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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
83772f1c303b6e932bba6188e66e71ed845094e0 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/padics/padic_integers.lean | b5e9dabfcac58714a078babeac2b86c096e9261a | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 10,731 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Mario Carneiro
-/
import data.int.modeq data.padics.padic_numbers ring_theory.ideals ring_theory.algebra
/-!
# p-adic integers
This file defines the p-adic integer... |
bdfc07f89cdc255e5e8a8e211c54f656d9f7552a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/rat/meta_defs_auto.lean | 0967ddb56202f0bc285ee80d0159ac0d02102ea1 | [] | 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 | 1,433 | lean | /-
Copyright (c) 2019 Robert Y. Lewis . All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.rat.basic
import Mathlib.tactic.core
import Mathlib.PostPort
namespace Mathlib
/-!... |
5432cf923f9f1f8da957d82c087e6a0206195f16 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/zzz_junk/04_type_library_copy/00_empty.lean | 84828f025dc5e1807493500def2a94a528e53645 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 536 | lean | namespace hidden
/-
The empty data type has no
values/constructors at all.
This fact becomes interesting
and useful when one performs
a case analysis on values of
this type, as there are no
cases to consider.
-/
inductive empty : Type
/-
Exercise: Show that you can
implement a function, e2n, that
takes (assumes it's... |
bbdff882a29b0c2e9e1139a486c452a8eec9adcf | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/constructions/epi_mono.lean | 1e39511d238e98e7874c73e154654a6ec19e9314 | [
"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 | 1,459 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.binary_products
import category_theory.limits.preserves.shapes.pullbacks
/-!
# Relati... |
626bf77a1367fac758514bea38e00006ee0d663a | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Util.lean | e574e39ae6e0c3e843ac495c6a87474286d3ffe5 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 733 | 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.CollectFVars
import Lean.Util.CollectLevelParams
import Lean.Util.CollectMVars
import Lean.Util.FindMVar
import Lean.Util.FindLevelMVar
imp... |
0c474cf8031bddb0239a6d4441cf3b2b62c67ad4 | 0533ebfa09b11cf8a29da118dd1b86b94949511e | /src/basic.lean | 356166fd3e5ae3643ed9e0f2a77caee1ab0d90ab | [
"MIT"
] | permissive | wudcscheme/Lean-RH | 89e9055aac68703876e750c23fb5327979a09822 | 870f78cc7c0715d03466d1211b0f032b425ec984 | refs/heads/main | 1,679,188,429,923 | 1,602,701,790,000 | 1,602,701,790,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 37,103 | lean | /- ------------------------------------------------------------------------- -|
| @project: riemann_hypothesis |
| @file: basic.lean |
| @author: Brandon H. Gomes and Alex Kontorovich ... |
a06416c52233b5c91b7053901d82be5d1b08ac9a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/set_theory/cardinal/divisibility.lean | 0abd61ae6e5bad5ead96eff4c5fd697a8194d378 | [
"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 | 5,181 | lean | /-
Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
import algebra.is_prime_pow
import set_theory.cardinal.ordinal
/-!
# Cardinal Divisibility
We show basic results about divisibility in the cardinal numbers. This r... |
f766b79fb01087ea081685be655af63e580e96a1 | cf39355caa609c0f33405126beee2739aa3cb77e | /leanpkg/leanpkg/proc.lean | 921e71b2f6f1379efd34550f0e785c9db7b5397f | [
"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 | 699 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Gabriel Ebner
-/
import system.io leanpkg.toml
open io io.proc
namespace leanpkg
def exec_cmd (args : io.process.spawn_args) : io unit := do
let cmdstr := join " " (args.cmd ::... |
0f31ed28893e1940e64dad29ccb06a47a39d5c0d | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/data/complex/module.lean | c984ba2e819abf1180e26b6142c5945853e14ea6 | [
"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 | 842 | lean | /-
Copyright (c) 2020 Alexander Bentkamp, Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Sébastien Gouëzel
-/
import data.complex.basic
import ring_theory.algebra
/-!
This file contains two instance, the fact the ℂ is an ℝ algebra... |
32f7a979101d1d118d73bd0125598aa95611a85a | e514e8b939af519a1d5e9b30a850769d058df4e9 | /src/lib_unused/interaction_monad.lean | c1ed1290c4bfe604c8ba4abaa44f1768f28b738e | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 725 | lean | -- universes u v
-- variable {state : Type}
-- variables {α : Type u} {β : Type v}
-- local notation `m` := interaction_monad state
-- meta def interaction_monad_orelse_intercept_safe {α : Type u} (t₁ : m α) (t₂ : option (unit → format) → option pos → m α) (fallback : α) : m α :=
-- let t₃ : m α := do return fallback ... |
ddad4e3b59f59189e3992ea699d98e9c6a16760f | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/app_builder_tac1.lean | fd3c0b5cb4300d3ff64df5f5aef2295bb083e647 | [
"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 | 544 | lean | open tactic list nat name
set_option trace.app_builder true
set_option pp.all true
meta definition mk_ite (c a b : expr) : tactic expr :=
mk_mapp `ite [none, some c, none, some a, some b]
example (a b : nat) : nat :=
by do a ← get_local `a,
b ← get_local `b,
mk_app `has_add.add [a, b] >>= trace,
mk... |
6d75bbcd908fe33bcde475478db869f5a675bfa2 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/util/meta/default.lean | 4646e25009fbf720941301a6fc64e75b01a6504f | [
"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 | 259 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import .exceptional
import .expr
import .expr_ctx
import .format
import .ind_utils
import .level
import .name
import .parser |
eace03d560beac775279257eb8b52801de685e16 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/holor.lean | cd3e35828d22c69fb53019e824a086d5c7a995d7 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 14,178 | lean | /-
Copyright (c) 2018 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp
-/
import algebra.module.pi algebra.big_operators.basic
/-!
