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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9b0095a6d6d99761b6d1ed921b1980028e41e4b9 | f57749ca63d6416f807b770f67559503fdb21001 | /library/data/finset/basic.lean | 609e4e14bc91bf23fa2a6e24d383bacc833eb762 | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,239 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad
Finite sets.
-/
import data.fintype.basic data.nat data.list.perm data.subtype algebra.binary
open nat quot list subtype binary function eq.ops
... |
718bb772ac5dc3c35e29cb8d63942bbaf7ab7327 | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/topology/algebra/ordered.lean | 4a36c131a552c3948cb8a1dbeb81820ac91cf47b | [
"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 | 44,552 | 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 ordered topology.
-/
import order.liminf_limsup
import data.set.intervals
import topology.algebra.group
import topology.constructions
open cl... |
8077aa868770f3533159e4c627abf3d560622e7b | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/polynomial/default.lean | b543a6f26b46bd838c97599632ebf34a424444f1 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 141 | lean | import data.polynomial.algebra_map
import data.polynomial.field_division
import data.polynomial.derivative
import data.polynomial.identities
|
d5840e0f54edaf713e611cb2b4dad7b40d40fcc3 | fcf3ffa92a3847189ca669cb18b34ef6b2ec2859 | /src/world8/level13.lean | 74a969ab1f811d131a79cf5ee1fd6876b1b5f24f | [
"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 | 657 | lean | import mynat.definition
import mynat.add
import world8.level4
namespace mynat
theorem ne_succ_self (n : mynat) : n ≠ succ(n) :=
begin [nat_num_game]
induction n with d hd,
{
exact zero_ne_succ 0,
},
{
intro h,
apply hd,
apply succ_inj,
exact h,
},
end
-- th... |
e9cbf56882cc6d5c765062e2c260c32823824ac1 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Parser/Syntax.lean | 1560f9701bd583196bd1fcaacb75b36e67972dba | [
"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 | 6,331 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Command
namespace Lean
namespace Parser
builtin_initialize
registerBuiltinParserAttribute `builtinSyntaxParser ``C... |
e78f3dc6e3b35ff626d3892e9d6de84f618ceda3 | 2de8c1580f92bb6c28b60135f589fe9d0513faba | /src/noetherian.lean | d080360043dd22206d1d8abe510c144dd3ebd974 | [] | no_license | FCL-lean/verification | 44a52e40ab78b18654b8d61bb55c2c912a40d2f4 | be02c698c0ca78b18762e3fe7749cdc72a55d197 | refs/heads/master | 1,585,960,207,309 | 1,560,259,990,000 | 1,560,259,990,000 | 155,650,137 | 0 | 0 | null | 1,541,039,704,000 | 1,541,038,972,000 | Lean | UTF-8 | Lean | false | false | 1,563 | lean | import data.mv_polynomial ring_theory.noetherian ring_theory.polynomial
section division_ring
variables {α : Type*} [decidable_eq α] [division_ring α]
lemma submodule_ne_zero {s : submodule α α} (h : ¬ ↑s = ({0} : set α)) : (1 : α) ∈ s :=
begin
have : ¬ ∀ x ∈ s, x = (0 : α) := λ H, h (begin
ext... |
de731e19fa0a4ecd663f3cae3b0f8a2f42721cdb | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/category/Group/images.lean | 38ddb704cead06d92576f8d56824ff54f616c9b4 | [
"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 | 3,266 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Group.abelian
import category_theory.limits.shapes.images
/-!
# The category of commutative additive groups has images.
Note that we don't n... |
a0aea2488b5d135fbd2d912d0c2d5e502f458cf7 | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/game/world8/level11.lean | bdd7b7445fd945476ca68b6a4b4284cb8ab889f0 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 569 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world8.level10 -- hide
namespace mynat -- hide
/-
# Advanced Addition World
## Level 11: `add_right_eq_zero`
We just proved `add_left_eq_zero (a b : mynat) : a + b = 0 → b = 0`.
Hopefully `add_right_eq_zero` shouldn't be too hard now.
-/
/- Lemma... |
843ed8e118e0c75d5a77353adec0044844db67b7 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/homology/exact.lean | 6f1b0154b59ecd9d017da00a01f10e947d1f038f | [
"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 | 9,467 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import algebra.homology.image_to_kernel
/-!
# Exact sequences
In a category with zero morphisms, images, and equalizers we say that `f : A ⟶ B` and `g : B ⟶ C`
are ex... |
f6e7b9488c8d459125e0c1d151718e62631011be | cc62cd292c1acc80a10b1c645915b70d2cdee661 | /src/category_theory/abelian/abelian.lean | f52b1e748b24791e81315c0c9d7a73c6bde287bc | [] | 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 | 1,588 | 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 category_theory.abelian.monic
-- import category_theory.universal.monic
-- import category_theory.universal.kernels
-- open category_theory
--... |
8b08b6f89262a2c80982b4f6ea0d4721127dcfb1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/linear_algebra/finsupp_vector_space_auto.lean | 4afb003c01ad2d41747e911e9d6e7c4734230e92 | [] | 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 | 4,838 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear structures on function with finite support `ι →₀ β`.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.mv_polynomial.default
impo... |
fad91c910a9fa38bb91c40959e2e2c75cf689a03 | 1446f520c1db37e157b631385707cc28a17a595e | /stage0/src/Init/Lean/Util/WHNF.lean | 9a3ad4c88cd1563994f9c0323ccde6543919678c | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,545 | 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.Declaration
import Init.Lean.LocalContext
namespace Lean
namespace WHNF
/- ===========================
Smart unfolding support
... |
166e0c02f2c193702b12a2975258b330d3d53bc8 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/logic/equiv/fin.lean | afb5793e44a0cd386ad4ffc54e63aac597df2e2c | [
"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 | 15,435 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.fin.vec_notation
import logic.equiv.basic
import tactic.norm_num
/-!
