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5d7676437aac061f658690515fb8444a4ab28252 | fe84e287c662151bb313504482b218a503b972f3 | /src/exercises/mathcomp_book/chapter_4.lean | 95c4f005e3551620115163f3406eb1f7fac77757 | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,886 | lean | import tactic.interactive tactic.find data.list.basic
def my_list_bexists {α : Type} (p : α → bool) : ∀ l : list α, bool
| list.nil := ff
| (list.cons a l) := bor (p a) (my_list_bexists l)
def my_list_pexists {α : Type} (p : α → Prop) : ∀ l : list α, Prop
| list.nil := false
| (list.cons a l) := (p a) ∨ (my_list_pe... |
dbfcae58899695273ff73a4c9910223e0488c1dc | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /src/Init/Data/List/Basic.lean | c04cb9f7290c023a72dac1039eb3c9705b15a5b6 | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,640 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.SimpLemmas
import Init.Data.Nat.Basic
open Decidable List
universes u v w
variable {α : Type u} {β : Type v} {γ : Type w}
namespace Li... |
8b47863cc9529ab5e4d35996f62819633a704925 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/category_theory/limits/shapes/binary_products.lean | 65495b40786fb9b116b27a85aa27e6db6f72897b | [
"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 | 18,227 | 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.limits.shapes.terminal
/-!
# Binary (co)products
We define a category `walking_pair`, which is the index category
for a binary (co)product di... |
df1682d62e5498b428dfc86cc3d30e06dbd4bce9 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/measure_theory/integral/integrable_on.lean | 30c6ad7aa1efd498dc8fd3b63aaa1e303b86ede4 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,145 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yury Kudryashov
-/
import measure_theory.function.l1_space
import analysis.normed_space.indicator_function
/-! # Functions integrable on a set and at a filter
We define... |
0941d0d8321c6897301cdc971a044399d65b6991 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/types.lean | 661940114190dc6a86f451dcd73b18c01821775d | [
"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 | 15,180 | 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
-/
import category_theory.limits.shapes.images
import category_theory.filtered
import tactic.equiv_rw
universes u
open category_theory
open category_theor... |
713401f000b7afb1d314f07792eacbf4ef492582 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/notation_error_pos.lean | 9a1394b7466f9fa45b54a3e20c94418d6f58580e | [
"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 | 170 | lean | notation `foo` := "a" + 1
notation `bla` a := a + 1
notation `boo` a := 1 + a
notation `cmd` a := λ x, x + a
#check foo
#check bla "a"
#check boo "a"
#check cmd "b"
|
25f5ac9028df80d6c5668def738d6d8983c1147a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Meta/Tactic/LinearArith/Main.lean | 7145f38cc335306885bd81ff4ffdb656bb15fed3 | [
"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 | 254 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.LinearArith.Nat
namespace Lean.Meta.Linear
end Lean.Meta.Linear
|
d5082b39e93bc1173a5cf9676d97a6c8ff6d2506 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/order/copy.lean | 70552c27e5ea3be5a5e3991f68f3a1873e755c86 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 4,534 | 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 order.conditionally_complete_lattice
/-!
# Tooling to make copies of lattice structures
Sometimes it is useful to make a copy of a lattice structure
where on... |
c82d43b26844eaa2bcb6f25f6d0632cb386f4b57 | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/ring_theory/localization.lean | 445a7bbfb832ad22ce4c99cc7854f2d180459080 | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 24,599 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin
-/
import tactic.ring data.quot data.equiv.algebra ring_theory.ideal_operations group_theory.submonoid
universes u v
namespace localization
varia... |
75763fd18aea230c810c7160c117a33ac46b1a92 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/server/diags.lean | 71895faf51e3e9c101b25e8b6431242200c17757 | [
"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 | 1,176 | lean | import Lean.Data.Lsp
open IO Lean Lsp
def main : IO Unit := do
Ipc.runWith (←IO.appPath) #["--server"] do
let hIn ← Ipc.stdin
hIn.write (←FS.readBinFile "init_vscode_1_47_2.log")
hIn.flush
discard $ Ipc.readResponseAs 0 InitializeResult
Ipc.writeNotification ⟨"initialized", InitializedParams.mk⟩
... |
6c04825b29be3ec7ffc049df6439f739bd99b771 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/instances/ennreal.lean | 3efe8bb66fd6a5b56ff4b6227b7aa9c5f95441f8 | [
"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 | 73,112 | 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 topology.instances.nnreal
import topology.algebra.order.monotone_continuity
import analysis.normed.group.basic
/-!
# Extended non-negative reals
-/
noncomputa... |
a6ab7c5a976bbc7bf1e06942223c4890153025ed | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/defeq_simp2.lean | 0a5d968c906c4cb439aabde4f9e9ca1b7ca46b4a | [
"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 | 1,204 | lean | open tactic
constant f (n : nat) : n ≥ 0 → nat
axiom foo1 (n : nat) : n ≥ 0
axiom foo2 (n : nat) : n ≥ 0
axiom foo3 (n : nat) : n ≥ 0
-- by default we dont canonize proofs
example (a b : nat) (H : f a (foo1 a) = f a (foo2 a)) : true :=
by do
s ← simp_lemmas.mk_default,
e ← get_local `H >>= infer_type, s^.dsimp... |
12d0007172b9383febc47c30c82fbd2faf6015d1 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/order/complete_lattice.lean | bf56d5bb70cb49ebfe0cfbda5e579d47ec82250e | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,809 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Theory of complete lattices.
-/
import order.bounds
set_option old_structure_cmd true
open set
universes u v w w₂
variables {α : Type u} {β : Type v} {ι : Sort w} {ι₂... |
5b8ca01efa2267b9be65f7ff901bacfb9b036f82 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/algebra/category/constructions/product.hlean | cef0b991111e34c9092164b87c6d520ae576bfa4 | [
"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 | 5,470 | 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
Product precategory and (TODO) category
-/
import ..category ..nat_trans hit.trunc
open eq prod is_trunc functor sigma trunc iso prod.ops nat_tr... |
24d43102a6fd36ed9b635781e2d71a77c859055f | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/gen_fail.lean | 1cfe577816fb70e6468c89cba25b44da63c8ceac | [
"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 | 116 | lean | import data.examples.vector
open nat
theorem tst (n : nat) (v : vector nat n) : v = v :=
begin
generalize n,
end
|
2f8d727f208f81c618867f7cef3a664716a2f4f8 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/nat/lattice.lean | 9590c769b0c133460b5e44894a582b6efdcc06af | [
"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 | 5,536 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Floris van Doorn, Gabriel Ebner, Yury Kudryashov
-/
import data.nat.enat
import order.conditionally_complete_lattice
/-!