# Basic properties of holors
Holors are indexed collections of tensor coefficients. Confusingly,
th... |
37ae711f99173c2bceac34a1f6289326b8c91e89 | 01ae0d022f2e2fefdaaa898938c1ac1fbce3b3ab | /categories/universal/universal.lean | 3e44d8b55b5b86085810d4aac6cd8937fb651eaa | [] | no_license | PatrickMassot/lean-category-theory | 0f56a83464396a253c28a42dece16c93baf8ad74 | ef239978e91f2e1c3b8e88b6e9c64c155dc56c99 | refs/heads/master | 1,629,739,187,316 | 1,512,422,659,000 | 1,512,422,659,000 | 113,098,786 | 0 | 0 | null | 1,512,424,022,000 | 1,512,424,022,000 | null | UTF-8 | Lean | false | false | 5,796 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .cones
import ..util.hlist
import ..util.finite
open categories
open categories.functor
open categories.isomorphism
open categories.initia... |
ec7cd369f310183b512852cab3a825cfd71fe9e3 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Leanpkg/Resolve.lean | 57f76c1b02c79ad9b293478dd3e92b0dd18a9e13 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 3,114 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich
-/
import Leanpkg.Manifest
import Leanpkg.Proc
import Leanpkg.Git
open System
namespace Leanpkg
def Assignment := List (String × FilePath)
n... |
a01cd568c4061c80863985fc22d9c5f091f47eec | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/order/filter/at_top_bot.lean | e2a9244bc9fb7449866396d702c21b529431ffc0 | [
"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 | 61,673 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import order.filter.bases
import data.finset.preimage
/-!
# `at_top` and `at_bot` filters on preorded sets, monoids a... |
640691fcb380216e0be613fe53d759ce8d827e4b | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/nat/cast.lean | 278ac9295dfef59ec099b91a93fbd95ec3b5c566 | [
"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 | 10,582 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import algebra.ordered_field
import data.nat.basic
namespace nat
variables {α : Type*}
sectio... |
18fd6c549d4d65582bcc87536d363aa513c8aea1 | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /src/algebra/half_ring.lean | fee44653d97d19f1d68c697d300947bf4924ff84 | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 453 | lean | import algebra.ring
universe u
/-- Some comm_ring which has a constant "half", where two halves add to 1. -/
class half_ring (α : Type u) extends comm_ring α :=
(half : α)
(one_is_two_halves : 1 = half + half)
@[priority 100]
instance linear_ordered_field.to_half_ring (α : Type u) [linear_ordered_field α] : half... |
82e2996d90f0e7c23111bc324a05206f78e3df5d | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/data/set/lattice.lean | 55f9de4ba217a3bdc92038830fae8374334a87e0 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 35,406 | 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, Johannes Hölzl, Mario Carneiro
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import logic.basic data.set.basic data.equiv.basi... |
01cb0fffece6d2e640aa42527f87f9f6d6f470dc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/category/omega_complete_partial_order.lean | 15b627c09c36761ce0ad0b2636ef671a8cd97771 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 4,334 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import order.omega_complete_partial_order
import category_theory.limits.shapes.products
import category_theory.limits.shapes.equalizers
import category_theory.limits.const... |
1806f3404fa263716766f1584eea6e7c6c7fc38a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/algebra/functions_auto.lean | 8dd631cf334e850fc520b64e82625353e88bdea2 | [] | 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 | 4,405 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.algebra.order
import Mathlib.Lean3Lib.init.meta.default
universes u
namespace Mathlib
... |
4c0ed602123083ebfc14944680de2cb6ac59ebea | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Inductive.lean | f3d98d0587b2cedffd9fdc80bb8e6bc47b747df7 | [
"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 | 40,101 | 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.ForEachExprWhere
import Lean.Util.ReplaceLevel
import Lean.Util.ReplaceExpr
import Lean.Util.CollectLevelParams
import Lean.Meta.Constructi... |
993c9111af8fd42c5d35053c1a8274b90df0e5b9 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/nat_bug4.lean | db3c094f3515a3d2a63711d339cb56beffdbf268 | [
"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 | 489 | lean | import logic
open eq.ops
namespace experiment
inductive nat : Type :=
| zero : nat
| succ : nat → nat
namespace nat
definition add (x y : nat) : nat := nat.rec x (λn r, succ r) y
infixl `+` := add
definition mul (n m : nat) := nat.rec zero (fun m x, x + n) m
infixl `*` := mul
axiom mul_succ_right (n m : nat) : n * suc... |
33142eb589a5d6aa603a0c63b596619690364378 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/tactic/equiv_rw.lean | cdb126215d85b48f1c747bc4d6fdc304ca716681 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,308 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category.equiv_functor
/-!
# The `equiv_rw` tactic transports goals or hypotheses along equivalences.
The basic syntax is `equiv_rw e`, where `e : α ≃ β` is ... |
346758bf274e65bd34bcd26c08381aa54ad7f414 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/setoid/partition.lean | 279e8a17421affc1bdcff102c7f56da18368db16 | [
"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 | 16,769 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston, Bryan Gin-ge Chen, Patrick Massot
-/
import data.fintype.basic
import data.set.finite
import data.setoid.basic
import order.partition.finpartition
/-!
# Equival... |
6f90d24f46c7baa0506d174f9f71198fee550ed2 | efce24474b28579aba3272fdb77177dc2b11d7aa | /src/homotopy_theory/topological_spaces/disk_sphere.lean | 4ba24742a59db25356c26d96c5e008cae78f9a75 | [
"Apache-2.0"
] | permissive | rwbarton/lean-homotopy-theory | cff499f24268d60e1c546e7c86c33f58c62888ed | 39e1b4ea1ed1b0eca2f68bc64162dde6a6396dee | refs/heads/lean-3.4.2 | 1,622,711,883,224 | 1,598,550,958,000 | 1,598,550,958,000 | 136,023,667 | 12 | 6 | Apache-2.0 | 1,573,187,573,000 | 1,528,116,262,000 | Lean | UTF-8 | Lean | false | false | 1,191 | lean | import .pair
import .precofibration_category
noncomputable theory
namespace homotopy_theory.topological_spaces
open homotopy_theory.cylinder
-- (Provisional?) inductive definition of the disk/sphere pair using cubes.
def unit_pair : pair := pair.mk (*) ∅
def disk_sphere_pair (n : ℕ) : pair := nat.rec unit_pair (λ _ ... |
4527daf2a021e4bfc4e87e9b7a8694d276216dfb | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/category/PartialFun.lean | bef9af2a87470ef3a9a3a562df0b0d13d96a5e43 | [
"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 | 6,376 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import category_theory.category.Pointed
import data.pfun
/-!
# The category of types with partial functions
This defines `PartialFun`, the category of types equipped wi... |
10662b4f4681196be59d09fc42dc1ef07f4aadc5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/set/pairwise.lean | 251ba470614af63266e82647be2c669fa21deb7a | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 17,116 | 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 logic.relation
import logic.pairwise
import data.set.lattice
/-!