# Equivalences for `fin n`
-/
universes u
variables {m n : ℕ}
/-- Equivalence between `fin ... |
2db3dcd0e98344c14400fb9cb358ffc6d4a337dd | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/data/nat/cast.lean | 9f00f7c4941df45dda0733b2d17699617da74461 | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 4,177 | 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 tactic.interactive algebra.order algebra.ordered_group algebra.ring
namespace nat
varia... |
6cf96e72fbfbc2f1b72e6deb7a43c208c9c240fa | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/1804.lean | 0e7db5d40d32c4d6d548ce733d9df3aaed030e90 | [
"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 | 341 | lean | def inc : StateM Nat Nat := do
let s ← get
modify (· + 1)
return s
def f (x : Bool) : StateM Nat Nat := do
let .true := x | return (← inc)
get
def g (x : Bool) : StateM Nat Nat := do
let .true := x | do return (← inc)
get
#eval g true |>.run' 0 -- `0` as expected
#eval f true |>.run' 0 -- should return... |
ca7988e62658bfd5147a6e5554c8a3256aed624f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/lie/ideal_operations.lean | b1ab8c6d38e2805cdaa8bbd1f0fb033883efe26b | [
"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 | 14,464 | 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.submodule
/-!
# Ideal operations for Lie algebras
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to m... |
abb0de4db0cf2be7503788729710837e0de06a6d | 8e31b9e0d8cec76b5aa1e60a240bbd557d01047c | /src/tableau2.lean | 47670f9bce8d14f6fb13c178b69a09a5e205e630 | [] | no_license | ChrisHughes24/LP | 7bdd62cb648461c67246457f3ddcb9518226dd49 | e3ed64c2d1f642696104584e74ae7226d8e916de | refs/heads/master | 1,685,642,642,858 | 1,578,070,602,000 | 1,578,070,602,000 | 195,268,102 | 4 | 3 | null | 1,569,229,518,000 | 1,562,255,287,000 | Lean | UTF-8 | Lean | false | false | 32,996 | lean | import data.matrix.pequiv data.rat.basic tactic.fin_cases data.list.min_max partition
open matrix fintype finset function pequiv
local notation `rvec`:2000 n := matrix (fin 1) (fin n) ℚ
local notation `cvec`:2000 m := matrix (fin m) (fin 1) ℚ
local infix ` ⬝ `:70 := matrix.mul
local postfix `ᵀ` : 1500 := transpose
s... |
95071833ba9cef520d3b451d387032120759d527 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_safe_log_issue.lean | f0df3dcd4f05655bb6f4b2d0facd3e350f0d18f3 | [
"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 | 676 | lean | import data.real
open real
namespace safe
definition pos (x : ℝ) := x > 0
constants (exp : ℝ → ℝ)
constants (safe_log : Π (x : ℝ), pos x → ℝ)
lemma pos_add {x y : ℝ} : pos x → pos y → pos (x + y) := sorry
lemma pos_mul {x y : ℝ} : pos x → pos y → pos (x * y) := sorry
lemma log_mul [simp] : ∀ (x y : ℝ) (x_pos : po... |
8b638d2b15d4ba04ed7a542db0fb6f41c9a60efc | 0003047346476c031128723dfd16fe273c6bc605 | /src/data/set/intervals.lean | 1749bef71fc2f48c679ccc4935ad07812d841d49 | [
"Apache-2.0"
] | permissive | ChandanKSingh/mathlib | d2bf4724ccc670bf24915c12c475748281d3fb73 | d60d1616958787ccb9842dc943534f90ea0bab64 | refs/heads/master | 1,588,238,823,679 | 1,552,867,469,000 | 1,552,867,469,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,877 | 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
Intervals
Naming conventions:
`i`: infinite
`o`: open
`c`: closed
Each interval has the name `I` + letter for left side + letter... |
1de7337eef2312142daae1067e86fa1faf0aa77c | 3b15c7b0b62d8ada1399c112ad88a529e6bfa115 | /stage0/src/Leanpkg.lean | baca20288c36230b1ce33642b34d5a82bf49bebc | [
"Apache-2.0"
] | permissive | stephenbrady/lean4 | 74bf5cae8a433e9c815708ce96c9e54a5caf2115 | b1bd3fc304d0f7bc6810ec78bfa4c51476d263f9 | refs/heads/master | 1,692,621,473,161 | 1,634,308,743,000 | 1,634,310,749,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,886 | 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.Resolve
import Leanpkg.Git
import Leanpkg.Build
import Lean.Util.Paths
open System
namespace Leanpkg
def readManifest : IO ... |
aecee6647bc37548d30ef50b213ada83e68fae60 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/complex/upper_half_plane/metric.lean | 39d5417caffa58ee443683ae9bdde0c241071506 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 17,514 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.complex.upper_half_plane.topology
import analysis.special_functions.arsinh
import geometry.euclidean.inversion
/-!
# Metric on the upper half-plane... |
049785d239e2a58ea0e9cffb5bb280f934f08f84 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/succ_pred/basic.lean | a657e33acc0b5cddf8635a7e29ad4b19901e1cf2 | [
"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 | 36,983 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import order.complete_lattice
import order.cover
import order.iterate
import tactic.monotonicity
/-!
# Successor and predecessor
This file defines successor and predece... |
1fa0f694c84b3cf93a84de0d035c8acf0a714329 | 675b8263050a5d74b89ceab381ac81ce70535688 | /src/analysis/normed_space/banach.lean | dfec0c4c1e9e8b3a1e87caa6a6b7db8a5f232e4f | [
"Apache-2.0"
] | permissive | vozor/mathlib | 5921f55235ff60c05f4a48a90d616ea167068adf | f7e728ad8a6ebf90291df2a4d2f9255a6576b529 | refs/heads/master | 1,675,607,702,231 | 1,609,023,279,000 | 1,609,023,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,985 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.baire
import analysis.normed_space.operator_norm
/-!
