS SYNCH... |
5daed3f386d63ded85f2a506e8c5b74c038f01b9 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/set/intervals/basic.lean | 46112b324b062c53b5aec45059afedbba64f5e9e | [
"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 | 28,604 | 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, Patrick Massot, Yury Kudryashov
-/
import order.lattice algebra.order_functions algebra.ordered_field tactic.tauto
/-!
# Intervals
In any preorder `α... |
14441466914c255b5f1a1c8caeeee8c9fdd70fbd | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/propext.lean | 3b0d3d44f35d20ae6321fb75adb59a7e6c78f600 | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 682 | lean | axiom propext2 {p q : Prop} : (p ↔ q) → p = q
--#check @propext2
--#check @propext
variables p q r s t : Prop
variable P : Prop -> Prop
lemma L1 : (p ↔ q) → ((r ∧ p ∧ s → t) ↔ (r ∧ q ∧ s → t)) :=
begin
intros H,
rewrite (propext2 H)
end
lemma L2 : (p ↔ q) → (P p → P q) :=
begin
intros H1 H2,
rewrite ← (prop... |
63dedead387b043bfff1cffadfef271d3bd29bf3 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/empty_match.lean | 51a5a9fe624856bafb13ed27aa5bce02e3e671ba | [
"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 | 119 | lean | open nat
definition not_lt_zero (a : nat) : ¬ a < 0 :=
assume H : a < 0,
match H with
end
#check _root_.not_lt_zero
|
f93081578b15eff217f5fccd9db71eabfa7575cf | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_topology/simplicial_object.lean | 0467fe961b36d1aefb564ed67751af0769a76ba1 | [
"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 | 24,028 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison, Adam Topaz
-/
import algebraic_topology.simplex_category
import category_theory.arrow
import category_theory.limits.functor_category
import category_the... |
99c6cc52afbc802e8708ed8c2f71d2d8205a638c | f2bd3e4fa52fd93f908a6931e81ce3febc0c115e | /.config | 3737124b6ee2d7a54439c8cfe03e0bfdad452abc | [
"MIT"
] | permissive | XDD-Sp/MT1300 | 66fff2e45606db348b1ee04205ae1cd96d801f26 | ae45637a3c907c49ee745e90e0d5d910e3cb3880 | refs/heads/main | 1,693,850,977,035 | 1,634,387,675,000 | 1,634,387,675,000 | 417,819,436 | 0 | 0 | MIT | 1,634,386,755,000 | 1,634,386,754,000 | null | UTF-8 | Lean | false | false | 266,817 | config | # 2021-10-10 ssr plus, passwall
# Automatically generated file; DO NOT EDIT.
# OpenWrt Configuration
#
CONFIG_MODULES=y
CONFIG_HAVE_DOT_CONFIG=y
# CONFIG_TARGET_sunxi is not set
# CONFIG_TARGET_apm821xx is not set
# CONFIG_TARGET_ath25 is not set
# CONFIG_TARGET_ath79 is not set
# CONFIG_TARGET_bcm27xx is not set
# CON... |
66be7264a8937d34025b746681df8fc82610cbf5 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/analysis/normed_space/banach.lean | 103f1d2a63720ac40c51bfbcf1601d782feed318 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,079 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.baire
import analysis.normed_space.operator_norm
/-!
# Banach open mapping theorem
This file contains the Banach open mapping the... |
ecbea6cf316104f37798df278e18d29b5a26ebf7 | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/ring_theory/witt_vector/structure_polynomial.lean | 51863dfdbb23d0a3b83056873c6ab35b5a8e673e | [
"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 | 12,673 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import data.matrix.notation
import field_theory.mv_polynomial
import field_theory.finite.polynomial
import number_theory.basic
import ring_theory.wi... |
f2e80c2b283e7f00f6f104daf61f9e97587b845a | 7c2dd01406c42053207061adb11703dc7ce0b5e5 | /src/solutions/01_equality_rewriting.lean | fe3d9847fad923381953fd1aa0968cd156fc2cdb | [
"Apache-2.0"
] | permissive | leanprover-community/tutorials | 50ec79564cbf2ad1afd1ac43d8ee3c592c2883a8 | 79a6872a755c4ae0c2aca57e1adfdac38b1d8bb1 | refs/heads/master | 1,687,466,144,386 | 1,672,061,276,000 | 1,672,061,276,000 | 189,169,918 | 186 | 81 | Apache-2.0 | 1,686,350,300,000 | 1,559,113,678,000 | Lean | UTF-8 | Lean | false | false | 5,718 | lean | import data.real.basic
/-
One of the earliest kind of proofs one encounters while learning mathematics is proving by
a calculation. It may not sound like a proof, but this is actually using lemmas expressing
properties of operations on numbers. It also uses the fundamental property of equality: if two
mathematical ob... |
9b742d4a33f5627f1ae10c02dadf1d0436dbbc52 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/number_theory/kummer_dedekind.lean | 789eb779ba26447fd8a890fe57218441659e658f | [
"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 | 8,343 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Paul Lezeau
-/
import ring_theory.adjoin_root
import ring_theory.dedekind_domain.ideal
import ring_theory.algebra_tower
/-!