# Relations holding pairwise
This file develops pairwise relations and defines pairwise disj... |
116eb7b2b0054ac4283a9c54a019ea0d63e0498e | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/omega/int/form.lean | 32b36b7a6977dd9d358581eb36cb6cd490beac54 | [
"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 | 4,172 | lean | /- Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
Linear integer arithmetic formulas in pre-normalized form. -/
import tactic.omega.int.preterm
namespace omega
namespace int
/-- Intermediate shadow syntax for LNA formulas that ... |
66de935fdf03d8122d916ccb315760d5c00a27f5 | eb26130db204786b069bd0025a0fc00ed6a75a37 | /src/PFA1.lean | f55bc47e7379f5b08f129c05650f7b5a14f3ac6a | [] | no_license | ADedecker/functional-compare | 2c8278552a88619e69c7f5fd7c6175f09eff5f7f | 1683669a9a1fe81b058d2cc6e000a7144626e80d | refs/heads/master | 1,671,063,268,800 | 1,599,641,367,000 | 1,599,641,367,000 | 293,919,218 | 0 | 1 | null | 1,599,641,369,000 | 1,599,596,672,000 | Lean | UTF-8 | Lean | false | false | 899 | lean | -- **Déclaration globale d'une constante**
def x := 2
def y := x + 4
-- Attention, par défaut Lean voit *toujours* un entier naturel.
-- Pour définir autre chose, il faut spécifier un type
def z : ℤ := -4
-- **Déclaration globale d'une fonction**
-- Directement :
def square (n : ℤ) := n*n
-- En utilisant une foncti... |
37eb271e61b4e51a658c8cb062f73dd4e1da6873 | 93b17e1ec33b7fd9fb0d8f958cdc9f2214b131a2 | /src/sep/quot.lean | c33c9b56b4c82fd43bb264e04a9eb81d6cc37449 | [] | no_license | intoverflow/timesink | 93f8535cd504bc128ba1b57ce1eda4efc74e5136 | c25be4a2edb866ad0a9a87ee79e209afad6ab303 | refs/heads/master | 1,620,033,920,087 | 1,524,995,105,000 | 1,524,995,105,000 | 120,576,102 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 661 | lean | /- Quotient algebras
-
-/
import .basic
namespace Sep
universe ℓ
-- Quotient by an ideal
def QuotAlg (A : Alg.{ℓ}) {I : Set A} (Iideal : I.Ideal) : Alg
:= { τ := {a // ¬ a ∈ I}
, join := λ x₁ x₂ x₃, A.join x₁.1 x₂.1 x₃.1
, comm := λ x₁ x₂ x₃ H, A.comm H
, assoc := λ x₁ x₂ x₃ x₁x₂ x₁x₂x₃ H₁₂ H₁₂₃
... |
2fbc1e687de07e74ec5ead6da6b98bafb6a7aeb1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/funext.lean | e9e166186a652f26081260212b699ccc5476ae32 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,019 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Extensional equality for functions, and a proof of function extensionality from quotients.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.quot
import ... |
c8912d297cbdf92c155a6366c6f4c85c47c165ac | 85a51a7a118db552510ddb311e53e7a8bba7b477 | /src/for_mathlib/filter_basic.lean | e9599b1e0d7a96563e372106454d1520045a1ed4 | [] | no_license | ADedecker/nonstandard | f0c1cac7482bb0dd48d2f2eb092f5262ff0fa2dc | c32f5e1d87cc9e6410d66cf3080fd8c4a47cf5e4 | refs/heads/master | 1,686,549,196,023 | 1,626,129,788,000 | 1,626,129,788,000 | 382,594,533 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 465 | lean | import order.filter.basic
namespace filter
lemma eventually.choice {α β : Type*} {r : α → β → Prop} {l : filter α}
[l.ne_bot] (h : ∀ᶠ x in l, ∃ y, r x y) : ∃ f : α → β, ∀ᶠ x in l, r x (f x) :=
begin
classical,
use (λ x, if hx : ∃ y, r x y then classical.some hx
else classical.some (classical.some_... |
789ca24cf9b37727c203fc87c61e87c8312b4142 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/category/Module/basic.lean | 0cfad71ec2d2cd603eca1952fcd7a2d773e2d76f | [
"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 | 5,616 | 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.basic
import category_theory.concrete_category
import category_theory.limits.shapes.kernels
import category_theory.... |
4752a994b90589fb54202cf1ae51ab3ff316f488 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/541a.lean | 4cce67376bba434df6298870b9542ce9e9c5d4b0 | [
"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 | 805 | lean | import data.list data.nat
open nat list eq.ops
section
variable {Q : Type}
definition f : list Q → ℕ -- default if l is empty, else max l
| [] := 0
| (h :: t) := f t + 1
theorem f_foo : ∀{l : list Q}, ∀{q : Q}, q ∈ l → f l ≥ 1
| [] := take q, assume Hq, absurd Hq !not_mem_nil
| [h] ... |
566b3769c0c53785adaa59ed25f8844e9ee1c713 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/homotopy/hopf.hlean | 5300e9c3c39db89b57b4388e72b6d39f731eb977 | [
"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 | 6,787 | hlean | /-
Copyright (c) 2016 Ulrik Buchholtz and Egbert Rijke. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz, Egbert Rijke
H-spaces and the Hopf construction
-/
import types.equiv .wedge .join
open eq eq.ops equiv is_equiv is_conn is_trunc trunc susp join
... |
28230da916d9df7914f445811e15c2816cc658f6 | 28be2ab6091504b6ba250b367205fb94d50ab284 | /src/game/world8/level5.lean | 1e164cc00a0d9c22ce55031745b82a57b7a8db56 | [
"Apache-2.0"
] | permissive | postmasters/natural_number_game | 87304ac22e5e1c5ac2382d6e523d6914dd67a92d | 38a7adcdfdb18c49c87b37831736c8f15300d821 | refs/heads/master | 1,649,856,819,031 | 1,586,444,676,000 | 1,586,444,676,000 | 255,006,061 | 0 | 0 | Apache-2.0 | 1,586,664,599,000 | 1,586,664,598,000 | null | UTF-8 | Lean | false | false | 954 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world8.level4 -- hide
namespace mynat -- hide
/-
# Advanced Addition World
## Level 5: `add_right_cancel`
The theorem `add_right_cancel` is the theorem that you can cancel on the left
when you're doing addition -- if `a + t = b + t` then `a = b`. ... |
1d0f6d29535540f821d4b3ddf3594ddc41f1ae1a | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /src/01_Equality/07_tactics.lean | 4ab9649269b1a45cf8d5d4ba499ff8423424a6b2 | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 3,190 | lean | /-
We've already seen that we can assert
that a proposition is true by defining
a variable to have that proposition as
its type, and we can prove the proposition
by assigning a proof term to the variable.