# Conditionally complete linear order structur... |
cdbdde611478a7bd5a32c112afb53597b0da813e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /archive/100-theorems-list/73_ascending_descending_sequences.lean | e909d44087044eae5dd7912606864d56a48eddf9 | [
"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 | 8,145 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import tactic.basic
import data.fintype.basic
/-!
# Erdős–Szekeres theorem
This file proves Theorem 73 from the [100 Theorems List](https://www.cs.ru.nl/~freek/100/), a... |
ea646a716039ef077b04df892565bdf86bb0ed0c | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /test/linarith.lean | 6dba126d8961c5ef303faa08e233ba34e7cd76e0 | [
"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 | 8,302 | lean | import tactic.linarith
example (e b c a v0 v1 : ℚ) (h1 : v0 = 5*a) (h2 : v1 = 3*b) (h3 : v0 + v1 + c = 10) :
v0 + 5 + (v1 - 3) + (c - 2) = 10 :=
by linarith
example (u v r s t : ℚ) (h : 0 < u*(t*v + t*r + s)) : 0 < (t*(r + v) + s)*3*u :=
by linarith
example (A B : ℚ) (h : 0 < A * B) : 0 < 8*A*B :=
begin
linarit... |
6e685a4c0c3e756cea9d13da2f78ebe0958878be | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/lcnfInferProjTypeBug.lean | e680089cc13fe734d1b9c88297e2d4a36b1b7ab7 | [
"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 | 103 | lean | import Lean
set_option trace.Compiler.result true
#eval Lean.Compiler.compile #[``Lean.Meta.mapMetaM]
|
8c710630e33aa29e5a20c5156f57b25d9203da7d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/shapes/terminal.lean | dd524d6093fc292521cc38beb20ac6882d377537 | [
"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 | 12,890 | 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.pempty
import category_theory.limits.has_limits
import category_theory.epi_mono
/-!
# Initial and terminal objects in a category... |
30c02f7d2bb15fb53f4fbbeada6302f8e96d1eb0 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/assoc_flat.lean | 7ec04dcdfaef4053035fd90a01d965cf3678c64d | [
"Apache-2.0"
] | permissive | GaloisInc/lean | aa1e64d604051e602fcf4610061314b9a37ab8cd | f1ec117a24459b59c6ff9e56a1d09d9e9e60a6c0 | refs/heads/master | 1,592,202,909,807 | 1,504,624,387,000 | 1,504,624,387,000 | 75,319,626 | 2 | 1 | Apache-2.0 | 1,539,290,164,000 | 1,480,616,104,000 | C++ | UTF-8 | Lean | false | false | 2,275 | lean | open tactic expr
meta definition is_op_app (op : expr) (e : expr) : option (expr × expr) :=
match e with
| (app (app fn a1) a2) := if op = fn then some (a1, a2) else none
| e := none
end
meta definition flat_with : expr → expr → expr → expr → tactic (expr × expr)
| op assoc e rhs :=
match (is_op_... |
57d84a4553cd00d6a51269da83028008634cab79 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/uniform_space/absolute_value.lean | 5084786a25fd8c7980e76bb49134ad385740d830 | [
"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 | 2,880 | lean | /-
Copyright (c) 2019 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import data.real.cau_seq
import topology.uniform_space.basic
/-!
# Uniform structure induced by an absolute value
We build a uniform space structure on a commutativ... |
aa650786329daf357720c75f29ba4d42f5f49f90 | e9dbaaae490bc072444e3021634bf73664003760 | /src/Arith/CRing.lean | af6675c73c6a58aa6efa812364c3a9e359105193 | [
"Apache-2.0"
] | permissive | liaofei1128/geometry | 566d8bfe095ce0c0113d36df90635306c60e975b | 3dd128e4eec8008764bb94e18b932f9ffd66e6b3 | refs/heads/master | 1,678,996,510,399 | 1,581,454,543,000 | 1,583,337,839,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,806 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam, Mario Carneiro
Proving equalities in commutative rings, building on:
1. https://github.com/leanprover-community/mathlib/blob/master/src/tactic/ring2.lean
2. Gré... |
3b6a520ee03a09e338f0cb4fc6324f259b568774 | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/real/nnreal.lean | 125f8759b39bf41506ae17098062135199970447 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 20,771 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import data.real.basic order.lattice algebra.field
noncomputable theory
open lattice
open_locale classical
/-- Nonnegative real numbers.... |
5a4629052dc58a294e80bf23c5573b67fb936840 | 7cdf3413c097e5d36492d12cdd07030eb991d394 | /src/game/world2/level2.lean | c67f93d5266eb0e8f40fdd05ed7d221df0655a3c | [] | no_license | alreadydone/natural_number_game | 3135b9385a9f43e74cfbf79513fc37e69b99e0b3 | 1a39e693df4f4e871eb449890d3c7715a25c2ec9 | refs/heads/master | 1,599,387,390,105 | 1,573,200,587,000 | 1,573,200,691,000 | 220,397,084 | 0 | 0 | null | 1,573,192,734,000 | 1,573,192,733,000 | null | UTF-8 | Lean | false | false | 2,226 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level1 -- hide
namespace mynat -- hide
/-
# World 2 -- addition world
## Your theorems so far:
* `add_zero (a : mynat) : a + 0 = a`
* `add_succ (a b : mynat) : a + succ(b) = succ(a + b)`
* `zero_add (a : mynat) : 0 + a = a`
* (some ... |
d16aa7caa544e59fb6f7b48bbb8b28054b2980c5 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/e14.lean | 7bf29c15bd3e7e4f22c35cd8c9bbe5671fd1e7df | [
"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 | 887 | lean | prelude
inductive nat : Type :=
| zero : nat
| succ : nat → nat
namespace nat end nat open nat
inductive list (A : Type) : Type :=
| nil {} : list A
| cons : A → list A → list A
definition nil := @list.nil
definition cons := @list.cons
check nil
check nil.{1}
check @nil.{1} nat
check @nil nat
check cons nat.zero n... |
34249e42daff71dd1819c314e21956ba77ed1a1d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/combinatorics/additive/pluennecke_ruzsa.lean | 16eb9cd950f8d65b42650f725bd3c9a63241c53e | [
"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 | 11,327 | lean | /-
Copyright (c) 2022 Yaël Dillies, George Shakan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, George Shakan
-/
import combinatorics.double_counting
import data.finset.pointwise
import data.rat.nnrat
/-!