# Kummer-Dedekind theorem
This file proves the ... |
f442e0d95bd8a27f3374407c9725eafc249b3449 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/field/opposite.lean | bb6e07c2a8747d0552ae645eed3c5622fa1b66ab | [
"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 | 2,115 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.field.defs
import algebra.ring.opposite
import data.int.cast.lemmas
/-!
# Field structure on the multiplicative/additive opposite
> THIS FILE IS SYNCHRONIZED W... |
891fe08ae09c2d18b869e102f2a606993aa6b6ea | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/algebra/group/pi.lean | 6dab665c91e740178b9d5efd7a5bd7c6ad5fdb29 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,124 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import data.pi
import data.set.function
import tactic.pi_instances
import algebra.group.hom_instances
/-!
# Pi instances for groups and monoids
This file ... |
d5cc1f90906ed76e044a48806d33f7fe1c071896 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/error_pos.lean | 9b01dda21a20b1df45f392823d39ce8db69f53f7 | [
"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 | 488 | lean | example (A : Type) (B : A → Type) (b : B) : true :=
trivial
example : ∀ (A : Type) (B : A → Type) (b : B), true :=
begin
intros, trivial
end
check λ (A : Type) (B : A → Type) (b : B), true
check λ (A : Type) (B : A → Type), B → true
check λ (A : Type) (B : A → Type) b, (b : B)
example {A : Type} {B : Type} {a₁ a... |
832915814fe86c2e39e4db647268193dd4ae3907 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/metric_space/hausdorff_distance.lean | bcf14501d29fc81f162b06bd8f53a5cac05e0ac9 | [
"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 | 32,345 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
-/
import topology.metric_space.isometry
import topology.instances.ennreal
/-!
# Hausdorff distance
The Hausdorff distance on subsets of a metric (or emetric) spa... |
4c029bf8b25c98bf1a5ee815e6824ec5420be394 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/omega/clause.lean | e54a872118b0d699cc217dcd022ce05f71f0a1f1 | [
"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 | 1,997 | lean | /- Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Definition of linear constrain clauses. -/
import tactic.omega.term
namespace omega
/-- (([t₁,...tₘ],[s₁,...,sₙ]) : clause) encodes the constraints
0 = ⟦t₁⟧ ∧ ... ∧ 0 = ⟦tₘ⟧ ∧ 0... |
f32c590316a9c948089e7a20ffb12ffbd79adccf | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/special_functions/trigonometric/angle.lean | 422c30266f8b2eaf2770d98155a479afcd3b8332 | [
"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 | 35,669 | lean | /-
Copyright (c) 2019 Calle Sönne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Calle Sönne
-/
import analysis.special_functions.trigonometric.basic
import analysis.normed.group.add_circle
import algebra.char_zero.quotient
import topology.instances.sign
/-!
# The ty... |
16ab1d171c8d1d2e5cbf71ff710e2a9a9e38eece | 6e41ee3ac9b96e8980a16295cc21f131e731884f | /tests/lean/slow/nat_bug2.lean | 883f3b33a5091c560488e0e08bfa5d0eefcf22cf | [
"Apache-2.0"
] | permissive | EgbertRijke/lean | 3426cfa0e5b3d35d12fc3fd7318b35574cb67dc3 | 4f2e0c6d7fc9274d953cfa1c37ab2f3e799ab183 | refs/heads/master | 1,610,834,871,476 | 1,422,159,801,000 | 1,422,159,801,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49,288 | lean | ----------------------------------------------------------------------------------------------------
-- Copyright (c) 2014 Floris van Doorn. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Floris van Doorn
-----------------------------------------------------------... |
82ae6f3b4ae96a9992e6c750197b4cd1edd4a0a7 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/ideal/prod.lean | 96485fbc8535e4b45a99b3fabd6461f77b2e9c55 | [
"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 | 6,131 | 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
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to ... |
07d6ac3d1649d18ed10f51db62ccd3bc51418667 | 0d7f5899c0475f9e105a439896d9377f80c0d7c3 | /src/fron_ualg.lean | f27303eeb50f470bd5ad1351eb7a46f8700e17a3 | [] | no_license | adamtopaz/UnivAlg | 127038f320e68cdf3efcd0c084c9af02fdb8da3d | 2458d47a6e4fd0525e3a25b07cb7dd518ac173ef | refs/heads/master | 1,670,320,985,286 | 1,597,350,882,000 | 1,597,350,882,000 | 280,585,500 | 4 | 0 | null | 1,597,350,883,000 | 1,595,048,527,000 | Lean | UTF-8 | Lean | false | false | 1,190 | lean | import .lang
import .forget
import .free_ralg
import .fron_ralg
import .add_rules
import .ualg
namespace rules_hom
variables {L0 : lang} {R0 : rules L0} {L1 : lang} {R1 : rules L1}
variables (ι : R0 →# R1)
variables (A : Type*) [ualg R0 A]
include ι
def fron := R1.add (ι.lhom.fron A)
namespace fron
instance : has... |
baa9f4e8502e48e71568b37eac281f192c28172b | 38ee9024fb5974f555fb578fcf5a5a7b71e669b5 | /Mathlib/Mathport/Syntax.lean | 9be04c5d0420f3e2424c14a5c11820f29531014d | [
"Apache-2.0"
