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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5d799771643143867cef60386244dfa863ff92df | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/parser/test2.lean | dfcff5987b06151de83b29a3f9145ce0f7f294d3 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,756 | lean | import parser
abbrev Parser (α : Type) := Lean.Parser.ParserM Unit Unit Unit α
open Lean.Parser
def check {α} [BEq α] (p : Parser α) (s : String) (e : α) : IO Unit :=
match p.run () () s with
| Lean.Parser.Result.ok v i _ _ := do
IO.println ("Ok at " ++ toString i),
unless (v == e) (throw "unexpected result")
|... |
a8126383ac2749177ff2f9b583b6576a6a2e1808 | cc62cd292c1acc80a10b1c645915b70d2cdee661 | /src/category_theory/functor/functorial.lean | 504855a83c4085452daa6a8096261715d8182874 | [] | no_license | RitaAhmadi/lean-category-theory | 4afb881c4b387ee2c8ce706c454fbf9db8897a29 | a27b4ae5eac978e9188d2e867c3d11d9a5b87a9e | refs/heads/master | 1,651,786,183,402 | 1,565,604,314,000 | 1,565,604,314,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 921 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.functor
import category_theory.tactics.obviously
namespace category_theory
universes u₁ u₂
variable {C : Type (u₁+1)}
variable [large_c... |
a1a4cc5e111aeea405ccc282aede693804c4c06a | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/data/nat/basic.lean | b0d9d0770eb80a5042f8ffc730f574fa0bcb99fe | [
"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 | 12,900 | 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
--------------------------------------------------------... |
229011020f9cabea693d3f4f517756f762b67929 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/traversable.lean | 9751f1939229108ea001ca53e754e0338d91dfca | [
"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 | 2,109 | lean | import control.traversable.derive
import control.traversable.instances
universes u
/- traversable -/
open tactic.interactive
run_cmd do
lawful_traversable_derive_handler' `test ``(is_lawful_traversable) ``list
-- the above creates local instances of `traversable` and `is_lawful_traversable`
-- for `list`
-- do not p... |
9495616d53aab989e64ed9a45a907b0e83c818ff | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/multiset/range.lean | 0280b36be2c4399a003ae0b032a5c4c17e7accd9 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,133 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.multiset.basic
import Mathlib.data.list.range
import Mathlib.PostPort
namespace... |
f8dea63193503ce26c210b2ee9dbe858ae333162 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/logic/prop.lean | f2df9409680890a3003a4cf7b48870c6ce1f9531 | [
"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 | 1,367 | 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, Jeremy Avigad
import general_notation type
-- implication
-- -----------
definition imp (a b : Prop) : Prop := a → b
-- true and false
-- ---------... |
22356f4705b702026981a0f6bd07845711302819 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/geometry/euclidean/basic.lean | f8d4cf7ee4f1fcce827d390ba5b2af6741f51bd0 | [
"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 | 32,058 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Manuel Candales
-/
import analysis.inner_product_space.projection
import algebra.quadratic_discriminant
/-!
# Euclidean spaces
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
... |
61c483e5a8d74be279c4e9460b34fa546925e097 | 618003631150032a5676f229d13a079ac875ff77 | /src/group_theory/bundled_subgroup.lean | 9baf26be107d970fcb2ef124b89eb3286ab1d490 | [
"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 | 28,275 | lean | /-
Copyright (c) 2020 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import group_theory.subgroup
/-!
# Subgroups
This file defines multiplicative and additive subgroups as an extension of submonoids, in a bundled
form (unbundled subgroup... |
5fe417c72d5db6d3b5dea0e6bee59391e559412c | 5a5e1bb8063d7934afac91f30aa17c715821040b | /lean3SOS/src/float/round.lean | c1c8ae2d6f0a7a9eb08f7b9ba3efdbbd088a7cd3 | [] | no_license | ramonfmir/leanSOS | 1883392d73710db5c6e291a2abd03a6c5b44a42b | 14b50713dc887f6d408b7b2bce1f8af5bb619958 | refs/heads/main | 1,683,348,826,105 | 1,622,056,982,000 | 1,622,056,982,000 | 341,232,766 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,108 | lean | import float.basic
-- Following https://isabelle.in.tum.de/website-Isabelle2013/dist/library/HOL/HOL-Library/Float.html
variable (prec : ℕ)
def round_up (x : ℚ) : 𝔽 :=
float.mk (⌈x * 2 ^ prec⌉) (-prec)
def round_down (x : ℚ) : 𝔽 :=
float.mk (⌊x * 2 ^ prec⌋) (-prec)
lemma round_up_zero : round_up prec 0 = 0 :=... |
fd087655c6c159d9ffc311ef5669d405d993d227 | da3a76c514d38801bae19e8a9e496dc31f8e5866 | /library/init/meta/lean/parser.lean | 72f779a4e1dd9c4f1c60104f671567a6541a83a7 | [
"Apache-2.0"
] | permissive | cipher1024/lean | 270c1ac5781e6aee12f5c8d720d267563a164beb | f5cbdff8932dd30c6dd8eec68f3059393b4f8b3a | refs/heads/master | 1,611,223,459,029 | 1,487,566,573,000 | 1,487,566,573,000 | 83,356,543 | 0 | 0 | null | 1,488,229,336,000 | 1,488,229,336,000 | null | UTF-8 | Lean | false | false | 2,306 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
prelude
import init.data.option.basic init.category.monad init.category.alternative
import init.meta.pexpr init.meta.interaction_monad
namespace lean
-- T... |
8775366bcf0e023e18d5cb46e4b3a1a67fb9aa11 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/elabissues/vars.lean | dc9e8375be9b51a95c6bcee74d49755f1f93fb73 | [
"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 | 1,166 | lean | def f1 {α} [ToString α] (a : α) : String := -- works
">> " ++ toString a
-- Moving `{α} [ToString α]` to a `variables` break the example
variables {α} [ToString α]
def f2 (a : α) : String :=
">> " ++ toString a
class Dummy (α : Type) := (val : α)
/- The following fails because `variables {α : Type _} [Dummy α]` is p... |
b5d2b1298c473898baaa5992a8c3be38ab999298 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /scratch/main.lean | 43872a5313989861e9bac0430b810ab9f8089ea5 | [] | no_license | ChrisHughes24/single_relation | 99ceedcc02d236ce46d6c65d72caa669857533c5 | 057e157a59de6d0e43b50fcb537d66792ec20450 | refs/heads/master | 1,683,652,062,698 | 1,683,360,089,000 | 1,683,360,089,000 | 279,346,432 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,587 | lean | import .exp_sum_eq_zero
import .base_case
import .choose_letters
import .no_exp_sum_zero
import .golf
open semidirect_product
-- Did I take into account the case when T is everything in r?
