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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
742361a87c86aad18d6bdb639658562b81f4d6bd | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/791.lean | d29879df6b63d66a1b913e46c4c8b41763ecdd78 | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 153 | lean | definition foo.bar := 10
definition boo.bla.foo := 20
open foo
open boo.bla
eval bar
eval foo
constant x.y.z : nat
open x
check y.z
open x.y
check z
|
d39c3dc5115e908aebd07de3a53138b61d3aea0c | 0bebf71b69ba876e3ff052251728b46e79d4f55b | /differential_geometry_in_hott/lean/manifold.lean | 04d4c5c056baf48a9d4b35f0a8a1cc8039677995 | [] | no_license | glangmead/writing | 448f4b3880d5478bc0a511c8d7038ab1cd95e0a6 | 296aa7ebc5c880fe1e1b7a594be67113d8cba677 | refs/heads/master | 1,688,939,782,411 | 1,687,865,154,000 | 1,687,865,154,000 | 212,832,461 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,298 | lean | import geometry.manifold.real_instances
import data.set.basic
noncomputable theory
/--
Smooth functions from R^n to R form a commutative algebra over R (pointwise addition, multiplication etc.)
Same for functions from a manifold.
Evaluation-at-x is an algebra morphism from smooth functions over R to R.
Any such algeb... |
ff1e7d39c8285bd8ad196b1e2cc4d867ba7b2ee3 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/category/Top/open_nhds.lean | 77ecba2f53580e20228592db88167c575a5f7c35 | [
"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 | 3,463 | 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 topology.category.Top.opens
import category_theory.filtered
open category_theory
open topological_space
open opposite
universe u
variables {X Y : Top.{u}} (... |
6421624de1529b7feb9f4b313f4f67837007186e | 5178376877966e906d8301a3169ebc83b8185ddb | /src/verifyopt.lean | b2d5d533a2361f9bbe6bc2a452381a303d633f18 | [
"LicenseRef-scancode-generic-cla",
"MIT"
] | permissive | aqjune/AliveInLean | 8c436f1897774df37c532e6790c7e503712a7f00 | 7e92791c8bc316ef391c15a9e31dbd2355b6a4d4 | refs/heads/master | 1,584,465,770,747 | 1,549,480,763,000 | 1,549,480,763,000 | 133,785,889 | 0 | 0 | null | 1,526,547,050,000 | 1,526,547,049,000 | null | UTF-8 | Lean | false | false | 1,804 | lean | -- Copyright (c) Microsoft Corporation. All rights reserved.
-- Licensed under the MIT license.
import .ops
import .lang
import .irsem
namespace opt
section
open irsem
parameter (sem : irsem)
-- uint_like types
variable [ihc:has_comp sem.intty sem.boolty]
variable [ioc:has_overflow_check sem.intty sem.boolty]
vari... |
693a002b2d07cad58d6bb19ec39e8376de57b0bc | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/data/complex/exponential.lean | e9e12fdafa0d88850d6cf5ba453eeb2e190f28c7 | [
"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 | 50,993 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir
-/
import algebra.geom_sum
import data.nat.choose
import data.complex.basic
/-!
# Exponential, trigonometric and hyperbolic trigonometric functions... |
616f3e44c447e927ad870fec55559e0575d740eb | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/MiddleCommute.lean | 8a70cbe40c51b2eef4d7a0313260fcf25839133b | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,024 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section MiddleCommute
structure MiddleCommute (A : Type) : Type :=
(op : (A → (A → A)))
(middleCommute_times : (∀ {x y z : A} , (op (op (op x y) z) x) = (op (op (op x z... |
0a9cc697d5d09f49ba8c738ca8e9fd290fcfef62 | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Util/PPExt.lean | 1a59548073015dac788eaf48f19dea74c8190caa | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,829 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import Lean.Environment
import Lean.MetavarContext
import Lean.Data.OpenDecl
namespace Lean
builtin_initialize
registerOption `syntaxMaxDepth { defValue ... |
67bb5c0b676649ef04de228300985002dc08b031 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/shapes/regular_mono.lean | aebe52044659d8cee6dfdcfa83144e6bded862fa | [
"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 | 11,168 | lean | /-
Copyright (c) 2020 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.limits.shapes.pullbacks
import category_theory.limits.shapes.strong_epi
import category_theory.limits.shapes.equalizers
/-!
# De... |
e0946f220088df5d42ba6b5bb2f2103e655d6279 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/hom/non_unital_alg.lean | a5443eb570e6b95340732424fe8e8a7cd1955ca3 | [
"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 | 12,540 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.algebra.hom
/-!