] | permissive | denayd/mathlib4 | 750e0dcd106554640a1ac701e51517501a574715 | 7f40a5c514066801ab3c6d431e9f405baa9b9c58 | refs/heads/master | 1,693,743,991,894 | 1,636,618,048,000 | 1,636,618,048,000 | 373,926,241 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,483 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Lean.Elab.Command
import Lean.Elab.Quotation
import Mathlib.Tactic.Core
import Mathlib.Tactic.Ext
import Mathlib.Tactic.Find
import Mathlib.Tactic.Libra... |
34a8aefffab9bfe5dec3b1d3eab6751fb922626a | dc253be9829b840f15d96d986e0c13520b085033 | /algebra/tensor.hlean | eeb15e8ea2f962fa90f4d867fff9711ca9af7623 | [
"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 | 1,268 | 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, Egbert Rijke
Tensor group
-/
import .free_abelian_group
open eq algebra is_trunc sigma sigma.ops prod trunc function equiv
namespace group
variables {G G' : G... |
a604925d471cc7e9daac10bac1f1a744e109f3c1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/fin/tuple/basic.lean | 8deaf3f06fa08cb58ddd23482d887eb272a65ed8 | [
"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 | 27,779 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Yury Kudryashov, Sébastien Gouëzel, Chris Hughes
-/
import data.fin.basic
import data.pi.lex
import data.set.intervals.basic
/-!
# Operation on tuples
We interpre... |
a36e74755c2f84c9246f7a42e925f3a13ecf1b07 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/group_theory/submonoid/default_auto.lean | 07492864a93ccd4665cbdfd0eb64a04315afd47c | [] | 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 | 164 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.group_theory.submonoid.membership
import Mathlib.PostPort
namespace Mathlib
end Mathlib |
0b044d32a4ba3dc3de9d73454bb637b6a2730cd6 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/topology/algebra/group.lean | a4d0d7b00037d3ab0f4d2fdf3f1038f18cce9ba7 | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 14,131 | 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, Patrick Massot
Theory of topological groups.
-/
import data.equiv.algebra
import group_theory.quotient_group
import topology.algebra.monoid topology.o... |
7e87aef800fc3fc30f3052ac2256cec6893cdde4 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/pequiv.lean | ea1cf4cd9b40dc8183b1f05ac133a37c3753d311 | [
"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 | 14,090 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.set.basic
/-!
# Partial Equivalences
In this file, we define partial equivalences `pequiv`, which are a bijection between a subset of `α`
and a subset of `... |
70bc511762df2d577ae50f6f21f0d157ae299819 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Parser/Syntax.lean | 321968a12053fc9edfe9fb296072ed1be581e6c0 | [
"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 | 5,452 | 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, Sebastian Ullrich
-/
import Lean.Parser.Command
import Lean.Parser.Tactic
namespace Lean
namespace Parser
@[init] def regBuiltinSyntaxParserAttr : IO Unit :... |
23c6b081be7bc8d6771e1c2c92b5297f8dad81ce | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/specific_limits/normed.lean | 47c7d7a5d578aab9bd84e734eb3f26546dac5c48 | [
"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 | 30,228 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Sébastien Gouëzel, Yury G. Kudryashov, Dylan MacKenzie, Patrick Massot
-/
import algebra.order.field.basic
import analysis.asymptotics.asymptotics
import analysis.... |
6adc2bc36625da982410cd1761928953cee2f570 | 4c630d016e43ace8c5f476a5070a471130c8a411 | /group_theory/order_of_element.lean | 3fa91cdb8825d9ac1b2e80ff4bd4946ebe43c894 | [
"Apache-2.0"
] | permissive | ngamt/mathlib | 9a510c391694dc43eec969914e2a0e20b272d172 | 58909bd424209739a2214961eefaa012fb8a18d2 | refs/heads/master | 1,585,942,993,674 | 1,540,739,585,000 | 1,540,916,815,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,428 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.set.finite group_theory.coset
open set function
variables {α : Type*} {s : set α} {a a₁ a₂ b c: α}
-- TODO this lemma isn't used anywhere in this file, ... |
d74f6d5ebf994f560d8b785b38202991d66f66cf | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/monoidal/of_chosen_finite_products.lean | 5a9b0c48a66886025d717c9e3e231804bbacfd0a | [
"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 | 15,905 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Simon Hudon
-/
import category_theory.monoidal.braided
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.terminal
import categor... |
fd5c667f9df9877b893c32995edbad197280c952 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/separation.lean | a5bc09e356b2f04219fcb764e1b03ae3fa4cb3ae | [
"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 | 93,002 | 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.subset_properties
import topology.connected
import topology.nhds_set
import topology.inseparable
/-!