-/
lemma zeqz : 0 = 0 := eq.refl 0
/-
Sometimes it's harder to write an exact
proof term (here, eq.refl 0). In th... |
b3ecb9f49ac670ae9dc2298dd4f1dab582b44021 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/MultGroup.lean | aa1ae2da8fef4938d38cd22ce407041f15395182 | [] | 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 | 9,582 | 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 MultGroup
structure MultGroup (A : Type) : Type :=
(times : (A → (A → A)))
(one : A)
(lunit_one : (∀ {x : A} , (times one x) = x))
(runit_one : (∀... |
fbe4a7e14463079c2bf19f71f52f80a8065174be | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world8/level6.lean | 9a8f4831a7f9127d004fd076b44828645de162e6 | [
"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 | 281 | lean | import mynat.definition
import mynat.add
import world2.level4
import world8.level5
namespace mynat
theorem add_left_cancel (a t b : mynat) : t + a = t + b → a = b :=
begin [nat_num_game]
rw add_comm t a,
rw add_comm t b,
exact add_right_cancel a t b,
end
end mynat |
b29d2a96c55f6b9a8741d1d45adf0c0c4ecd8679 | 4dbc106f944ae08d9082a937156fe53f8241336c | /src/data/finmap.lean | d979a55fcc495dc4a9a17baba54aa242f7303540 | [] | no_license | spl/lean-finmap | feff7ee53811b172531f84b20c02e50c787fe6fc | 936d9caeb27631e3c6cf20e972de4837c9fe98fa | refs/heads/master | 1,584,501,090,642 | 1,537,511,660,000 | 1,537,515,626,000 | 134,227,269 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,204 | lean | import data.finset data.multiset.dict data.pfun logic.function
local attribute [-simp] sigma.forall sigma.exists
universes u v
/-- Finite map: a multiset of dependent pairs with no duplicate keys -/
structure finmap (α : Type u) (β : α → Type v) : Type (max u v) :=
(val : multiset (sigma β))
(nodupkeys : val.nodupke... |
182beb9c2d63ec11c04259eb621248e22c1344d3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/matrix/basis.lean | 6064a764e2492a504d76111c09dd873f707d9a2c | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 9,889 | 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.nonsingular_inverse
import linear_algebra.matrix.reindex
import linear_algebra.matrix.to_lin
/... |
f2a566108696d9467a9c2a23d44216f6d664ce84 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/geometry/manifold/cont_mdiff.lean | 9839fc53ae3ba91f6ad9b9c528895cb9c32d6372 | [
"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 | 83,343 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import geometry.manifold.mfderiv
import geometry.manifold.local_invariant_properties
/-!
# Smooth functions between smooth manifolds
We define `Cⁿ` functions... |
7501b4310a984219c08d035352714736d6a7467d | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/algebra/ac.lean | 76c644b44904d26c7c9f2055ff44d424f1d34340 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 422 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.logic
universe variables u
class is_associative (α : Type u) (op : α → α → α) :=
(assoc : ∀ a b c, op (op a b) c = op a (op b c))
clas... |
50914a4633af85a5c447874165535507517a4004 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/algebra/infinite_sum.lean | cef208725e4cc2c5b999d2144f759cdb94e01aec | [
"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 | 35,430 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Infinite sum over a topological monoid
This sum is known as unconditionally convergent, as it sums to the same value under all possible
permutations. For Euclidean spa... |
470f40430f026099612f90a804ff5f812ac528fd | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/inner_product_space/calculus.lean | 74af70e275aee63c43cfde7969e3263e83e953dc | [
"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 | 15,743 | 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 analysis.inner_product_space.pi_L2
import analysis.special_functions.sqrt
/-!
# Calculus in inner product spaces
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.... |
00b543c0cad8a54ba07def01eefb54bc2582d14c | ccb7cdf8ebc2d015a000e8e7904952a36b910425 | /src/example.lean | 9aba2f52171e92372430ceead8f797fea93b3da8 | [] | no_license | cipher1024/lean-pl | f7258bda55606b75e3e39deaf7ce8928ed177d66 | 829680605ac17e91038d793c0188e9614353ca25 | refs/heads/master | 1,592,558,951,987 | 1,565,043,356,000 | 1,565,043,531,000 | 196,661,367 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,275 | lean |
import spec
namespace examples
namespace circular_buffer
export memory (ptr)
open separation separation.hProp
def val := ptr
@[reducible] def IO (α : Type) := ST val punit α
open function list
instance ptr.storable : is_record val ptr :=
separation.separation.is_record
instance tptr.storable {α} : is_record val ... |
5b5444fbe13d7b47aa938a2cbe610ccaae7bbc44 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/applications_lineaires/cpge_applin_5_b.lean | 0cb2ec5250931cdc2d66540bda9e9569fa693fbd | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 404 | lean | import algebra.module.linear_map
import linear_algebra.basic
import data.real.basic
theorem cpge_applin_5_b
(R : Type*) (M : Type*) (X : Type*)
[field R] [add_comm_group M] [module R M] [set X]
[add_comm_group (X -> M)] [module R (X -> M)] :
∀ (a : X), ∃ g : linear_map R (X->M) M, ((λf : X -> M, f a) = g ∧ (g.ker.... |
dab862b06698334f96a956fccb4ee04ffeecc9ce | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Elab/Util.lean | 3f9d4f7136e5f758e8aa7e741feb010bb405fade | [
"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 | 7,733 | 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... |
f6a444c1abb005367c19f4b25fe0d8e3ce9f9173 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Transform/Tactic.lean | e88f8c225e2bccb57e790b2a0861b44923b14e35 | [
"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 | 5,489 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import Mathport.Syntax.Transform.Basic
import Lean
namespace Mathport
namespace Transform
open Lean Elab Mathlib.Tactic