-- This rarely happens right? Unless it happens at the start
-- Proof assumes wlog every element of S appears in r, where is this ... |
1a6d03971a1b839244f4e51036b60fceb42849c2 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebraic_topology/cech_nerve.lean | 4a0ce5ebc27b3ac1f2457755d9255e205a9ada45 | [
"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 | 10,460 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import algebraic_topology.simplicial_object
import category_theory.limits.shapes.wide_pullbacks
import category_theory.arrow
/-!
# The Čech Nerve
This file provides a def... |
2bd88567caa39c0bc51f719eaf2deeadbaf4e790 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/normed/group/SemiNormedGroup/completion.lean | 05582511cc5f9cd726130f9b73c56fbfed576322 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 4,513 | lean | /-
Copyright (c) 2021 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca, Johan Commelin
-/
import analysis.normed.group.SemiNormedGroup
import category_theory.preadditive.additive_functor
import analysis.normed.group.hom_completion
/-!
# ... |
3124079921abb35ffdbdc530ede1d45ce4b40f3b | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/no_eqn_lemma_for_meta_default.lean | 54e0ac2d743689c6fe675f101c2bafc1dafd32f6 | [
"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 | 62 | lean | meta structure foo :=
(x := 10)
#print prefix foo.x._default
|
d298e082ac7735eab2522495979a00dcbbd30fcb | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/field_theory/splitting_field.lean | 50eb8508117e3cd54e6db52074ca3a7a9ed6fadc | [
"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 | 19,604 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import field_theory.intermediate_field
import ring_theory.adjoin.field
/-!
# Splitting fields
This file introduces the notion of a splitting field of a polynomial and p... |
c7ea3bf0a8ceb6c610903846be8c7d0c9070a429 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/groupk.lean | 493a302004bd25e5af4f762ee98c550220fe1716 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,273 | lean | import category_theory.limits.limits
import category_theory.limits.shapes
import category_theory.yoneda
import category_theory.opposites
import category_theory.types
import category_theory.limits.types
-- set_option trace.simplify.rewrite true
run_cmd mk_simp_attr `PRODUCT ----- BOF BOF
meta def PRODUCT_C... |
ff8a84f2d263eac829c0a78759d9b2852f3d30af | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/order/filter/pointwise.lean | 93176f5304554aeb1ec07e7d60a0b2017a9e2554 | [
"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 | 9,443 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
The pointwise operations on filters have nice properties, such as
• map m (f₁ * f₂) = map m f₁ * map m f₂
• nhds x * nhds y = nhds (x * y)
-/
import algebra.pointwi... |
18c92016b8278550b68c17e30ccc4e164c1db209 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/algebra/monoid.lean | d9b59a3e56f7a24dc751e0a37d7c1c012063dfaa | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 5,314 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Theory of topological monoids.
TODO: generalize `topological_monoid` and `topological_add_monoid` to semigroups, or add a type class
`topological_opera... |
d4fdc17ed8b504f908e0e08c8d0e52d1f6f3951c | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/data/prod.lean | f43ff7e62be29b992db03d358e3cb07c30216dac | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,235 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.prod
Author: Leonardo de Moura, Jeremy Avigad
-/
import logic.eq
open inhabited decidable eq.ops
namespace prod
variables {A B : Type} {a₁ a₂ : A} {b₁ b₂ : B} {u : A × B... |
75ee134936aa6c868ab43975623ab2406397d292 | 3af272061d36e7f3f0521cceaa3a847ed4e03af9 | /src/SL2Z_generators.lean | 88b4a2bc59f581d475bf9927eb15db0f3aaa4bd0 | [] | no_license | semorrison/kbb | fdab0929d21dca880d835081814225a95f946187 | 229bd06e840bc7a7438b8fee6802a4f8024419e3 | refs/heads/master | 1,585,351,834,355 | 1,539,848,241,000 | 1,539,848,241,000 | 147,323,315 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 15,221 | lean | import .modular_group
import .action
lemma mul_pos_iff {α : Type*} [linear_ordered_ring α] (a b : α) :
0 < a * b ↔ (0 < a ∧ 0 < b) ∨ (a < 0 ∧ b < 0) :=
iff.intro pos_and_pos_or_neg_and_neg_of_mul_pos $ assume h,
match h with
| or.inl ⟨ha, hb⟩ := mul_pos ha hb
| or.inr ⟨ha, hb⟩ := mul_pos_of_neg_of_neg ha hb... |
a9fa639413602ea380668d9bc422976be8d5be68 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /algebra/gcd_domain.lean | 80dfa090ab3ca68d619b05e7e74af58f7b3bdccc | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 13,884 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
GCD domain and integral domains with normalization functions
TODO: abstract the domains to to semi domains (i.e. domains on semirings) to include ℕ and... |
51f2b6bf04bfe1203207faf8dd12a2564d4e5877 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/topology/metric_space/emetric_space.lean | eab0aab89d6714aff6ac5a63e5faa8dec30f735b | [
"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 | 46,747 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import data.nat.interval
import data.real.ennreal
import topology.uniform_space.pi
import topo... |
e86e7985ae521012d0c258a8638250493d22fa8d | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /monoidal_categories/monoidal_structure_from_products.lean | db196b82935d1af572ade38f1475812382eb42c0 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 4,978 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import .braided_monoidal_category
import ..universal.universal
open tqft.categories
open tqft.categories.functor
open tqft.categories.products
open tqft.categorie... |
11863a9238c9cdc6d9b1318e981a04858874e546 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/matrix/block.lean | d7fce563c677247e7a699e646b0234a7f5f23fac | [
"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 | 9,914 | 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.matrix.determinant
/-!
