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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8fd5ef086982dd12e54cac13f04ae2cfbbd8accd | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/abelian/exact.lean | 7fcfc6ebf5cf057f1ff49ad6e952fbc08fd77f01 | [
"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 | 13,125 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Adam Topaz, Johan Commelin, Jakob von Raumer
-/
import category_theory.abelian.opposite
import category_theory.limits.constructions.finite_products_of_binary_products
imp... |
7e89996e0f22e974b8e53db94a2e6b7220833c18 | 9d2e3d5a2e2342a283affd97eead310c3b528a24 | /src/exercises_sources/tuesday/afternoon/logic.lean | 5dcc860df4f96e2dbcfde963a2e02ebe41cca363 | [] | permissive | Vtec234/lftcm2020 | ad2610ab614beefe44acc5622bb4a7fff9a5ea46 | bbbd4c8162f8c2ef602300ab8fdeca231886375d | refs/heads/master | 1,668,808,098,623 | 1,594,989,081,000 | 1,594,990,079,000 | 280,423,039 | 0 | 0 | MIT | 1,594,990,209,000 | 1,594,990,209,000 | null | UTF-8 | Lean | false | false | 5,598 | lean | /-
Lean for the Curious Mathematician
Tuesday, July 14, 2020
13:00 session
Happy Bastille Day!
-/
import data.real.basic
/-! ## Logic -/
/-!
### Agenda
- a quick overview of Lean's tactics for dealing with logical connectives
- continue with Patrick Massot's tutorial
After the overview, I will ask you to tell us h... |
00fb90b022d53b36320db27916600a8729e74fd7 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/init/meta/inductive_compiler.lean | bdb4c98f73993b7cf2a7f6994a857de30960029e | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,394 | lean | /-
Copyright (c) 2017 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
-/
prelude
import init.meta.tactic init.meta.simp_tactic init.meta.rewrite_tactic init.meta.converter init.function
namespace inductive_compiler
namespace tactic
open tac... |
6fb6a8b15aa12669afd3d877b8f8191168f61ceb | 4fa161becb8ce7378a709f5992a594764699e268 | /src/analysis/analytic/composition.lean | fe1dfb414b8965fd6d12ed248338ee3d7a9807c7 | [
"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 | 56,625 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Johan Commelin
-/
import analysis.analytic.basic
import combinatorics.composition
/-!
# Composition of analytic functions
in this file we prove that the composi... |
0363542014b50416b4be47e26e5648d207090dcd | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Util/Constructions.lean | 0d7abe401d20fe09aefaeb09a6554b98ba05e57b | [
"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 | 961 | 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.Environment
namespace Lean
@[extern "lean_mk_cases_on"] constant mkCasesOn (env : Environment) (name : @& Name) : Environment := env
@[extern ... |
b372a3fa76a0dc5b8672a446444732d51d6946ae | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/rewrite8.lean | 3818cb050e5f6753c5b5f864d54e1d0e5f45fe9c | [
"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 | 192 | lean | import data.nat
open nat
constant f : nat → nat
theorem tst1 (x y : nat) (H1 : (λ z, z + 0) x = y) : f x = f y :=
by rewrite [▸* at H1, ^add at H1, ^nat.rec_on at H1, ^of_num at H1, H1]
|
4104009310d74714ce9b315338d232fd72320d3c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/special_functions/compare_exp.lean | c48a5ca404fbdacf3770ec470d6e167f0a863de7 | [
"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 | 9,271 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.special_functions.pow.asymptotics
import analysis.asymptotics.asymptotic_equivalent
import analysis.asymptotics.specific_asymptotics
/-!
# Growth e... |
0dfbe612f3f07ff32fde9b8bd72d6a069497e3b2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/rel.lean | 648ba5244df3179661145fd941188b5c9061265e | [] | 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 | 8,357 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Operations on set-valued functions, aka partial multifunctions, aka relations.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.latt... |
3b84cfe08f476c6e15db65437e2465db88e29bc2 | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/algebra/free_algebra.lean | f9b0fe9eafebdc729932331ababe17de655f817d | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,767 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison, Adam Topaz.
-/
import algebra.algebra.subalgebra
import algebra.monoid_algebra
import linear_algebra
import data.equiv.transfer_instance
/-!
# Free Algebras
Given a commut... |
58597acd76df4ba03772969895d4bbe9a009a4ab | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/multiset/bind.lean | 1942de94367d9bc25de3af4056e6621bc7ccde1e | [
"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 | 9,275 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.big_operators.multiset
/-!
# Bind operation for multisets
This file defines a few basic operations on `multiset`, notably the monadic bind.