# Separation properties of topol... |
6e497e3478822b79e01566afd5646c258be0305f | c09f5945267fd905e23a77be83d9a78580e04a4a | /src/topology/algebra/group.lean | 07c16c51b71211b9dba71f2c9595a725bb87b556 | [
"Apache-2.0"
] | permissive | OHIHIYA20/mathlib | 023a6df35355b5b6eb931c404f7dd7535dccfa89 | 1ec0a1f49db97d45e8666a3bf33217ff79ca1d87 | refs/heads/master | 1,587,964,529,965 | 1,551,819,319,000 | 1,551,819,319,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,374 | 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, Patrick Massot
Theory of topological groups.
-/
import data.equiv.algebra
import group_theory.quotient_group
import topology.algebra.monoid
open clas... |
09eee3f0a11cde668b0c253d3d5979515f0c2987 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /counterexamples/phillips.lean | 0dab408f4b4878a959f3ba723a7a174ee1541659 | [
"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 | 28,534 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.hahn_banach
import measure_theory.measure.lebesgue
/-!
# A counterexample on Pettis integrability
There are several theories of i... |
9ebc3a1ede44d7604c9a18c2a6c8378ff93d7a22 | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/bitvec/rotate.lean | a847ca164ed5b88a85fb81a351076e5525b534b2 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 226 | lean | import data.bitvec
import galois.vector.rotate
namespace bitvec
variables {n : ℕ}
definition rol : bitvec n → ℕ → bitvec n := vector.rol
definition ror : bitvec n → ℕ → bitvec n := vector.ror
end bitvec
|
6125557962f6bf09ad25d68493403cd7399b2c77 | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/data/complex/exponential.lean | f940b5148ce2644dafe6dd4862e4810fa7591787 | [
"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 | 51,110 | 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
-/
import algebra.geom_sum
import data.nat.choose.sum
import data.complex.basic
/-!
# Exponential, trigonometric and hyperbolic trigonometric funct... |
56fd3522a9a4a2401b60288c7e84fd8a5178e8b2 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/listDecEq.lean | 060978784e517a3cebeae889293e50faf6ba8eae | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 788 | lean | #lang lean4
-- List decidable equality using `withPtrEqDecEq`
def listDecEqAux {α} [s : DecidableEq α] : ∀ (as bs : List α), Decidable (as = bs)
| [], [] => isTrue rfl
| [], b::bs => isFalse $ fun h => List.noConfusion h
| a::as, [] => isFalse $ fun h => List.noConfusion h
| a::as, b::bs =>
match s a b wi... |
7a86e69d2908767469c4ba7d4afe48b30c5f203f | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /docs/tutorial/category_theory/intro.lean | 238c8926aaa7f13f23603611828765b0ca73408e | [
"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 | 11,638 | lean | import category_theory.functor_category -- this transitively imports
-- category_theory.category
-- category_theory.functor
-- category_theory.natural_transformation
/-!
# An introduction to category theory in Lean
This is an introduction to the basic usage of category theory (in the mathematical sense) in Lean.
We c... |
62d1c87863b1fd5a16c9ea634a1dca93200ae9c4 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Elab/Tactic/Unfold.lean | 69ea96a5889e5125f2a1a7de12f19a6e39a2a033 | [
"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 | 1,091 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Unfold
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.Location
namespace Lean.Elab.Tactic
open Meta
def unfoldLocalDecl (de... |
d10aedee6454dada6a2a45b2479edd31c0324ad7 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/geometry/manifold/algebra/smooth_functions.lean | b4cdbb28b834193245aabd89798e6870c6b80f40 | [
"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 | 10,233 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import geometry.manifold.algebra.structures
/-!
# Algebraic structures over smooth functions
In this file, we define instances of algebraic structures over smoot... |
064bc0cddda2035fcba1325f3d86577878f790c6 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/monoidal/functor.lean | d43a48e845e3c62f58fde9850df1fb5dc101568d | [
"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 | 17,641 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison, Bhavik Mehta
-/
import category_theory.monoidal.category
import category_theory.adjunction.basic
import category_theory.products.basic
/-!
# (Lax... |
43bb538d22525da48f685853ffae6b571cae0b78 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/linear_algebra/determinant.lean | 581bbc3d9f03be18f7dd04270ccad12e9a8d3123 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,852 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Casper Putz, Anne Baanen
-/
import linear_algebra.free_module.pid
import linear_algebra.matrix.basis
import linear_algebra.matrix.diagonal
import linear... |
1550bb84cc422e0efa1f3c22ec88e8be864cb02c | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/category/monad/state/default.lean | 4e3a36a039595d508d887350b0771a0c57346d74 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,710 | lean | /- This file defines a monad transformer for state, called monad.state_t that is
similiar to the Haskell MTL type by the same name.