# Block matrices and their determinant
This file defines a predicate `matrix.... |
ae717d27b6090e7a8c4fa17d8d5d9fdf3d20fb54 | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /src/Lean/Elab/Util.lean | 6994b63425968e83706df5784d26fd1b1f1ebad9 | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,596 | 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.Trace
import Lean.Parser.Syntax
import Lean.Parser.Extension
import Lean.KeyedDeclsAttribute
import Lean.Elab.Exception
namespace Lean
de... |
76700c1232d87a33d2b094551979608fa45951ea | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/geometry/euclidean/monge_point.lean | b5713ba092a1579c2ce4f6cd12dc6d313cdebf84 | [
"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 | 38,061 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.circumcenter
/-!
# Monge point and orthocenter
This file defines the orthocenter of a triangle, via its n-dimensional
generalization, the Mong... |
b438bbf187d01025d512cd26bf29e1c06f7edc63 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/geometry/euclidean/circumcenter.lean | 69ada84e2f8bfa60914850b0611b983814bba714 | [
"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 | 40,655 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.basic
import linear_algebra.affine_space.finite_dimensional
import tactic.derive_fintype
/-!
# Circumcenter and circumradius
This file proves ... |
64b13bbf0d7ca107203c99964a359a3270271e86 | b2e508d02500f1512e1618150413e6be69d9db10 | /src/category_theory/whiskering.lean | 38ecd24f5266722794abe54a10e811628196162d | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 7,537 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.natural_isomorphism
namespace category_theory
universes u₁ v₁ u₂ v₂ u₃ v₃ u₄ v₄
section
variables (C : Type u₁) [𝒞 : category.{v₁} C]
... |
b0c481ffed93b33246f7b5108fd17d5c52fab7f9 | b09ab112c2467bddcdeb905c5de5336fc58f1b2b | /ord.lean | 2862f4bcee89d0c3092aeb786888f9454cae4893 | [
"MIT"
] | permissive | Nolrai/EpsilonOrdinals | 71b913c1674637eb68f29f8c3d2ecfd198717989 | ff4c8945eb94b1baf7194efe79998832bcb6be2d | refs/heads/master | 1,471,017,041,666 | 1,458,797,649,000 | 1,458,797,649,000 | 51,234,651 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,061 | lean |
inductive ord : Type :=
| Zero : ord
| Stroke : ord -> ord -> ord
open ord
infix `∥`:50 := Stroke
definition ord.has_zero [instance] : has_zero ord :=
{| has_zero, zero := Zero |}
attribute Stroke [coercion] --this seems to act flaky?
definition ord.has_one [instance] : has_one ord :=
has_one.mk (0 ∥ 0)
in... |
ad238f7c85df5e176cd7411933df32d4ab52a4d9 | e6b8240a90527fd55d42d0ec6649253d5d0bd414 | /src/algebra/big_operators.lean | a1d78b99fff9b7f2c645dc08858e9f10604ca1d8 | [
"Apache-2.0"
] | permissive | mattearnshaw/mathlib | ac90f9fb8168aa642223bea3ffd0286b0cfde44f | d8dc1445cf8a8c74f8df60b9f7a1f5cf10946666 | refs/heads/master | 1,606,308,351,137 | 1,576,594,130,000 | 1,576,594,130,000 | 228,666,195 | 0 | 0 | Apache-2.0 | 1,576,603,094,000 | 1,576,603,093,000 | null | UTF-8 | Lean | false | false | 36,070 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Some big operators for lists and finite sets.
-/
import tactic.tauto data.list.basic data.finset data.nat.enat
import algebra.group algebra.ordered_group algebra.group_... |
1aa8229c689b9b94a8c57e9bf1b245f4e74eec07 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/rat/sqrt.lean | e33db9ef02079f15d3c5700b2febf3e8650f82c5 | [
"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 | 1,165 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import data.rat.order
import data.int.sqrt
/-!
# Square root on rational numbers
This file defines the square root function on rational numbers, `ra... |
a1a56fc2b34dd54f26b47b783639043082cfed98 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Server/FileWorker/RequestHandling.lean | 7de5b44ecb71bf7666f42c2dfb6b5b8ded78cf0f | [
"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 | 25,423 | lean | /-
Copyright (c) 2021 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Marc Huisinga
-/
import Lean.DeclarationRange
import Lean.Data.Json
import Lean.Data.Lsp
import Lean.Server.FileWorker.Utils
import Lean.Server.Requests
import... |
16744a0e5f9903fe6cbad36ebdb1f413ebbed860 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/polynomial/degree/definitions.lean | f8d1c695c5469002ddde847dea1535286b5f37eb | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 49,003 | 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.nat.with_bot
import data.polynomial.induction
import data.polynomial.monomial
/-!