## Main ... |
f901df65d8382302c78ad4a0c06994e5102e5405 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/class_instance_param.lean | a870e9637f06e34fa68d612e304e87900b584743 | [
"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 | 282 | lean | universes u
class densely_ordered (α : Type u) [preorder α] : Prop :=
(dense : ∀ a c : α, a < c → ∃ b, a < b ∧ b < c)
-- [preorder α] should be instance implicit in all of the following:
#check @densely_ordered
#check @densely_ordered.mk
#check @densely_ordered.dense
|
6d38a6ce3dffb4f30398d9b1be507e37d7d4ad28 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/clifford_algebra/equivs.lean | 97143343bc02f58cebd598788fae6b38ab41df42 | [
"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 | 15,063 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.quaternion_basis
import data.complex.module
import linear_algebra.clifford_algebra.conjugation
import algebra.dual_number
import linear_algebra.quadratic_for... |
f8d698609802ea1713732c1072aed4de8407fcd1 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/ex2.lean | 15656a7752eff3aa6ddfa96a4a1a9ebf8dc6686b | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 374 | lean | -- comment
print true
set_option lean::pp::notation false
print true && false
set_option pp::unicode false
print true && false
variable a : Bool
variable a : Bool
variable b : Bool
print a && b
variable A : Type
check a && A
print environment 1
print options
set_option lean::p::notation true
set_option lean::pp::notati... |
23b448d98622f0b955acde247330bd95d197b853 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /tests/examples.lean | 801817d5a901bf2ce7e10b1587b558b831206f67 | [
"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 | 1,695 | lean | open tactic
universe u
variable {α : Type}
example (s t u : set ℕ) (h : s ⊆ t ∩ u) (h' : u ⊆ s) : u ⊆ s → true :=
begin
dunfold has_subset.subset has_inter.inter at *,
-- trace_state,
intro1, triv
end
example (s t u : set ℕ) (h : s ⊆ t ∩ u) (h' : u ⊆ s) : u ⊆ s → true :=
begin
delta has_subset.subset has_inte... |
821710a49a78938e52317b6c807d4012f304ad23 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/int/basic.lean | ce48052195d647fd6614f9118b4b18fa49d01316 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 56,025 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
import data.nat.basic
import algebra.order_functions
open nat
namespace int
instance : inhabited ℤ := ... |
2b8595b6f87f8ec7aa56341f9eaa106a3fef5878 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/emptyTypeAscription.lean | d63daff3a4818074ff880a5217944df393221c2e | [
"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 | 533 | lean | example : Nat := ( .zero : Nat)
example : Nat := ( .zero : _)
example : Nat := ( .zero :) -- fail
example : Nat := by have' := .zero; exact this -- fail
def add (x y : Nat) := x + y
example (h₁ : z = x + y) (h₂ : w = z) : w = add x y := have := h₁ ▸ h₂; by exact this
example (h₁ : z = x + y) (h₂ : w = z) : w = add x ... |
92023cc5c36985d7b588b6acebbda58ae587d681 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /03_Propositions_and_Proofs.org.14.lean | 56289c34ae6c84a50e05705e744458922027ae2c | [] | 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 | 177 | lean | /- page 37 -/
import standard
theorem t1 (p q : Prop) (Hp : p) (Hq : q) : p := Hp
variables p q r s : Prop
-- BEGIN
premise H : r → s
check t1 (r → s) (s → r) H
-- END
|
fa25adde124fadc7f4895c47162cda13cc9158a3 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/have6.lean | ea3ca93dc09bb354afe525b2dfa12dd7a72c49fa | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 651 | lean | definition Prop : Type.{1} := Type.{0}
constant and : Prop → Prop → Prop
infixl `∧`:25 := and
constant and_intro : forall (a b : Prop), a → b → a ∧ b
constants a b c d : Prop
axiom Ha : a
axiom Hb : b
axiom Hc : c
check
have a ∧ b, from and_intro a b Ha Hb,
have [visible] b ∧ a, from and_intro b a Hb Ha,
have H :... |
1d7d83be8a317ed575129ad9c3dbd98b6789f80a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/localization/ideal.lean | 93a871f3285fd84c25b74837e9a6cf9bcbb13fac | [
"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 | 9,694 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import ring_theory.ideal.quotient_operations
import ring_theory.localization.basic
/-!
# Ideals in localization... |
73dbe6b1a15e5ed24c4f1c277a72043c735749bd | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/measure_theory/integral/circle_transform.lean | 36b42bcf906b16da337764a72f8c43abb7744693 | [
"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 | 7,801 | lean | /-
Copyright (c) 2022 Chris Birkbeck. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Birkbeck
-/
import analysis.complex.cauchy_integral
import analysis.analytic.basic
import analysis.calculus.parametric_interval_integral
import data.complex.basic
import measure_... |
e1fcd1dd6ffbf4ddba7fafb3d039cde3d08ef77d | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/calc_heq_symm.lean | e6172a48e92b90e4f0a125429267a497e8e8eaee | [
"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 | 324 | lean | theorem tst {A B C D : Type} {a₁ a₂ : A} {b : B} {c : C} {d : D}
(H₀ : a₁ = a₂) (H₁ : a₂ == b) (H₂ : b == c) (H₃ : c == d) : d == a₁ :=
calc d == c : heq.symm H₃
... == b : heq.symm H₂
... == a₂ : heq.symm H₁
... = a₁ : eq.symm H₀
reveal tst
print definition tst
|
20f6cf5c4771c8b0e4e5e90e36f184aceadb99ac | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Lean/Meta/Match/Match.lean | 559b252eedd83df5dc1b56d6c472b5dca34fb872 | [
"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 | 30,477 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.CollectLevelParams
import Lean.Meta.Check
import Lean.Meta.Closure
import Lean.Meta.Tactic.Cases
import Lean.Meta.GeneralizeTelescope
impor... |
958340bc9ec691fecc3af84ff72e377497cea972 | 1a61aba1b67cddccce19532a9596efe44be4285f | /tests/lean/hott/615.hlean | 74c5d0c1abcbc50ad4d9075945f5a35606a936c9 | [
"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 | 484 | hlean | -- HoTT
import hit.circle
open circle eq int pi
attribute circle.rec circle.elim [recursor 4]
protected definition my_code (x : circle) : Type₀ :=
begin
induction x,
{ exact ℤ},
{ apply ua, apply equiv_succ}
end
protected definition my_decode {x : circle} : my_code x → base = x :=
begin
induction x,
... |
60ef7cb8a7b232b173e08fe049e5afcd5e7418f6 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/nativeReflBackdoor.lean | 89e011a03fd5247a34e4f9f41ba07d2163fa6a05 | [
"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 | 1,021 | lean | new_frontend
/-
This example demonstratea that when we are using `nativeRefl!`,
we are also trusting the correctness of `implementedBy` annotations,
foreign functions (i.e., `[extern]` annotations), etc.
-/
def g (b : Bool) := false
/-
The following `implementedBy` is telling the compiler
"trust me, `g` does implemen... |
16a2ffbe98638e3e0d5b221fcaf66ed1bd3f2c6b | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/basics/unnamed_1435.lean | f974d2a88a9bff97204bf6bd25f591657ee6cf30 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 203 | lean | import data.real.basic
variables a b c d : ℝ
-- BEGIN
#check (min_le_left a b : min a b ≤ a)
#check (min_le_right a b : min a b ≤ b)
#check (le_min : c ≤ a → c ≤ b → c ≤ min a b)
-- END |
cb263e8815f0deb938280427205dda32d1efc573 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/number_theory/zsqrtd/gaussian_int.lean | 66a9a7c1451b3b8db5767f1362be9bef0f440126 | [
"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 | 12,767 | 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 number_theory.zsqrtd.basic
import data.complex.basic
import ring_theory.principal_ideal_domain
import number_theory.legendre_symbol.quadratic_reciprocity
/-!
