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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5397beec0b85c08fc2cb5164efe472596d3e5d46 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/filter/at_top_bot.lean | e0cc32ed65b4bcd2722acbf2b46fb096ccc77135 | [
"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 | 80,831 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import algebra.order.field.basic
import data.finset.preimage
import data.set.intervals.disjoint
import data.set.interv... |
48b0e762bc6d04b5c78ab4e08e1883d37e5d034b | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/dfinsupp.lean | 35810fb2c7b790ce6b646bf4275ec81105419136 | [
"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 | 42,025 | 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 algebra.module.linear_map
import algebra.module.pi
import algebra.big_operators.basic
import data.set.finite
import linear_algebra.basic
/-!
# Dependent... |
1b7231f39f3cfc3c1b37a62b122d12939c979d53 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/category/state.lean | 0d879655224c8aaedb040fefd091d4c208533617 | [
"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 | 3,648 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.interactive
universes u v
def state (σ α : Type u) : Type u :=
σ → α × σ
section
variables {σ α β : Type u}
@[inline] def state_... |
4908d662b49d48499d3a3c0a98a91d0925e32df7 | 367134ba5a65885e863bdc4507601606690974c1 | /archive/imo/imo1964_q1.lean | 4e98e810eccb32fe0a96c9ffc9bf1bab403a7862 | [
"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 | 2,877 | lean | /-
Copyright (c) 2020 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import tactic
import data.nat.modeq
/-!
# IMO 1964 Q1
(a) Find all positive integers $n$ for which $2^n-1$ is divisible by $7$.
(b) Prove that there is no positive ... |
7b97631f1bf648ee2559328307fabbedef090c76 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/metric_space/basic.lean | 614e336e1644e2bca19492b7d5a3249aca82f4f6 | [
"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 | 103,831 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import data.int.interval
import topology.algebra.ordered.compact
import topology.metric_space... |
427b8dd508a70ca3b0289e8c9696d04a1e605eff | ff5230333a701471f46c57e8c115a073ebaaa448 | /library/init/algebra/order.lean | ab3f8320ab324a3e02cc88fe974e7bab664fa26f | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 9,253 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.logic init.classical init.meta.name init.algebra.classes
/- Make sure instances defined in this file have lower priority than the ones
... |
3148cf9c5c69af97808a40225d510042f1c3231e | 9bb72db9297f7837f673785604fb89b3184e13f8 | /tests/lean/json.lean | 8a5974327565568d00a4e1ed590bae8069b45ace | [
"Apache-2.0"
] | permissive | dselsam/lean | ec83d7592199faa85687d884bbaaa570b62c1652 | 6b0bd5bc2e07e13880d332c89093fe3032bb2469 | refs/heads/master | 1,621,807,064,966 | 1,611,454,685,000 | 1,611,975,642,000 | 42,734,348 | 3 | 3 | null | 1,498,748,560,000 | 1,442,594,289,000 | C++ | UTF-8 | Lean | false | false | 1,537 | lean | #eval to_string $ json.parse $ "[0.7]"
run_cmd tactic.success_if_fail $ json.parse "spurgles"
meta def ball : list bool → bool :=
λ xs, xs.foldl band tt
meta instance : decidable_eq native.float := by apply_instance
meta def json.compare : Π (x y : json), bool
| (json.of_string s) (json.of_string s') := s = s'
| (js... |
7fe2a43b787cecf162c68eb39da4b8b4112234bd | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/interactive/goal_info.lean | 96bbbbd758c310dfb02172d624c89e9653c9d526 | [
"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 | 925 | lean | constant addc {a b : nat} : a + b = b + a
constant addassoc {a b c : nat} : (a + b) + c = a + (b + c)
constant zadd (a : nat) : 0 + a = a
open nat
example : ∀ n m : ℕ, n + m = m + n :=
begin
intros n m,
induction m with m' ih,
--^ "command": "info"
{ change n + 0 = 0 + n, simp [zadd] },
... |
fe4cc74d89dcf4d39929730eb265b0be51f8b5a1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/fully_faithful.lean | 678eb927e4c37939304ffb7bb76ad00088de9d66 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,038 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.natural_isomorphism
import Mathlib.data.equiv.basic
import Mathlib.PostPort... |
0cb8e846f27b3f999f4fcad94274337f476d563b | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/measure/ae_disjoint.lean | 6b740e0197ffc5d10ba353156405b738802fee5f | [
"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 | 5,560 | 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 measure_theory.measure.measure_space_def
/-!
# Almost everywhere disjoint sets
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file requir... |
a2e7e2b21964b5cf0b774e62c7f3dd4c98beb616 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/algebra/pi_instances.lean | d516f73c1df9ca6214ce6715f4fd425b885c3d29 | [
"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 | 19,229 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import algebra.module
import ring_theory.subring
import ring_theory.prod
open_locale big_operators
/-!
# Pi instances for algebraic structures
## Impleme... |
b5bcdcba94c4ab6b1c611748d838248a389f1a49 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/do_const_pat.lean | 6fcf9604a86a8e3d6171d0b7435f84156f0dbcbc | [
"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 | 59 | lean | run_cmd do
tt ← pure ff | tactic.skip,
tactic.failed
|
8d29a24822195420e1fe8b4fd2044039b8d92ac2 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/group_theory/perm/cycle_type.lean | efb6b818ee83e24aef6cb7d21a4ba3e95f3409ef | [
"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 | 18,882 | lean | /-
Copyright (c) 2020 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import combinatorics.partition
import algebra.gcd_monoid.multiset
import tactic.linarith
import group_theory.perm.cycles
import group_theory.sylow
/-!