# The Plünnecke-Ruzsa inequality
This file pro... |
a8aaaaa918db19974ff8b2babd9ebe7f69f8f90c | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/game/world4/level1.lean | df2e5ff5abbf7697c778b75f46288c1f19953b41 | [
"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 | 1,567 | lean | import game.world3.level9 -- hide
import mynat.pow -- new import
namespace mynat -- hide
/- Axiom : pow_zero (a : mynat) :
a ^ 0 = 1
-/
/- Axiom : pow_succ (a b : mynat) :
a ^ succ(b) = a ^ b * a
-/
/-
# Power World
A new world with seven levels. And a new import!
This import gives you the power to make powers o... |
a4f055e634af3157cc23498cb781180c1ceed814 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/Reformat.lean | 53f43103989a2b07744395622c600b2d46ec0701 | [
"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 | 994 | lean | /-! Parse and reformat file -/
import Lean.PrettyPrinter
open Lean
open Lean.Elab
open Lean.Elab.Term
open Std.Format open Std
unsafe def main (args : List String) : IO Unit := do
let (debug, f) : Bool × String := match args with
| [f, "-d"] => (true, f)
| [f] => (false, f)
| _ => panic! "usage: f... |
e494c951e01b3a245f7fac87f1e5b695704af3bb | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/data/holor.lean | 9e23effb51f64d62d26fb4bd9e02a2218c01d26a | [
"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 | 14,152 | 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
import algebra.big_operators.basic
/-!
# Basic properties of holors
Holors are indexed collections of tensor coefficients. Confusin... |
da5ba7e1c008c81ac5424274158ff63a630de7d6 | 572fb32b6f5b7c2bf26921ffa2abea054cce881a | /src/week_2/Part_B_subgroups.lean | c9c03b88292f4eb1192cbaaf20e63f0ff2e6ed1a | [
"Apache-2.0"
] | permissive | kgeorgiy/lean-formalising-mathematics | 2deb30756d5a54bee1cfa64873e86f641c59c7dc | 73429a8ded68f641c896b6ba9342450d4d3ae50f | refs/heads/master | 1,683,029,640,682 | 1,621,403,041,000 | 1,621,403,041,000 | 367,790,347 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,460 | lean | /-
Change the below line to
import week_2.kb_solutions.Part_A_groups_solutions
(once the solutions are posted) if you want to get rid of the warning
-/
import week_2.Part_A_groups
/-!
## Subgroups
We define the structure `subgroup G`, whose terms are subgroups of `G`.
A subgroup of `G` is implemented as a subse... |
510316b7b197312161eee2cc5556cfdef10192c5 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/topology/metric_space/baire.lean | 5fbff5386f6034b7b8f5b0c37e3919482d2742fc | [
"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 | 15,239 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
Baire theorem: in a complete metric space, a countable intersection of dense open subsets is dense.
The good concept underlying the theorem is that of a Gδ set, ... |
c66d3e734f76ff9b4492e4eacd53e0ee913ec943 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/decClassical.lean | fa3aa9780c8138d22c145b025b29c811f00a98ac | [
"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 | 302 | lean | open Classical
theorem ex : if (fun x => x + 1) = (fun x => x + 2) then False else True := by
have (fun x => x + 1) ≠ (fun x => x + 2) by
intro h
have 1 = 2 from congrFun h 0
contradiction
rw ifNeg this
exact True.intro
def tst (x : Nat) : Bool :=
if 1 < 2 then true else false
|
cff8740ad91ec25e018cf7f00713ef9e55cb8adb | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/ring_theory/dedekind_domain.lean | c0f2d6b3b4d6fcb45e6b8c83a1a100ff1edd370a | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 42,324 | lean | /-
Copyright (c) 2020 Kenji Nakagawa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenji Nakagawa, Anne Baanen, Filippo A. E. Nuccio
-/
import ring_theory.discrete_valuation_ring
import ring_theory.fractional_ideal
import ring_theory.ideal.over
import ring_theory.int... |
c81dd106cb78eb9d14dfc2e90f34d75f96d0ebff | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/setoid/basic.lean | 329a64a77dd3875025b6776a26907a9903a235ec | [
"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 | 16,333 | 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... |
0f19055e795aa68c0cbda64e67238f861113580f | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/algebra/binary.lean | 9678399c05303d84929da4a3155f766331e4b96f | [
"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 | 3,709 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
General properties of binary operations.
-/
open function
namespace binary
section
variable {A : Type}
variables (op₁ : A → A → A) (... |
4cdf06c373e2e616afd7ffbbe8f9a38a6d07d42b | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/field_theory/normal.lean | d4725a1ba58275c31dc2febf1fcaf06cbc5aa131 | [
"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 | 15,217 | 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 field_theory.adjoin
import field_theory.tower
import group_theory.solvable
import ring_theory.power_basis
/-!
# Normal field extensions
In this file we define normal ... |
8a675566ff453e894f604a85989f468a6787f5b4 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/ring_theory/witt_vector/frobenius.lean | 2d3b0e094a505b4b936e19117fa9d2121e76248a | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,345 | 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 data.nat.multiplicity
import ring_theory.witt_vector.basic
import ring_theory.witt_vector.is_poly
/-!
## The Frobenius operator
If `R` has characteristic `... |
85df88624f2b09656f68544528f4aeca1db9802f | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/matrix/basis.lean | 262bf58bb909bb0d4a32272a50c1f725aa8a357a | [] | no_license | Or7ando/group_representation | a681de2e19d1930a1e1be573d6735a2f0b8356cb | 9b576984f17764ebf26c8caa2a542d248f1b50d2 | refs/heads/master | 1,662,413,107,324 | 1,590,302,389,000 | 1,590,302,389,000 | 258,130,829 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 171 | lean | import linear_algebra.determinant
import linear_algebra.matrix
import data.complex.basic
open linear_map
notation `Σ` := finset.sum finset.univ
universe variables u v w |
1ba669f20b40149a87180df5d1309adea24a59de | 94e33a31faa76775069b071adea97e86e218a8ee | /src/set_theory/cardinal/basic.lean | 7be2e3c90f840c799f7ec3ccb15db06cd9f293d0 | [
"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 | 65,265 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Floris van Doorn
-/
import data.nat.part_enat
import data.set.countable
import logic.small
import order.conditionally_complete_lattice
import order.succ... |
84b0b7c29ec556b9327c8bacfd0c8c1642d619ae | 46125763b4dbf50619e8846a1371029346f4c3db | /src/measure_theory/measurable_space.lean | 7a49dc4b5584fc677c70cb39d962c3e3643b5259 | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 44,027 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Measurable spaces -- σ-algberas
-/
import data.set.disjointed order.galois_connection data.set.countable
/-!