# Gau... |
d8ad6b3100ed82dd27bb400f52a6ab191b9f04b7 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/ex.lean | 965fa4d87eee91b80cade7b5d385aee64156053e | [
"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 | 90 | lean | import standard
set_option pp.implicit true
check ∃x, x = (0:num)
check ∃x:num, x = 0
|
db8e2c7d94955944418db7787f4b2b72b7a7551b | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/full.lean | 351a2a875c560840d9a8372d0028433078e738a6 | [
"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 | 106 | lean | namespace foo
constant x : nat
#check x
#check x
set_option pp.full_names true
#check x
end foo
|
a4e04c14436b4b465a62d81f2cc5e50a01a59a0c | 947b78d97130d56365ae2ec264df196ce769371a | /tests/playground/forIn.lean | 3cc618da7b4730214048201e772870583a7fec86 | [
"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 | 4,537 | lean | new_frontend
namespace ForIn
inductive Step.{u} (α : Type u)
| done : α → Step α
| yield : α → Step α
class Fold.{u, v, w, z} (m : Type w → Type z) [Monad m] (α : outParam (Type u)) (s : Type v) : Type (max v u z (w+1)):=
(fold {β : Type w} (as : s) (init : β) (f : α → β → m (Step β)) : m β)
export Fold (fold)
cl... |
f3cbd5a7dadcca00c7ec36bc6974f527b1872cc3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/probability/probability_mass_function/uniform.lean | 42fbd7618dc161373f7996608db1f79515229c90 | [
"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 | 7,255 | lean | /-
Copyright (c) 2022 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import probability.probability_mass_function.constructions
/-!
# Uniform Probability Mass Functions
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file re... |
b89f88492cfc388f06f1adf2cb005cdd553efe4a | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/eq17.lean | db084c7523b60298fed16fe9e8237886d03f9d50 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 204 | lean | open nat
definition lt_of_succ : ∀ {a b : nat}, succ a < b → a < b,
lt_of_succ (lt.base (succ a)) := lt.trans (lt.base a) (lt.base (succ a)),
lt_of_succ (lt.step h) := lt.step (lt_of_succ h)
|
7b44030ffb0e3a197470d694218351cedfb284e7 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /archive/imo/imo1981_q3.lean | e65a97066dca3c16ae971b0ba330a46b440be247 | [
"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 | 6,978 | lean | /-
Copyright (c) 2020 Kevin Lacker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker
-/
import data.nat.fib
import tactic.linarith
/-!
# IMO 1981 Q3
Determine the maximum value of `m ^ 2 + n ^ 2`, where `m` and `n` are integers in
`{1, 2, ..., 1981}` and ... |
41e7c490d1e55c1055c07406bdbfed6675969168 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/int/gcd.lean | 44d63ee3ba775c2fd9933f628cee49944a60da91 | [
"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 | 14,573 | 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 .div data.nat.gcd
open eq.ops
namespace int
/- gcd -/
definition gcd (a b : ℤ) : ℤ :=... |
753c2db64406f13ff42d7b8c72f2b30374100d0b | fe7174aadb02f3f5a6781c52facd5ebcbb35105c | /src/15_Formal_Languages/00_intro.lean | 8c4ac1c195db67de72bff71aa3af0f0415cd72b9 | [] | no_license | tcmch/cs-dm-lean | 1ea180c6ff15e4e9a3ea78f2608506924e34e922 | 16ef75c7e68077e265441acc16cf5fe643db911b | refs/heads/master | 1,586,377,195,552 | 1,544,118,724,000 | 1,544,118,724,000 | 159,694,678 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,566 | lean | /-
A logic is a "formal language" that has
a mathematically defined syntax and a
mathematically defined semantics. The
semantics in turn depends on an intended
"real-world interpretation" of the basic
symbols in a given logical expression.
Consider for example this proposition
∀ p : Person, ∃ m: Person, motherOf p m. ... |
22a5efc7887f34c8e708981f6d6b025b876bdaba | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/Main.lean | f022ac9af49f32a170f760b1d0bf9c90487c51c5 | [
"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 | 600 | 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.Compiler.LCNF
namespace Lean.Compiler
/--
Run the code generation pipeline for all declarations in `declNames`
that fulfill the requirements of... |
1e273edce29b54b9569c9a9ab8a4c1a3dfa0f400 | 367134ba5a65885e863bdc4507601606690974c1 | /src/tactic/congr.lean | eac6ef1fd90bd40ccdcb591e090dbcf948509ecc | [
"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 | 8,196 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.lint
import tactic.ext
/-!
# Congruence and related tactics
This file contains the tactic `congr'`, which is an extension of `congr`, and various ... |
ec2f52633e28616bce6b47a8b80591635999f043 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/pnat/xgcd.lean | ddab8dbfddd4d15ecbe781662c373ea9d778b4b7 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 13,418 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Neil Strickland
This file sets up a version of the Euclidean algorithm that works
only with natural numbers. Given a, b > 0, it computes the unique
system (w, x, y, z, d) such that ... |
08e4e02f61adc10fd7f1f4d7e90b0c700ec402ff | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/preadditive/biproducts.lean | c0329a4b857af5e4ac1595f584cb7c7d880bab46 | [
"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 | 11,434 | 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 tactic.abel
import category_theory.limits.shapes.biproducts
import category_theory.preadditive
/-!