# Cycle Typ... |
2a5a572dff6b33058b1db4768e6153709a706e66 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/simple.lean | 02ffe82a9f44edbbdd9f18ce464a3086101b2471 | [
"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 | 3,994 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import category_theory.limits.shapes.zero
import category_theory.limits.shapes.kernels
import category_theory.abelian.basic
noncomputable theory
open... |
b8db17bfe6b726f676483fab389e9b5832ed9d12 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/tactic17.lean | b8f0ebe99bf93112c3444ba23cf8e418c417c196 | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 243 | lean | import logic
open tactic
constant A : Type.{1}
constant f : A → A → A
theorem tst {a b c : A} (H1 : a = b) (H2 : b = c) : f a b = f b c :=
begin
apply (@congr A A _ _ (f a) (f b)),
assumption,
apply (congr_arg f),
assumption
end
|
e8c98596475c56fe3e9460a391e5e5a8f80585b8 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/ring_theory/derivation.lean | 81ea1dd99b7ea92d22d50460f39f566f7be044f4 | [
"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 | 9,838 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import algebra.lie.of_associative
import ring_theory.algebra_tower
/-!
# Derivations
This file defines derivation. A derivation `D` from the `R`-algebra `A` to t... |
a09be8d7a88fbb235a69d56f6ebdbf2f10b52e05 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /src/Lean/LocalContext.lean | 9b50d7252eacd328251e718a7c75332ef07d142c | [
"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 | 15,089 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Std.Data.PersistentArray
import Lean.Expr
import Lean.Hygiene
namespace Lean
inductive LocalDecl where
| cdecl (index : Nat) (fvarId : FVarId) (u... |
be20b92216460beafcada4afab96c5a249e91287 | 1b8f093752ba748c5ca0083afef2959aaa7dace5 | /src/category_theory/equivalence/default.lean | 176dcda2b1d567261adfc51d474ba6bbec3c4599 | [] | 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 | 6,482 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Tim Baumann, Stephen Morgan, Scott Morrison
import category_theory.embedding
import category_theory.tactics.obviously
import category_theory.follow_your_nose
namespace category... |
c066f94f13f523d66cfbd2687885ff7a67c431dc | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/equiv/transfer_instance.lean | e7808c3644b3f47314660fa46c4f1e82d950f8fe | [
"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 | 12,575 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.equiv.basic
import algebra.field
import algebra.module
import algebra.algebra.basic
import algebra.group.type_tags
import ring_theory.ideal.basic
/-!
# T... |
44034637a0b90dcb22c2d14ecbb2e961febe7e4b | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /tests/lean/run/smt_rsimp.lean | 43794ddaefc62cb659c2807466209273319fac2c | [
"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 | 412 | lean | constant p {α} : α → α → Prop
axiom pax {α} : ∀ n : α, p n n
open tactic
meta def check_expr (p : pexpr) (t : expr) : tactic unit :=
do e ← to_expr p, guard (t = e)
meta def check_target (p : pexpr) : tactic unit :=
target >>= check_expr p
example (s t : list nat) (h : t = s) : p (s ++ []) ([] ++ t) :=
begin [smt]
... |
39bb995d4e7a87911671d92c2a689b55deb5c677 | 680b0d1592ce164979dab866b232f6fa743f2cc8 | /hott/types/equiv.hlean | c9ca55f39461f8321c29da4d3e62c441cf8a608f | [
"Apache-2.0"
] | permissive | syohex/lean | 657428ab520f8277fc18cf04bea2ad200dbae782 | 081ad1212b686780f3ff8a6d0e5f8a1d29a7d8bc | refs/heads/master | 1,611,274,838,635 | 1,452,668,188,000 | 1,452,668,188,000 | 49,562,028 | 0 | 0 | null | 1,452,675,604,000 | 1,452,675,602,000 | null | UTF-8 | Lean | false | false | 7,541 | 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... |
6418378dc615cdd220cad6878f924326e8eb84b9 | 7565ffb53cc64430691ce89265da0f944ee43051 | /hott/homotopy/homotopy_group.hlean | 3c56158d2e572e82de9cd3800ac1f3d710f4812f | [
"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 | 12,535 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Clive Newstead
-/
import .LES_of_homotopy_groups .sphere .complex_hopf
open eq is_trunc trunc_index pointed algebra trunc nat is_conn fiber pointed unit group
n... |
2c872e0b3b99e34ff3ef12017af4ab4a0f66fea5 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /08_Building_Theories_and_Proofs.org.19.lean | ae14473f2e7f58991989868f4a578cddb547ab79 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 190 | lean | import standard
set_option pp.implicit true
set_option pp.universes true
set_option pp.notation false
set_option pp.coercions true
set_option pp.numerals false
set_option pp.full_names true
|
9169715258087f77f3524367a80fd02c4a4e4321 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/bor_lazy.lean | d3350a6f8a9ee54356075ff3e7458d31b3591c48 | [
"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 | 84 | lean | open bool
vm_eval (timeit "branch1:" (λ x, tt)) || (timeit "branch2:" (λ x, tt))
|
c10dc94c3e2e609c42bb5711a14f47dd008300d5 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/measure_theory/lp_space.lean | 6c709420a4f52ae21ac56616cab7a94ba7f0050b | [
"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 | 71,221 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Sébastien Gouëzel
-/
import measure_theory.ess_sup
import measure_theory.ae_eq_fun
import analysis.mean_inequalities
/-!
# ℒp space and Lp space
This file describes prope... |
614adc01617360b3783f053c9c599a3f79ba2a57 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/polynomial/ring_division.lean | 8943000d89706c0d34de513d616f946382877587 | [
"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 | 30,240 | 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, Johan Commelin
-/
import data.polynomial.algebra_map
import data.polynomial.degree.lemmas
import data.polynomial.div
/-!
# ... |
0a4bc5688e6486be95c1419ea5d0d70e473bfb78 | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /src/08_Bi_implication/01_exercise_chain.lean | b5a4e077918eca76d32cfb3b4433a149015f0521 | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 5,196 | lean | /-
Warmup: Function composition.
-/
/-
If we know that P implies Q and that Q
implies R, we can conclude that P → R.
The name, "hypothetical syllogism", or
"chain rule" is given to this reasoning
principle.
Here's an example.
Suppose P → Q express the idea that "if
it's raining then the streets are wet,
and Q → R,... |
7aae2b5278ab45997395bc4a7422de168de2cca4 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/ring_theory/free_comm_ring.lean | 5dba6dffeb0cf6518c8e3dc9e333e9bf99555e11 | [
"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 | 15,984 | 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... |
2cf06f953874bc0907996c13fcb1d72fcb1a2707 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/group/add_circle.lean | 67d2fc9588ddf1aa0fe8797405d04145f1636b2d | [
"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 | 5,458 | lean | /-
Copyright (c) 2022 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import measure_theory.integral.periodic
import data.zmod.quotient
/-!