# Measurable spaces and measurable functio... |
795c2b4bb7675c4e2d792e85779162e662335ba7 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/rearrangement.lean | f3fa11c25eb67e6375d251a5fd7889ce064a21df | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 27,943 | lean | /-
Copyright (c) 2022 Mantas Bakšys. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mantas Bakšys
-/
import algebra.big_operators.basic
import algebra.order.module
import data.prod.lex
import group_theory.perm.support
import order.monovary
import tactic.abel
/-!
# Rea... |
a5dc86f5226ec0a0b316353b4daedc2a955cc5c4 | 5412d79aa1dc0b521605c38bef9f0d4557b5a29d | /stage0/src/Lean/Meta/UnificationHint.lean | 948428b1669426acbe84d18be060af8b477c281b | [
"Apache-2.0"
] | permissive | smunix/lean4 | a450ec0927dc1c74816a1bf2818bf8600c9fc9bf | 3407202436c141e3243eafbecb4b8720599b970a | refs/heads/master | 1,676,334,875,188 | 1,610,128,510,000 | 1,610,128,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,107 | 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.ScopedEnvExtension
import Lean.Util.Recognizers
import Lean.Meta.DiscrTree
import Lean.Meta.LevelDefEq
namespace Lean.Meta
structure Unificati... |
8488b8169793a4a0581b0266e0daeab7d064716f | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/topology/instances/real.lean | cdc7acb44760454bbd99343d8c1db98dcc3a6beb | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 14,538 | 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.metric_space.basic
import topology.algebra.uniform_group
import topology.algebra.ring
/-!
# Topological properties of ℝ
-/
noncomputa... |
c5015bf265e02dee343b3b112fb909a214f9b61f | a9e33f9c83301c461f3c3ebc6799d9de1f6d4d20 | /assignments/hw2_a_few_easy_pieces.lean | 4039bbd1d4ff83dcbfe2472d6c1dbced62d19fe3 | [] | no_license | yl4df/Discrete-Mathematics | f1c9a6cf8cfb4686fb617637f69a481e1522f0c2 | c93ce9f6a6e36d194e350d9fa0a0360191e97fa0 | refs/heads/master | 1,598,714,938,443 | 1,572,275,647,000 | 1,572,275,647,000 | 218,074,726 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,459 | lean | /-
UVa CS Discrete Math (Sullivan) Homework #2
-/
/-
Note: We distribute homework assignments and
even exams as Lean files, as we do now for this
assignment. You will answer the questions in one
of two ways: by writing an answer in a comment block
(such as this one), or by writing mathematical logic
(which is what ... |
3711c1fc55e84c9604c579d40881ce1581f51eb9 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/ring_theory/free_comm_ring.lean | 75232d85b3def1e73702c0b6eab472ac72aae1fb | [
"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 | 16,014 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin
-/
import data.equiv.functor
import data.mv_polynomial
import ring_theory.ideal_operations
import ring_theory.free_ring
noncomputable theory
local attribute [inst... |
32b0d0fa2cb2796d18e16d33b3df735387f435d7 | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170410-rewrite_nth.lean | aab9d01f88526101444a73a5acb8ddb9c93f21e8 | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,146 | lean | open tactic
open lean.parser
open interactive
namespace tactic.interactive
open lean
open lean.parser
private meta def resolve_name' (n : name) : tactic expr :=
do {
p ← resolve_name n,
match p.to_raw_expr with
| expr.const n _ := mk_const n -- create metavars for universe levels
| _ ... |
8b73e5d30cb097bc317349f25286a9972a4292e4 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0708.lean | 29f64b7890c6c1ae910e0a3b815dfed3e0018ae5 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 115 | lean | variables (f : ℕ → ℕ) (k : ℕ)
example (h₁ : f 0 = 0) (h₂ : k = 0) : f k = 0 :=
by simp [h₁, h₂]
|
1b6503085c86e70035f93e19629fe3bd3b2984ef | e94d3f31e48d06d252ee7307fe71efe1d500f274 | /hott/homotopy/susp.hlean | aab3ab60866ed6beb57a93fb902256b4f7ae1ffd | [
"Apache-2.0"
] | permissive | GallagherCommaJack/lean | e4471240a069d82f97cb361d2bf1a029de3f4256 | 226f8bafeb9baaa5a2ac58000c83d6beb29991e2 | refs/heads/master | 1,610,725,100,482 | 1,459,194,829,000 | 1,459,195,377,000 | 55,377,224 | 0 | 0 | null | 1,459,731,701,000 | 1,459,731,700,000 | null | UTF-8 | Lean | false | false | 10,996 | 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, Ulrik Buchholtz
Declaration of suspension
-/
import hit.pushout types.pointed cubical.square .connectedness
open pushout unit eq equiv
definition susp (A : Type... |
c404a571f2dab6d74fc2a47fed9ec88cd611bc52 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /data/dfinsupp.lean | 57d1d579c4b19a0822655098433378c2985db965 | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,952 | 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
Dependent functions with finite support (see `data/finsupp.lean`).
-/
import data.finset data.set.finite algebra.big_operators algebra.module algebra.pi_instance... |
754c0f838eaadd38ef7b3f7befc495a096cc3444 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/system/io.lean | 6d5f67226cdd3ea2d113d3126fc9c2fe41d63a06 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,212 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch and Leonardo de Moura
-/
universe u
constant io : Type u → Type u
protected constant io.return : ∀ {α : Type u}, α → io α
protected constant io.bind ... |
e27b8a053b4e93937726e1ccf249aad3d22df900 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/category_theory/limits/shapes/constructions/limits_of_products_and_equalizers.lean | b488a0b8a7e8bf57195bb115d1d1e08a863c3d61 | [
"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 | 4,767 | 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.... |
54927aaed4d32df16b19eef568460ba8d7f577ce | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/polynomial/cancel_leads.lean | 5d8ac8894f5ba07885d3afcf1f995739e4754f06 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 2,949 | 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 data.polynomial.degree.definitions
/-!