# Basic facts about morphisms between biproducts in preaddi... |
b666bf76f1934f645ba9dc8211f7c46c80f3a52b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/pfunctor/multivariate/M_auto.lean | b5ee2458a59b17cefdcf152972bf7616798ee8f8 | [] | 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 | 11,142 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Mario Carneiro, Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.pfunctor.univariate.default
import Mathlib.data.pfunctor.mul... |
89375a8cb2ee8634f56796c948518a0fdaffccee | 934eae675a9d997202bb021816325184e7d694aa | /_notes/Languages/lean/myproject/Main.lean | 9e038ea6fd41d629eff22c8986bdeb1c8e8f9a60 | [] | no_license | philzook58/philzook58.github.io | da78841df4ffd9a19c81e0eab833983d95a64b70 | 76000a5847bd6ee41dff25937ae916835bbcf03f | refs/heads/master | 1,692,951,958,916 | 1,692,631,945,000 | 1,692,631,945,000 | 91,513,884 | 9 | 4 | null | 1,677,330,791,000 | 1,494,977,989,000 | Jupyter Notebook | UTF-8 | Lean | false | false | 103 | lean | import «Myproject»
import Std.Data.List.Basic
def main : IO Unit :=
IO.println s!"Hello, {hello}!"
|
cbd4a398f8c6d0a3847e88163f7904cc0c64efa2 | 675b8263050a5d74b89ceab381ac81ce70535688 | /src/topology/algebra/infinite_sum.lean | 57458a23a31b86d9dcdd48c409af24c8845489d2 | [
"Apache-2.0"
] | permissive | vozor/mathlib | 5921f55235ff60c05f4a48a90d616ea167068adf | f7e728ad8a6ebf90291df2a4d2f9255a6576b529 | refs/heads/master | 1,675,607,702,231 | 1,609,023,279,000 | 1,609,023,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41,991 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.intervals
import topology.instances.real
import topology.algebra.module
import data.indicator_function
import data.equiv.encodable.lattic... |
fc219503c72155a332902d5235cae3e4f82702a1 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Elab/Level.lean | 01780bf4cfd33ac45e51f58fd7ba931380d15257 | [
"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 | 2,541 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.LevelDefEq
import Lean.Elab.Exception
import Lean.Elab.Log
namespace Lean
namespace Elab
namespace Level
structure Context :=
(ref ... |
f48cfb7495a884b9e63f7d51109d14a2ee8eb089 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/linear_algebra/finsupp.lean | 4af4d4f17f0ad211a12bf343628e0b1b44ac6a96 | [
"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 | 30,017 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.finsupp.basic
import linear_algebra.basic
/-!
# Properties of the module `α →₀ M`
Given an `R`-module `M`, the `R`-module structure on `α →₀ M` is defin... |
04915f91561731a50caeb9eb3161b0aae33d1a6c | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch6/ex0407.lean | 423d69ca7b463f73448406ecda4660bfcc56f63f | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 290 | lean | variable {α : Type*}
def is_prefix (l₁ : list α) (l₂ : list α) : Prop :=
∃ t, l₁ ++ t = l₂
infix ` <+: `:50 := is_prefix
attribute [simp, refl]
theorem list.is_prefix_refl (l : list α) : l <+: l :=
⟨[], by simp⟩
example : [1, 2, 3] <+: [1, 2, 3] := by reflexivity
|
d2e7e1d7bff82c136e42d5ca345c108250c7a353 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/set_theory/game/domineering.lean | dd6f0a0a8ef4821e7c59a47860826c8e046af1ff | [
"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 | 7,534 | 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 set_theory.game.state
/-!
# Domineering as a combinatorial game.
We define the game of Domineering, played on a chessboard of arbitrary shape
(possibly even ... |
3590c16f67e56295343c23b940f0f02850d165e1 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/preadditive/projective.lean | 89e532ada0046757541c2ec7b14ec06b311019cc | [
"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 | 6,439 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import algebra.homology.exact
import category_theory.types
/-!
# Projective objects and categories with enough projectives
An object `P` is called pro... |
25beb92909c08e34faa374e092635f4be70769a1 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/field_theory/algebraic_closure.lean | f7a1edffc371e352c9af20035d5d75b40cd6481c | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,373 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.direct_limit
import field_theory.splitting_field
import analysis.complex.polynomial
/-!
# Algebraic Closure
In this file we define the typeclass for algebraic... |
35cfab7a42af981f8640089c089c7f77af2d59ee | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/differential_object.lean | 0028bf77ce6861a6d937e48c4af8e2651eb22348 | [
"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 | 10,233 | 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 category_theory.shift
import category_theory.concrete_category
/-!
# Differential objects in a category.
A differential object in a category with zero morphi... |
d5b3d67a3011537c7ae9a5f9b3109b124b58f6c3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1289.lean | a5c9feefaa06635cd02255ed2025831a7332e66c | [
"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 | 866 | lean | def _root_.Nat.mod2 : Nat → Nat
| n+2 => n.mod2
| n => n
protected def _root_.Nat.mod3 : Nat → Nat
| n+2 => n.mod3
| n => n
private def _root_.Nat.mod4 : Nat → Nat
| n+2 => n.mod4
| n => n
#exit
inductive Foo.Bla.T where
| s : T → T
| z
namespace AAA.BBB.CCC
def _root_.Foo.Bla.T.toNat₁ : Foo.Bla.T... |
421a536c1d0737bac1d0d0bf346ab10500a49e24 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/task_test.lean | f51897ce534f3bd70d34f9d69847c6dca9f9b08f | [
"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 | 495 | lean |
def g (x : Nat) : Nat :=
dbgTrace ("g: " ++ toString x) $ fun _ =>
x + 1
def f1 (x : Nat) : Nat :=
dbgSleep 1000 $ fun _ =>
dbgTrace ("f1: " ++ toString x) $ fun _ =>
g (x + 1)
def f2 (x : Nat) : Nat :=
dbgSleep 100 $ fun _ =>
dbgTrace ("f2: " ++ toString x) $ fun _ =>
g x
def tst (n : Nat) : IO UInt32 :=
l... |
2976203ccbbad8bd3faef4e3744269685f4c1c07 | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/analysis/specific_limits.lean | 4939b405e9f8423a1b43224ee193bdcb52fad644 | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 7,404 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
A collection of specific limit computations.