-/
import galois.category.monad.state.class
universe variables u v
namespace monad
/- The state transformer -/
structure state_t (s : Type u) (m : Type u → Type v) (α : Type u) :=
(... |
d7042a23e22c3272cdc8156cd9a783fe850cfd8e | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/complex/module.lean | c4e89faa5729bf19b3d8457b9926861c0e44c4d4 | [
"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 | 4,326 | 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
-/
import data.complex.basic
import data.matrix.notation
import field_theory.tower
import linear_algebra.finite_dimensional... |
da88191ccf07917d10ebe60fa3567d0304563c26 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/nat/gcd.lean | 68bdc8701bd37e217e8ccd835b3875c655bd7f42 | [
"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 | 13,511 | 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
namespace nat
/- gcd -/
theorem gcd_dvd (m n : ℕ) : (gcd m n ∣ m) ∧ (g... |
1ee79f641e46765b4233e64f007eb4c46f683e40 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/lean/string_imp.lean | 06e9b4d466ec37bfe5adb3920bdb881a0bb1da35 | [
"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 | 1,582 | lean | #exit -- Disabled until we implement new VM
#eval ("abc" ++ "cde").length
#eval "abc".popBack
#eval "".popBack
#eval "abcd".popBack
#eval ("abcd".mkIterator.nextn 2).remainingToString
#eval ("abcd".mkIterator.nextn 2).prevToString
#eval ("abcd".mkIterator.nextn 10).remainingToString
#eval ("abcd".mkIterator.nextn 10).... |
a49faa8d11f655eefad2090bd976538aaf4642f1 | 4fa118f6209450d4e8d058790e2967337811b2b5 | /src/for_mathlib/group.lean | a73b0e8837fc944b67aa09195f03d47ecce38746 | [
"Apache-2.0"
] | permissive | leanprover-community/lean-perfectoid-spaces | 16ab697a220ed3669bf76311daa8c466382207f7 | 95a6520ce578b30a80b4c36e36ab2d559a842690 | refs/heads/master | 1,639,557,829,139 | 1,638,797,866,000 | 1,638,797,866,000 | 135,769,296 | 96 | 10 | Apache-2.0 | 1,638,797,866,000 | 1,527,892,754,000 | Lean | UTF-8 | Lean | false | false | 1,730 | lean | import algebra.group data.equiv.basic
import group_theory.subgroup
import group_theory.quotient_group
import for_mathlib.equiv
variables {G : Type*} [group G]
open quotient_group
-- this one lemma is not PR'ed yet.
def mul_equiv.quot_eq_of_eq {G1 : set G} [normal_subgroup G1] {G2 : set G} [normal_subgroup G2]
(h : G1... |
ea468c14d07574a2a248efa7736ebfdd813a4831 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/interactive/editAfterError.lean | aa28b67e868e51d21841e66f068af9450b83821e | [
"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 | 75 | lean | #check tru
#check fal
--^ insert: s
--^ collectDiagnostics
|
ea19cf91b241a4b05ba67037945657840155ed98 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/list/indexes.lean | bc47dbbec6dcff379657020fdfa7bc9fd52ac7f2 | [
"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 | 7,990 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import data.list.range
/-!
# Lemmas about list.*_with_index functions.
Some specification lemmas for `list.map_with_index`, `list.mmap_with_index`, `list.foldl_with... |
fab3c57b8556d067a1ed8525ebbe7f2d21998841 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/algebra/monoid_algebra.lean | d4c5f6cdd0ca98347dcc3adafebae10731172980 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 44,760 | 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 algebra.algebra.basic
import linear_algebra.finsupp
/-!
# Monoid algebras
When the domain of a `finsupp` has a multiplica... |
4955958792226d81c9da1e9f6906fd4b9448c389 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/logic/unique.lean | 5384a49f64e38f90a6597c22da6259596cee9e0e | [
"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 | 8,296 | 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 tactic.basic
import logic.is_empty
/-!
# Types with a unique term
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a correspondi... |
c7172de9530f453055ac252c07330107d86c42f0 | bd30ef9a38da5172e55165b5cf19d92706763afa | /src/fin_group.lean | b6ad58ef575bbb513e47a9602e90a8a2b39c32c8 | [] | no_license | kendfrey/rubiks-cube-group | 8838ce34704d8d150e5feba6f1e536b3d228dd37 | 3baebd73972384294931c75d584a491eb0fbc15c | refs/heads/master | 1,671,557,772,358 | 1,601,554,362,000 | 1,601,554,362,000 | 285,715,961 | 21 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,715 | lean | import data.fin
open fin nat
def fin' := fin
variables {n : ℕ} (a b c : fin' n.succ)
instance : has_one (fin' n.succ) := ⟨(0 : fin n.succ)⟩
instance : has_mul (fin' n.succ) := ⟨((+) : fin n.succ → fin n.succ → fin n.succ)⟩
include a
private def inv : fin' n.succ :=
begin
cases a,
cases a_val,
{
exact 1,
... |
ca731c817fe985215de0691725cf104472fb19ce | 1a61aba1b67cddccce19532a9596efe44be4285f | /library/algebra/complete_lattice.lean | c7f0a70b67b444689e41f67a182a563f7a0db661 | [
"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 | 9,963 | 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
Complete lattices
TODO: define dual complete lattice and simplify proof of dual theorems.
-/
import algebra.lattice data.set.basic
open set
namespace algebra... |
5ab050e4c6e6c64596e870d7b6713209120d349b | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/discriminant.lean | eab5a926a4adc09679abd41381ff17a08d76058d | [
"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 | 14,725 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import ring_theory.trace
import ring_theory.norm
import ring_theory.integrally_closed
/-!