# Measure-theoretic results about the additive circle
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> A... |
811b21e64e6570f0431bc06d02a3b2b2161c83d2 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/order/filter/lift.lean | 557a75fbebb8e89547c76cf470980954c82335d0 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 21,327 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.filter.bases
/-!
# Lift filters along filter and set functions
-/
open set
open_locale classical filter
namespace filter
variables {α : Type*} {β : T... |
e231bfc18512fe7d159c2b3743998ba023b3a73b | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/data/fin/basic.lean | 14abcaf67191a16eb87e15fb65e496594c587709 | [
"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 | 78,574 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Keeley Hoek
-/
import data.nat.cast
import data.int.basic
import tactic.localized
import tactic.apply_fun
import order.rel_iso
/-!
# The finite type with `n` element... |
f954606e1506f1684f0868877f2d925879476ed7 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/StxQuot.lean | 9051e32695e4265c0a981b57360beef95ffb395a | [
"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 | 4,125 | lean | import Lean
open Lean
open Lean.Elab
def run {α} [ToString α] : Unhygienic α → String := toString ∘ Unhygienic.run
#eval run `()
#eval run `(Nat.one)
#eval run `($Syntax.missing)
namespace Lean.Syntax
#eval run `($missing)
#eval run `($(missing))
#eval run `($(id Syntax.missing) + 1)
#eval run $ let id := Syntax.mis... |
3aa3e55c3736c59f9d8e70d99374145692872624 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /06_Inductive_Types.org.45.lean | 5b7a8de01700362f176c63c241aa10d5c30791b9 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 530 | lean | /- page 92 -/
import standard
namespace hide
inductive eq {A : Type} (a : A) : A → Prop :=
refl : eq a a
theorem subst {A : Type} {a b : A} {P : A → Prop}
(H₁ : eq a b) (H₂ : P a) : P b :=
eq.rec H₂ H₁
-- BEGIN
theorem symm {A : Type} {a b : A} (H : eq a b) : eq b a :=
subst H (eq.refl a)
theorem trans {A : Type} ... |
75acdd5d3317188a7e0ff1a12e33bc62a96a2a93 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/algebra/precategory/functor.hlean | 7413458bfbd522c1b886fd6ac89fe09c14d75a9a | [
"Apache-2.0"
] | permissive | chubbymaggie/lean | 0d06ae25f9dd396306fb02190e89422ea94afd7b | d2c7b5c31928c98f545b16420d37842c43b4ae9a | refs/heads/master | 1,611,313,622,901 | 1,430,266,839,000 | 1,430,267,083,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,596 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.precategory.functor
Authors: Floris van Doorn, Jakob von Raumer
-/
import .basic types.pi .iso
open function category eq prod equiv is_equiv sigma sigma.ops is_trunc funext... |
e84b9c71c12b5e630f0c1828ad2d900061069c28 | bb31430994044506fa42fd667e2d556327e18dfe | /src/ring_theory/ring_hom/surjective.lean | a2687a5774905350636dca2df630116991e7b9db | [
"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 | 2,476 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import ring_theory.local_properties
/-!
# The meta properties of surjective ring homomorphisms.
-/
namespace ring_hom
open_locale tensor_product
open tensor_product a... |
8ec14e9787bfad6067b8f3fb83a8eaf17dc4e596 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/algebra/floor_ring.lean | bf9f481ca3b0c9cf1345881d8efc95a811317ca3 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 9,346 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
Basic topological facts (limits and continuity) about `floor`,
`ceil` and `fract` in a `floor_ring`.
-/
import topology.algebra.ordered
import algebra.floor
open s... |
4e888e09f32ba9dcd16b7e72ff4531d9b8c80aaa | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/group_theory/perm/sign.lean | 5c916e06e984a47f6c0bafd88a4d49a1c5ca218e | [
"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 | 38,892 | 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 data.fintype.basic
import data.finset.sort
import algebra.group.conj
import algebra.big_operators.basic
universes u v
open equiv function fintype finset
open_loca... |
823858fe41fff2aaf8473092bd0ef3f0c9028ca1 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/set/intervals/basic.lean | 2db4ebb1c677c53370008e0f1faed894f9e24a89 | [
"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 | 57,798 | 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, Yury Kudryashov, Rémy Degenne
-/
import algebra.order.group
import order.rel_iso
/-!
# Intervals
In any preorder `α`, we define interv... |
d543d1e6e46cdea5679d5209e9fff473d861d958 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/graded_monoid.lean | 17cc1345ad14c889abedf2a8fcfecf91c42e196f | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,401 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.group.inj_surj
import algebra.group_power.basic
import data.set_like.basic
import data.sigma.basic
import group_theory.group_action.defs
/-!