-/
import analysis.normed_space.basic
import topology.instances.ennreal
noncomputable theory
local attribute [instance] cl... |
58c2eb0ef6c1c0dfebb4dbddd49c3907208145bf | 6fbf10071e62af7238f2de8f9aa83d55d8763907 | /answers/hw4.lean | 723a38bdd0f1b7685fa91fb93f350a048cf6b086 | [] | no_license | HasanMukati/uva-cs-dm-s19 | ee5aad4568a3ca330c2738ed579c30e1308b03b0 | 3e7177682acdb56a2d16914e0344c10335583dcf | refs/heads/master | 1,596,946,213,130 | 1,568,221,949,000 | 1,568,221,949,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,468 | lean | /-
0. Read the class notes through Section
3.7, Implication. It is important that
you do this before classes next week, as
we will move somewhat quickly through a
few of these chapters.
To complete the rest of this homework,
solve the problems given as specified,
then save and submit this file.
-/
/-
1.
Show tha... |
7fff3e8eb3b490e1ab252f85c5e96b7e90be034b | e151e9053bfd6d71740066474fc500a087837323 | /src/hott/types/equiv.lean | 4b21eaeb9b873693571e07498230997fe8c7dda1 | [
"Apache-2.0"
] | permissive | daniel-carranza/hott3 | 15bac2d90589dbb952ef15e74b2837722491963d | 913811e8a1371d3a5751d7d32ff9dec8aa6815d9 | refs/heads/master | 1,610,091,349,670 | 1,596,222,336,000 | 1,596,222,336,000 | 241,957,822 | 0 | 0 | Apache-2.0 | 1,582,222,839,000 | 1,582,222,838,000 | null | UTF-8 | Lean | false | false | 13,284 | 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
Ported from Coq HoTT
Theorems about the types equiv and is_equiv
-/
import .fiber .arrow ..arity ..prop_trunc ..cubical.square .pointed
universes u v w
hott_theory
... |
7f33c6048f9f9cb85ce5ceb164cdaee92f962b4d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finsupp/pointwise.lean | 17a4c91e3e405349443393bed5bed0715ae8eb0f | [
"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 | 3,758 | 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 data.finsupp.basic
/-!
# The pointwise product on `finsupp`.
For the convolution product on `finsupp` when the domain has a binary operation,
see the type sy... |
c877c0fbb572365b526504844e9f9690bd8d964b | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/polynomial/algebra_map.lean | 35f1c6d962b37e5b0b95bac0b9c99f9aaefe060d | [
"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 | 7,676 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.eval
/-!
# Theory of univariate polynomials
We show that `polynomial A` is an R-algebra when `A`... |
5c88af64514b0d044e69e61b6b8bf72955368943 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/analysis/asymptotics.lean | 3701c0f766d211bfa7144bbee328b5eacee10d13 | [
"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 | 50,127 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Yury Kudryashov
-/
import analysis.normed_space.basic
import topology.local_homeomorph
/-!
# Asymptotics
We introduce these relations:
* `is_O_with c f g l` : "f is bi... |
943724993ef8139f0660327c4565d9826db09bca | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/trace_crash.lean | 9de236f29e97f3e6e5a5f582a7b2cb97af205171 | [
"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 | constant f : nat → nat → nat
constant fax1 : ∀ x, f x x = f x 0
constant fax2 : ∀ x, f x 0 = x
set_option trace.type_context.is_def_eq true
example (a : nat) : f a a = a :=
by simp [fax1, fax2]
|
1c74105e4ffd5b0aae342e61fb0715eaabf242ed | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Lean/MonadEnv.lean | 1ee4595cb3bfec44c2a666516cbc0f29a2284bb3 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,364 | 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.Environment
import Lean.Exception
import Lean.Declaration
import Lean.Util.FindExpr
import Lean.AuxRecursor
namespace Lean
def setEnv [MonadEn... |
c6d99bfb2badf90d3502b3c37442be330a2755cb | 5cb186111bc6de231aef3b26698e9235da128bb0 | /hygiene.lean | c7bb45861f9e986b1b170f46d586f3e872b70190 | [] | no_license | Kha/syntax | 2f96982b920a24d9bdbbb48ad6acce1817e62f26 | af05028581955d9fd5af99be9cbb82f5c9226551 | refs/heads/master | 1,631,456,662,519 | 1,523,806,396,000 | 1,523,978,266,000 | 110,000,924 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,032 | lean | import macro
def α_conv (rsm : resolve_map) (σ : syntax_id → name) : syntax → syntax
| (syntax.ident ident) := match rsm.find ident.id with
-- TODO: renaming of globals?
| some r@{decl := sum.inl id, ..} := syntax.ident {ident with sp := none, name := ident.name.replace_prefix' r.prefix (σ id)}
| _ := syntax.i... |
e83a5f8ae20ce34ebf158752f6f9ed85b3c3ee0c | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/real/cau_seq_completion.lean | 49f59ed57e611d8c1174c754fd963fe38f8314bc | [
"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 | 9,503 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Robert Y. Lewis
Generalizes the Cauchy completion of (ℚ, abs) to the completion of a
commutative ring with absolute value.
-/
import data.real.cau_seq
namespace cau_... |
df2a8bbf755fcf05fcc6ffff5b522075715ddcef | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/data/set/countable.lean | 28d41c78c7783850209183444263f68f122ba5bc | [
"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 | 9,536 | 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 data.equiv.list
import data.set.finite
/-!
# Countable sets
-/
noncomputable theory
open function set encodable
open classical (hiding some)
open_locale clas... |
0c767e4759a077b86a99e338a73314fc241e63c7 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/list/perm.lean | d8987584e9a046d07e612b99caefc508e57af1c3 | [
"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 | 47,725 | 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
-/
import data.list.bag_inter
import data.list.erase_dup
import data.list.zip
import logic.relation
/-!