# Discriminant of a family of vectors
Given an `A`-algebra `B` and `b`,... |
2d606012fe40532f8e9b0e31e7527c7361f7b252 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/computability/DFA.lean | 778349df0f3039e4ae819f865dd1e4edc149fa76 | [
"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 | 4,619 | lean | /-
Copyright (c) 2020 Fox Thomson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fox Thomson
-/
import data.fintype.basic
import computability.language
import tactic.norm_num
/-!
# Deterministic Finite Automata
This file contains the definition of a Deterministic Fi... |
7c0d8cd9c015245547a5575cc2c259f2c4c32915 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_geometry/projective_spectrum/structure_sheaf.lean | d6d743bec77d11f99cb4b4e52aa4cadf8da78adc | [
"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 | 17,788 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import algebraic_geometry.projective_spectrum.topology
import topology.sheaves.local_predicate
import ring_theory.graded_algebra.homogeneous_localization
import algebraic... |
01048611a2fb1fdfab681c80ec4e2c1ff3a1fd42 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/interval.lean | 82372f13cf1bffa00d41ae8668ca8c666cd92b3d | [
"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 | 6,598 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Notation for intervals and some properties.
The mnemonic: o = open, c = closed, i = infinity. For example, Ioi a b is '(a, ∞).
-/
import .order data.set
open set
namespa... |
96612a6018a494e9c0adb3d01092bbf5a05367b6 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/meta/mk_has_reflect_instance.lean | cff1dcb415e6ff0cc46dd0cae48a0c6789c90c0a | [
"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 | 3,779 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Helper tactic for constructing a has_reflect instance.
-/
prelude
import init.meta.rec_util
namespace tactic
open expr environment list
/-- Retrieve the nam... |
891c46643191d9fd86c861831bc17e2c2b18fa1f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/unusedLet.lean | d1f0f86ffe1d8cd2c807caae319df7202e2b8fbc | [
"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 | 123 | lean | def pro := let x := 42; false
#print pro
def f : Nat → Nat
| 0 => 1
| n+1 =>
let y := 42
2 * f n
#print f
|
5267a3c6d9a37b452d2081fe69654b687b88525f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/quotient.lean | 514cef1e606862a2aaeeae821c83d54ff903e205 | [
"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 | 21,248 | 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, Kevin Buzzard, Yury Kudryashov
-/
import group_theory.quotient_group
import linear_algebra.span
/-!
# Quotients by submodules
* If `p` is a submodule ... |
78b2e4e305d6130c7b3d8c731cd5434a37436d76 | 8034095e1be60c0b8f6559c39220bd537d1f9933 | /lambda/types.lean | 972502d9482039b43bfdefa203160667472a5629 | [] | no_license | teodorov/lambda | 40c573e2dd268824641702d9f94cf61e019ae6c5 | 4dc4d595dd0ee20c59913ef0171fd33eb0d637a1 | refs/heads/master | 1,585,318,070,303 | 1,530,364,515,000 | 1,530,364,515,000 | 146,645,753 | 1 | 0 | null | 1,535,569,435,000 | 1,535,569,434,000 | null | UTF-8 | Lean | false | false | 2,053 | lean | namespace types
inductive term : Type
| var : string → term
| app : term → term → term
| lam : string → term → term
open term
def multi_lam (names : list string) (body : term) : term :=
list.foldr lam body names
def multi_app (t : term) (b : list term) : term :=
list.foldl app t b
def term_to_string : term → string... |
c69b7d41e72a58da0be302e43c7ae45d725fcead | 6df8d5ae3acf20ad0d7f0247d2cee1957ef96df1 | /notes/9.17.19.notes.lean | 4df3b6643dae2e81b7c786d50451aac2c8b5ad2d | [] | no_license | derekjohnsonva/CS2102 | 8ed45daa6658e6121bac0f6691eac6147d08246d | b3f507d4be824a2511838a1054d04fc9aef3304c | refs/heads/master | 1,648,529,162,527 | 1,578,851,859,000 | 1,578,851,859,000 | 233,433,207 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 803 | lean | /-
Namespaces: Declarative regions that provide scope to an identifier
-/
--First Namespace
namespace cs
def x := 1
#check x
#eval x
end cs
--Second Namespace
namespace oc
def x := "Hi!"