# Theory of univariate poly... |
3e2cc5d9f6aa27c6a1068f6e41e97596810c3ae3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/find_unused_decl2.lean | 9e59c5bc054e8487faac8cccec3fccf60e423c15 | [
"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 | 261 | lean |
import tactic.find_unused
def unused1 : ℕ := 1
inductive unused_type
| intro : unused_type
def my_list := list ℕ
def some_val : list ℕ := [1,2,3]
@[main_declaration]
def other_val : my_list := some_val
def used_somewhere_else : my_list := some_val
|
797fb3d3b1c0cec4ffda713a9a44f478b3893e44 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/standard/logic/axioms/examples/diaconescu.lean | d48fb2cf8fdd28c50eec14572cc52eae8efd2824 | [
"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 | 1,951 | lean | ------------------------------------------------------------------------------------------------------ Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
------------------------------------------------------... |
94c84b5f6bbe438c6af821be3731ea037d5ed0bf | 750acab0c635b67751bcfec43c5411aa3941c441 | /sdg2.lean | cd719da5e55a98274115f4386cb84bbd0088129b | [] | no_license | nthomas103/lean_work | 912f8e662cdd73ba97f5d3655ddb8a5d2cd204c9 | 7e9785cae2b60a77b41922fd5d5b159a1fae415c | refs/heads/master | 1,586,739,169,355 | 1,455,759,226,000 | 1,455,759,226,000 | 50,978,095 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,077 | lean | import standard algebra.module
open algebra set prod prod.ops fin nat function
-- SDG
-- 1.1.1
variables {R : Type} [field R]
definition D := { d : R | d ^ 2 = 0 }
lemma zero_in_D : (0:R) ∈ D := sorry
definition kock_lawvere (f : ∀ d, d ∈ D → R) :
∃! b : R, ∀ d (memD : d ∈ D), f d memD = f 0 zero_in_D... |
d3c09a8d7a29e97e382d9f87082b07b77bd07027 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/field_theory/adjoin.lean | d82d4c233958889314280852bd591250f1830e2e | [
"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 | 45,752 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import field_theory.intermediate_field
import field_theory.separable
import field_theory.splitting_field
import ring_theory.tensor_prod... |
666e282e82b3ab3abdd529932f68b40b225e0509 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/sites/sieves.lean | fcb14e3bb6273b8948a16ef711132ab503f2a3e5 | [
"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 | 25,047 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, E. W. Ayers
-/
import order.complete_lattice
import category_theory.over
import category_theory.yoneda
import category_theory.limits.shapes.pullbacks
import data.set.latti... |
809454eaf107a660618ceb9d48a0ba829cdc483b | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/geometry/euclidean/circumcenter.lean | aea4719f39aa815cc9bc07cfc581129f321dd0d3 | [
"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 | 38,431 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.basic
import linear_algebra.affine_space.finite_dimensional
import tactic.derive_fintype
/-!
# Circumcenter and circumradius
This file proves ... |
cde5d7fe33fad6b0b04bfed30084013a12ba4d99 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/subring/basic.lean | be9c61b3ea2bdbe889ec72b900583f4eaf09a350 | [
"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 | 39,816 | lean | /-
Copyright (c) 2020 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan
-/
import group_theory.subgroup.basic
import ring_theory.subsemiring.basic
/-!
# Subrings
Let `R` be a ring. This file defines the "bundled" subring type `subring... |
b99a5687351071938b6dee4af606d7bb167598ef | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Tactic/Split.lean | b44eff6fd00a05e8e569bb794ed33642b17fab4c | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,458 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Split
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.Location
namespace Lean.Elab.Tactic
open Meta
@[builtin_tactic Lean.Pa... |
39290e77d61d987291961a46e30f08e58eb202e7 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/set_theory/pgame.lean | 199d020014465a6fa0a186c335a49feec2d7095a | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 42,425 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Isabel Longbottom, Scott Morrison
-/
import logic.embedding
import data.nat.cast
import data.fin
/-!
# Combinatorial (pre-)games.
The basic theory of com... |
39a82809f5619762b440697723c101ffbf0fae99 | 4727251e0cd73359b15b664c3170e5d754078599 | /archive/arithcc.lean | 9de0770bbd8f2c3c7806ae82c9aaec09e3c2703a | [
"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 | 12,217 | lean | /-
Copyright (c) 2020 Xi Wang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Xi Wang
-/
import order.basic
import tactic.basic
/-!
# A compiler for arithmetic expressions
A formalization of the correctness of a compiler from arithmetic expressions to machine languag... |
a3ae1ff23b9485afb8396082611518083b6f2fb9 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /07_Induction_and_Recursion.org.12.lean | dad71f4e6fac3dff33a48bdc68184507fa51e9f6 | [] | 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 | 714 | lean | /- page 104 -/
import standard
import data.examples.vector
open nat vector prod
-- BEGIN
definition head {A : Type} : Π {n}, vector A (succ n) → A
| head (h :: t) := h
definition tail {A : Type} : Π {n}, vector A (succ n) → vector A n
| tail (h :: t) := t
theorem eta {A : Type} : ∀ {n} (v : vector A (succ n)), head... |
98bbeb844ed7ddfae15e4496ad8a3daf1ee0e446 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/number_theory/sum_four_squares.lean | 21856c92e431620b8af5d951a0700c55993e1f4b | [
"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 | 11,816 | 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 algebra.group_power.identities
import data.zmod.basic
import field_theory.finite.basic
import data.int.parity
import data.fintype.card
/-!
# Lagrange's four squa... |
bd071f72891981f1de8ef31262692bf8e241bc56 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/def10.lean | 48f2d926548aea118da633e6a27310c457631eb3 | [
"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 | 693 | lean | def f : Bool → Bool → Nat
| true, true => 0
| _, _ => 3
example : f true true = 0 :=
rfl
def g : Bool → Bool → Bool → Nat
| true, _, true => 1
| _, false, false => 2
| a, _, b => f a b
theorem ex1 : g true true true = 1 := rfl
theorem ex2 : g true false true = 1 := rfl
theorem ex3 :... |
8016b5b672d7e328afe0cd1fc9cb2d87c94a2890 | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/data/polynomial/degree/basic.lean | 9c7c92a7871379823dbacae6f23a9536fe4a63cd | [
"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 | 34,492 | 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.coeff
import data.nat.with_bot
/-!
# Theory of univariate polynomials
The definitions include
`de... |
99abb7dd0a341a2c16a9c12a69a6bfc99bc4f47c | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/data/complex/exponential.lean | 9e3e8744c63fea9b75b3df84355681a0978062ed | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 46,845 | 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.archimedean
import data.nat.choose data.complex.basic
import tactic.linarith
local attribute [instance, priority 0] cla... |
83cd1b521f9c464e92f675a26e7b4c1ced390398 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/sizeof3.lean | a225f31920b8e09ad3a293d80880ac15de6669e0 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,344 | lean | set_option trace.Meta.sizeOf true in
mutual
inductive AList (α β : Type u)
| nil
| cons (a : α) (t : BList α β)
inductive BList (α β : Type u)
| cons (b : β) (t : AList α β)
end
#print AList.nil.sizeOf_spec
#print AList.cons.sizeOf_spec
#print BList.cons.sizeOf_spec
mutual
inductive Foo (α : Type u... |
8b90e0f7409134bc1e122378f1b84604b17eb918 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/group/to_additive.lean | 2d9e7465f241b7b9c112a996ffe7d4b32d7d7b90 | [
"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 | 17,201 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury Kudryashov, Floris van Doorn
-/
import tactic.transform_decl
import tactic.algebra
/-!