# List permutations
-/
... |
407bd9e449e67b912415775902ec5ed17da666c5 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/dedekind_domain/adic_valuation.lean | 86e0bac6f8b446376dcd7da9997ddd770334d58b | [
"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 | 19,208 | lean | /-
Copyright (c) 2022 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
-/
import ring_theory.dedekind_domain.ideal
import ring_theory.valuation.extend_to_localization
import ring_theory.valuation.valuation_su... |
50bca39dd3a323d77e3d027f791b29b55707bf62 | 1fd908b06e3f9c1252cb2285ada1102623a67f72 | /init/path.lean | b66be53737ac23c2f0255a2c819ed162c83fa0d8 | [
"Apache-2.0"
] | permissive | avigad/hott3 | 609a002849182721e7c7ae536d9f1e2956d6d4d3 | f64750cd2de7a81e87d4828246d1369d59f16f43 | refs/heads/master | 1,629,027,243,322 | 1,510,946,717,000 | 1,510,946,717,000 | 103,570,461 | 0 | 0 | null | 1,505,415,620,000 | 1,505,415,620,000 | null | UTF-8 | Lean | false | false | 32,324 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
import .meta.support .meta.simp_attr .meta.induction
universes u v w
hott_theory
namespace hott
open... |
d879429db7289b221a1ac5b7ed0ec7a6a22d9add | 076f5040b63237c6dd928c6401329ed5adcb0e44 | /instructor-notes/2019.10.01..poly/option_test.lean | d115e8706b8146fe197ce7598c3d74a56f40ea22 | [] | no_license | kevinsullivan/uva-cs-dm-f19 | 0f123689cf6cb078f263950b18382a7086bf30be | 09a950752884bd7ade4be33e9e89a2c4b1927167 | refs/heads/master | 1,594,771,841,541 | 1,575,853,850,000 | 1,575,853,850,000 | 205,433,890 | 4 | 9 | null | 1,571,592,121,000 | 1,567,188,539,000 | Lean | UTF-8 | Lean | false | false | 372 | lean | import .option
open myoption
def o1 := moption.some 3
def o2 := moption.none nat
def o3 := moption.some tt
def o4 := moption.none bool
def o5 := moption.some "Hello Lean"
def o6 := moption.none string
def just_zero : ℕ → moption ℕ
| 0 := moption.some 0
| _ := moption.none nat
#reduce just_zero 0
#reduce just_zer... |
cec54c68ab379fff00f48c274946c971ad100fe6 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/algebra/ordered_field.hlean | c07086aaf01d6070bbe101f6e799d9b5df2464ec | [
"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 | 20,343 | hlean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis
-/
import algebra.ordered_ring algebra.field
open eq eq.ops algebra
set_option class.force_new true
namespace algebra
structure linear_ordered_field [class] (A : Type) exte... |
439e5762c1424c44e1e72101a758f3c6e9bb8fc5 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/dedekind_domain.lean | 5f853978f55967ff970cbb2e8b6f67a3c88b48af | [
"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 | 42,698 | lean | /-
Copyright (c) 2020 Kenji Nakagawa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenji Nakagawa, Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.discrete_valuation_ring
import ring_theory.fractional_ideal
import ring_theory.ideal.over
import ring_theory.int... |
8ede732ed7b115b54823a5341bfebefb4bb03cff | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/field.lean | 3a14edd9d993a3d89f5a54f637071181d374ca97 | [
"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 | 7,492 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-/
import algebra.ring.basic
import algebra.group_with_zero
open set
set_option default_priority 100 -- see Note [default... |
abb3aae472a7cc2c8b005613fdfd262134e0489a | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/data/mv_polynomial/basic.lean | 2e93905534a2e28b4cd362a7595289e8687d12be | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,396 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import data.polynomial.eval
import data.finsupp.antidiagonal
/-!
# Multivariate polynomials
This file defines polynomial rings over... |
9e10cf5264f4f672d9ff15031a47cbbda3b8e1d7 | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /hott/init/reserved_notation.hlean | ee2cabbef23d96942c7eed2046e9ef6c56b6163e | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,802 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
-/
prelude
import init.datatypes
notation `assume` binders `,` r:(scoped f, f) := r
notation `take` binders `,` r:(scoped f... |
d6dc37e6e3cc1d25371b48048b22f2fc1358d98b | 618003631150032a5676f229d13a079ac875ff77 | /src/data/list/bag_inter.lean | 8bab787a6a8266e698cb53a994bf151476979797 | [
"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 | 3,475 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Scott Morrison
-/
import data.list.basic
namespace list
open nat
/- bag_inter -/
universe u
variables {α : Type u} [decidable_eq α]
@[simp] theorem nil_bag_inter (... |
140d64d4067a79e1685c60504d0337c69cb61c4a | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Init/Data/FloatArray/Basic.lean | f9b5a1b9bda17b25fb9679ab87879c81448b4b5b | [
"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 | 5,439 | 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
-/
prelude
import Init.Data.Array.Basic
import Init.Data.Float
import Init.Data.Option.Basic
universe u
structure FloatArray where
data : Array Float
attrib... |
6e92076b84f15fadefa303c05c581f5680bb4c59 | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/polynomial/algebra_map.lean | 6801e8e80e69e5b7f5a76efc53a73cc79fd3c338 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,584 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.eval
/-!
# Theory of univariate polynomials
We show that `polynomial A` is an R-algebra when `A`... |
5f1d9b0f7093b5840fdab80a6effc6f7392cce15 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/skeletal.lean | 1e5c9b3ccbb712a852a26523df23425f791dfec5 | [
"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 | 10,921 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.category.preorder
import category_theory.isomorphism_classes
import category_theory.thin
/-!
# Skeleton of a category
Define skeletal categories ... |
4da8a2ff93ebaa4036d4eddb48b518e7d1c97f36 | bb31430994044506fa42fd667e2d556327e18dfe | /src/field_theory/minpoly/field.lean | f32ab9138dfcd126f3842978d8e7caa2efc564ef | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 11,248 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca, Johan Commelin
-/
import data.polynomial.field_division
import field_theory.minpoly.basic
import ring_theory.algebraic
/-!