# Morphisms of non-unital algebras
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to math... |
d130c781db240355f9497a32156c21c5c03b4c3f | 122543640bfbfedbcee1318bfdbd466ead2716a7 | /src/p4.lean | 7426363c8c95544d56e5859934af345b7246438c | [] | no_license | jsm28/bmo2-2020-lean | f038489093312c97b9cae3cdb9410b2683ccb11f | ff87ce51ed080d462e63c5549d5f2b377ad83204 | refs/heads/master | 1,692,783,059,184 | 1,689,807,657,000 | 1,689,807,657,000 | 239,362,030 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,211 | lean | -- BMO2 2020 problem 4.
-- Choices made for formalization: we index the sequence starting at 0
-- rather than at 1 as in the original problem.
import analysis.normed.field.basic
import data.polynomial.ring_division
import data.real.cardinality
import data.real.sqrt
import tactic.basic
import tactic.linarith
import ta... |
1976afc8307c3dd672c99eab9811037f4f71cb42 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/order.lean | 11a11f40a613b6626e4be7af4f46b586b8707884 | [
"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 | 13,081 | 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 tactic.alias
import tactic.lint
/-!
# Lemmas about inequalities
This file contains some lemmas about `≤`/`≥`/`<`/`>`, and `cmp`.
* We simplify `a ≥ b` and `... |
580b451e9480c84d3d01ce8058453746b3afad9a | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /test/rewrite_all.lean | b323377a5b94f886aad4cb28fe1e542a6183f87b | [] | no_license | minchaowu/lean-tidy | 137f5058896e0e81dae84bf8d02b74101d21677a | 2d4c52d66cf07c59f8746e405ba861b4fa0e3835 | refs/heads/master | 1,585,283,406,120 | 1,535,094,033,000 | 1,535,094,033,000 | 145,945,792 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 131 | lean | import tidy.rewrite_all
axiom foo : [1] = [2]
example : [[1], [1], [1]] = [[1], [2], [1]] :=
begin
nth_rewrite_lhs 1 [foo],
end |
0f551228a267fbdb28c8b6363b2d365998e65ec8 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/set_theory/ordinal/principal.lean | f3a07a8808b1a502ca78972aa141f34d3f4ff870 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 16,450 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import set_theory.ordinal.fixed_point
/-!
### Principal ordinals
We define principal or indecomposable ordinals, and we prove the standard ... |
ceb4a580d50babfa3490b2806ebd15dac41d4573 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/scopedCommandAfterOpen.lean | 32b4f4508c37acb7a1772c6debcfdf6cf3915902 | [
"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 | 145 | lean | namespace Internal
scoped macro "foo" : command => `(#print "foo")
end Internal
section
open Internal
foo
end
section
open Internal in
foo
end
|
17bf8e3503a7cb52f31280e2a5dacea01a3f7806 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Lean/Elab/App.lean | 33d0ca0f3e9c852fae94abbbaf20f5d26e364d98 | [
"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 | 44,622 | 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.FindMVar
import Lean.Parser.Term
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.Elab.SyntheticMVars
namespace Lean.Elab.Term
o... |
faae0f70657a834281a96d714990ea0b98f9aff0 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/meta/mk_has_sizeof_instance.lean | c60eba4e07a2d1684eddc9c302fd7a5a90b71339 | [
"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 | 3,324 | 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 constructing has_sizeof instance.
-/
prelude
import init.meta.rec_util init.combinator
import init.meta.constructor_tactic
namespace tactic... |
4d11edd9072db5f37d2af779aa03dc24a1a477fe | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_294.lean | 7ca1d8662cf08033742780d8207a82859b829939 | [] | 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 | 338 | lean | import algebra.ordered_group
variables {α : Type*} {R : Type*} [ordered_cancel_add_comm_monoid R]
#check @add_le_add
def fn_ub (f : α → R) (a : R) : Prop := ∀ x, f x ≤ a
theorem fn_ub_add {f g : α → R} {a b : R}
(hfa : fn_ub f a) (hgb : fn_ub g b) :
fn_ub (λ x, f x + g x) (a + b) :=
λ x, add_le_add (hfa x) (h... |
398de845e317de27bbe69e099fa36843dafd0f43 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/field_theory/finite/galois_field.lean | 4eaff75a0af26ac6b64f8f956c72def2cda06ffe | [
"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 | 8,553 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Alex J. Best, Johan Commelin, Eric Rodriguez, Ruben Van de Velde
-/
import algebra.char_p.algebra
import field_theory.finite.basic
import field_theory.galois
/-!