# Banach open mapping theorem
This file contains the Banach open mapping the... |
f0f490125fd4f2a14062efd19b0d37c407e0d66f | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/real/cardinality.lean | af4dbc2f353bdf3795caeb9f4df70fd149f8889b | [
"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 | 9,564 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import set_theory.continuum
import analysis.specific_limits
import data.rat.denumerable
import data.set.intervals.image_preimage
/-!
# The cardinality of the rea... |
08d45ff3178f5e18ffe3d55dbba0cb3aa9f5c932 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/category_theory/limits/shapes/constructions/limits_of_products_and_equalizers.lean | 0c3044fe45d1cd4397a1355183154978e20e98e5 | [
"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 | 4,773 | 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 category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.finite_products
/-!
# Constructing limits from products and equalizers.... |
9e586b17893919c5c7267e77b097d9aa08b73e8c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/option/basic.lean | 6100a0849479e289dd77ef9b2fc0ecae436699e8 | [] | 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 | 2,767 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.logic
import Mathlib.Lean3Lib.init.control.monad
import Mathlib.Lean3Lib.init.control.alternative
uni... |
6e048ecad9915ac78e811c447f91bfee75eb3119 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/locally_convex/basic.lean | 098c89bb39681e582706738ede62338907dbc55d | [
"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 | 14,533 | lean | /-
Copyright (c) 2019 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo, Bhavik Mehta, Yaël Dillies
-/
import analysis.convex.basic
import analysis.normed_space.lattice_ordered_group
import analysis.normed_space.ordered
/-!
# Local convexity
This file d... |
e3d8fb3423ede85d1bd0a05b50b44839f9f93569 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/constructions/set.hlean | 826bee75fa9fddee0fe53229483d2559ee036c34 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,570 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jakob von Raumer
Category of sets
-/
import ..functor.basic ..category types.equiv types.lift
open eq category equiv iso is_equiv is_trunc function sigma
namesp... |
464a11951f87f935c199fd3983627c6cc12bd871 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/group_ring_action.lean | e9e32e21882d7b1360ae04080852117f4ffc84df | [
"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 | 5,460 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import group_theory.group_action.group
import data.equiv.ring
import deprecated.subring
/-!
# Group action on rings
This file defines the typeclass of monoid acting on semir... |
20652e0e3d4eba64e994a0fd9bd14ad976459cb5 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/order/filter/ennreal.lean | da040c9193c1f7e3106a73e85de085bff8187c6a | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 3,945 | 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 data.real.ennreal
import order.filter.countable_Inter
import order.liminf_limsup
/-!
# Order properties of extended non-negative reals
This file compiles filter... |
b9ce5333c5b0f2463d0e2d95cd692493325bc001 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /data/int/basic.lean | 2747196bd24ef695930f9d932b9b826e28265077 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 47,475 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
import data.nat.basic data.list.basic algebra.char_zero algebra.order_functions
open nat
namespace int
... |
d2adbde102a21b22f70675126723ede9b7dfc784 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/int/basic.lean | 433b7cb209aceceaec82a93b377ac72a0e9e995e | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 19,326 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import data.nat.basic
import order.monotone.basic
/-!
# Basic instances on the integers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require ... |
e2b3ccffd2a144788c2c6053e53c2896215fba16 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/measure_theory/integration.lean | a4588bff434a05c3eceb92b8e5e03ed2b269dc20 | [
"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 | 37,973 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
Lebesgue integral on `ennreal`.
We define simple functions and show that each Borel measurable function on `ennreal` can be
approximated by a sequence ... |
a47b6d1df9a7bb633a5f9464371952bfbbdf8182 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/Tactic/Subst.lean | 2e7b6f32563be906ff91c25a9d8222dc6560e5ae | [
"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 | 8,376 | 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.AppBuilder
import Lean.Meta.MatchUtil
import Lean.Meta.Tactic.Util
import Lean.Meta.Tactic.Revert
import Lean.Meta.Tactic.Assert
import Lea... |
6af14541c2afd40cd17f5c0d36184250e00cfc0f | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/measure_theory/borel_space.lean | cbe64c5a052595c5ecbcba858fe75600d291afb7 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 29,479 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import measure_theory.measurable_space
import topology.instances.ennreal
import analysis.normed_space.basic
/-!
# Borel (measurable) space
## Main ... |
f128a7a74a902bee1153059814b5e0cf5048c08b | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/dfinsupp.lean | 225d7c9c707567a9fffa6659f8290a4ed54ecf4d | [
"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 | 19,841 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau
-/
import data.finsupp.to_dfinsupp
import linear_algebra.basis
/-!
# Properties of the module `Π₀ i, M i`
Given an indexed collection of `R`-modules `M i`, the `... |
0c7beb88d48ba96f4b498f3aea8f153cf14ec5ac | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/run/class1.lean | 16b5a3ebec6e27aaeac5badaf3f26e1491580573 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 156 | lean | import logic data.prod data.num
open prod inhabited
definition H : inhabited (Prop × num × (num → num)) := _
(*
print(get_env():find("H"):value())
*)
|
21c905b7811dcec8d9a75ac1d9e46fa883011cf0 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/real/division.lean | 87f9af41febd56b20e6c9a082c83c4008dac2eea | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 23,994 | 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).