# Minimal polynomials on an algebra over a ... |
fdff0b8dba69a2f5113d97d3303d95671fdf4e32 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /src/Lean/Elab/App.lean | b39dee70e8e49188ff54d2f995b3a1cfc5ede7b1 | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 43,895 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.FindMVar
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.Elab.SyntheticMVars
namespace Lean.Elab.Term
open Meta
builtin_initia... |
9427db57064f79ae8680a92a094a0ba526036c6d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/set/function.lean | b357f073ebe29f856e37c1581774972b8dcf611f | [
"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 | 37,209 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Andrew Zipperer, Haitao Zhang, Minchao Wu, Yury Kudryashov
-/
import data.set.basic
import logic.function.conjugate
/-!
# Functions over sets
## Main definitions
### P... |
3885305d2c1ce211d4b840d27fe57592490e14f3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/cody2.lean | 2c0cc5d9d64cf773b272d0fb27d367d7e1728507 | [
"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 | 447 | lean | open eq
definition subsets (P : Type) := P → Prop.
section
hypothesis A : Type.
hypothesis r : A → subsets A.
hypothesis i : subsets A → A.
hypothesis retract {P : subsets A} {a : A} : r (i P) a = P a.
definition delta (a:A) : Prop := ¬ (r a a).
local notation `δ` := delta.
theorem delta_aux : ¬ (δ (i delta))
... |
95fec2daba09c7c21d74081fe98700cd6b4b543e | fddcf4b659baa121761c71be606b3f74b86fa695 | /test.lean | 5c179555321115c4874038f14b5610ec46a9d7ef | [] | no_license | swarnpriya/Lean | 4218df9392f396cd7e5e745de35a917536ebd2bb | a0a9978fd058041eb1a09aec0e2dd7d19a7436a7 | refs/heads/master | 1,595,831,634,399 | 1,568,673,127,000 | 1,568,673,127,000 | 208,903,604 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 199 | lean | -- BEGIN
theorem and_commutative (p q : Prop) : p /\ q -> q /\ p :=
assume hpq : p /\ q,
have hp : p, from and. left hpq,
have hq : q, from and. right hpq,
show p /\ q, from and. intro hq hq
-- END
|
2dc920cc8e8ca7316c3b28e7035667b52b4d4ef7 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/sheaves/stalks.lean | 677705b23e3a7b5c1ef21709be07defd3ff5bb20 | [
"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 | 24,402 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Justus Springer
-/
import topology.category.Top.open_nhds
import topology.sheaves.presheaf
import topology.sheaves.sheaf_condition.unique_gluing
import category_theory.... |
39730acdbaa395d9b6026c608e97eedf11178a98 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finsupp/to_dfinsupp.lean | 5f5784a57584c64325a20ca69e7030fee1a91f8a | [
"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 | 11,405 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.module.equiv
import data.dfinsupp.basic
import data.finsupp.basic
/-!
# Conversion between `finsupp` and homogenous `dfinsupp`
This module provides convers... |
0d6efd88aaa7bc2230a1fffaa30fb0488593d4b4 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/compactly_generated.lean | cbc65d8192296c5cf6acfdda812ffcdf2e346fa6 | [
"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 | 19,806 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import tactic.tfae
import order.atoms
import order.order_iso_nat
import order.zorn
import data.finset.order
/-!
# Compactness properties for complete lattices
For complet... |
b5011219a41b314f523adf602c7c967662c7ef1f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/pendingInstBug.lean | a99999fa94ada712022426b557c38796ce11a0ac | [
"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 | 226 | lean | class AddIdepotent (α : Type u) [Add α] : Prop where
add_id (x : α) : x + x = x
export AddIdepotent (add_id)
theorem tst [Add α] [AddIdepotent α] (x : α) : id (x + x + x) = x := by
rw [add_id, add_id]
simp [id]
|
6159ec5f2e7242bf3836399b39e71cb51c834370 | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/data/set/basic.lean | cedd17d3a243c6ce7c9b327348888d0267603ce5 | [
"Apache-2.0"
] | permissive | naussicaa/mathlib | 86d05223517a39e80920549a8052f9cf0e0b77b8 | 1ef2c2df20cf45c21675d855436228c7ae02d47a | refs/heads/master | 1,592,104,950,080 | 1,562,073,069,000 | 1,562,073,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 54,293 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Leonardo de Moura
-/
import tactic.basic tactic.finish data.subtype
open function
/- set coercion to a type -/
namespace set
instance {α : Type*} : has_coe_to_sort (set ... |
3b240cebaf674dda4654886e6b02f97ca0ed381d | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Mathlib/Alias.lean | 19a836808117f2d1bb8457341f2c3bee7a91a067 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 1,651 | 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 Mathport.Syntax.Translate.Tactic.Basic
import Mathport.Syntax.Translate.Command
open Lean
namespace Mathport.Translate.Tactic
open AST3 Parser
-- # t... |
4f5a10fc6166569c36510b2a930424f25e8d8600 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/bounded_continuous_function.lean | 67b533314f3d71c5ac2cd5b7c84ff071bf2578d1 | [
"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 | 28,972 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro, Yury Kudryashov, Heather Macbeth
-/
import analysis.normed_space.basic
/-!
# Bounded continuous functions
The type of bounded continuous functio... |
07794e42442f330a09482ec9ce5e9c0c56aee840 | f41725a360d902d3c7939fdf81a5acaf0d0467f0 | /src/adjoin.lean | f6c7fba44430cb143d1d4eac269453fa1636f8d7 | [] | no_license | pglutz/galois_theory | 978765d82b7586c21fd719b84b21d5eea030b25d | 4561c2c97d4c49377356e1d7a2051dedc87d30ba | refs/heads/master | 1,671,472,063,361 | 1,603,597,360,000 | 1,603,597,360,000 | 281,502,125 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,140 | lean | --import subfield_stuff
import field_theory.subfield
import field_theory.separable
import field_theory.tower
import group_theory.subgroup
import field_theory.minimal_polynomial
import linear_algebra.dimension
import linear_algebra.finite_dimensional
import ring_theory.adjoin_root
import data.zmod.basic
variables (F : ... |
dc7815c7a5aead12516e547194ba80095964860f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/algebra/field.lean | bf75496757b0ad2255d8ae8cfdd896b1e84aeafc | [
"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 | 960 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.algebra.ring
import topology.algebra.group_with_zero
/-!