# Cancel the leading terms of two polynomials
## Definition
* `cancel_leads p q`: the polynomial formed by multiplyin... |
9d26e5dc2cde79e0df49597f22c835449cedaaf9 | e4d500be102d7cc2cf7c341f360db71d9125c19b | /src/algebra/ordered_field.lean | 4a30fc9938200a11fc7935dae987a23c4a7d17db | [
"Apache-2.0"
] | permissive | mgrabovsky/mathlib | 3cbc6c54dab5f277f0abf4195a1b0e6e39b9971f | e397b4c1266ee241e9412e17b1dd8724f56fba09 | refs/heads/master | 1,664,687,987,155 | 1,591,255,329,000 | 1,591,255,329,000 | 269,361,264 | 0 | 0 | Apache-2.0 | 1,591,275,784,000 | 1,591,275,783,000 | null | UTF-8 | Lean | false | false | 25,406 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro
-/
import algebra.ordered_ring
import algebra.field
set_option default_priority 100 -- see Note [default priority]
set_option old_structu... |
fbb406593f45bc980ce46d46a07bda4d48407760 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/geometry/manifold/whitney_embedding.lean | 2532787d986f5cbf35d052f72b0c599c5026bcd9 | [
"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 | 6,268 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import geometry.manifold.partition_of_unity
/-!
# Whitney embedding theorem
In this file we prove a version of the Whitney embedding theorem: for any compac... |
dfc4dd21deecf9b4c44567f8acaba5cc5ce3fca6 | 59a4b050600ed7b3d5826a8478db0a9bdc190252 | /src/category_theory/universal/comparisons/cones.lean | 8ad327f99a6a15dcc3f5ea49bf8870079139807d | [] | no_license | rwbarton/lean-category-theory | f720268d800b62a25d69842ca7b5d27822f00652 | 00df814d463406b7a13a56f5dcda67758ba1b419 | refs/heads/master | 1,585,366,296,767 | 1,536,151,349,000 | 1,536,151,349,000 | 147,652,096 | 0 | 0 | null | 1,536,226,960,000 | 1,536,226,960,000 | null | UTF-8 | Lean | false | false | 2,146 | 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.equivalence
import category_theory.universal.cones
import category_theory.universal.comma_categories
open category_theory
... |
76f88d2c0bc7493217edbaecfeac8ffeda310f9d | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Lean/Elab/Tactic/ElabTerm.lean | ba073d2cf0741aaf1ae34be696f00b7b509b78e8 | [
"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 | 9,261 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.CollectMVars
import Lean.Meta.Tactic.Apply
import Lean.Meta.Tactic.Constructor
import Lean.Meta.Tactic.Assert
import Lean.Elab.Tactic.Basic... |
7abc51a137ae6fb474be9ba65325f3ff8c1dec81 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/class6.lean | 9897342e86b9864526f86194af6823b97e432722 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 293 | lean | import standard
using pair
inductive t1 : Type :=
| mk1 : t1
inductive t2 : Type :=
| mk2 : t2
theorem inhabited_t1 : inhabited t1
:= inhabited_intro mk1
theorem inhabited_t2 : inhabited t2
:= inhabited_intro mk2
instance inhabited_t1 inhabited_t2
theorem T : inhabited (t1 × t2)
:= _
|
b242774753f775ab662b2750246b65b0cb20d067 | ba4794a0deca1d2aaa68914cd285d77880907b5c | /src/game/world3/level2.lean | 32e85e82890c085fc94859702798ee149166292b | [
"Apache-2.0"
] | permissive | ChrisHughes24/natural_number_game | c7c00aa1f6a95004286fd456ed13cf6e113159ce | 9d09925424da9f6275e6cfe427c8bcf12bb0944f | refs/heads/master | 1,600,715,773,528 | 1,573,910,462,000 | 1,573,910,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 793 | lean | import game.world3.level1 -- hide
import mynat.mul -- hide
namespace mynat -- hide
/-
# Multiplication World
## Level 2: `mul_one`
Remember that you can see everything you have proved so far about multiplication in
the drop-down box on the left (and that this list will grow as we proceed).
In this level we'll need... |
ce86558eaad4adb564a309ac751e1b91f0be7036 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/apply_tac_bug.lean | fe5bb8224e9492da905cc059aa445a4007ac7699 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 338 | lean | import macros
import tactic
theorem my_proof_irrel {a b : Bool} (H1 : a) (H2 : b) : H1 == H2
:= let H1b : b := cast (by simp) H1,
H1_eq_H1b : H1 == H1b := hsymm (cast_heq (by simp) H1),
H1b_eq_H2 : H1b == H2 := to_heq (proof_irrel H1b H2)
in htrans H1... |
1037218c58921233f68d65e563264dbc2b771ffc | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/pkg/user_ext/UserExt/FooExt.lean | 686ec53f824b3203b0078e5bd285f553d8d88784 | [
"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 | 858 | lean | import Lean
open Lean
initialize fooExtension : SimplePersistentEnvExtension Name NameSet ←
registerSimplePersistentEnvExtension {
name := `fooExt
addEntryFn := NameSet.insert
addImportedFn := fun es => mkStateFromImportedEntries NameSet.insert {} es
}
initialize registerTraceClass `myDeb... |
623ebab67411ab26bfad733b0865d18d2a843fcc | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/autoBoundPostponeLoop.lean | 24b7a911dfe57967de24f8ff9e94a8048583cd96 | [
"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 | 131 | lean | theorem ex
(h₁ : α = β)
(as : List α)
(bs : List β)
(h₂ : (h ▸ as) = bs)
: True :=
True.intro
|
cc083086c25971456d953ec13fc7300437c2e25d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/measure_theory/decomposition/jordan.lean | e8d1f7ec11632339073e52645aa7dead45ad3029 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 25,242 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.decomposition.signed_hahn
import measure_theory.measure.mutually_singular
/-!