def trHaveArgs (id : TSyntax ``optBind... |
547f957fa84d766a0ecba33d51dd04646e8bed31 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /tests/lean/hidingInaccessibleNames.lean | fffa3cbb52643c638884d1b6cb6476a10d3e7563 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 688 | lean | def f : (xs : List Nat) → Nat → xs ≠ [] → Nat
| [], _, _ => _
| [a,b], _, _ => _
| _, _, _ => _
set_option pp.inaccessibleNames true in
def f' : (xs : List Nat) → Nat → xs ≠ [] → Nat
| [], _, _ => _ -- TODO: figure out why hyp `Ne (α := List Nat) x✝² []` needs α
| [a,b], _, _ => _
| _, _, _ => _
theorem ... |
05845c7f64f3971dd3361af9afb9724c8940d325 | 4e0d7c3132ce31edc5829849735dd25db406b144 | /lean/love03_forward_proofs_exercise_sheet.lean | 860b8f1c7799615e1cbd140b3b589d65b9752673 | [] | no_license | gonzalgu/logical_verification_2020 | a0013a6c22ea254e9f4d245f2948f0f4d44df4bb | 724d0457dff2c3ff10f9ab2170388f4c5e958b75 | refs/heads/master | 1,660,886,374,533 | 1,589,859,641,000 | 1,589,859,641,000 | 256,069,971 | 0 | 0 | null | 1,586,997,430,000 | 1,586,997,429,000 | null | UTF-8 | Lean | false | false | 4,020 | lean | import .lovelib
/-! # LoVe Exercise 3: Forward Proofs -/
set_option pp.beta true
namespace LoVe
/-! ## Question 1: Connectives and Quantifiers
1.1. Supply structured proofs of the following lemmas. -/
lemma I (a : Prop) :
a → a :=
assume ha : a,
show a, from ha
lemma K (a b : Prop) :
a → b → b :=
assume ... |
6454a052fa1c1d38917ce7f1dfe5437e5969ccf3 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/direct_sum/finsupp.lean | e3f7e6ddc13a7798a46aacb4cd1232631c1b0633 | [
"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 | 3,664 | 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 algebra.direct_sum.finsupp
import linear_algebra.finsupp
import linear_algebra.direct_sum.tensor_product
import data.finsupp.to_dfinsupp
/-!
# Results on fini... |
b7c420d53f9626f14457f8c4138ebb424606260e | 5df84495ec6c281df6d26411cc20aac5c941e745 | /src/formal_ml/classical.lean | 181362b07797273f5e26ca8a8529352828857fb1 | [
"Apache-2.0"
] | permissive | eric-wieser/formal-ml | e278df5a8df78aa3947bc8376650419e1b2b0a14 | 630011d19fdd9539c8d6493a69fe70af5d193590 | refs/heads/master | 1,681,491,589,256 | 1,612,642,743,000 | 1,612,642,743,000 | 360,114,136 | 0 | 0 | Apache-2.0 | 1,618,998,189,000 | 1,618,998,188,000 | null | UTF-8 | Lean | false | false | 1,151 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
adb574701eeb221ea6c8058cb70eb7f68e0be9b0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/idempotents/karoubi.lean | 7913e1a3cc043887b0338d205f0f8b8f2218e887 | [
"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 | 9,332 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import category_theory.idempotents.basic
import category_theory.preadditive.additive_functor
import category_theory.equivalence
/-!
# The Karoubi envelope of a category
> TH... |
d807997c055b45b73715e6a67f15cd78f26e577a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/deriv/linear.lean | 45198e21eb2b0c3af9f9f1bbbdea9ec1007fb90e | [
"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 | 2,762 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Yury Kudryashov
-/
import analysis.calculus.deriv.basic
import analysis.calculus.fderiv.linear
/-!
# Derivatives of continuous linear maps from the base field
> THIS FI... |
34cd4c2403d1c0be88970680c6a3f730ef86825b | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/data/setoid/basic.lean | 32be4b9f1fc73b9b40b97842867fdb30c2ecc3c9 | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 16,458 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston, Bryan Gin-ge Chen
-/
import order.galois_connection
/-!
# Equivalence relations
This file defines the complete lattice of equivalence relations on a type, resul... |
efdb80ac52738c085fe156118d7f70b8982eabc0 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/lie/submodule.lean | 41df037476c8d4b941f3a24714498fbed3f7d8c1 | [
"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 | 38,419 | 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 algebra.lie.subalgebra
import ring_theory.noetherian
/-!
# Lie submodules of a Lie algebra
In this file we define Lie submodules and Lie ideals, we construct the l... |
a89c44e5afc16c6b2c0a88cb1133e3e2a4218980 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/instance_cache.lean | 8a2dd531378dbe6957a986e2366fa0a49575dc5c | [
"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 | 1,333 | lean | import tactic.cache
meta def assert_frozen_instances : tactic unit := do
frozen ← tactic.frozen_local_instances,
when frozen.is_none $ tactic.fail "instances are not frozen"
example (α) (a : α) :=
begin
haveI h : inhabited α := ⟨a⟩,
assert_frozen_instances,
exact (default : α)
end
example (α) (a : α) :=
begin
... |
c843ec6bd1ff893dd5d2a3968446907ef2e17be7 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/data/polynomial/degree/definitions.lean | 4b8522c523db61e7fb83450e9e972ea66deefb23 | [
"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 | 36,635 | 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... |
5e0ffc95b517a0307396d66c3f587951619bbac2 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/polynomial/eisenstein.lean | 096d48fa5725161227460809c15e25079f7967b1 | [
"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 | 28,673 | lean | /-
Copyright (c) 2022 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import ring_theory.eisenstein_criterion
import ring_theory.integrally_closed
import ring_theory.norm
import ring_theory.polynomial.cyclotomic.basic
/-!
# Eisenste... |
567c5a9598b90ed9789fe5d6d3ce7a0563429655 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/analysis/calculus/inverse.lean | 7c16c32bba91a43a5a1b22981c717a45e7b97b9f | [
"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 | 21,344 | 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 analysis.calculus.deriv
import topology.local_homeomorph
import topology.metric_space.contracting
/-!