# Ga... |
93f044ab5da0f45cd470d2e546656de43cde9ba6 | 60bf3fa4185ec5075eaea4384181bfbc7e1dc319 | /src/game/limits/seq_cauchyBdd.lean | bef1a97c6ab3095c22944ba4c5a70fb493574f8d | [
"Apache-2.0"
] | permissive | anrddh/real-number-game | 660f1127d03a78fd35986c771d65c3132c5f4025 | c708c4e02ec306c657e1ea67862177490db041b0 | refs/heads/master | 1,668,214,277,092 | 1,593,105,075,000 | 1,593,105,075,000 | 264,269,218 | 0 | 0 | null | 1,589,567,264,000 | 1,589,567,264,000 | null | UTF-8 | Lean | false | false | 2,561 | lean | import game.limits.L01defs
import game.limits.seq_proveLimit
import algebra.pi_instances
import game.order.level05
--open function
open finset
namespace xena -- hide
notation `|` x `|` := abs x -- hide
def is_convergent (a : ℕ → ℝ) := ∃ α : ℝ, is_limit a α
def is_Cauchy (a : ℕ → ℝ) :=
∀ ε : ℝ, 0 < ε → ∃ N : ℕ,... |
5ba835574963723e810d0251f6c69f78cee4e577 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/measure/content.lean | ed2cca7809d60b48209b025f283c0cb2809b0e20 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 19,301 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.measure.measure_space
import measure_theory.measure.regular
import topology.sets.compacts
/-!
# Contents
In this file we work with *conten... |
6e1b0993d1bac86e0e4a78ff178c895aa0ba9147 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/whiskering_auto.lean | 0a9c77b1f96dee8a1e65d60c95d0e356bf83a89d | [] | 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 | 9,322 | 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.PostPort
universes u₁ u₂ u₃ v₁ v₂ v₃ u₄... |
bd20d2020c0ca561b2f918d935e63c7cf12a87b6 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/string_imp2.lean | 586a8cfd0d0a06d608e196225dc6127d6b6cbaa4 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,706 | lean | new_frontend
def f (s : String) : String :=
s ++ " " ++ s
def g (s : String) : String :=
s.push ' ' ++ s.push '-'
def h (s : String) : String :=
let it₁ := s.mkIterator;
let it₂ := it₁.next;
it₁.remainingToString ++ "-" ++ it₂.remainingToString
#eval "hello" ++ "hello"
#eval f "hello"
#eval (f "αβ").length
#eval "he... |
f9b1f29d2667ebf7694f339aea43156364d6e453 | 80b18137872dad7c3df334b9069d70935b4224f3 | /src/tactic/core.lean | b273dab8dd5cb4841080ddc17b571064334884fe | [
"Apache-2.0"
] | permissive | Jack-Pumpkinhead/mathlib | 1bcf5692d355dc397847791c137158f01b407535 | da8b23f907f750528539bffa604875b98717fb93 | refs/heads/master | 1,621,299,949,262 | 1,585,480,767,000 | 1,585,480,767,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 71,461 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic category.basic meta.expr meta.rb_map data.bool tactic.doc_commands
tactic.derive_inhabited
univer... |
37c48b0b3559d886c1d41599237ea57d2a535fb8 | 25cd4a0846d2a570ed3214242a816f1934f1ad77 | /src/logic/basic.lean | a99d2c41c782989a9ed5ce84910cb2aa07a84dea | [] | no_license | kckennylau/mathlib4 | e1c65d4aa1a91523689b0a443c30fbf2e2975451 | eb67d87662d726bafe45bab0a7a86f8dd23777c9 | refs/heads/master | 1,676,424,712,712 | 1,610,022,081,000 | 1,610,022,081,000 | 327,550,002 | 11 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,957 | lean | universes u v
/-- Ex falso, the nondependent eliminator for the `Empty` type. -/
def Empty.elim {C : Sort u} (t : Empty) : C := nomatch t
instance : Subsingleton Empty := ⟨λ a => a.elim⟩
instance {α : Type u} {β : Type v} [Subsingleton α] [Subsingleton β] : Subsingleton (α × β) :=
⟨λ ⟨a₁, b₁⟩ ⟨a₂, b₂⟩ => congr (cong... |
80c7baaf68306004c85fe0a03eaa792cb2e9daa9 | 367134ba5a65885e863bdc4507601606690974c1 | /src/ring_theory/adjoin/basic.lean | d7ee0ec9fcd1a327e956f9ab97a57ed949299860 | [
"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 | 12,314 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.polynomial.basic
import algebra.algebra.subalgebra
/-!