At this point, we no longer... |
acd24afdeff0a2745a7ef46767ec95422d476d75 | 827a8a5c2041b1d7f55e128581f583dfbd65ecf6 | /spectral/scratch.hlean | faff2a27fcd5a7df6fc5cbf1e388e67898a08297 | [
"Apache-2.0"
] | permissive | fpvandoorn/leansnippets | 6af0499f6f3fd2c07e4b580734d77b67574e7c27 | 601bafbe07e9534af76f60994d6bdf741996ef93 | refs/heads/master | 1,590,063,910,882 | 1,545,093,878,000 | 1,545,093,878,000 | 36,044,957 | 2 | 2 | null | 1,442,619,708,000 | 1,432,256,875,000 | Lean | UTF-8 | Lean | false | false | 5,548 | hlean | import .seq_colim
open eq nat sigma sigma.ops quotient equiv pi is_trunc is_equiv fiber function trunc seq_colim
universe variables v w
variables {A A' A'' : ℕ → Type} {f : seq_diagram A} {f' : seq_diagram A'} {f'' : seq_diagram A''}
{τ τ₂ : Π⦃n⦄, A n → A' n} {p : Π⦃n⦄ (a : A n), τ (f a) = f' (τ a)}
... |
22b496fe8d4110c4edf77271fb99b3059d6a7a3b | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/int/basic.lean | e631f8b557fc8ed53e6df22e0e359789caf03fe2 | [
"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 | 53,368 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
import data.nat.basic
import algebra.order_functions
open nat
namespace int
instance : inhabited ℤ := ... |
ca8beb0f3c5b5fe74ba29c330b8851776d1e15c4 | 32da3d0f92cab08875472ef6cacc1931c2b3eafa | /src/category_theory/closed/cartesian.lean | 699f922aadf5b52b82f2de304b7afb7760539fcb | [
"Apache-2.0"
] | permissive | karthiknadig/mathlib | b6073c3748860bfc9a3e55da86afcddba62dc913 | 33a86cfff12d7f200d0010cd03b95e9b69a6c1a5 | refs/heads/master | 1,676,389,371,851 | 1,610,061,127,000 | 1,610,061,127,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,338 | lean | /-
Copyright (c) 2020 Bhavik Mehta, Edward Ayers, Thomas Read. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Edward Ayers, Thomas Read
-/
import category_theory.limits.shapes.finite_products
import category_theory.limits.preserves.shapes.binary_products... |
4208a60f526300e09450f27d7476942f819899b0 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/witt_vector/compare.lean | ed9d52b5883c9a9192a177da32f27e31f5d8a835 | [
"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 | 8,297 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import ring_theory.witt_vector.truncated
import ring_theory.witt_vector.identities
import number_theory.padics.ring_homs
/-!
# Comparison isomorph... |
953f62bee467e0ce6a1bf5c13b805e2a76ee4e97 | ebf7140a9ea507409ff4c994124fa36e79b4ae35 | /src/solutions/wednesday/structures.lean | 4977c81d3de1bb1a2f09f37a426216c469721666 | [] | 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 | 21,490 | lean | import data.rat.basic
import data.nat.parity
import tactic.basic
open nat
noncomputable theory -- definitions are allowed to not compute in this file
open_locale classical -- use classical logic in this file
/-!
## Structures and Classes
In this session we will discuss structures together,
and then you can solve th... |
231569ca8816deaa72aa9cc784cbd1a66d686e7f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/dedekind_domain/integral_closure.lean | 46cabb9b4bb3e2bb4fade4b809fc9c0de8926904 | [
"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 | 10,254 | lean | /-
Copyright (c) 2020 Kenji Nakagawa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenji Nakagawa, Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.dedekind_domain.basic
import ring_theory.trace
/-!
# Integral closure of Dedekind domains
This file shows the ... |
bb7990e83d6133817368520ecb559242599ef014 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/tools/debugger/cli.lean | 2db09e4ad16c6e16db098e03605d812ba900044c | [] | 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 | 728 | 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
Simple command line interface for debugging Lean programs and tactics.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.Lean3Lib.... |
235643f38a9237edeb00c9628fbf5435e5c345ec | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/pp_struct.lean | c6ddd0d5c7e44e830b71e7bba18d823cd0bd1e6c | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,241 | lean | structure foo :=
(x : nat) (y : nat) (z : bool)
check let s := {foo . x := let v1 := 10 + 10 + 20 + 30 + 40 + 10 + 20 + 30 + 40 + 50 + 10 + 10, v2 := 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 20, v3 := 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 20, v4 := 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 +... |
f4aed24d69b4b81549b86a632d3bb12bcfccd2ff | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/theories/measure_theory/extended_real.lean | 62c353b2c2fd085e50b0a89c1f424e74a49f7814 | [
"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 | 15,806 | lean | /-
Copyright (c) 2015 Jacob Gross. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jacob Gross, Jeremy Avigad
Extended reals.
-/
import data.real
open real eq.ops classical
-- This is a hack, to get around the fact that the top level names are inaccessible when
-- def... |
977068d1301243ddde7adeb2d8d6c3dd924936e5 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/char_p/basic.lean | 46a92ff99b75634dc553d4df84f3b6f69adb577a | [
"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 | 21,339 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Joey van Langen, Casper Putz
-/
import algebra.hom.iterate
import data.int.modeq
import data.nat.choose.dvd
import data.nat.choose.sum
import data.zmod.defs
import group_theory.... |
75ed2658c36e8ee0c70a6aa2f2e3b6bbe4e1dfff | 7565ffb53cc64430691ce89265da0f944ee43051 | /hott/homotopy/wedge.hlean | aecdfd7db5f9f7291af2c65d5f062b075c5f2bdd | [
"Apache-2.0"
] | permissive | EgbertRijke/lean2 | cacddba3d150f8b38688e044960a208bf851f90e | 519dcee739fbca5a4ab77d66db7652097b4604cd | refs/heads/master | 1,606,936,954,854 | 1,498,836,083,000 | 1,498,910,882,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,217 | hlean | /-
Copyright (c) 2016 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer, Ulrik Buchholtz
The Wedge Sum of Two Pointed Types
-/
import hit.pushout .connectedness types.unit
open eq pushout pointed unit trunc_index
definition wedge (A B... |
efe9f461bd240975dfa0a874c87f2e977261bf6f | 4fa161becb8ce7378a709f5992a594764699e268 | /src/analysis/normed_space/basic.lean | e490fb6e38737934ece5dc1a57c1dab95559841f | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 46,881 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import topology.instances.nnreal
import topology.instances.complex
import topology.algebra.module
import topology.metric_space.antilipschitz
/-!