# Additively-gr... |
60b2b767f832d5084b9248757affc76d98db64f9 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Linter/UnusedVariables.lean | cec35d72bdc94db782df85d4690f3b3cdad86901 | [
"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 | 10,303 | lean | import Lean.Elab.Command
import Lean.Linter.Util
import Lean.Elab.InfoTree
import Lean.Server.InfoUtils
import Lean.Server.References
import Std.Data.HashMap
namespace Lean.Linter
open Lean.Elab.Command Lean.Server Std
register_builtin_option linter.unusedVariables : Bool := {
defValue := true,
descr := "enable t... |
384b48793050abd632add146558dce53b3778158 | c86b74188c4b7a462728b1abd659ab4e5828dd61 | /stage0/src/Lean/Elab/Do.lean | e4c7a2a9f3f9a377d22db74d8f964c375c23c625 | [
"Apache-2.0"
] | permissive | cwb96/lean4 | 75e1f92f1ba98bbaa6b34da644b3dfab2ce7bf89 | b48831cda76e64f13dd1c0edde7ba5fb172ed57a | refs/heads/master | 1,686,347,881,407 | 1,624,483,842,000 | 1,624,483,842,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 69,700 | 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.Elab.Term
import Lean.Elab.Binders
import Lean.Elab.Match
import Lean.Elab.Quotation.Util
import Lean.Parser.Do
-- HACK: avoid code explosion u... |
b717d9b7c13a103a2fe63b6c8ecfb8845dceae85 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /data/quot.lean | 6d879f039b222d68575aa2690046a7eb086714a7 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 4,417 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Quotients -- extends the core library
-/
variables {α : Sort*} {β : Sort*}
@[simp] theorem quotient.eq [r : setoid α] {x y : α} : ⟦x⟧ = ⟦y⟧ ↔ x ≈ y :=
⟨quotient.exact,... |
cf8037d7bf4f6fcfdd30754361a4f8b02da014ac | 32317185abf7e7c963f4c67c190aec61af6b3628 | /library/theories/analysis/real_limit.lean | 9f7c9bf0c70bd3f607ed59da7e02a4af26577e37 | [
"Apache-2.0"
] | permissive | Andrew-Zipperer-unorganized/lean | 198a2317f21198cd8d26e7085e484b86277f17f7 | dcb35008e1474a0abebe632b1dced120e5f8c009 | refs/heads/master | 1,622,526,520,945 | 1,453,576,559,000 | 1,454,612,842,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 25,106 | 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
Instantiates the reals as a Banach space.
-/
import .metric_space data.real.complete data.set .normed_space
open real classical analysis nat
noncomputabl... |
d336de320d073326351534cbcb919db3b03bc7a8 | 439bc6c3e74a118aa51df633b8e1f24415804d86 | /psh_as_func.lean | 90a5bd65387b8663b95c1b58673da89f495ceef7 | [] | no_license | jcommelin/lt2019_slides | 4ca498db02b5187c5778c21b985126d52d260696 | 3234cd92920d3d4321cc2cef78b48e5fa55be413 | refs/heads/master | 1,586,718,101,957 | 1,546,930,855,000 | 1,546,930,855,000 | 162,697,592 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 50 | lean | def presheaf (X : Top) := opens(X)ᵒᵖ ⥤ Type
|
c9e98561f80804fa4c79dea55a694f9ba3b48e8f | 46125763b4dbf50619e8846a1371029346f4c3db | /src/geometry/manifold/smooth_manifold_with_corners.lean | 1879e9e87456790feb96ede212a6112d3f9a051e | [
"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 | 25,415 | 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 analysis.calculus.times_cont_diff geometry.manifold.manifold
/-!
# Smooth manifolds (possibly with boundary or corners)
A smooth manifold is a manifol... |
8faec14a48cc5771847537ff6dbdae6f7cea6413 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/typeclass_append.lean | 0cf95002d88ba24f620eea778f394e146acba34c | [
"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 | 814 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
Performance test to ensure quadratic blowup is avoided.
-/
class AppendList {α : Type} (xs₁ xs₂ : List α) (out : outParam $ List α) : Type :=
(u : Unit := ())
... |
6773465b354f4cc2a58f98e66d3d8e6e78e10315 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/theories/number_theory/bezout.lean | a313696322ca7b04fcf6440dd4675ec407ec97ba | [
"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 | 3,903 | lean | /-
Copyright (c) 2015 William Peterson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: William Peterson, Jeremy Avigad
Extended gcd, Bezout's theorem, chinese remainder theorem.
-/
import data.nat.div data.int .primes
/- Bezout's theorem -/
section Bezout
open nat ... |
b03169f768dcc942cf0586b3413535d09adf4d6d | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/field_theory/perfect_closure.lean | b69c055f3e72b3d5f8e87f005e158a44fb20958b | [
"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 | 17,187 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau
The perfect closure of a field.
-/
import algebra.char_p
universes u v
/-- A perfect field is a field of characteristic p that has p-th root. -/
class perfect_field (α : Type u... |
566bdaea81ad1e99a5b903063eaccfcdde9b3b99 | f083c4ed5d443659f3ed9b43b1ca5bb037ddeb58 | /algebra/field_power.lean | d6f640a5b88e5f62211f9281d23549cc4483019b | [
"Apache-2.0"
] | permissive | semorrison/mathlib | 1be6f11086e0d24180fec4b9696d3ec58b439d10 | 20b4143976dad48e664c4847b75a85237dca0a89 | refs/heads/master | 1,583,799,212,170 | 1,535,634,130,000 | 1,535,730,505,000 | 129,076,205 | 0 | 0 | Apache-2.0 | 1,551,697,998,000 | 1,523,442,265,000 | Lean | UTF-8 | Lean | false | false | 3,313 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
Integer power operation on fields.
-/
import algebra.group_power tactic.wlog
universe u
section field_power
open int nat
variables {α : Type u} [division_ring α]
... |
18c01638fb47db523229690ade2ff1ece98b92a2 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/compact_open.lean | 566c6ddcc13a20b3bd5d293fc690144399504529 | [
"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 | 14,685 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import tactic.tidy
import topology.continuous_function.basic
import topology.homeomorph
import topology.subset_properties
/-!
# The compact-open topology
In this file, we... |
fb1c1695eb1981bb970500b47f0353f402449d59 | 737dc4b96c97368cb66b925eeea3ab633ec3d702 | /stage0/src/Lean/Environment.lean | 6653f9a48388c0726320a17c58dcbfecb04794b8 | [
"Apache-2.0"
] | permissive | Bioye97/lean4 | 1ace34638efd9913dc5991443777b01a08983289 | bc3900cbb9adda83eed7e6affeaade7cfd07716d | refs/heads/master | 1,690,589,820,211 | 1,631,051,000,000 | 1,631,067,598,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,277 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Std.Data.HashMap
import Lean.ImportingFlag
import Lean.Data.SMap
import Lean.Declaration
import Lean.LocalContext
import Lean.Util.Path
import Lean.U... |
4de0287555c32bb7416f8db25390188ed0905a0c | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/order/lattice.lean | 380a83bf5a967083da96158d9705a014d1c0f27d | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 26,891 | 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 order.rel_classes
import tactic.simps
/-!