# Adjoining elements to form subalgebras
This file develops the basic theory of subalgebras of an R-... |
7af01b508b3589f6a7d2d1b543c6005e6d50e567 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/topology/opens.lean | 4f5645307a9fcc4e322f6eba2dd082a1365505e7 | [
"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 | 6,322 | 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
Subtype of open subsets in a topological space.
-/
import topology.bases
import topology.separation
open filter
variables {α : Type*} {β : Type*} [topo... |
4b9ead2445edbcec6b099efdecea4ff4d2d03ea8 | 2cf781335f4a6706b7452ab07ce323201e2e101f | /lean/deps/galois_stdlib/src/galois/logic.lean | 4ec47eee5f47d0b9a6ee1fd73db6975008906ad0 | [
"Apache-2.0"
] | permissive | simonjwinwood/reopt-vcg | 697cdd5e68366b5aa3298845eebc34fc97ccfbe2 | 6aca24e759bff4f2230bb58270bac6746c13665e | refs/heads/master | 1,586,353,878,347 | 1,549,667,148,000 | 1,549,667,148,000 | 159,409,828 | 0 | 0 | null | 1,543,358,444,000 | 1,543,358,444,000 | null | UTF-8 | Lean | false | false | 472 | lean | -- Definitions
--- Use type-class resolution to find a decidable instance.
def decide (p:Prop) [h:decidable p] : decidable p := h
--- Use decidable instance to prove any theorem is we have a proof of the theorem, but it is false.
theorem of_as_false {P : Prop} [h:decidable P] (p:P) (q : as_false P) {α : Prop} : α :... |
02ea309ae1e8fde7cde1bd6b2e9b0db7f146b8c8 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/finset/partition.lean | 5bbf7803680567dc15a312e54e3bd5d363641a23 | [
"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 | 5,958 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Haitao Zhang
Partitions of a type A into finite subsets of A. Such a partition is represented by
a function f : A → finset A which maps every element a : A to its equivalence cl... |
d65b2ce359a8f7ebe2e84cab1da9acea16888be1 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/geometry/euclidean/basic.lean | d08ff6b6703b63a4270fa831e56f7e96d516bbce | [
"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 | 54,985 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Manuel Candales
-/
import analysis.normed_space.inner_product
import analysis.special_functions.trigonometric
import algebra.quadratic_discriminant
import analysis.normed_s... |
c854a73bfbabf90b78ec3e493a2cff1ef1aed3c2 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/category_theory/limits/cones.lean | 8e937d8b3578ab46e7483c09c8bf7ae9af91e96e | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 16,622 | 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, Floris van Doorn
-/
import category_theory.const
import category_theory.yoneda
import category_theory.concrete_category
import category_theory.equivalen... |
931f09125c3a8703a6ea315f3e593aee0406ddca | 88892181780ff536a81e794003fe058062f06758 | /src/lib/finite.lean | 04c7a9a07c11bfd40ddada55078e24e1b1c8144f | [] | no_license | AtnNn/lean-sandbox | fe2c44280444e8bb8146ab8ac391c82b480c0a2e | 8c68afbdc09213173aef1be195da7a9a86060a97 | refs/heads/master | 1,623,004,395,876 | 1,579,969,507,000 | 1,579,969,507,000 | 146,666,368 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,292 | lean | import data.fintype
import lib.sets
import lib.lists
#print set
example {α} {s : set α} (x : subtype s) : subtype s := x
/-
instance finite_all_unit : finite (λ (_ : unit), true)
:= finite.mk [()] (λ x _, by {cases x, simp})
def finite_sub [fin : finite (all α)] (s : set α) [decidable_pred s] [decidable_eq α] : fin... |
d76937047331ab35447fd9f064606cb1fc4facdf | 0ce335c3cee4b6a212935fdfd1a5270985454648 | /src/category_theory/limits/cones.lean | f6fba30d0f87a68c48be130f70dd68052c5cd2bd | [
"Apache-2.0"
] | permissive | yashen32768/mathlib | 191f6113ccd0ef74091c3f5951ae84c0aa85516f | f54463254784b400da2e33dfa58f94775e3de845 | refs/heads/master | 1,598,060,530,541 | 1,571,523,082,000 | 1,571,523,082,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,432 | 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, Floris van Doorn
-/
import category_theory.const
import category_theory.yoneda
import category_theory.concrete_category.bundled_hom
import category_theo... |
b4bd20e3c35631271115c00276cbccd5252d87ff | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/category/Profinite/cofiltered_limit.lean | 1fb982d1ad7d36a80085e3ee4518321ea6bc31f8 | [
"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 | 9,481 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import topology.category.Profinite.basic