# No... |
2733b78f56fc7dbf9db07c4efbe7f19e68ef2b07 | a7dd8b83f933e72c40845fd168dde330f050b1c9 | /src/category_theory/instances/Mon/default.lean | cbb096a000e83b2a41c26fa9740ecac5a9b47691 | [
"Apache-2.0"
] | permissive | NeilStrickland/mathlib | 10420e92ee5cb7aba1163c9a01dea2f04652ed67 | 3efbd6f6dff0fb9b0946849b43b39948560a1ffe | refs/heads/master | 1,589,043,046,346 | 1,558,938,706,000 | 1,558,938,706,000 | 181,285,984 | 0 | 0 | Apache-2.0 | 1,568,941,848,000 | 1,555,233,833,000 | Lean | UTF-8 | Lean | false | false | 244 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.instances.Mon.basic
import category_theory.instances.Mon.colimits
|
903df424970741bd70a79bace7f73da40d6314c9 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/eq4.lean | 1298764aaa81a654be6358e0527c049a20521cbb | [
"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 | 285 | lean | open nat
definition half : nat → nat
| 0 := 0
| 1 := 0
| (x+2) := half x + 1
theorem half0 : half 0 = 0 :=
rfl
theorem half1 : half 1 = 0 :=
rfl
theorem half_succ_succ (a : nat) : half (a + 2) = half a + 1 :=
rfl
example : half 5 = 2 :=
rfl
example : half 8 = 4 :=
rfl
|
38eb5b64a6815fa6adadeb46b65cf1572ed0fe95 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/category_theory/limits/preserves.lean | 4df7d1e9cb46dd38ed95d9ab88a537d0ed274dfb | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 10,687 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison, Reid Barton
-- Preservation and reflection of (co)limits.
import category_theory.limits.limits
open category_theory
namespace category_theory.limits
universe... |
84dcba6557c31ecc39ed86efacb79f03be7ce1a0 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/basic_monitor.lean | 9d5f90c960e83be93ba5425852b6685952fa5443 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 303 | lean | meta def basic_monitor : vm_monitor nat :=
{ init := 0, step := λ s, return (trace ("step " ++ s^.to_string) (s+1)) }
run_command vm_monitor.register `basic_monitor
set_option debugger true
example (a b : Prop) : a → b → a ∧ b :=
begin
intros,
constructor,
assumption,
assumption
end
|
e9b93e8f3da93e69ec8fd19fb83e739d61c2145e | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/termparsertest1.lean | e430fd966a0419890c0543fc0ca7b0ddc218e167 | [
"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 | 2,706 | lean | import init.lean.parser.term
open Lean
open Lean.Parser
def testParser (input : String) : IO Unit :=
do
env ← mkEmptyEnvironment;
termPTables ← builtinTermParsingTable.get;
stx ← IO.ofExcept $ runParser env termPTables input "<input>" "expr";
IO.println stx
def test (is : List String) : IO Unit :=
is.mfor $ fun input... |
1273ae2294dca6f42253a8341eaae50b6a88b51f | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/data/list/perm.lean | f3278bc685c9a847cd72eecf99615874ee101d04 | [
"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 | 41,064 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
List permutations.
-/
import data.list.basic logic.relation
namespace list
universe variables uu vv
variables {α : Type uu} {β... |
41c7affc5e3c814e81d59896f04228d5eddff6a4 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/tactic/lint/type_classes.lean | bc321777686ee830daea9f730c69a4902733a3d2 | [
"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 | 22,046 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint.basic
/-!
# Linters about type classes
This file defines several linters checking the correct usage of type c... |
b17f65fc9607a625a9a220e27b01ae0ef48e8fd2 | e953c38599905267210b87fb5d82dcc3e52a4214 | /hott/cubical/square.hlean | f1ecce4dee002bc2a16dc650a25dbfd135f5acb9 | [
"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 | 19,162 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Squares in a type
-/
import types.eq
open eq equiv is_equiv
namespace eq
variables {A B : Type} {a a' a'' a₀₀ a₂₀ a₄₀ a₀₂ a₂₂ a₂₄ a₀₄ a₄₂ a₄₄ a₁ a₂ a₃ a₄ : A}
... |
1748a7b24f97c3ffd4e73331fce2c8bcae7a9ea9 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /archive/imo/imo1959_q1.lean | aa9b76720eeda0e64100f4a99ddbab957b7ec09f | [
"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 | 904 | lean | /-
Copyright (c) 2020 Kevin Lacker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker
-/
import tactic.ring
open nat
/-!
# IMO 1959 Q1
Prove that the fraction `(21n+4)/(14n+3)` is irreducible for every natural number `n`.
Since Lean doesn't have a concep... |
8ab511060ceb6fbd0b0da93f105496245e863517 | e953c38599905267210b87fb5d82dcc3e52a4214 | /hott/types/equiv.hlean | 53c39e9faa0fcd9a147a6385de59d436cfe5afcd | [
"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 | 6,780 | 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 the types equiv and is_equiv
-/
import .fiber .arrow arity ..hprop_trunc
open eq is_trunc sigma sigma.ops pi fiber function equ... |
35ee81e9301f43f00abcd2a773e0aeb9b2d8cdc6 | 618003631150032a5676f229d13a079ac875ff77 | /src/ring_theory/integral_closure.lean | 3e9b27aeb6931ca19d2efcf21dfe04d49abc1cc8 | [
"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 | 16,939 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.adjoin
/-!
# Integral closure of a subring.
-/
universes u v
open_locale classical
open polynomial submodule
section
variables (R : Type u) {A : Type v}
v... |
475411e6a4192e02cc0f6392460ff1e2dfe2a7aa | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/finset/sort.lean | 4874953a1973a6ecadde79b71e9a88f67220b303 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 9,067 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.finset.lattice
import data.multiset.sort
/-!