#check x
#eval x
end oc
--to evaluate variables outside of the namespace, prepend the variable with the namespace
#eval cs.x
... |
dbc7c54e79add008997f4e0c47e94e07d84d6a3c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/sorry.lean | 8685e3a5afae0963d922c7a865dd5e0dda5a4fce | [
"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 | 66 | lean | definition b : Prop :=
sorry
theorem tst : true = false :=
sorry
|
12088de2a4abd8147a35ac7d2bf7f7a9f53114a3 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/even_odd2.lean | c5f5ecb9cdd0ca9bef0c93a279d269918ed26c1a | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 487 | lean | mutual def even, odd
with even : nat → bool
| 0 := tt
| (a+1) := odd a
with odd : nat → bool
| 0 := ff
| (a+1) := even a
using_well_founded {rel_tac := λ f eqns, tactic.trace f >> tactic.trace eqns >> tactic.apply_instance}
example (a : nat) : even (a + 1) = odd a :=
by simp [even]
example (a : nat) : odd (a ... |
60156e10f9ea38178b0f4e0746c2a2639bfc2e73 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/matrix/spectrum.lean | e7f85b320877c26f6b727753fce9ecb969f35295 | [
"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 | 5,518 | lean | /-
Copyright (c) 2022 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
-/
import analysis.inner_product_space.spectrum
import linear_algebra.matrix.hermitian
/-! # Spectral theory of hermitian matrices
> THIS FILE IS SYNCHRONIZED ... |
6a1b655c0e740e0753f7dde282c534295dab83a9 | 96338d06deb5f54f351493a71d6ecf6c546089a2 | /priv/Lean/SetoidLim.lean | 4976f8337e604e90b7209f6baec78b308a0488eb | [] | no_license | silky/exe | 5f9e4eea772d74852a1a2fac57d8d20588282d2b | e81690d6e16f2a83c105cce446011af6ae905b81 | refs/heads/master | 1,609,385,766,412 | 1,472,164,223,000 | 1,472,164,223,000 | 66,610,224 | 1 | 0 | null | 1,472,178,919,000 | 1,472,178,919,000 | null | UTF-8 | Lean | false | false | 4,935 | lean | /- SetoidLim -/
import Setoid
import Mor
import Functor
import Adjunction
import Initial
set_option pp.universes true
set_option pp.metavar_args false
namespace EXE
/-
- Definition of LIMIT in SetoidCat
-/
namespace Setoid
record LimType {C : CatType} (F : C⟶SetoidCat) : Type :=
(atOb : Π(X : C), [F ... |
446b0d0a55fac9c5d67a6f9a44e7ab11652f8382 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/group_theory/congruence.lean | 1554efd9278cbf6c5550ba3790511177df7066c4 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 44,063 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import data.setoid.basic
import algebra.group.pi
import algebra.group.prod
import data.equiv.mul_add
import group_theory.submonoid.operations
/-!
# Congruence ... |
d4513fcf5555fe027fe700012d1d2fcdfbda6f23 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/ring_theory/free_ring.lean | 9c0e085f949e26d5499da01c5b8f2e154734d984 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 3,985 | 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 algebra.free_monoid group_theory.free_abelian_group data.polynomial
universes u v
def free_ring (α : Type u) : Type u :=
free_abelian_group $ free_mon... |
c94615d3dc9e918d0e869038a3399923ce828689 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/split2.lean | f5b697c9b3844fb0021104b301592493551669fc | [
"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 | 942 | lean | def f (x y z : Nat) : Nat :=
match x, y, z with
| 5, _, _ => y
| _, 5, _ => y
| _, _, 5 => y
| _, _, _ => 1
example (x y z : Nat) : x ≠ 5 → y ≠ 5 → z ≠ 5 → f x y z = 1 := by
intros
simp [f]
split
. contradiction
. contradiction
. contradiction
. rfl
example (x y z : Nat) : f x y z = y ∨ f x y ... |
f109f8daf3eaa2fdb31788effaa33d2e994f3e54 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/norm_num.lean | 9aafb5a5d4fecfc5224e8c970d04a7b1af1ccab5 | [
"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 | 62,105 | 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 tactic.doc_commands
/-!
# `norm_num`
Evaluating arithmetic expressions including *, +, -, ^, ≤
-/
un... |
406d9968489cbfc87f4b031335c8acf079e42a17 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/instances/nnreal.lean | 61821363737759913c91f6c315e7f5d5c87c1ca8 | [
"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 | 4,502 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import data.real.nnreal topology.instances.real topology.algebra.infinite_sum
noncomputable theory
open set topological_space metric
names... |
904210f49168f066889eb5b9f1707a89bc6f114f | 43390109ab88557e6090f3245c47479c123ee500 | /src/Geometry/tarski_4.lean | f53c7dc209420967bf35434253267c6cba858da6 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,897 | lean | import geometry.tarski_3
open classical set
namespace Euclidean_plane
variables {point : Type} [Euclidean_plane point]
local attribute [instance, priority 0] prop_decidable
-- Planes and Half-planes
def Bl (a : point) (A : set point) (b : point) : Prop := line A ∧ a ∉ A ∧ b ∉ A ∧ ∃ t, t ∈ A ∧ B a t b
theorem nine1 ... |
aeb48140c41a6500b80d2e8dd5a522018b5c1f33 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/print_escape_name.lean | 510c637210d610fe77841163d4cee974aa1f9388 | [
"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 | 125 | lean | constant «x.y» : false
lemma «a.b» : false := «x.y»
#print «x.y»
#print «a.b»
#check «a.b»
#print axioms «a.b» |
f89523c9ff856ca693c2803aec5ead44da1b68bf | e2fc96178628c7451e998a0db2b73877d0648be5 | /src/classes/context_free/closure_properties/permutation.lean | 3a02102a0701057b3a18fef1ad4b70543f0e0292 | [
"BSD-2-Clause"
] | permissive | madvorak/grammars | cd324ae19b28f7b8be9c3ad010ef7bf0fabe5df2 | 1447343a45fcb7821070f1e20b57288d437323a6 | refs/heads/main | 1,692,383,644,884 | 1,692,032,429,000 | 1,692,032,429,000 | 453,948,141 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 287 | lean | import classes.context_free.closure_properties.bijection
/-- The class of context-free languages is closed under permutation of terminals. -/
theorem CF_of_permute_CF {T : Type} (π : equiv.perm T) (L : language T) :
is_CF L → is_CF (permute_lang L π) :=
CF_of_bijemap_CF π L
|
d60389c4af4219920c670715478b2a6f9cbba2fa | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/finsupp/lex.lean | 9178940be7caeb94c20b16c1b5cdf533224250a0 | [
"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 | 5,804 | 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.pi.lex
import data.finsupp.order
import data.finsupp.ne_locus
/-!