import topology.locally_constant.basic
import topology.discrete_quotient
import topology.category.Top.limits.cofiltered
import topolo... |
8240cd4a50da255e8374313f787cc93aed3122d8 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/category_theory/limits/cones.lean | b34b822e37d54be38d3a8e43d7a4fe25d303f7fe | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 31,268 | 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, Floris van Doorn
-/
import category_theory.functor.const
import category_theory.discrete_category
import category_theory.yoneda
import category_theory.f... |
cd2924b6714b14f69957a9f18b8e6020408e2b7d | 297c4ceafbbaed2a59b6215504d09e6bf201a2ee | /finset/logic.lean | 6b4039c98b9b4793385bbaf8db4d8308401b5a4b | [] | no_license | minchaowu/Kruskal.lean3 | 559c91b82033ce44ea61593adcec9cfff725c88d | a14516f47b21e636e9df914fc6ebe64cbe5cd38d | refs/heads/master | 1,611,010,001,429 | 1,497,935,421,000 | 1,497,935,421,000 | 82,000,982 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 494 | lean | import tools.super
theorem iff.of_eq {a b : Prop} (h : a = b) : a ↔ b :=
eq.rec_on h iff.rfl
theorem and.left_distrib (a b c : Prop) : a ∧ (b ∨ c) ↔ (a ∧ b) ∨ (a ∧ c) := by super
theorem and.right_distrib (a b c : Prop) : (a ∨ b) ∧ c ↔ (a ∧ c) ∨ (b ∧ c) := by super
theorem or.left_distrib (a b c : Prop) : a ∨ (b ... |
3404b8bba0c93c79976290cbd31a9811ebcac525 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/measure_theory/decomposition/radon_nikodym.lean | b039a0505b94a5c8b36c679d2bca3401f43e6e26 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,909 | 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.lebesgue
/-!
# Radon-Nikodym theorem
This file proves the Radon-Nikodym theorem. The Radon-Nikodym theorem states that, given measures... |
4972115e0e14450613b86d0b8ea31544d97b10bd | 94e33a31faa76775069b071adea97e86e218a8ee | /archive/imo/imo1972_q5.lean | 4b83138a45def1373e0262e40c08adc6969bff5c | [
"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 | 4,242 | lean | /-
Copyright (c) 2020 Ruben Van de Velde, Stanislas Polu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ruben Van de Velde, Stanislas Polu
-/
import data.real.basic
import analysis.normed_space.basic
/-!
# IMO 1972 Q5
Problem: `f` and `g` are real-valued functions ... |
1e717d02911615dac56c08cc4a3624e4dec3306b | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/vector3.lean | 823a146c1225f3ffbdcf54522b8bdeaff6d25a13 | [
"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 | 7,978 | 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.fin.fin2
import tactic.localized
/-!
# Alternate definition of `vector` in terms of `fin2`
This file provides a locale `vector3` which overrides the `[a... |
2320f6883dc3332f9296d4865e8c4d53a5c6edca | 6b2a480f27775cba4f3ae191b1c1387a29de586e | /group_rep1/Tools/sum_group.lean | 710dd746bf3f776ae27d9d9d7f19a066dbe23136 | [] | 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 | 1,245 | lean | import .to_permutation
import .to_sum
open equiv
universe u
/--
For a group `G` and an element `g : G`, `to equiv g` is the permutation (i.e `equiv G G`) define
by : `s ↦ s * g⁻¹`
-/
def to_equiv {G : Type u}[group G](g : G) : perm G := { to_fun := λ s :G , s * g⁻¹ ,
inv_fun := λ s : G , s * g,
left_in... |
215ca022168f13810d56e960aa8d658c2662b857 | 6de8ea38e7f58ace8fbf74ba3ad0bf3b3d1d7ab5 | /solutions2/Problem2/lambda.lean | f3158ac9784b4c87b3c8807a820f00b9b88cb15e | [] | no_license | KinanBab/CS591K1-Labs | 72f4e2c7d230d4e4f548a343a47bf815272b1f58 | d4569bf99d20c22cd56721024688cda247d1447f | refs/heads/master | 1,587,016,758,873 | 1,558,148,366,000 | 1,558,148,366,000 | 165,329,114 | 5 | 2 | null | 1,550,689,848,000 | 1,547,252,664,000 | TeX | UTF-8 | Lean | false | false | 1,377 | lean | -- Syntax
inductive term
| var : nat → term
| abs : nat → term → term
| app : term → term → term
-- Custom notation
-- instance : has_coe nat term := ⟨term.var⟩
notation `X`n := term.var n
notation `λ:X`n `.` t := term.abs n t
notation `[`t1`]@(`t2`)` := term.app t1 t2
-- Substitution: the core of beta reduction
... |
5d149bd2abbe4c38a06a7b09cc4b3b15451baf6a | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/geometry/manifold/instances/real.lean | c00ac5892a405623f5bc2b0d9658ed1da09b264d | [
"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 | 13,760 | 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 linear_algebra.finite_dimensional
import geometry.manifold.smooth_manifold_with_corners
import analysis.inner_product_space.pi_L2
/-!