# (Semi-)lattices
Semilattices are partially ordered sets with join (greatest lower bound, or `sup`) or
meet (least... |
9b05a5d8f6db203dd5595e2287d8e77d493263fb | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/assignments/assignment_2/assignment_2_help.lean | c7b70616599b7536973e77d2a54c441bca4b3d20 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 739 | lean | inductive ST : Type
| empty
| salmon (e : ST)
| trout (e: ST)
open ST
def e1 := ST.empty
def e2 := ST.salmon ST.empty
def e3 := salmon
(trout
(trout
e1
)
)
/-salmon
empty
salmon
trout
trout
empty
-/
def fishEvalHelper : ST → prod nat... |
1979913c74864edf6aefc584dd33ec424e3a5166 | 367134ba5a65885e863bdc4507601606690974c1 | /src/order/filter/germ.lean | 48169a5137bedbc5cf99343a8508e248cd53ae2d | [
"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 | 21,662 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov, Abhimanyu Pallavi Sudhir
-/
import order.filter.basic
import algebra.module.pi
/-!
# Germ of a function at a filter
The germ of a function `f : α → β` at a fi... |
4cb9b47c2c924128ea3f411bc8c503b0b4e00499 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/liouville/liouville_with.lean | f202e4554a99c97c20c56a0ff9f69f15b51774f8 | [
"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 | 14,930 | 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 analysis.special_functions.pow.asymptotics
import number_theory.liouville.basic
import topology.instances.irrational
/-!
# Liouville numbers with a gi... |
427848fb415bdfd576465df1277ecfaced01367d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/number_theory/bernoulli_polynomials.lean | 3e7801f402ce0695f2e02e25f409cc1905700f76 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 9,972 | lean | /-
Copyright (c) 2021 Ashvni Narayanan. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ashvni Narayanan, David Loeffler
-/
import data.polynomial.algebra_map
import data.polynomial.derivative
import data.nat.choose.cast
import number_theory.bernoulli
/-!
# Bernoulli p... |
472924306b5166f7eacb24857ad3367a8d4bc3e3 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/mk_inhabited_instance_auto.lean | da1a8166a07d62d2f1ad838707439edf1fec9be8 | [] | 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 | 632 | 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
Helper tactic for showing that a type is inhabited.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.interactive_base
import Mathlib.Lean3Lib.init.... |
cb13eb64f1b0a5055fd7cb7156855349474aacd8 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/hit/trunc.hlean | f5730c1101c54b23fd28a654beb3a3e100be97c8 | [
"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 | 5,678 | 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
n-truncation of types.
Ported from Coq HoTT
-/
/- The hit n-truncation is primitive, declared in init.hit. -/
import types.sigma types.pointed
open is_trunc eq ... |
d5e4acc45eee56dba55bfee296aa82b4714223bb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/witt_vector/truncated.lean | 28a88b8f8070b24b5f70ec2dae137e819889e8fd | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 15,803 | 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.init_tail
/-!
# Truncated Witt vectors
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file requi... |
244c4463cc390f6fb7d7d27c348415aa41dad43b | 1dd482be3f611941db7801003235dc84147ec60a | /src/ring_theory/polynomial.lean | f59d0f4fcddc2b6e3b0bdd8894b4d7a2799fce20 | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 9,143 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Hilbert basis theorem: if a ring is noetherian then so is its polynomial ring.
-/
import linear_algebra.multivariate_polynomial
import data.polynomial
import ring_theory.princip... |
5e0696d8c82299ce51eae100991f30891c0f0d57 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/deprecated/subfield.lean | e6029b971b9a0e242dc6ee1195889dc25c990ce7 | [
"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 | 6,158 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import deprecated.subring
import algebra.group_with_zero.power
/-!
# Unbundled subfields (deprecated)
This file is deprecated, and is no longer imported by anyt... |
023ed16cc8232db463dfa0b1c86d0cc88b5d3546 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/polynomial/cyclotomic/roots.lean | 41e73830f5ffc9d853f89f3ddc83f043e4a6e735 | [
"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 | 10,542 | lean | /-
Copyright (c) 2020 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import ring_theory.polynomial.cyclotomic.basic
import ring_theory.roots_of_unity.minpoly
/-!
# Roots of cyclotomic polynomials.
> THIS FILE IS SYNCHRONIZED WITH ... |
a8fea3d22b21cee61874130b7f43f5188b03b6b5 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/control/alternative.lean | 9847396fd26fae1b09ec8d8b329a84ecd11d9b5b | [
"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 | 1,348 | 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.logic init.control.applicative
universes u v
class has_orelse (f : Type u → Type v) : Type (max (u+1) v) :=
(orelse : Π {α : Type u}, f... |
4aa584346924c95ddf450f0820efb973965cc1f0 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/linear_algebra/finsupp.lean | 6bcfe09e38ec4a671f64835dffe50a9d7efb6b47 | [
"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 | 17,023 | 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 `α →₀ M`.
-/
import data.monoid_algebra
noncomputable theory
open set linear_map submodule
open_locale classical
na... |
a100a31c5014f6c9c61c462c0c05eadd42788689 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/tactic/tidy.lean | e1c5f505f64d3abaf35cb0f770ec764d5a687205 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,367 | 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 tactic.auto_cases
import tactic.chain
import tactic.norm_cast
namespace tactic
namespace tidy
/-- Tag interactive tactics (locally) with `[tidy]` to add them... |
7554ec632ad1a5a31189334d836f63be6497dd9f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/affine.lean | 547ef38792c526213675f03da44a89884028447c | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,498 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.algebra.continuous_functions
import Mathlib.linear_algebra.affine_space.affine_m... |
87a7ac1fd2ea44b5b477bbdbc04b0f1eaef1c18a | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/measure/ae_measurable.lean | 23d39122c84a1ef224770cbc0fce96dd73de5917 | [
"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 | 15,104 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import measure_theory.measure.measure_space
/-!
# Almost everywhere measurable functions
A function is almost everywhere measurable if it coincides almost eve... |
a4136dd9f34104a92270fad94da9a2f8b2bbc768 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/idempotents/biproducts.lean | 88c8757c3259c95e847febec138e0b9621c629e4 | [
"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 | 6,016 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import category_theory.idempotents.karoubi
/-!