# Inverse function theorem
In this file we prove the... |
19a6184b5a42a3b5fe378d0b1975fda351786226 | de91c42b87530c3bdcc2b138ef1a3c3d9bee0d41 | /expressions/expr_base.lean | 4e26a090b8fa4803295869038ae2f886c42b31b9 | [] | no_license | kevinsullivan/lang | d3e526ba363dc1ddf5ff1c2f36607d7f891806a7 | e9d869bff94fb13ad9262222a6f3c4aafba82d5e | refs/heads/master | 1,687,840,064,795 | 1,628,047,969,000 | 1,628,047,969,000 | 282,210,749 | 0 | 1 | null | 1,608,153,830,000 | 1,595,592,637,000 | Lean | UTF-8 | Lean | false | false | 30 | lean | structure var := (nm : string) |
5a2f1fda49481cf99ec925ee41ebdae25b8f1d4f | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/bench/rbmap4.lean | 91770084467a7000aacf0cd6f3d80ede95f74704 | [
"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 | 2,845 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.coe init.data.option.basic init.system.io
universes u v w w'
inductive color
| Red | Black
inductive Tree
| Leaf {} ... |
882985587a8169eca6b51248f26d053bbbaf33e7 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebraic_geometry/Scheme.lean | 64bd4103cb64943aadee4400a415e4625c9aed32 | [
"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 | 3,767 | 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 algebraic_geometry.Spec
/-!
# The category of schemes
A scheme is a locally ringed space such that every point is contained in some open set
where there is a... |
5af13a1b1c8a164e1c39b96219bb057793570bb6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monad/limits.lean | 31bac6c46e2d7419ebe02d48930812df5d6e46fc | [
"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 | 15,339 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.monad.adjunction
import category_theory.adjunction.limits
import category_theory.limits.shapes.terminal
/-!
# Limits and colimit... |
b1c47d318f4d8c248dbd9d14382c8d130eb203b8 | 19cc34575500ee2e3d4586c15544632aa07a8e66 | /src/number_theory/arithmetic_function.lean | ad3dd53b5c0ab6330c1645177a3eb8df106e5b75 | [
"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 | 18,918 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.big_operators.ring
import number_theory.divisors
/-!
# Arithmetic Functions and Dirichlet Convolution
This file defines arithmetic functions, which a... |
5e6c8c5d49e5d0586af71efb7fb6d82409035bd0 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/pp_no_proofs.lean | 8899794a56a8f189f6a9de05917b447458af6ffa | [
"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 | 392 | lean | --
open nat
constants (P : ∀ {t:true}, ℕ → Prop) (P0 : @P trivial 0)
(Ps : ∀ {n}, @P trivial n → @P trivial (succ n))
(f : Π {n}, @P trivial n → ℕ)
noncomputable definition messy := f (Ps (Ps (Ps (Ps (Ps (Ps P0))))))
#reduce messy
set_option pp.proofs false
#reduce messy
set_option pp.implicit tr... |
5abbd85c9b718bd727d6195bafdb2091a37e0fa0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/sums/default.lean | bc466880ac5de4a49561acb67a7ac496f70f9758 | [
"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 | 39 | lean | import category_theory.sums.associator
|
4797008664ed6a2bf219edef5e08cf1101ba02f3 | 367134ba5a65885e863bdc4507601606690974c1 | /src/group_theory/group_action/basic.lean | fa82ace2bc3d5f8b1c031ee3de539a77f4b67b9a | [
"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 | 7,617 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import group_theory.group_action.defs
import group_theory.group_action.group
import group_theory.coset
/-!
# Basic properties of group actions
-/
universes u v w
variab... |
aa382f0b3db9f89f56cf382af3e710b9732609d4 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/lattice.lean | 5cc1b81d6474ab8afec94612ebc03896063a0153 | [
"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 | 11,457 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro,
Scott Morrison
-/
import data.list.count
import data.list.infix
/-!
# Lattice structure of list... |
7d0eda2da7e206e77e723845dc6fc8c14ac3ec01 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/linear_pmap.lean | a20d1d6a41afbf451481deb185e99c8343ddf7b5 | [
"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 | 30,111 | lean | /-
Copyright (c) 2020 Yury Kudryashov All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Moritz Doll
-/
import linear_algebra.basic
import linear_algebra.prod
/-!
# Partially defined linear maps
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to... |
489630bbe0c5357512e190b6b59e6130140c9a46 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Lean/Meta/InferType.lean | 6f8235b51f16973f1b926d96387623f36b3cd761 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 17,260 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data.LBool
import Lean.Meta.Basic
namespace Lean
/-
Auxiliary function for instantiating the loose bound variables in `e` with `args[start:sto... |
77793b4650b86d217ffe3984568e76b9a67b7e4d | 92b50235facfbc08dfe7f334827d47281471333b | /tests/lean/run/forest_height.lean | aa9460f6a4595851d8cd59c1debde7a6be5dbb68 | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 4,298 | lean | import data.nat.basic data.sum data.sigma data.bool
open nat sigma
inductive tree (A : Type) : Type :=
| node : A → forest A → tree A
with forest : Type :=
| nil : forest A
| cons : tree A → forest A → forest A
namespace manual
check tree.rec_on
definition tree.height {A : Type} (t : tree A) : nat :=
tree.rec_on t
... |
f6ec15693cdbaf4498cdd2f90caf02b163c77a4b | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /src/solve.lean | 1acda6b507c2cce6c71ac7e29bfe2f1062694cc7 | [] | 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 | 13,473 | lean | import exp_sum_eq_zero
import base_case
import choose_letters
import no_exp_sum_zero
import solve_by_subst
import no_letters
import golf
open semidirect_product
meta def solve : Π ⦃ι : Type⦄ [decidable_eq ι]
(r : free_group ι) (T : set ι) [decidable_pred T],
by exactI solver r T :=
λ ι _ r T _ w, by exactI
let ... |
3c7610d8c4f25b1e0a5f32faaa9cbbf879080d74 | 8cd4726d66eec7673bcc0325fed07d5ba5bf17c4 | /hw4.lean | 424b95da73af3cb2c47a043f41a89a44ac838a72 | [] | no_license | justinqcai/CS2102 | 8c5fddedffa6147fedd4b6ee7d5d39fc21f0ddab | d309f0db3f1df52eb77206ee1e8665a3b49d7a0c | refs/heads/master | 1,590,108,991,894 | 1,557,610,044,000 | 1,557,610,044,000 | 186,064,169 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,214 | 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... |
b7a26d5fe6d3a13226bf813a1b7dd0b70bad97b4 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/algebra/group/basic.lean | 2ea391779086364e7bcd9e4b65f8822994450cce | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 9,769 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Simon Hudon, Mario Carneiro
-/
import algebra.group.to_additive
import logic.function.basic
attribute [simp] sub_neg_eq_add
/-!