# Transport multiplicative to additive
This file defines an attribute `to_... |
866992f048a6be71efb784b921de887acbf3fd37 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/normed_space/units.lean | 8a23c6b7c6c589bbeae6dbb63160479ca7add7e1 | [
"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 | 12,084 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.specific_limits
/-!
# The group of units of a complete normed ring
This file contains the basic theory for the group of units (invertible elements... |
f9604d29689363568afdc8d44e4ceb328f072ce5 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/set_theory/cardinal.lean | 424549c4946a024b3d073488810feb93b597d205 | [
"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 | 52,027 | 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, Floris van Doorn
-/
import data.set.countable
import set_theory.schroeder_bernstein
import data.fintype.card
import data.nat.enat
/-!
# Cardinal Number... |
9f70bd94ae5d35e5ea0908fd40b28464cacb4a07 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/pointwise.lean | 16fb91cd128e6642a48f51091e25717d9e215b0b | [] | 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 | 18,265 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Floris van Doorn
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.module.basic
import Mathlib.data.set.finite
import Mathlib.group_... |
0f8530beb6462e4aca0c9de6ede43afbab25bd60 | 1fbca480c1574e809ae95a3eda58188ff42a5e41 | /src/util/logic.lean | dcc5f30a0ba0f555142bd1e3a5aa8039cfb42136 | [] | no_license | unitb/lean-lib | 560eea0acf02b1fd4bcaac9986d3d7f1a4290e7e | 439b80e606b4ebe4909a08b1d77f4f5c0ee3dee9 | refs/heads/master | 1,610,706,025,400 | 1,570,144,245,000 | 1,570,144,245,000 | 99,579,229 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,519 | lean |
import logic.basic
universe variables u u' u₀ u₁ u₂ v
variables {α α' : Sort u} {β : Sort u'}
lemma forall_imp_forall {p q : α → Prop}
(h : ∀ a, (p a → q a))
(p : ∀ a, p a) : ∀ a, q a :=
assume a, h _ (p a)
lemma forall_imp_forall'
{p : α → Prop}
{q : β → Prop}
(f : β → α)
(h : ∀ a, (p (f a) → ... |
681e16f6d4cc986893cff31f5504e80bb48f4124 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/coe12.lean | 0bf4b9ac8365e6ad75694dadd3e41c74e1b3e66c | [
"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 | 269 | lean | import data.nat
inductive foo (A B : Type) : Type :=
mk : (Π {C : Type}, A → C → B) → foo A B
definition to_fun [coercion] {A B : Type} (f : foo A B) : Π {C : Type}, A → C → B :=
foo.rec (λf, f) f
constant f : foo nat nat
constant a : nat
check f a true
|
fcb9bab85749e55532fb743d24d02b7873265541 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/def20.lean | 2041cc77e390842223bf47d5e1525d0f372bc7bb | [
"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 | 758 | lean | new_frontend
def f : Char → Nat
| 'a' => 0
| 'b' => 1
| 'c' => 2
| 'd' => 3
| 'e' => 4
| _ => 5
theorem ex1 : (f 'a', f 'b', f 'c', f 'd', f 'e', f 'f') = (0, 1, 2, 3, 4, 5) :=
rfl
def g : Nat → Nat
| 100000 => 0
| 200000 => 1
| 300000 => 2
| 400000 => 3
| _ => 5
theorem ex2 : (g 100000, g 200000, g 300000, ... |
9428452c8cfa2e6dc8cfa1d11fe1d7e0719e020d | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/compiler/bytearray_bug.lean | d200af09b8e9063f8cf28c89e7540c4d677012e0 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 150 | lean | def main (xs : List String) : IO Unit :=
let arr := (let e := ByteArray.empty; e.push (UInt8.ofNat 10));
let v := arr.data.get! 0;
IO.println v
|
dd648983eb7a12bb1f2d13a92a42f89dc0a8a50c | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/vector/tail_lemmas.lean | d40329aff0b2b7b7b38a6a7df433ac98e0ffa7d7 | [
"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 | 700 | lean | /- Lemmas for tail, and a total tail function. -/
import data.vector
import ..list.tail
universe variables u
namespace vector
variable {α : Type u}
variable {n : ℕ}
@[simp]
theorem to_list_tail (v : vector α (nat.succ n)) : to_list (tail v) = list.tail (to_list v) :=
begin
cases v,
cases val,
contradiction,
... |
b0462eda87ef87f2c22fd22029137cc6fea5569a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/class_group.lean | 5d6f4889966dfa9d1f763a32621fc105d6b2b3f2 | [
"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 | 10,445 | 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 group_theory.quotient_group
import ring_theory.dedekind_domain.ideal
/-!
# The ideal class group
This file defines the ideal class group `class_group R K` of frac... |
739294dc626ff98a402b880ce9539d664ab65f8c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/module/big_operators.lean | 4a918ebcfe9872027359da5bd4bacd4bcc4bfa66 | [
"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 | 1,113 | lean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro
-/
import algebra.module.basic
import algebra.big_operators.basic
/-!