# Jordan decomposition
This file proves the existence and uniqueness o... |
44c67612dda925a1ab83164f7acf6230af2fd93f | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex49.lean | 0261a72d987fab3db6b9b1e409d3cb0d36495a29 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 553 | lean | variables (A : Type) (p q : A → Prop)
example (h : ∃ x, p x ∧ q x) : ∃ x, q x ∧ p x :=
exists.elim h
(take w,
assume hw : p w ∧ q w,
show ∃ x, q x ∧ p x, from ⟨w, hw^.right, hw^.left⟩)
example (h : ∃ x, p x ∧ q x) : ∃ x, q x ∧ p x :=
match h with
| ⟨w, hw⟩ := ⟨w, hw^.right, hw^.left⟩
end
example (h : ∃ x, p ... |
e2230641762c0a9d70b8d9dfe772cd968b591333 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/pfun.lean | 9725b94e6207c4bd056ab86a3fd1a1f99d3c47cd | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 22,200 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Jeremy Avigad
-/
import data.set.basic data.equiv.basic data.rel logic.relator
/-- `roption α` is the type of "partial values" of type `α`. It
is similar to `option α... |
1be8b680dec47bdce07a9d24e0c7aa6294d2149e | 2272e503179a58556187901b8698b789fad7e0c4 | /src/morphism.lean | eabc1849592579a56da3440c0de1e58f9c668f02 | [] | no_license | kckennylau/category-theory | f15e582be862379453a5341d83b8cd5ebc686729 | b24962838c7370b5257e38b7648040aec95922bb | refs/heads/master | 1,583,605,043,449 | 1,525,154,882,000 | 1,525,154,882,000 | 127,633,452 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,481 | lean | import .basic
universes u v
namespace category
variables {α : Type u} (C : category.{u v} α)
variables {x y z : α} (f : C.Mor x y)
@[reducible] def monomorphism : Prop :=
∀ {z : α} (g h : C.Mor z x) (H : C.Comp _ _ _ f g = C.Comp _ _ _ f h), g = h
@[reducible] def epimorphism : Prop :=
∀ {z : α} (g h ... |
a5bae4b61a5eefcfad4151dfaf028d62ab0401aa | a726f88081e44db9edfd14d32cfe9c4393ee56a4 | /world_experiments/world9/level2.lean | b43f45a5043cd36e8e1fedc26df2a5787593bfef | [] | no_license | b-mehta/natural_number_game | 80451bf10277adc89a55dbe8581692c36d822462 | 9faf799d0ab48ecbc89b3d70babb65ba64beee3b | refs/heads/master | 1,598,525,389,186 | 1,573,516,674,000 | 1,573,516,674,000 | 217,339,684 | 0 | 0 | null | 1,571,933,100,000 | 1,571,933,099,000 | null | UTF-8 | Lean | false | false | 2,004 | lean | import game.world5.level1 -- hide
namespace mynat -- hide
/-
# World 5 : Inequality world
## Level 2 : `le_succ`
In this level we will find ourselves with a *hypothesis* of the form `h : ∃ c, P`
where `P` is some
proposition (which probably depends on `c`). To extract `c` from `h` you
can use the `cases` tactic. If... |
171872854a768e9093615fd9261f283ed184738f | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/analysis/special_functions/integrals.lean | cca70a2cd21fe95c4258e1b8cc6190598aebd497 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,160 | lean | /-
Copyright (c) 2021 Benjamin Davidson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Benjamin Davidson
-/
import measure_theory.interval_integral
/-!
# Integration of specific interval integrals
This file contains proofs of the integrals of various specific functi... |
23fd3598ebb768fe5c716b820b90e4db31721f6e | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/lattice.lean | 891f61767791d25797d06bee4e24e84e56012245 | [
"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 | 2,490 | 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.limits.shapes.finite_limits
import order.complete_lattice
universes u
open category_theory
namespace category_theory.limits
variables {α : ... |
f27a9a1d494851a2fbcf0862fa2b1880058e3ac3 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/group_theory/group_action/basic.lean | 3ec60f4ea2825a4ea17627039405db009956ee14 | [
"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 | 7,306 | 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... |
0ce7ae40fccbb5c6cc7e4b78b1a93ffbe819e7ad | 130d371f971f05e5686dfbc39bba9b3867057815 | /src/basic.lean | b14f780029c23e774c0bebcf1de7131fb3e7f3d1 | [] | no_license | JasonKYi/analysis_with_filters | 7d5df1a0966e21d54e3baa5b7e2b72938f190fa6 | a1182aa3965f034d27b5cf493ee9737972cbbf2a | refs/heads/master | 1,669,288,659,683 | 1,596,107,251,000 | 1,596,107,251,000 | 283,021,905 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 8,303 | lean | import order.filter.basic topology.separation tactic
variables {α : Type*}
noncomputable theory
open set classical
local attribute [instance] classical.prop_decidable
/-
structure filter (α : Type*) :=
(sets : set (set α))
(univ_sets : set.univ ∈ sets)
(sets_of_superset {x y} : x ∈ se... |
954994dc679e39f52d77023d4de8dbf65194ef88 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/sum.lean | 00aec690287945d9a99bbffa9d02c1d0fafb2a8e | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 4,107 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
More theorems about the sum type.
-/
universes u v
variables {α : Type u} {β : Type v}
open sum
attribute [derive decidable_eq] sum
@[simp] theorem sum.forall {p : α... |
b95f38d09cb6261499b4354b916e312dea5dcfa1 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/casesRec.lean | 2adf9e10e19929745caf7e0465687724ff6162bd | [
"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 | 1,029 | lean | namespace Ex1
def f (x : Nat) : Nat := by
cases x with
| zero => exact 1
| succ x' =>
apply Nat.mul 2
exact f x'
#eval f 10
example : f x.succ = 2 * f x := rfl
end Ex1
namespace Ex2
inductive Foo where
| mk : List Foo → Foo
mutual
def g (x : Foo) : Nat := by
cases x with
| mk xs => exact gs xs
... |
ac523f793c39eb291340ebd7ca82dc9c643cc451 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Init/Data/String/Basic.lean | 204a4371a7132809e420ad9d975e45357aff6b88 | [
"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 | 17,122 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.List.Basic
import Init.Data.Char.Basic
import Init.Data.Option.Basic
universe u
def List.asString (s : List Char) : String :=
⟨s⟩... |
753377a714b0f90c4716082c99855751aed7f432 | 80162757f50b09d3cad5564907e4c9b00742e045 | /order.lean | 5246db0197c907b766004faff60917e0c97e217c | [] | no_license | EdAyers/edlib | cc30d0a54fed347a85b6df6045f68e6b48bc71a3 | 78b8c5d91f023f939c102837d748868e2f3ed27d | refs/heads/master | 1,586,459,758,216 | 1,571,322,179,000 | 1,571,322,179,000 | 160,538,917 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,603 | lean | def order_dual (α : Type*) := α
namespace order_dual
instance has_le (α : Type*) [has_le α] : has_le (order_dual α) := ⟨λx y:α, y ≤ x⟩
instance has_lt (α : Type*) [has_lt α] : has_lt (order_dual α) := ⟨λx y:α, y < x⟩
instance has_preorder (α : Type*) [preorder α] : preorder (order_dual α) :=
{ le_refl := le_refl,
... |
d67b69d0e03261deaa5196bed150a84049223a64 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/list/intervals.lean | 0e6984b4b3ccddc3cbd68cf3be08477ebcc7864c | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,956 | 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 data.list.lattice
import data.list.range
/-!