# Extra identities for semigroups, monoi... |
dce09d43ca47441b50cca58acc8a79ef3d715c53 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finset/sigma.lean | 6b24cf5fc1a91c2b1c1ca4bc612eda122a89e159 | [
"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 | 5,822 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yaël Dillies, Bhavik Mehta
-/
import data.finset.lattice
import data.set.sigma
/-!
# Finite sets in a sigma type
This file defines a few `finset` constructions on `Σ ... |
f8169f0394b6fd64e6f7d7bc0923d60631a0bf1a | ea11767c9c6a467c4b7710ec6f371c95cfc023fd | /src/monoidal_categories/examples/types/monoidal_category_of_types.lean | dd155d68c86afa0ded0f6203b885b94fb36dc654 | [] | no_license | RitaAhmadi/lean-monoidal-categories | 68a23f513e902038e44681336b87f659bbc281e0 | 81f43e1e0d623a96695aa8938951d7422d6d7ba6 | refs/heads/master | 1,651,458,686,519 | 1,529,824,613,000 | 1,529,824,613,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 686 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import ...braided_monoidal_category
import ...monoidal_structure_from_products
import categories.types
namespace categories.types
open categorie... |
29c0c840114ae490f6ab00e77cc935cd63c1af39 | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/hints/category_theory/exercise3/hint6.lean | 1e7a339977c0d03f1523ac608c78e1aefc6c890f | [] | no_license | fundou/lftcm2020 | 3e88d58a92755ea5dd49f19c36239c35286ecf5e | 99d11bf3bcd71ffeaef0250caa08ecc46e69b55b | refs/heads/master | 1,685,610,799,304 | 1,624,070,416,000 | 1,624,070,416,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 574 | lean | import category_theory.equivalence
open category_theory
variables {C : Type*} [category C]
variables {D : Type*} [category D]
/-!
Let's get started on the second half of the exercise.
-/
lemma equiv_preserves_mono {X Y : C} (f : X ⟶ Y) [mono f] (e : C ≌ D) :
mono (e.functor.map f) :=
begin
-- Again I've started... |
2b11fe978f3f060a4121848b85b5004b5b9d043c | a4673261e60b025e2c8c825dfa4ab9108246c32e | /stage0/src/Lean/ToExpr.lean | fcefb058763d2b3dab9dd503807656dc4ff95102 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,697 | 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.Expr
universe u
namespace Lean
class ToExpr (α : Type u) :=
(toExpr : α → Expr)
(toTypeExpr : Expr)
export ToExpr (toExpr toTypeExpr)
in... |
79be5ea330d59bb048a3b298a169756d92e6a013 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/simple_module.lean | 86aa419277002afd04885167f791303b8a9c35a4 | [
"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 | 5,319 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import linear_algebra.basic
import order.atoms
/-!
# Simple Modules
## Main Definitions
* `is_simple_module` indicates that a module has no proper submodules
(... |
8748457a236594403b40367e9b21ea4d6e3b80cd | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/metric_space/isometry.lean | 8bf04ee6637d2a6b9617575b85dd14a063a56665 | [
"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 | 18,952 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: Sébastien Gouëzel
-/
import topology.bounded_continuous_function
import topology.compacts
/-!
# Isometries
We define isometries, i.e., maps... |
1f2224314c8d884eb85d1af35fc1bcf9d23029a3 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/category_theory/natural_isomorphism.lean | 7d7eff80d329b4a15888575b313a38a7d4e5aa77 | [
"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 | 5,489 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
-/
import category_theory.functor_category
import category_theory.isomorphism
open category_theory
universes v₁ v₂ v₃ v₄... |
83bddae3bd8718435758172c6f4ead9b047cbb13 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/deprecated/subgroup.lean | d44481cb736145257a6d548824f11c93364d9a36 | [
"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 | 25,120 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mitchell Rowett, Scott Morrison, Johan Commelin, Mario Carneiro,
Michael Howes
-/
import group_theory.subgroup.basic
import deprecated.submonoid
/-!
# Unbundled subgr... |
6268cf02f921f3872bc3081ac84411ec2ff600dd | 3d1007ef1e9e4040cf016d87cf9e6494be0c29fd | /src/discrete_valuation_ring/basic.lean | da4fdd1bc1d5b3e19df1f9a239665e65dd468b4e | [] | no_license | ImperialCollegeLondon/local-fields | 77e535111bb9841bcbea4a45c37a742085366e41 | 18ae1205b3fddd43b7447c6f090940f07cb2c52b | refs/heads/master | 1,609,728,387,873 | 1,581,629,682,000 | 1,581,629,682,000 | 240,342,840 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 264 | lean | import ring_theory.principal_ideal_domain
/-!
Basic theory of DVRs
-/
set_option old_structure_cmd true
class discrete_valuation_ring (R : Type*) extends principal_ideal_domain R,
local_ring R :=
(exists_nonzero_nonunit : ∃ a : R, a ≠ 0 ∧ ¬ is_unit a)
|
cecd0769b93204b5894cfabc92bfd82820969844 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/finset/nat_antidiagonal.lean | bf3d7ca1235b2aaff392cd019c920c374bdcb588 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 2,636 | lean | /-
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import data.finset.basic
import data.multiset.nat_antidiagonal
/-!
# Antidiagonals in ℕ × ℕ as finsets
This file defines the antidiagonals of ℕ × ℕ as finsets: the ... |
3ab4aa8fb32746efe883b9a4a9ebc3fdfb6b5c4d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/lie/classical_auto.lean | 400c70e80cc7da48bfbf45dab3dde0d2ab7a4b7c | [] | 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 | 14,389 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.invertible
import Mathlib.algebra.lie.skew_adjoint
import Mathlib.linear_algebra.matrix
i... |
956ce12ec699e45bda844d42e45afe90ed871338 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/essentially_small.lean | 99b2104c7cefd98553f8e786db89172f00f8615f | [
"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 | 1,647 | lean | /-
Copyright (c) 2022 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.shapes.products
import category_theory.essentially_small
/-!