# Biproducts in the idempotent completion of a preadditive category
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes ... |
9168329b0e74828a404ef2b2a3c55a0a3b216b64 | 6d50885e7b3f72447a03f21d5268d6af87c0a404 | /instructor-notes/2019.10.14.prop_logic/myreverse.lean | 871d514acac20666611d0e05b769cf9ba5f8dde8 | [] | no_license | kevinsullivan/uva-cs-dm-s20-old | 583c756cded281fcee7f1afc42cb3e08f89c2493 | 797672cb0ffae6a42a3518c9225d5807191fd113 | refs/heads/master | 1,607,500,914,982 | 1,578,752,991,000 | 1,578,752,991,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 290 | lean | def app {α : Type} : list α → list α → list α
| list.nil l := l
| (list.cons h t) l := list.cons h (app t l)
def rev {α : Type} : list α → list α
| list.nil := list.nil
| (list.cons h t) := app (rev t) (list.cons h list.nil)
--list.cons (rev t) h
#reduce rev [1,2,3,4,5,6]
|
7081d7d50ddaa23496152135d945b5e0b2f5b194 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/topology/algebra/module.lean | 32c01063d79c3e6979558a1f84e665df8a83c130 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 13,917 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo
-/
import topology.algebra.ring linear_algebra.basic ring_theory.algebra
/-!
# Theory of topological modules and continuous linear m... |
df23d68bc1c0b5c871467e693860b82002cbd565 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/periodic.lean | 987bef4bdd16bcf6c1cd67da481e4d65ab7f518f | [
"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 | 18,169 | 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 algebra.field.opposite
import algebra.module.basic
import algebra.order.archimedean
import data.int.parity
import group_theory.coset
/-!
# Periodicity
... |
81c618073afedfa0a0497875a5d87912ecdee9e8 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Lean/Parser/Transform.lean | ac076594741643d543d8c6f0dcaf60ef7a285ffc | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,686 | 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.Basic
namespace Lean
namespace Syntax
def manyToSepBy (stx : Syntax) (sepTk : String) : Syntax := do
match stx wit... |
910ab14ad4f68f44cd2cd3d79acc9b966757ddb1 | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170310-extracting-lemmas.lean | 14cf537f00872e093fe963b3e4e7d57900914f45 | [
"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 | 3,892 | lean | open tactic
open smt_tactic
meta def blast : tactic unit := using_smt $ intros >> try simp >> try eblast
notation `♮` := by abstract { blast }
universe variables u v
structure Category :=
(Obj : Type u)
(Hom : Obj → Obj → Type v)
(identity : Π X : Obj, Hom X X)
(compose : Π { X Y Z : Obj }, Hom X Y → Hom ... |
3456203ea7889047a1442431087e0380e35fbd65 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /kb_solns/sets_level06.lean | 9ad4045db461d5b798f887d9f998364e8cda8683 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,235 | lean | import game.sets.sets_level05 -- hide
import tactic -- hide
namespace xena -- hide
variable X : Type
/-
# Chapter 1 : Sets
## Level 6
-/
/-
See if you can prove the identity below using the `ext` tactic.
Applying `ext,` with no arguments will apply as many *extensionality* lemmas
as Lean can find. The following ... |
89a3fc5613f2b9cdb529bcd6f0d2ebd95bf21351 | abd677583c7e4d55daf9487b82da11b7c5498d8d | /src/fol.lean | ade9390c9296f6e70396d72f091c8d9300079351 | [
"Apache-2.0"
] | permissive | jesse-michael-han/embed | e9c346918ad58e03933bdaa057a571c0cc4a7641 | c2fc188328e871e18e0dcb8258c6d0462c70a8c9 | refs/heads/master | 1,584,677,705,005 | 1,528,451,877,000 | 1,528,451,877,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,390 | lean | import .prop
namespace fol
variable {α : Type}
class is_symb (α : Type) extends prop.is_symb α :=
(fa : α) (ex : α)
inductive symb : Type
| fn : string → symb
| prd : string → symb
| true : symb
| false : symb
| not : symb
| and : symb
| or : symb
| imp : symb
| fa : symb
| ex : symb
instance : decidable_eq ... |
b148bc688e6fe51753b1729e0122c29e9f46bd3c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/fintype/sigma.lean | 17ca0c138b29750e6a50241aed5de84a4b916830 | [
"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 | 867 | 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.fintype.basic
import data.finset.sigma
/-!
# fintype instances for sigma types
-/
open function
open_locale nat
universes u v
variables {α β γ : Type... |
86fa8324dce5ef8f4908344fe8cdaf8b4ae4abad | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_2016.lean | 7afb204c4662517e0b967634030fa3a0a17ce1b6 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 247 | lean | import tactic
-- BEGIN
example {m n k : ℕ} (h : m ∣ n ∨ m ∣ k) : m ∣ n * k :=
begin
rcases h with ⟨a, rfl⟩ | ⟨b, rfl⟩,
{ rw [mul_assoc],
apply dvd_mul_right },
rw [mul_comm, mul_assoc],
apply dvd_mul_right
end
-- END |
a490468ee4af5d9f4690722b53e6ff0fab953c38 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/measure_theory/prod_group.lean | 7f553a4158b93317765e6a670977cca600f633d1 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 11,092 | lean | /-
Copyright (c) 2021 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.prod
import measure_theory.group
/-!
# Measure theory in the product of groups
In this file we show properties about measure theory in pro... |
727b9a8049c0caf874a190262646480b5b5adbaf | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/set/lattice.lean | 28812007955e520394a143b7b3318f2d82c7230c | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 45,254 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-- QUESTION: can make the first argument in ∀ x ∈ a, ... implicit?
-/
import order.complete_boolean_algebra
import data... |
5b335a351d7316e40aca0ab1600d54167401c7cf | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/measure/null_measurable.lean | 5fac6e285d8ab8e1fc5fb8efe1d003e062e359ba | [
"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 | 19,221 | 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, Yury Kudryashov
-/
import measure_theory.measure.ae_disjoint
/-!