# Finite sums over modules over a ring
-/
ope... |
4f41510020d49d41dbf64ce203234a4ded9ec4c7 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /stage0/src/Lean/LocalContext.lean | 83c6c76a54de1315c72946ebf33e7a3cbf3ad5fa | [
"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 | 13,681 | 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 Std.Data.PersistentArray
import Lean.Expr
import Lean.Hygiene
namespace Lean
inductive LocalDecl
| cdecl (index : Nat) (fvarId : FVarId) (userName ... |
e1c6e5da8ca0a666766b99a6b9ee61d289707fdd | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170509-transport_lemmas.lean | 1a04228bfba1677c0fce195db653acd47501fdcf | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 12,665 | lean | definition {u v} transport {A : Type u} { P : A → Type v} {x y : A} (p : x = y)
(u : P x) : P y :=
by induction p; exact u
definition {u v w} apdt011
{A : Type u} {Z : Type w}
{B : A → Type v}
(f : Πa, B a → Z)
{a a' : A}
{b : B a}
{b' : B a'}
(Ha : a = a')
(Hb : transport Ha b = b')
: f ... |
3ed6c5e479498ea71b149bbdbaec923398e481b5 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/algebra/field.lean | d8efa5e834a54f947b8586076322919263baf5a4 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,876 | 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 old_structure_cmd true
universe u
variab... |
7ab1e86febb56e5083f8bf4d2f238824beb4a51d | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/data/equiv/basic.lean | e9409915dfbb2a7b37675489483e683748bb7ccd | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 39,727 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
In the standard library we cannot assume the univalence axiom.
We say two types are equivalent if they are isomorphic.
Two equivalent types h... |
7c58d1023919bab3abffc2c2331cdf12a090d585 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Lean/Meta/Basic.lean | 3243c517c1948be5a26f7e85aa5bc335be74444c | [
"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 | 43,810 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data.LOption
import Lean.Environment
import Lean.Class
import Lean.ReducibilityAttrs
import Lean.Util.Trace
import Lean.Util.RecDepth
import Lea... |
b666507e6623f0df39f7974a4ec265aefd540e98 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/category/Module/basic.lean | f331e9d117c94c4286ee3f4226ec653f26923490 | [
"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 | 11,111 | lean | /-
Copyright (c) 2019 Robert A. Spencer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert A. Spencer, Markus Himmel
-/
import algebra.category.Group.preadditive
import category_theory.limits.shapes.kernels
import category_theory.linear
import category_theory.eleme... |
0909f68b5ae4977acc34db9a8b10afac0fb6194c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/macro.lean | 1f1f9c2f259b50380cf11f72dabf297c1190fae4 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 1,225 | lean | abbrev Set (α : Type) := α → Prop
axiom setOf {α : Type} : (α → Prop) → Set α
axiom mem {α : Type} : α → Set α → Prop
axiom univ {α : Type} : Set α
axiom Union {α : Type} : Set (Set α) → Set α
syntax:100 (priority := high) term " ∈ " term:99 : term
macro_rules
| `($x ∈ $s) => `(mem $x $s)
declare_syntax_cat index
s... |
0d52fac6e5c4499fe1c887f7e711a09d701941f9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/homology/homological_complex.lean | 7bbcf28f61770b698d739c3fb53d4726306a9b82 | [
"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 | 31,853 | 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
-/
import algebra.homology.complex_shape
import category_theory.subobject.limits
import category_theory.graded_object
/-!
# Homological complexes.
> TH... |
bcb2dceec88239a8ec87e9ea03fbb526d869027f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/morphism_property.lean | a690812286cc414f2da1e6e3934b9d1fbce17d45 | [
"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 | 23,548 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import category_theory.limits.shapes.diagonal
import category_theory.arrow
import category_theory.limits.shapes.comm_sq
import category_theory.concrete_category.basic
/-!
... |
18b588924c7df01f98323779b6b45be83f36e01c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/calculus/formal_multilinear_series.lean | 8ceba969eece505e1c9092289e42322af5a7f472 | [] | 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 | 7,273 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.normed_space.multilinear
import Mathlib.ring_theory.power_series.basic
import... |
69f4657cf8df9b44ad6c9eae948f1f7824b0f2e4 | 2f4707593665f4eac651cd5e5b39ea8eabafe0d6 | /src/pequiv.lean | 59df4fb2dade80761a594eb57b32732bfcc7e159 | [] | no_license | PatrickMassot/lean-differential-topology | 941d2ac639b2c8bcfcbad85fe5ff0a4676d159e9 | 5b020daa5f935140c53408748a9f11ba02e7bf42 | refs/heads/master | 1,543,081,959,510 | 1,536,089,170,000 | 1,536,089,170,000 | 112,875,905 | 12 | 5 | null | 1,520,841,685,000 | 1,512,247,905,000 | Lean | UTF-8 | Lean | false | false | 4,273 | lean | import logic.function data.set.function
import tactic.interactive
import tactic.easy
meta def unfold_comp : tactic unit :=
`[repeat { rw comp_apply }]
open function set
universes u v w
variables {α : Type*} {β : Type*} {γ : Type*}
/-- `pequiv α β` is the type of functions from `α → β` which induce a
bijection... |
6d9aa50a879a473b7d3899fba6cc90a36457b5ed | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/affine_space/finite_dimensional.lean | 7c181394b7b5edd579f99b6d7f35800030d721cb | [
"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 | 20,247 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.affine_space.independent
import linear_algebra.finite_dimensional
/-!