# Limits over essentially small indexing categories
> THIS FILE IS SYNCHRON... |
d3108fef17dac241cc600a6b720601c0110c0fdf | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /algebra/ring.lean | 56d9e242a585aab028ec3e562dade17e25cacda8 | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 5,932 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Floris van Doorn
-/
open eq
universe variable uu
variable {A : Type uu}
/- ring -/
section
variables [ring A] (a b c d e : A)
theorem mul_add_e... |
ee46a5bb6d1e793b0117a1c90474b7532892290b | c8af905dcd8475f414868d303b2eb0e9d3eb32f9 | /src/data/cpi/name.lean | 2ca756cee791e0a402e888cd935e909a22c5454d | [
"BSD-3-Clause"
] | permissive | continuouspi/lean-cpi | 81480a13842d67ff5f3698643210d8ed5dd08de4 | 443bf2cb236feadc45a01387099c236ab2b78237 | refs/heads/master | 1,650,307,316,582 | 1,587,033,364,000 | 1,587,033,364,000 | 207,499,661 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,002 | lean | /- The definition of environments, contexts and names within the continuous-π
calculus.
Names are represented as de Bruijn indicies for obvious reasons. We use the
same representation of names as [1], indexing them by the context that they
exist in. This ensures that names are always well formed, thus avoi... |
cc55ac1b1945f671dd90ad3d67db934b07436d3f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/flat.lean | 7e0bae6227572ba4b7774781ea52f054e10d3780 | [
"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 | 2,615 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import ring_theory.noetherian
/-!
# Flat modules
A module `M` over a commutative ring `R` is *flat*
if for all finitely generated ideals `I` of `R`,
the canonical ... |
760f6a3d490eb4dd0be071cfdf249abb47850a7d | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/Tactic/BuiltinTactic.lean | 46f7556064de7bc2651bde591c914632724fa2a0 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 14,239 | 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.Refl
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.ElabTerm
namespace Lean.Elab.Tactic
open Meta
open Parser.Tactic
@[buil... |
ae209082628b2b7d9a9f5551e51fdc6a98def50a | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/types.lean | ed0d159202683615cd3286ca7652b30d807ff4c3 | [
"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 | 10,666 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl
-/
import category_theory.fully_faithful
import data.equiv.basic
/-!
# The category `Type`.
In this section we set up the theory so tha... |
ca90a82c3ff6e628bfcd399e00610f36f4deae33 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/do_eqv.lean | 9c3519386ed36e1fcc2a9e7db3c9f142d3ea608e | [
"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 | 1,692 | lean | theorem byCases_Bool_bind [Monad m] (x : m Bool) (f g : Bool → m β) (isTrue : f true = g true) (isFalse : f false = g false) : (x >>= f) = (x >>= g) := by
have : f = g := by
funext b; cases b <;> assumption
rw [this]
theorem eq_findM [Monad m] [LawfulMonad m] (p : α → m Bool) (xs : List α) :
(do for x in x... |
ad1a44a212a63a69aa4cd9b94a724e15a5b1203f | 8930e38ac0fae2e5e55c28d0577a8e44e2639a6d | /computability/turing_machine.lean | d0bc3b849ca7a9fc14dc10b6ae6d5c3d1f3095a9 | [
"Apache-2.0"
] | permissive | SG4316/mathlib | 3d64035d02a97f8556ad9ff249a81a0a51a3321a | a7846022507b531a8ab53b8af8a91953fceafd3a | refs/heads/master | 1,584,869,960,527 | 1,530,718,645,000 | 1,530,724,110,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 61,769 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Define a sequence of simple machine languages, starting with Turing
machines and working up to more complex lanaguages based on
Wang B-machines.
-/
import data.finset da... |
4f6a3abe75f14704b91c75ac9109811ef5bb6d8a | e5c11e5a7d990ce404047c2bd848eeafac3c0a85 | /src/trace.lean | d43dc133dbd7e39a4ed7f9931d50bea1a24d25b9 | [
"LPPL-1.3c"
] | permissive | lean-forward/class-number | 9ec63c24845e46efc8fa8b15324d0815918292c7 | 4fccf36d5e0e16accae84c16df77a3839ad964e4 | refs/heads/main | 1,686,927,014,542 | 1,624,886,724,000 | 1,624,886,724,000 | 327,319,245 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 54,137 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
-/
import order.conditionally_complete_lattice
import field_theory.adjoin
import field_theory.algebraic_closure
import field_theory.galois
import field_theory.primitive_elemen... |
043b9e97d3c997c0c5ebf3b3373931d95ff1baf6 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/analysis/calculus/deriv.lean | 1a805cd277099626dbb7b0725d910e7c741cf8df | [
"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 | 71,663 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sébastien Gouëzel
-/
import analysis.calculus.fderiv
import data.polynomial.derivative
/-!
# One-dimensional derivatives
This file defines the derivative of a function... |
08836148ec03451884d0467576994ad65b22e2d0 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/idempotents/functor_extension.lean | cd9bdb86f05fcd2dc734b9af09fc0ae9426fc62f | [
"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 | 4,118 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import category_theory.idempotents.karoubi
/-!
# Extension of functors to the idempotent completion
In this file, we construct an extension `functor_extension₁`
of functors ... |
56904e7ed227c1402e9b1cee323f8d3734ddc837 | 41e069072396dcd54bd9fdadb27cfd35fd07016a | /src/apps/examples.lean | 15659d9544c01ff6e6a17861fd49f3df2132bd27 | [
"MIT"
] | permissive | semorrison/ModalTab | 438ad601bd2631ab9cfe1e61f0d1337a36e2367e | cc94099194a2b69f84eb7a770b7aac711825179f | refs/heads/master | 1,585,939,884,891 | 1,540,961,947,000 | 1,540,961,947,000 | 155,500,181 | 0 | 0 | MIT | 1,540,961,175,000 | 1,540,961,175,000 | null | UTF-8 | Lean | false | false | 358 | lean | import .topo_translation ..K.jump
open nnf
def boom : nnf := dia (and (var 1) (neg 1))
-- #eval is_sat [boom]
-- #check tableau [boom]
def topo_fact_of (φ : nnf) : psum (∀ (α) (tm : topo_model α) s, ¬ topo_force tm s φ) unit :=
match tableau [φ] with
| node.closed _ h _ := psum.inl $ not_topo_force_of_unsat h
| no... |
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