# Null measurable sets and complete measures
## Main definitions
### Null measurable... |
83a233e792126d32ebaf70c614a0307865cf35c9 | a11f4536efad51bc2b648123619720f3b9318c0f | /src/not_not_not.lean | 03b1c0f0ffb9924b11d2713080c969635ea61949 | [] | no_license | ezrasitorus/codewars_lean | 909471d43f5130669a90b8e11afc37aec2f21d8f | 6d1abcc1253403511f4cfd767c645596175e4fd3 | refs/heads/master | 1,672,659,589,352 | 1,603,281,507,000 | 1,603,281,507,000 | 288,579,451 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 163 | lean | theorem not_not_not (P : Prop) :
¬ ¬ ¬ P → ¬ P :=
λ h p, h $ not_not_intro p
theorem not_not_not' (P : Prop) :
¬ P → ¬ ¬ ¬ P :=
λ x y, y x |
919bc5b5224c708b433f82e2ac049efecd250721 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /tests/lean/run/tick_id.lean | 5443e46a226120fb7a4d5c963a6aa1c923713385 | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 237 | lean | def id₁ {'a : Type} (x : 'a) : 'a := x
def id₂ {α : Type} (a : α) : α := a
def id₃ {β : Type} (b : β) : β := b
#check λ (α β : Type) (f : α → β) (a : α), f a
#check λ ('a 'b : Type) (f : 'a → 'b) (a : 'a), f a
|
871447ba2bb40413caac255b77c3d3f43a59e9d3 | cf39355caa609c0f33405126beee2739aa3cb77e | /tmp/mini_crush.lean | e2c0fdd3a16b22642bb7d909bb8cb99fb110d4b4 | [
"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 | 12,913 | lean | declare_trace mini_crush
namespace mini_crush
open smt_tactic tactic
/- Collect relevant functions -/
meta def is_auto_construction : name → bool
| (name.mk_string "brec_on" p) := tt
| (name.mk_string "cases_on" p) := tt
| (name.mk_string "rec_on" p) := tt
| (name.mk_string "no_confusion" p) := tt
| (n... |
462201f5046c593b69114653ab2fad74ca0c7368 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/match1.lean | ad67f5d62632429c13b226447c61dfdfcb76f123 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,103 | lean | new_frontend
def f (xs : List Nat) : List Bool :=
xs.map fun
| 0 => true
| _ => false
#eval f [1, 2, 0, 2]
theorem ex1 : f [1, 0, 2] = [false, true, false] :=
rfl
#check f
def g (xs : List Nat) : List Bool :=
xs.map $ by {
intro
| 0 => exact true
| _ => exact false
}
theorem ex2 : g [1, 0, 2] = [fal... |
1434ab873e19a9327ec9ea2a2e14e73cd02110e7 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/data/set/Union_lift.lean | 80b88373cbbede0c806cfcc5279f84dc341167db | [
"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 | 7,117 | 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 data.set.lattice
import order.directed
/-!
# Union lift
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathli... |
ba3c4a966bc5753433c6b97324c0eeee86cae265 | 8e381650eb2c1c5361be64ff97e47d956bf2ab9f | /src/Kenny/projective_line.lean | e07eced3cbc1424b2c4a527352c1d9ee8e5daba0 | [] | no_license | alreadydone/lean-scheme | 04c51ab08eca7ccf6c21344d45d202780fa667af | 52d7624f57415eea27ed4dfa916cd94189221a1c | refs/heads/master | 1,599,418,221,423 | 1,562,248,559,000 | 1,562,248,559,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 19,824 | lean | import Kenny.sheaf_of_rings_on_opens instances.affine_scheme data.polynomial
universes u v w
open topological_space
namespace localization
variables {R : Type u} [comm_ring R]
theorem away.inv_self_mul_of (x : R) :
away.inv_self x * of x = 1 :=
show mk (1 * x) (⟨x, _⟩ * 1) = 1,
by rw [one_mul, mul_one, mk_self]
... |
a45089409aaf016deff9ea0d8a54bcab626e0cdd | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/run/n1.lean | 7ec581b0ebf4bce30aa0091869d417bb38f26ba2 | [
"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 | 843 | lean | constant A : Type.{1}
constant a : A
constant g : A → A
constant f : A → A → A
(*
local f = Const("f")
local g = Const("g")
local comma = name(",")
function parse_pair()
local p1 = parser.parse_expr()
parser.check_token_next(comma, "invalid pair, ',' expected")
print("line: " .. tostring(parser.pos()))
... |
d20642c6ea4425ee1a8bf945c92d1dda97b2ba55 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/modular_lattice.lean | 278327a0625cfb74908d1c4df7b9d6ed4751a0c9 | [
"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 | 14,784 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Yaël Dillies
-/
import order.cover
import order.lattice_intervals
/-!
# Modular Lattices
This file defines (semi)modular lattices, a kind of lattice useful in algebra... |
c7c271c2560747790d0abb799f79d92ec41381cb | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/field_theory/ratfunc.lean | a7966a588eebc2b1b5c871a0065b39a58bb3f5cf | [
"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 | 59,856 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.euclidean_domain
import ring_theory.laurent_series
import ring_theory.localization.fraction_ring
import ring_theory.polynomial.content
/-!
# The field ... |
c7d123b09f1f83777ae0ae4186d4d2dc45d625e1 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/tactic/find.lean | f4f4b5119ada1328e0412175753feca248d469c8 | [
"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 | 2,484 | lean | /-
Copyright (c) 2017 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import tactic.core
open expr
open interactive
open lean.parser
open tactic
private meta def match_subexpr (p : pattern) : expr → tactic (list expr)
| e := pro... |
ff90718f472a1a027cf5e9afbcc7d4f31b9ad5ec | 37aad7bb98943e11b08c81f7d485a6fc6af1bc08 | /src/dev.lean | 267616b369908fbd7bb4a57609f9341dc23905e4 | [] | no_license | tomhoule/migrate-dev-lean | 6f5aae79a4420c960a51b126052bdd199f2e3445 | 910b62d1bea1d4534560e449ed82aa59100e2e75 | refs/heads/main | 1,675,289,840,202 | 1,608,732,095,000 | 1,608,732,095,000 | 322,549,132 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,297 | lean | import data.option.basic
/-!