# Finite-dimensional subspaces of affine spaces.
This file provides a few re... |
8a6800e22000a10ee8c994a966a21b11a1106860 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/dynamics/circle/rotation_number/translation_number.lean | 7bdd98ca4f712cc8cfab6c2e7082404d0f2655e0 | [
"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 | 39,648 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import algebra.iterate_hom
import analysis.specific_limits
import topology.algebra.ordered.monotone_continuity
import order.iterate
import order.semiconj_Sup
... |
f61409c7e3fb9a9540cf5f37acb7c623923906d2 | 367134ba5a65885e863bdc4507601606690974c1 | /src/deprecated/subfield.lean | b68a58095d3f4a61aa60c0ffac71038dc8f56ffc | [
"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 | 5,171 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import deprecated.subring
import algebra.group_with_zero.power
variables {F : Type*} [field F] (S : set F)
class is_subfield extends is_subring S : Prop :=
(inv... |
d15e01d6213955505141e920ac425746d2a0f69e | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/probability_theory/notation.lean | 4f1fa289a1660769a1d99b9a018eeb818c6f345c | [
"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 | 1,532 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import measure_theory.function.conditional_expectation
import measure_theory.decomposition.radon_nikodym
/-! # Notations for probability theory
This file defines the fo... |
075bd06b35608a7a8f8b4bfe844a38e580c9f17b | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/Format.lean | b2bbe415adf546e531a483dd87bcb2cabf7ff9f7 | [
"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 | 596 | lean | #lang lean4
open Lean
open Std
open Std.Format
def eval (w : Nat) (f : Format) : IO Unit := do
IO.println $ f.pretty w
-- hard line breaks should re-evaluate flattening behavior within group
#eval eval 5 $ fill (text "a" ++ line ++ text "b\nlooooooooong" ++ line ++ text "c") ++ line ++ text "d"
-- basic `fill` test
... |
fbdc64c0de89877bf579bd8e84fcb2713a3fa7cd | caa1512363b76923d0e9cdb716122a5c26c3c6bc | /src/inner_product_space.lean | e3c589368c5a03dfed9cc2a60ad3d721027bd817 | [] | no_license | apurvanakade/cvx | deb20e425ce478159a98e1ffc0d37f9c88a89280 | b47784831339df5a3e45f5cddd84edc545f95808 | refs/heads/master | 1,687,403,288,536 | 1,555,930,740,000 | 1,555,930,740,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,827 | lean | -- based on Jeremy's Lean2 formalization
import algebra.module
import analysis.normed_space.basic
import data.real.basic
import linear_algebra.basic
local attribute [instance] classical.prop_decidable
noncomputable theory
-- TODO: move
lemma le_of_sqr_le_sqr {a : ℝ} {b : ℝ} (ha : 0 ≤ a) (hb : 0 ≤ b) (hab : a ^ 2 ≤ b... |
42848f823bf93dbdb0680bb935f9d5951fe15076 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/root.lean | a443a627d07c093a9fd5846f848ed24f41f5184e | [
"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 | 240 | lean | import logic
constant foo : Prop
namespace N1
constant foo : Prop
check N1.foo
check _root_.foo
namespace N2
constant foo : Prop
check N1.foo
check N1.N2.foo
print raw foo
print raw _root_.foo
end N2
end N1
|
2c06f0020d71700cbcc9f5e8ac0881fac365c070 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Meta/LevelDefEq.lean | cc0037bbfe5e8e155eea361eb345555a440d9814 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,386 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Meta.Basic
namespace Lean
namespace Meta
private partial def decAux? : Level → MetaM (Option Level)
| Level.zero _ => pure... |
26ffa20f1515e7f7f3e0e706bb928747f69b9ad7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/list/chain.lean | 05e77e86c9f139865263bed0d4f67d222744b613 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 14,719 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Yury Kudryashov
-/
import data.list.pairwise
import logic.relation
/-!
# Relation chain
This file provides basic results about `list.chain` (definition in ... |
150791786b517ae2089f890fbdea752df387c3fe | d0664585e88edfefe384f2b01de54487029040bb | /src/uniform_structure/covers.lean | b5f85228b08d1c0aa3f1a487420813e07b35454b | [] | no_license | ImperialCollegeLondon/uniform-structures | acf0a092d764925564595c59e7347e066d2a78ab | a41a170ef125b36bdac1e2201f54affa958d0349 | refs/heads/master | 1,668,088,958,039 | 1,592,495,127,000 | 1,592,495,127,000 | 269,964,470 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,338 | lean | import tactic
import data.set.basic
open set
/-- a cover of X is a set of subsets of X whose union is X -/
structure cover (X : Type) :=
(C : set (set X))
(cov : ∀ x : X, ∃ U ∈ C, x ∈ U)
-- note that the subset X of X isn't called X! X is a type. The subset X of X
-- is called `univ`
/-- The cover {X} of X -/
def u... |
2cfe2ba4924d53b1ddd99b716aa0f3a598a60a41 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/destruct.lean | 1763337ec39f7a4ec4ed5cd3df224de2ff1c4c98 | [
"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 | 946 | lean | universe variables u
inductive Vec (α : Type u) : nat → Type (max 1 u)
| nil : Vec 0
| cons : ∀ {n}, α → Vec n → Vec (nat.succ n)
lemma split {α : Type u} {n : nat} (v : Vec α n) : (v == (Vec.nil α) ∧ n = 0) ∨ ∃ m h (t : Vec α m), v == Vec.cons h t ∧ n = nat.succ m :=
Vec.cases_on v
(or.inl ⟨heq.refl _, rfl⟩)
... |
026fbcdc3e5b0fdda4f956699286a95e140c40ac | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/topology/instances/real_vector_space.lean | 6ce4f34a597606e4e856840634093e5c074ed167 | [
"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 | 1,477 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.algebra.module
import topology.instances.real
/-!
# Continuous additive maps are `ℝ`-linear
In this file we prove that a continuous map `f : E →+ ... |
c59f11722a1bd247425367855900e8de394232f8 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Init/Data/Format/Syntax.lean | bda8e9ae8458b35c59800420930f566f84712ada | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 1,814 | lean | /-
Copyright (c) 2021 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.Format.Macro
import Init.Data.Format.Instances
import Init.Meta
namespace Lean.Syntax
open Std
open Std.Format
private def format... |
adc98ef77ee82ce687cdab501a683f1f10b74b4f | a6b711a4e8db20755026231f7ed529a9014b2b6d | /ZZ_IGNORE/RAW/predicates.lean | 25553939292d0848e89f7bd5d5f4a2bf20fc4f6f | [] | no_license | chaseboettner/cs-dm-1 | b67d4a7e86f56bce59d2af115503769749d423b2 | 80b35f2957ffaa45b8b7a4479a3570a2d6eb4db0 | refs/heads/master | 1,585,367,603,488 | 1,536,235,675,000 | 1,536,235,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,105 | lean | /-
Predicates
-/
def isZero (n: nat) := n = 0 ∨ false
/-
isZero 3 -- 3 = 0 N
isZero 1 -- 1
= 0 N
isZero 0 -- 0 = 0 Y
isZero -1 -- type error
-/
/-
or.introduction
-/
theorem o1 : 0 = 0 ∨ 0 = 1 :=
or.intro_left (0 = 1) (eq.refl 0)
#check (isZero 3)
#reduce isZero 3
theorem foo: isZero 0 :=
or.in... |
f416ea2f7d36b7d65947406260d21e41d56317b0 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/set/intervals/image_preimage.lean | 499107c7ad08c34fbd3cd5ca07a607bb8d1c5841 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,647 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Patrick Massot
-/
import data.set.intervals.basic
import data.equiv.mul_add
import algebra.pointwise
/-!