# Intervals in ℕ
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding P... |
8e505b2c9a586a23ebc2b843a0c9da119f8b95a2 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/computability/partrec_code.lean | 6602923d380a5cb239c1cb8aa74f39016d0667ed | [
"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 | 38,845 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Godel numbering for partial recursive functions.
-/
import computability.partrec
open encodable denumerable
namespace nat.partrec
open nat (mkpair)
theorem rfind' {f... |
d02fbdfed7f61cda92498eafd973409dd7dbd671 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/algebra/monoid.lean | cc0e1c518b7e307e4f77f1b51959fdb3937bdbe4 | [
"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 | 16,078 | 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.continuous_on
import group_theory.submonoid.operations
import algebra.group.prod
import algebra.pointwise
import algebra.big_operators... |
58a01c2d640925fe5f8763bee4d18ff7db267fc3 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/algebra_tower.lean | 41686bb7dd95cd46c6a51801c199ecdad814882f | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 14,082 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.invertible
import ring_theory.adjoin.fg
import linear_algebra.basis
import algebra.algebra.tower
import algebra.algebra.restrict_scalars
/-!
# Towers of algebra... |
7f438be354222454db6b6423ea6793dfa193257c | efce24474b28579aba3272fdb77177dc2b11d7aa | /src/homotopy_theory/formal/cylinder/sdr.lean | 20bdb60346a3b041e454a9440e8c03e3a10c5505 | [
"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 | 2,065 | lean | import .homotopy
universes v u
open category_theory
open category_theory.category
local notation f ` ∘ `:80 g:80 := g ≫ f
namespace homotopy_theory.cylinder
variables {C : Type u} [category.{v} C] [has_cylinder C]
-- A map j : A → X is the inclusion of a strong deformation retract if
-- it admits a retraction r : ... |
0fef2f7de86905ef48ebfcafd8380685cc7213f7 | 9d2e3d5a2e2342a283affd97eead310c3b528a24 | /src/exercises_sources/wednesday/afternoon/topological_spaces.lean | f8ccd205ee878175356003680f3d29471372d785 | [] | permissive | Vtec234/lftcm2020 | ad2610ab614beefe44acc5622bb4a7fff9a5ea46 | bbbd4c8162f8c2ef602300ab8fdeca231886375d | refs/heads/master | 1,668,808,098,623 | 1,594,989,081,000 | 1,594,990,079,000 | 280,423,039 | 0 | 0 | MIT | 1,594,990,209,000 | 1,594,990,209,000 | null | UTF-8 | Lean | false | false | 14,934 | lean | import tactic
import data.set.finite
import data.real.basic -- for metrics
/-
# (Re)-Building topological spaces in Lean
Mathlib has a large library of results on topological spaces, including various
constructions, separation axioms, Tychonoff's theorem, sheaves, Stone-Čech
compactification, Heine-Cantor, to name bu... |
10776bcda1942053e524e51b682f24d776eb9675 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Meta/Tactic/Assert.lean | 7ae0f44e903405a4563fb8eded2d39b7a460aca9 | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,045 | 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.Tactic.Util
import Lean.Meta.Tactic.FVarSubst
import Lean.Meta.Tactic.Intro
import Lean.Meta.Tactic.Revert
namespace Lean.Meta
/--
Conv... |
df3c8984d5b859c73049db80d21eff2de9187656 | ae9f8bf05de0928a4374adc7d6b36af3411d3400 | /src/formal_ml/nat.lean | 5cd5cd9e1923a06d6cb713eaa391972cc83a2c29 | [
"Apache-2.0"
] | permissive | NeoTim/formal-ml | bc42cf6beba9cd2ed56c1cd054ab4eb5402ed445 | c9cbad2837104160a9832a29245471468748bb8d | refs/heads/master | 1,671,549,160,900 | 1,601,362,989,000 | 1,601,362,989,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,264 | 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... |
69fffee766ac1d16ea8b4f5310abb585082fbfa3 | 130c49f47783503e462c16b2eff31933442be6ff | /src/Lean/Meta/Tactic/Simp/Main.lean | eea0f93279ca3647bedb11394367f29525d85672 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,457 | 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.Transform
import Lean.Meta.Tactic.Replace
import Lean.Meta.Tactic.Util
import Lean.Meta.Tactic.Clear
import Lean.Meta.Tactic.Simp.Types
imp... |
e1fc5d4da5bb2b0cad6b07f0d4c109ff97b111f3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/function.hlean | 25c569ca813364462c4f2280691b691a4ffffb15 | [
"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 | 9,368 | 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
Ported from Coq HoTT
Theorems about embeddings and surjections
-/
import hit.trunc types.equiv cubical.square
open equiv sigma sigma.ops eq trunc is_trunc pi is_eq... |
20b8eea1e9ba0b1061c1263b58967ebd8c6dde95 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/limits/shapes/constructions/binary_products.lean | 20a74ad261f272cc3251657a956109b154b85833 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 1,641 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.binary_products
universes v u
/-!
# Constructing binary product from pullbacks and t... |
17f94d88228ed5a19e4e667451b88c9601617b89 | dc253be9829b840f15d96d986e0c13520b085033 | /pointed_pi.hlean | c8d8b8338ca09ea9b6c5e48c768fd3b45c310053 | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 50,157 | hlean | /-
Copyright (c) 2016 Ulrik Buchholtz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz, Floris van Doorn
-/
import homotopy.connectedness types.pointed2 .move_to_lib .pointed
open eq pointed equiv sigma is_equiv trunc option pi function fiber
/-
In ... |
f3b41a062fd19d413b4b5817fa770483d32622a8 | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /src/topology/order.lean | cab31ed76ebf8b5cc691657fab17ec37c534fde2 | [
"Apache-2.0"
] | permissive | pimsp/mathlib | 8b77e1ccfab21703ba8fbe65988c7de7765aa0e5 | 913318ca9d6979686996e8d9b5ebf7e74aae1c63 | refs/heads/master | 1,669,812,465,182 | 1,597,133,610,000 | 1,597,133,610,000 | 281,890,685 | 1 | 0 | null | 1,595,491,577,000 | 1,595,491,576,000 | null | UTF-8 | Lean | false | false | 27,833 | 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.basic
/-!