# Model of the Prisma migration engine `devDiagnostic` command
The `devDiagnostic` RPC command acts as a wrapper around `diagnoseMigrationHistory`. Its
role is to interpret the diagnostic output, and translate it to a concrete
action to be performed by the CLI.
The corresponding control... |
34f7e1f93677dc6267eb72595f0bbdd39483b6bb | 302b541ac2e998a523ae04da7673fd0932ded126 | /tests/bench/const_folding.lean | 956be8ae2a847ae979f3480ae4fa0eb43669a226 | [] | no_license | mattweingarten/lambdapure | 4aeff69e8e3b8e78ea3c0a2b9b61770ef5a689b1 | f920a4ad78e6b1e3651f30bf8445c9105dfa03a8 | refs/heads/master | 1,680,665,168,790 | 1,618,420,180,000 | 1,618,420,180,000 | 310,816,264 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 180 | lean | set_option trace.compiler.ir.init true
inductive Expr
| Var : Nat → Expr
| Val : Nat → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
open Expr Nat
|
273a7a14263edada24b432b9dc1600a1ccdee676 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/field_theory/adjoin.lean | 650537e0402a8b116cd320edf78111ab64857fed | [
"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 | 33,305 | lean | /-
Copyright (c) 2020 Thomas Browning, Patrick Lutz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning, Patrick Lutz
-/
import field_theory.intermediate_field
import field_theory.splitting_field
import field_theory.separable
import ring_theory.adjoin_root... |
d4d9b2e4c84820ce5e16f4213ee350f19fa219ec | 90edd5cdcf93124fe15627f7304069fdce3442dd | /src/Lean/Aesop/RuleBuilder.lean | 201f2621726fddad67663fb51cd86023bd06ca00 | [
"Apache-2.0"
] | permissive | JLimperg/lean4-aesop | 8a9d9cd3ee484a8e67fda2dd9822d76708098712 | 5c4b9a3e05c32f69a4357c3047c274f4b94f9c71 | refs/heads/master | 1,689,415,944,104 | 1,627,383,284,000 | 1,627,383,284,000 | 377,536,770 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,747 | lean | /-
Copyright (c) 2021 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import Lean.Aesop.Rule
import Lean.Aesop.RuleTac
open Lean.Meta
namespace Lean.Aesop
structure RegularRuleBuilderResult where
builderName : Name
tac : RuleTac... |
5d9753610bd03b88077a53f33532079df2c7dc48 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /stage0/src/Init/Data/Array/Basic.lean | 0aa19fa240a87247010ffec41fb5ebe918586170 | [
"Apache-2.0"
] | permissive | jcommelin/lean4 | c02dec0cc32c4bccab009285475f265f17d73228 | 2909313475588cc20ac0436e55548a4502050d0a | refs/heads/master | 1,674,129,550,893 | 1,606,415,348,000 | 1,606,415,348,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,936 | lean | /-
Copyright (c) 2018 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.Nat.Basic
import Init.Data.Fin.Basic
import Init.Data.UInt
import Init.Data.Repr
import Init.Data.ToString.Basic
import Init.Util
u... |
90e87977496e7b77949fd50bbe33bbb88586cb4f | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/limits/shapes/strict_initial.lean | 8e78962313e962bb2ced535bc6b5e9b026894b46 | [
"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 | 8,303 | lean | /-
Copyright (c) 2021 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.terminal
import category_theory.limits.shapes.binary_products
import category_theory.epi_mono
/-!
# Strict initial objects
This fi... |
c2fe9200a394920a2098573f23439f3b3fd9d777 | 12ba6fe891179eac82e287c24c8812a046221563 | /src/to_mathlib.lean | 8acbdc859d37e9139baba74b33c817943f68ca8a | [] | no_license | b-mehta/combinatorics | eca586b4cb7b5e1fd22ec3288f5a2cb4ed6ce4dd | 2a8b30709d35f124f3fc9baa5652d231389e9f63 | refs/heads/master | 1,653,708,057,336 | 1,626,885,184,000 | 1,626,885,184,000 | 228,850,404 | 19 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,076 | lean | /-
A collection of useful lemmas that might be useful in mathlib, approximately sorted by where they belong
-/
import data.finset
import algebra.big_operators
import tactic
open finset
section finset
variables {α : Type*} [decidable_eq α]
-- lemma sdiff_inter_inter (A B : finset α) : disjoint (A \ B) (A ∩ B) :=... |
7c6a9066c7062c7800bbec5411162af1eb8a0af2 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/analysis/convex/basic.lean | eef7c1989cbcadd07821120e0e8a399f5af89e7b | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 69,074 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov
-/
import data.complex.module
import data.set.intervals.image_preimage
import linear_algebra.affine_space.affine_map
import order.closure
/-!
#... |
22f35edfa049bc27b3c22a65ed4a8efa515d1c29 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/meta/contradiction_tactic.lean | cb4c422f149011f128d0d27876947e8cf2fb2533 | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 2,741 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.function
namespace tactic
open expr tactic decidable environment
private meta def contra_p_not_p : list expr → list ... |
8aaaf69e3cb96f30aec89e2abe7c02cd51b9c58c | 2731214ea32f2a1a985300e281fb3117640a16c3 | /portmanteau_open_equiv_closed.lean | d89536bd5ff359157bc0681ac6a91a8b03a8cca3 | [
"Apache-2.0"
] | permissive | kkytola/lean_portmanteau | 5d6a156db959974ebc4f5bed9118a7a2438a33fa | ac55eb4e24be43032cbc082e2b68d8fb8bd63f22 | refs/heads/main | 1,686,107,117,334 | 1,625,177,052,000 | 1,625,177,052,000 | 381,514,032 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,330 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import portmanteau_definitions
import portmanteau_topological_lemmas
import portmanteau_proba_lemmas
noncomputable theory
open measure_theory
open filter
namespace ... |
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