# Construct a sorted list from a finset.
-/
namespace finset
open multiset nat
variables {α β : Type*}
/-!... |
abfac9c6ed3582fe40aeb1a293f810a1549a1dfd | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/trace_tst.lean | 3e4fa17ec6d9b98933af0285aa2b15ec5cc4e4f6 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 69 | lean | open nat
vm_eval trace "step1" (λ u, trace "hello" (λ u, succ 3))
|
7b5bd9915a6e2f775f6efe9899b6c15ecbd10dc4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/def2.lean | 0037c4ec98f3b5a77a050c7d6a9028a0e3a8c2ee | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 95 | lean |
definition plus (a b : nat) : nat :=
nat.rec_on a b (λ a' ih, nat.succ ih)
vm_eval plus 3 5
|
303e0c97d6f7ce159ceebc1d3a649e666e0a0628 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/ordmap/ordset.lean | 98ae171d6183b155703ab1888d7516b07d3bf58a | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 69,878 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.ordmap.ordnode
import algebra.order.ring
import data.nat.dist
import tactic.linarith
/-!
# Verification of the `ordnode α` datatype
This file proves the... |
65ceacddad1a25ad0829d252f7b3d8f26d91575c | 785b41b0993f39cbfa9b02fe0940ce3f2f51a57d | /conf/dz2.lean | b490a6c5ce48998a62e7a90d8ac58a419ddfd864 | [
"MIT"
] | permissive | loso3000/OpenWrt-DIY-1 | 75b0d70314d703203508218a29acefc3b914d32d | 5858be81ee44199908cbaa1a752b17505c9834e8 | refs/heads/main | 1,690,532,461,283 | 1,631,008,241,000 | 1,631,008,241,000 | 354,817,508 | 1 | 0 | MIT | 1,617,623,493,000 | 1,617,623,492,000 | null | UTF-8 | Lean | false | false | 14,025 | lean | CONFIG_TARGET_x86=y
CONFIG_TARGET_x86_64=y
CONFIG_TARGET_x86_64_DEVICE_generic=y
# 设置固件大小
CONFIG_TARGET_KERNEL_PARTSIZE=64
CONFIG_TARGET_ROOTFS_PARTSIZE=1516
# EFI支持:
CONFIG_GRUB_IMAGES=y
CONFIG_EFI_IMAGES=y
# CONFIG_VMDK_IMAGES is not set
# 不压缩efi
# CONFIG_TARGET_ROOTFS_TARGZ is not set
# CONFIG_TARGET_IMAGES_GZIP is ... |
f9a68fb71c83e101886a0cf49777ed869753ba46 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/Tactic/Conv/Congr.lean | 15373d736d293d759b413518c02d25536f910b2a | [
"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 | 7,798 | 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.Simp.Main
import Lean.Meta.Tactic.Congr
import Lean.Elab.Tactic.Conv.Basic
namespace Lean.Elab.Tactic.Conv
open Meta
private def c... |
3385991c40b165d6f1c75de78f7b470c1d28e879 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/trust0/t1.lean | b5a37320680114112239906f9d2a9ade6821ef25 | [
"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 | 35 | lean | import Init.System.IO
#print trust
|
c33ca7048ecf1f09133e68114bcc096adb454ddc | 2bafba05c98c1107866b39609d15e849a4ca2bb8 | /src/week_1/Part_A_logic.lean | f328aa414d16e0ea42b37dca50f7fccab9aa3de6 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/formalising-mathematics | b54c83c94b5c315024ff09997fcd6b303892a749 | 7cf1d51c27e2038d2804561d63c74711924044a1 | refs/heads/master | 1,651,267,046,302 | 1,638,888,459,000 | 1,638,888,459,000 | 331,592,375 | 284 | 24 | Apache-2.0 | 1,669,593,705,000 | 1,611,224,849,000 | Lean | UTF-8 | Lean | false | false | 11,734 | lean | -- We import all of Lean's standard tactics
import tactic
/-!
# Logic
We will develop the basic theory of following five basic logical symbols
* `→` ("implies" -- type with `\l`)
* `¬` ("not" -- type with `\not` or `\n`)
* `∧` ("and" -- type with `\and` or `\an`)
* `↔` ("iff" -- type with `\iff` or `\lr`)
* `∨` ("or... |
734133b5f20ffe4ff2acffdcf06cd18863c5e519 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Util/Store.lean | b4fc130e66f0748741febdf36a8b9f52ab785c5c | [
"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 | 1,301 | lean | /-
Copyright (c) 2022 Mac Malone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mac Malone
-/
namespace Lake
/-- A monad equipped with a dependently typed key-value store for a particular key. -/
class MonadStore1 {κ : Type u} (k : κ) (α : outParam $ Type v) (m : Typ... |
1079b968d60bb4a26b505712575df2f3c52b6364 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/continuous_function/bounded.lean | 7ecf9de6162385861a704442c58826aed5de6a7e | [
"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 | 58,728 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro, Yury Kudryashov, Heather Macbeth
-/
import analysis.normed_space.lattice_ordered_group
import analysis.normed_space.operator_norm
import analysis.... |
436fd0feac342366e04222f6db6284af3ad94f7d | b70447c014d9e71cf619ebc9f539b262c19c2e0b | /hott/homotopy/sphere.hlean | 94d4de7d27f79700e1fdecf48632f74cf2064b92 | [
"Apache-2.0"
] | permissive | ia0/lean2 | c20d8da69657f94b1d161f9590a4c635f8dc87f3 | d86284da630acb78fa5dc3b0b106153c50ffccd0 | refs/heads/master | 1,611,399,322,751 | 1,495,751,007,000 | 1,495,751,007,000 | 93,104,167 | 0 | 0 | null | 1,496,355,488,000 | 1,496,355,487,000 | null | UTF-8 | Lean | false | false | 13,723 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of the n-spheres
-/
import .susp types.trunc
open eq nat susp bool is_trunc unit pointed algebra
/-
We can define spheres with the following possib... |
aba11c3a072596724ac6e7be97fb525e5a700e77 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/matchtac.lean | ca3ed4f0f9e00cb2a43b1143eae084162f758922 | [
"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 | 3,347 | lean | theorem tst1 {α : Type} {p : Prop} (xs : List α) (h₁ : (a : α) → (as : List α) → xs = a :: as → p) (h₂ : xs = [] → p) : p :=
by match (generalizing := false) h:xs with
| [] => exact h₂ h
| z::zs => apply h₁ z zs; assumption
theorem tst1' {α : Type} {p : Prop} (xs : List α) (h₁ : (a : α) → (as : List α) → xs =... |
6f9baec3ff1a372a7535f6835299454c0858514a | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/group_theory/subgroup.lean | b3e489115a99cc7adcad084a84c4d27e2ab2cecc | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 64,443 | 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.submonoid
import algebra.group.conj
import algebra.pointwise
import order.atoms
/-!