A topological field is usually described via
`{𝕜 : Type*} [field 𝕜] [topological_space 𝕜]... |
b914dca9b42d8789a72af82d5c2f645a31afb867 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/polynomial/lifts.lean | 1b6ea296def3c7370a095bac6f2b6fa60cc40277 | [
"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 | 11,038 | lean | /-
Copyright (c) 2020 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import data.polynomial.algebra_map
import data.polynomial.monic
/-!
# Polynomials that lift
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file ... |
5f6c4776038c20e93c28409468627d0d775f5309 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/localization/at_prime.lean | 49ec3ca61a51f699aa45352870f2ca70ce5309d3 | [
"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 | 9,485 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import ring_theory.ideal.local_ring
import ring_theory.localization.ideal
/-!
# Localizations of commutative ri... |
b6fa55301aa4b2f9bbf61b4ac3055d5f0db7e879 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/Spindle.lean | b065d864e506155a95b2d1096aaa431ade408bc5 | [] | 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 | 8,826 | 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 Spindle
structure Spindle (A : Type) : Type :=
(linv : (A → (A → A)))
(rinv : (A → (A → A)))
(leftDistributive : (∀ {x y z : A} , (linv x (linv y z)) = (... |
9fef72068a3756180cc4d15e855d5df64f327d81 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /archive/imo/imo2013_q5.lean | 5ee58c411f068566afc2480c523a297bb351f379 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,926 | lean | /-
Copyright (c) 2021 David Renshaw. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Renshaw
-/
import algebra.geom_sum
import data.rat.basic
import data.real.basic
/-!
# IMO 2013 Q5
Let `ℚ>₀` be the positive rational numbers. Let `f : ℚ>₀ → ℝ` be a function sa... |
cc495e19f5fccc26f07694c3693bf9dec70fc154 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0401.lean | f0e0756db57bc37f8c6c206938a268541c85fc8f | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 159 | lean | variables p q : Prop
example (h : p ∧ q) : q ∧ p :=
have hp : p, from and.left h,
have hq : q, from and.right h,
show q ∧ p, from and.intro hq hp
|
5bb4c99593de6153df253a113cf153a13eb4530b | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/meta/simp_tactic.lean | 40aef0ffeb6082912f1a4e7fc0e15f707c07f623 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 26,246 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.meta.attribute init.meta.constructor_tactic
import init.meta.relation_tactics init.meta.occurrences
import init.data.op... |
b958b1d14a7bfd74f6fe916cc10a4c9eaa0187b7 | 618003631150032a5676f229d13a079ac875ff77 | /src/data/list/perm.lean | 25176d2f606c4590ee84bd04aa390cd83676827c | [
"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 | 43,101 | 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
-/
import data.list.bag_inter
import data.list.erase_dup
import data.list.zip
import logic.relation
/-!
# List permutations
-/
... |
36fc9a0448af718590447cfbe29dabbdfd766c29 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/quote_bas.lean | 0287318d3f511629740d3e7ec39ad1b318bf784b | [
"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 | 2,294 | lean | universes u v w
namespace quote_bas
inductive Expr (V : Type u)
| One {} : Expr
| Var (v : V) : Expr
| Mult (a b : Expr) : Expr
@[reducible] def Value := nat
def Env (V : Type u) := V → Value
open Expr
def evalExpr {V} (vs : Env V) : Expr V → Value
| One := 1
| (Var v) := vs v
| (Mult a ... |
677b1678f63cacf7c777959bd451302e1653fc98 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/quadratic_discriminant.lean | 18318b7084c3777beb9e4361e5a1d6e50170e8b7 | [
"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 | 5,261 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import algebra.char_p.invertible
import order.filter.at_top_bot
import tactic.linarith
import tactic.field_simp
import tactic.linear_combination
/-!
# Quadratic discri... |
f7cfdedfc4fa20b1fc52b4436d8252aee7cf1fcc | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/beta_zeta.lean | da59b98b7fd7f344d6fecf417eaa8e95700416e2 | [
"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 | 446 | lean | open tactic
meta def check_expr (p : pexpr) (t : expr) : tactic unit :=
do e ← to_expr p, guard (t = e)
example : true :=
let x := 10 in
by do h ← get_local `x,
head_zeta h >>= check_expr ``(10),
triv
example : let x := 10 in true :=
by do x ← intro1,
head_zeta x >>= check_expr ``(10),
triv
... |
19040f772731f22021f8df4509056ddbbba895e8 | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world8/level4.lean | fb10bd1c824bcf66c94121f930813b2d47ded43c | [
"Apache-2.0"
] | permissive | nomoid/lean-proofs | 4a80a97888699dee42b092b7b959b22d9aa0c066 | b9f03a24623d1a1d111d6c2bbf53c617e2596d6a | refs/heads/master | 1,674,955,317,080 | 1,607,475,706,000 | 1,607,475,706,000 | 314,104,281 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 253 | lean | import mynat.definition
import world8.level3
namespace mynat
theorem eq_iff_succ_eq_succ (a b : mynat) : succ(a) = succ(b) ↔ a = b :=
begin
split,
{
exact succ_inj,
},
{
exact succ_eq_succ_of_eq,
},
end
end mynat |
f28077c8532c45c26317c5ada344fe50d26955aa | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/set/pointwise/support.lean | 2fe0996ee3a80536825d2e96eb623829c1f19447 | [
"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 | 1,618 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.set.pointwise.smul
import algebra.support
/-!
# Support of a function composed with a scalar action
We show that the support of `x ↦ f (c⁻¹ • x)` ... |
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