# (Pre)images of intervals
In this file we prove a bu... |
3b2a52f1fa9a26f7da9da0de013997d429b5134b | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/complex/basic.lean | a3adb83bb01bc6db604e372a32b74c6257458c06 | [
"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 | 14,241 | lean | /-
Copyright (c) Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import data.complex.determinant
import data.complex.is_R_or_C
/-!
# Normed space structure on `ℂ`.
This file gathers basic facts on complex numbers of an analytic ... |
63f288189e12d2f0413090380295100e88d0eafd | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/universal/proof.lean | 2b2d5a11ee89f6ba5f6c4bc2ee79da16042ba05f | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,926 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .basic
import .identity
import .congruence
import .model
namespace universal
universe u
variables {τ : Type} {σ : Type u} {sig : signature τ σ} {ι : Type} (ax : ι → identity sig)
... |
8856f79ed8d2d3d291cd72f4971e6d06a7678e5d | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/group_theory/finiteness.lean | 0e829a45dadf2bbff774b30cf0b04392d24a1d04 | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 13,109 | 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 data.set.finite
import data.finset
import group_theory.quotient_group
import group_theory.submonoid.operations
import group_theory.subgroup.basic
/-!
# Fin... |
900df1f1796094824879e9c5a749e771ba37458c | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/topology/maps.lean | 6ff101142aa16d57e3dd43dcd2769d3423b5926e | [
"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 | 17,520 | 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
Specific classes of maps between topological spaces: embeddings, open maps, quotient maps.
-/
import topology.order topology.separation
... |
0b0c38d9454082d56010ee9d2678eacfc7308ee1 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/737.lean | 977c72c0ca9d62aee762d92d8d2187457232a903 | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,557 | 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 Break positive na... |
7b778b8afdcedbfeb04cb5ebc7ed0710b1117212 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/control/applicative.lean | 9d22f43feadcc3410590f1f0a18dc5167872a77d | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 4,737 | lean | /-
Copyright (c) 2017 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Instances for identity and composition functors
-/
import control.functor
import algebra.group.basic
universe variables u v w
section lemmas
open function
variables {F : T... |
56ccf7d5bc6a46d8d2625bb194535f657211cac0 | e953c38599905267210b87fb5d82dcc3e52a4214 | /hott/types/arrow.hlean | 576e7d4b3ac3b7e7bf241982b02ee438165c21fa | [
"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 | 2,760 | hlean | /-
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 arrow types (function spaces)
-/
import types.pi
open eq equiv is_equiv funext pi equiv.ops
namespace pi
variables {A A' : ... |
3eaa9f721d4b3b434751e8d6a3e89715fe1325e7 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/Reformat.lean | c72d229f0d20f95e797cd2c3e10edd7690ff970f | [
"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 | 1,041 | lean | /-! Parse and reformat file -/
import Lean.PrettyPrinter
new_frontend
open Lean
open Lean.Elab
open Lean.Elab.Term
open Lean.Format
unsafe def main (args : List String) : IO Unit := do
let (debug, f) : Bool × String := match args with
| [f, "-d"] => (true, f)
| [f] => (false, f)
| _ => panic! "usag... |
186c5f04ebaf12889011dd83bc2e065d59af733d | 130c49f47783503e462c16b2eff31933442be6ff | /stage0/src/Lean/Elab/Tactic/ElabTerm.lean | 63f3622c6f45bd851acde8fac5502ff09de99acd | [
"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 | 10,812 | 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.Meta.CollectMVars
import Lean.Meta.Tactic.Apply
import Lean.Meta.Tactic.Constructor
import Lean.Meta.Tactic.Assert
import Lean.Elab.Tactic.Basic... |
a3685cf53ce735ed9ebee3a77afc35d109f98e4f | a44280b79dc85615010e3fbda46abf82c6730fa3 | /tests/playground/task_test4.lean | 7ec3e69bba6003f6b1e6834a7ed80b9ae2d8e58e | [
"Apache-2.0"
] | permissive | kodyvajjha/lean4 | 8e1c613248b531d47367ca6e8d97ee1046645aa1 | c8a045d69fac152fd5e3a577f718615cecb9c53d | refs/heads/master | 1,589,684,450,102 | 1,555,200,447,000 | 1,556,139,945,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 437 | lean | def run1 (i : Nat) (n : Nat) (xs : List Nat) : Nat :=
n.repeat (λ _ r,
let s := (">> [" ++ toString i ++ "] " ++ toString r) in
xs.foldl (+) (r + s.length))
0
def main (xs : List String) : IO UInt32 :=
let ys := (List.repeat 1 xs.head.toNat) in
let ts : List (Task Nat) := (List.iota 10).map (λ i, Task.mk $ λ _, ru... |
d0545b3c4d19fc9b81937771e8b35d9f11f1e3fe | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/ordered_ring.lean | a5e191ccfca4b595d159421199b104cee3e251fa | [
"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 | 61,287 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-/
import algebra.ordered_group
import algebra.invertible
import data.set.intervals.basic
set_option old_structure_cmd true
universe u... |
ef011cec675741f1f6fceca4ac325712a9d5f6ed | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Server/Watchdog.lean | 871ccbfa8b66ba1b5a9fa9f01632369e018b0cb3 | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 34,409 | 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 Init.Data.ByteArray
import Lean.Data.RBMap
import Lean.Elab.Import
import Lean.Util.Paths
import Lean.Data.FuzzyMatch... |
100ed46e710148f83a2fa27699634e0b6bd0f6e8 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/sigma/basic.lean | ff7ddbacfa6888b344555e3beb55faae2714a154 | [
"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 | 3,155 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
section sigma
variables {α : Type*} {β : α → Type*}
instance [inhabited α] [inhabited (β (default α))] : inhabited (sigma β) :=
⟨⟨default α, default (β (default α))⟩... |
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