# Subgroups
This file defines multiplicative and additive subgroup... |
e47fde9b48ef6669169a645ae0e1276d541b84b6 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/algebra/char_p/basic.lean | b8a754fe5b0814a31cc170d79a0ef24a17dfa361 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,197 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau, Joey van Langen, Casper Putz
-/
import data.fintype.basic
import data.nat.choose
import data.int.modeq
import algebra.module.basic
import algebra.iterate_hom
import group_theory.... |
864aa797f1d6a4d6275dfdc8cb5c21178cc4fad9 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/continuous_function/weierstrass.lean | 577f15005b606f97f1a6e37129c6a074c3829997 | [
"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 | 5,414 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.algebra.subalgebra
import analysis.special_functions.bernstein
/-!
# The Weierstrass approximation theorem for continuous functions on `[a,b]`
We've ... |
4a3222e373690ec4a776fa0d06f7ede790c03e2f | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/data/polynomial/coeff.lean | 18df6483a9bf1e9abed4aa9876cdfc7726b8f564 | [
"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 | 5,985 | 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.monomial
import data.finset.nat_antidiagonal
/-!
# Theory of univariate polynomials
The theorems ... |
b5f2834590b23177a9d7210214ce27af4f296c1f | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/normed_space/units.lean | 6e0ae1f8fa2d111fa91c0c6a0778caac75afaadc | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,207 | 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... |
46c03e2545249a65c9551dc46c5abf9a91642c2e | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/order/jordan_holder.lean | f2942f572ec05241c2975a2607f913f1d394df17 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 30,872 | lean | /-
Copyright (c) 2021 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import order.lattice
import data.fin
import data.list.sort
import data.equiv.fin
import data.equiv.functor
/-!
# Jordan-Hölder Theorem
This file proves the Jordan Hölder... |
aa9c326acfad13185763398196334203e254d1f2 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Data/Format.lean | f65a5a7ff26457e477ef72ff730c08837657ed1a | [
"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 | 7,832 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Data.Options
universes u v
namespace Lean
inductive Format
| nil : Format
| line : Format
| text ... |
9717a35b21e1767ae5eec44ffa8afdfc1ce3b615 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/category/CommRing/limits.lean | d31664d21a99b600e6ffc6ac28fafccb9ac31d57 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 15,387 | 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 algebra.ring.pi
import algebra.category.CommRing.basic
import algebra.category.Group.limits
import ring_theory.subring
/-!
# The category of (commutative) rin... |
9beef6b889be650be1a506456d72e1141448389f | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/meta3.lean | d36a03fe0e37746a6ee7033f0c13c55ad104080f | [
"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 | 1,856 | lean | import Lean.Meta
new_frontend
open Lean
open Lean.Meta
def dbgOpt : Options :=
let opt : Options := {};
let opt := opt.setBool `trace.Meta true;
-- let opt := opt.setBool `trace.Meta.check false;
opt
def print (msg : MessageData) : MetaM Unit :=
trace! `Meta.debug msg
def check (x : MetaM Bool) : MetaM Unit :=
unles... |
5753aa7997e07cc939381002ec44e8a2741ec546 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/filter/extr.lean | 764807b64c307c98408955eaf4830271d8755c62 | [] | 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 | 33,221 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.filter.basic
import Mathlib.PostPort
universes u v w x u_1 u_2
namespace Mathlib... |
8b88e885cfec59ed424c2e7988b685231cd2b6c2 | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/adjunctions/default.lean | a2a7600826642848c6cbbc87896fa633e607bf8f | [] | no_license | khoek/lean-category-theory | 7ec4cda9cc64a5a4ffeb84712ac7d020dbbba386 | 63dcb598e9270a3e8b56d1769eb4f825a177cd95 | refs/heads/master | 1,585,251,725,759 | 1,539,344,445,000 | 1,539,344,445,000 | 145,281,070 | 0 | 0 | null | 1,534,662,376,000 | 1,534,662,376,000 | null | UTF-8 | Lean | false | false | 3,266 | 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 category_theory.natural_transformation
import category_theory.opposites
import category_theory.types
import category_theory.tactics.obviou... |
e99a392f735723fc38782009b8957d87ce3dc0fb | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/tactic/core.lean | cccea3a2b609282a31cf39057d6f4455cb2ba075 | [
"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 | 91,634 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic
import logic.function.basic
import control.basic
import meta.expr
import meta.rb_map
import data.boo... |
de9462c431f6ff9f158dff7cd728807fdfc59dee | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/field_theory/minimal_polynomial.lean | a9ab3809211bafe3b09a901b53048c304bce1e4b | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,464 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johan Commelin
-/
import ring_theory.integral_closure
import data.polynomial.field_division
import ring_theory.polynomial.gauss_lemma
/-!