# Ordering on topologies and (co)induced topologies
Topologies on a fixed type `α` are ordered, by reverse inclusion.
That... |
3062690ae2ff3cc071836b3d6f63e06cc6c32a4c | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/place_eqn.lean | 40bcc3969b17d8b94d5229304d9a8b96a586077d | [
"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 | 79 | lean | open nat
definition foo : nat → nat
| foo zero := _
| foo (succ a) := _
|
53573bf1244ea1bdd4a305455e2651009bec5e9a | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/tactic/norm_num.lean | 36f34ead452aef9ea129d62a97b899fb235e9a37 | [
"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 | 59,966 | lean | /-
Copyright (c) 2017 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Mario Carneiro
-/
import data.rat.cast
import data.rat.meta_defs
/-!
# `norm_num`
Evaluating arithmetic expressions including `*`, `+`, `-`, `^`, `≤`.
-/
universes u v w
n... |
004161e21e17d04fdc5c689905d7ec8d24e5320c | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/data/real/ereal.lean | e36f4927492f1011db51ef20a9bbf1178b6d4db0 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,590 | lean | /-
Copyright (c) 2019 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import data.real.basic
import data.real.ennreal
/-!
# The extended reals [-∞, ∞].
This file defines `ereal`, the real numbers together with a top and bottom element,
... |
41565bc09dd50c3ff19ac969472a109d7ab58f88 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Compiler/LCNF/Specialize.lean | 0973ff9099384d966449e9d59ef51d36698f2400 | [
"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 | 17,779 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.ForEachExpr
import Lean.Compiler.Specialize
import Lean.Compiler.LCNF.Simp
import Lean.Compiler.LCNF.SpecInfo
import Lean.Compiler.LCNF.Pre... |
37a12f696bcbc0a57d91473216c9ff6bb04e348d | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/adjoin_root.lean | d3d24d4c9c20e4283a703b3cb69f212739d3bf82 | [
"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 | 9,718 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
Adjoining roots of polynomials
-/
import data.polynomial.field_division
import linear_algebra.finite_dimensional
import ring_theory.adjoin.basic
import ri... |
f40bce57b674a961b5fde9fbf8012e001d2628bf | 5382d69a781e8d7e4f53e2358896eb7649c9b298 | /impossible.lean | de9821a355b55a81978bf9997e2f530231197ba7 | [] | no_license | evhub/lean-math-examples | c30249747a21fba3bc8793eba4928db47cf28768 | dec44bf581a1e9d5bf0b5261803a43fe8fd350e1 | refs/heads/master | 1,624,170,837,738 | 1,623,889,725,000 | 1,623,889,725,000 | 148,759,369 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,534 | lean | import .posets
namespace impossible
open nat
open posets
-- bool:
instance bool_order:
bot_order bool := {
le := λ x y: bool, x = ff ∨ (x = tt ∧ y = tt),
le_refl := begin
intros,
induction a;
simp,
end,
... |
76e2eb05305ea2ebd55985df8c68613dd4900e94 | 7b9ff28673cd3dd7dd3dcfe2ab8449f9244fe05a | /src/jesse/exercises-day-one-solutions.lean | e20f2bd8731e5e6a50e05a80872cb19d41c7aee4 | [] | no_license | jesse-michael-han/hanoi-lean-2019 | ea2f0e04f81093373c48447065765a964ee82262 | a5a9f368e394d563bfcc13e3773863924505b1ce | refs/heads/master | 1,591,320,223,247 | 1,561,022,886,000 | 1,561,022,886,000 | 192,264,820 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 6,113 | lean | import tactic tactic.explode
open classical
/- Fill in the `sorry`s below -/
local attribute [instance, priority 0] prop_decidable
example (p : Prop) : p ∨ ¬ p :=
begin
by_cases p,
{ left, assumption },
{ right, assumption }
end
example (p : Prop) : p ∨ ¬ p :=
begin
by_cases h' : p,
{ left, exact h' },... |
d8c53d5c253d4b9bac210207bc9b37e3bfd7111b | 92c6b42948d74fe325c2d88530f1d36da388b2f7 | /src/cvc4/sig/th_base.lean | 5709f8bf59a806743ae0f317974ada11f7b7c897 | [
"MIT"
] | permissive | riaqn/smtlean | 8ad65055b6c1600cd03b9e345059a3b24419b6d5 | c11768cfb43cd634340b552f5039cba094701a87 | refs/heads/master | 1,584,569,627,940 | 1,535,314,713,000 | 1,535,314,713,000 | 135,333,334 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 76 | lean | namespace sig
axiom trust : false
axiom trust_f (α : Prop) : α
end sig
|
203b546ec995713fc55a3c86c38eb55c268b4949 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/MetavarContext.lean | 836570e235449c4b8afb10b4430fb6162621d684 | [
"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 | 51,230 | 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.MonadCache
import Lean.LocalContext
namespace Lean
/-
The metavariable context stores metavariable declarations and their
assignments. It... |
0e8e8a3973b442815eb0c277dfe351643f1ca559 | b9def12ac9858ba514e44c0758ebb4e9b73ae5ed | /src/monoidal_categories_reboot/tensor_product.lean | 264e6ff5c73a49598d0717045f83b11749eea8e0 | [
"Apache-2.0"
] | permissive | cipher1024/monoidal-categories-reboot | 5f826017db2f71920336331739a0f84be2f97bf7 | 998f2a0553c22369d922195dc20a20fa7dccc6e5 | refs/heads/master | 1,586,710,273,395 | 1,543,592,573,000 | 1,543,592,573,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,305 | lean | -- Copyright (c) 2018 Michael Jendrusch. All rights reserved.
import category_theory.category
import category_theory.functor
import category_theory.products
import category_theory.natural_isomorphism
open category_theory
universes u v
open category_theory.category
open category_theory.functor
open category_theory.p... |
fd772c9724f5aec5c35b3787d26370a478750d75 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/category_theory/fully_faithful.lean | 34cd797f2fc88a754da412864fcef4fd8a558749 | [
"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 | 3,005 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.isomorphism
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v`'s first; see `category_theory.category` for an explanation
namespace category_... |
d2ce3a744ee056ce08e7d44aa1f0d313d336bdf2 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Data/LOption.lean | ae29a55699af4d703f200e6e993fafd5698988c4 | [
"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 | 1,094 | 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.Data.ToString
universes u
namespace Lean
inductive LOption (α : Type u)
| none {} : LOption
| some : α → LOption
| undef {} : LOp... |
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