# Lexicographic order on finitely supported functions
This file defines the lexicographi... |
ca924a7bc0b948e1ab7fb6a98f69518484ee90a3 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/homotopy/freudenthal.hlean | 65507312af130a16931a42e2e47ce11bf5ca9386 | [
"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 | 11,784 | 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
The Freudenthal Suspension Theorem
-/
import homotopy.wedge homotopy.circle
open eq is_conn is_trunc pointed susp nat pi equiv is_equiv trunc fiber trunc_index
n... |
f66301566754fd16d65db13dca52cd6039abada0 | e030b0259b777fedcdf73dd966f3f1556d392178 | /library/init/data/option/basic.lean | a483a19fb06370f7742ac8e26543f0a43b77ed36 | [
"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 | 3,344 | 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
-/
prelude
import init.logic init.category
open decidable
universe variables u v
namespace option
def to_monad {m : Type → Type} [monad m] [alternative m] {... |
47a5b65c75bb9aeabf386acd0a14721f4b82957c | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /tests/lean/run/toFromJson.lean | 0bab2b9329c53149d73621e4ec963437a0f6be42 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,117 | lean | import Lean
open Lean
open Lean Parser Term
declare_syntax_cat json
syntax strLit : json
syntax numLit : json
syntax "{" (Lean.Parser.ident ": " json),* "}" : json
syntax "[" json,* "]" : json
syntax "json " json : term
/- declare a micro json parser, so we can write our tests in a more legible way. -/
open Json in... |
ae37d9029674392ea6645eb5eeb3ac9e92b76cef | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/roots_of_unity_auto.lean | b1c0a267067d90b0ca6b5a0da1c6baefd42e0c51 | [] | 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 | 22,263 | lean | /-
Copyright (c) 2020 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.nat.parity
import Mathlib.data.polynomial.ring_division
import Mathlib.group_theory.or... |
1c4320c9c119837f9a8a5e0d50424c85fe38918d | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/init/category/alternative.lean | c5e313c0a333f04dac1a45029ea32c7562e4bbf1 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,115 | 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.logic init.category.applicative
universes u v
class has_orelse (f : Type u → Type v) : Type (max u+1 v) :=
(orelse : Π {α : Type u}, f ... |
b7ba1f08c5679a7cbeb687765cd3aa013e646ea5 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/category/FinBoolAlg.lean | a6a1960a6ed5dfd4855e893b3481859a32291e4b | [
"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 | 3,564 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.category.BoolAlg
import order.category.FinPartialOrder
import order.hom.complete_lattice
/-!
# The category of finite boolean algebras
This file defines `F... |
859aef56855569187a05a55965d5f7d4209843e4 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/matrix/basic.lean | 48d050229e9f322eca074efc339b5e29dd79ba89 | [
"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 | 44,361 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
-/
import algebra.big_operators.pi
import algebra.module.pi
import algebra.module.linear_map
import algebra.big_operator... |
1ee15ca6fc45d42e650156e40147eec06eb3a54f | 0d22ec5e0205ec4203aae2ddf07e1f695ff21a61 | /src/step3_derivations.lean | 10a8e770d837111801ef847ddc29bc86e42d2481 | [
"Apache-2.0"
] | permissive | shingtaklam1324/step3-06-q8-lean | 4611fda6b002797d38d3f625253960dcfeb2a987 | 20e5161fab8b5c3c2dd051bd707a26f1dc50dac2 | refs/heads/master | 1,649,936,589,910 | 1,585,242,273,000 | 1,585,242,273,000 | 250,318,324 | 2 | 0 | Apache-2.0 | 1,585,389,271,000 | 1,585,241,690,000 | Lean | UTF-8 | Lean | false | false | 1,126 | lean | import data.polynomial
data.real.basic
polynomial_derivations
-- set_option profiler true
section step
open polynomial
parameters Δ : polynomial ℝ → polynomial ℝ
parameter Δ1 : Δ X = C 1
parameter Δ2 : ∀ (f g : polynomial ℝ), Δ(f + g) = Δ f + Δ g
parameter Δ3 : ∀ (k : ℝ) (f : polynomial ℝ), Δ(C k * f... |
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