# Minimal polynomials
This file ... |
09dc5e499cc6cfc0aa91cd6b9f0d4da5ab3d774f | d8820d2c92be8052d13f9c8f8c483a6e15c5f566 | /src/Exercises/Exercies1.lean | b728aef15a2738dd059b5fc47998b1b443ad122b | [] | no_license | JasonKYi/M4000x_LEAN_formalisation | 4a19b84f6d0fe2e214485b8532e21cd34996c4b1 | 6e99793f2fcbe88596e27644f430e46aa2a464df | refs/heads/master | 1,599,755,414,708 | 1,589,494,604,000 | 1,589,494,604,000 | 221,759,483 | 8 | 1 | null | 1,589,494,605,000 | 1,573,755,201,000 | Lean | UTF-8 | Lean | false | false | 309 | lean | /-
Exercise 1.
Try to prove that ¬ P ↔ (P → false) without using automation!
Here are some basic tactics that might help : http://wwwf.imperial.ac.uk/~buzzard/xena/html/source/tactics/guide.html
-/
example (P : Prop) : ¬ P ↔ (P → false) :=
begin
sorry -- Replace the sorry with your proof!
end |
035ecac65738b02726c9dd4fff288b3b84f1a039 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/uniform_space/uniform_convergence.lean | 3ea85237b0a6e0f43868b7148a276119bec65a48 | [
"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 | 16,639 | 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 topology.uniform_space.basic
/-!
# Uniform convergence
A sequence of functions `Fₙ` (with values in a metric space) converges uniformly on a set `s` to... |
e8c40229559cbb9df897e59a30d6fadd687e3d65 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/complex/exponential.lean | 8f3bf876f75e2ed16e4ae71630282bbb149b1a09 | [
"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 | 58,838 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir
-/
import algebra.geom_sum
import data.nat.choose.sum
import data.complex.basic
/-!
# Exponential, trigonometric and hyperbolic trigonometric funct... |
67e04299d1e080ffdeb6b846875b406aba3acf20 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/separation.lean | c5fc7532ce7e7be1abb45818eeea830c550ec72d | [
"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 | 93,076 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.subset_properties
import topology.connected
import topology.nhds_set
import topology.inseparable
/-!
# Separation properties of topol... |
1a929c0818f8899c589e709a2203427b1dc5fcd3 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/linear_algebra/bilinear_form.lean | abf02c746a125c58340d25f0cf0ea232e28265d3 | [
"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 | 9,120 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Andreas Swerdlow
-/
import linear_algebra.tensor_product
/-!
# Bilinear form
This file defines a bilinear form over a module. Basic ideas
such as orthogonality are also introduced,... |
86a5ca6300616210c58e7ec7fe613d7db84b6a90 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/793b.lean | 391c4504c7e10ceab22ac54e9b24c1e4a408a55b | [
"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 | 41 | lean | import data.rat
open rat
check (1.2:rat)
|
512e3dbbc73c0c74bd8b15f77ca5d699f2553c9e | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/topology/constructions.lean | 8bfb4a98bea1f0feaa1c2d385a33c0751563bff8 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,342 | 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
-/
import topology.maps
/-!
# Constructions of new topological spaces from old ones
This file constructs products, sums, subtypes and q... |
b27c908bae616015bed14ba512fb6376e8078f45 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/archive/imo/imo1988_q6.lean | aebb4e890a51227c7db740d409a35d40e0d0303d | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,855 | 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.nat.prime
import data.rat.basic
import order.well_founded
import tactic.linarith
import tactic.omega
/-!
# IMO1988 Q6 and constant descent Vieta jumping... |
8d22f82f4367b1b6eed7832368acae955fd1739c | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/simp_dsimp.lean | eb0f14616b5f6e7ffc7651ac0d5f53e4a2e84b97 | [
"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 | 306 | lean | opaque A : Nat → Type
opaque f (x : Nat) (a : A x) : Nat
example (x : Nat) (a : A (x + 0)) : f (x + 0) a = x := by
simp
trace_state -- ⊢ f x a = x
sorry
example (x : Nat) (a : A (x + 0)) : f (x + 0) a = x := by
simp (config := { dsimp := false })
trace_state -- ⊢ f (x + 0) a = x
sorry
|
5f8f5b6f1417128e6b4321090e11dd0d5e9fa3ff | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/group_power/lemmas.lean | 56a4139af2701aba203e0383383e059196e5afab | [
"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 | 33,338 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import algebra.invertible
import data.int.cast
/-!
# Lemmas about power operations on monoids and groups
This file contains lemmas about `monoid.pow`... |
1a2ef285349568c89066c4e88e5867d0614a8a0f | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/metric_space/metrizable.lean | 7fb64fc6a9b69786b10d7a4d6e65d113b74a45d9 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 11,665 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.specific_limits.basic
import topology.urysohns_lemma
import topology.continuous_function.bounded
import topology.uniform_space.cauchy
/-!
# Metriza... |
40b359a5c2c264249a63e207ab000baa75accfed | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/ring_theory/polynomial_algebra.lean | af77fe6384e7f3fd9e1e389cf9c9760ece42fe71 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 11,939 | 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 ring_theory.tensor_product
import ring_theory.matrix_algebra
import data.polynomial
/-!
# Algebra isomorphism between matrices of polynomials and polynomials ... |
f9b2aa5dd43af405eaed8db13256d06bda1d5421 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/struct_infer.lean | 1114180967832533a27b52783dd51b043770fd6d | [
"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 | 644 | lean | import data.nat.basic
open nat
definition associative {A : Type} (op : A → A → A) := ∀a b c, op (op a b) c = op a (op b c)
structure semigroup [class] (A : Type) :=
mk {} :: (mul: A → A → A) (mul_assoc : associative mul)
definition nat_semigroup [instance] : semigroup nat :=
semigroup.mk nat.mul nat.mul.assoc
examp... |
ed4cf8e27befed997988b633717577a5f5a4f895 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/finite_auto.lean | fe08139351ee9bdd4c85d4aa97e85e7b843421e8 | [] | 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 | 25,389 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.fintype.basic
import Mathlib.PostPort
universes u u_1 v u_2 x u_3
n... |
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