# Constructing exa... |
7e134756f5174f289cd6b58659841396051a13f5 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/groupoid.lean | b661c3984caaa0b315584ade1c7772a32df35f3b | [
"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 | 2,200 | lean | /-
Copyright (c) 2018 Reid Barton All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison, David Wärn
-/
import category_theory.category
import category_theory.epi_mono
namespace category_theory
universes v u -- declare the `v`'s first; see `catego... |
4ab8adcde6092d86c8f44ca323b2c7a712957012 | 6ae186a0c6ab366b39397ec9250541c9d5aeb023 | /src/category_theory/adjunctions/comparisons.lean | 7a5c897706b4248d4a0bac0ab68545301d68dbd9 | [] | no_license | ThanhPhamPhuong/lean-category-theory | 0d5c4fe1137866b4fe29ec2753d99aa0d0667881 | 968a29fe7c0b20e10d8a27e120aca8ddc184e1ea | refs/heads/master | 1,587,206,682,489 | 1,544,045,056,000 | 1,544,045,056,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,117 | 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.adjunctions
import category_theory.adjunctions.hom_adjunction
-- FIXME why do we need this here?
@[obviously] meta def obv... |
c83fb66e9a23cdad038888a305f3fddef13d3eea | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/special_functions/trigonometric_auto.lean | 7a815feb0873cb02d336eef7c98fcd2ec86b2423 | [] | 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 | 112,085 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.special_functions.e... |
58572b0bd393d4603205ee198ccc64409c31ff8a | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/sec_var.lean | 885f1b10c7088555391154fd3561b6c297a69a78 | [
"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 | 534 | lean | section
parameter A : Type
definition foo : ∀ ⦃ a b : A ⦄, a = b → a = b :=
take a b H, H
variable a : A
set_option pp.implicit true
check foo (eq.refl a)
check foo
check foo = (λ (a b : A) (H : a = b), H)
end
check foo = (λ (A : Type) (a b : A) (H : a = b), H)
section
variable A : Type
definitio... |
8f363af650746494d4d8d44f16fab0d84c07841c | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/data/dfinsupp.lean | 2b1201add8e14683c749b964f59aa89f1d95376d | [
"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 | 32,786 | 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.pi_instances
/-!
# Dependent functions with finite support
For a non-dependent version see `data/finsupp.lean`.
-/
universes u u₁ u₂ v v₁ v₂ v... |
51484428c2eafed47e00003c228dba1d171e7220 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/group_action_hom.lean | c3cfce8f23c85c446c2c8599fe668ceec73dd3db | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 11,518 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import group_theory.group_action.basic
import algebra.group_ring_action
/-!
# Equivariant homomorphisms
## Main definitions
* `mul_action_hom M X Y`, the type of equivariant... |
60ac5e18b3219b732bf6bf1a6dd1d26933660978 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/data/padics/padic_numbers.lean | ba43afe1f86436dd654f891389feda365d68b5da | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 32,528 | 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
-/
import data.real.cau_seq_completion topology.metric_space.cau_seq_filter
import data.padics.padic_norm algebra.archimedean analysis.normed_space.basic
import tact... |
16598b4c1ec9dec7fad92e6eb9029cde7efccc52 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Lean/Elab/InfoTree.lean | 57f1752881aab2af6be271a35c394c7382a3f41b | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,255 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Data.Position
import Lean.Expr
import Lean.Message
import Lean.Data.Json
import Lean.Meta.Basic
import Lean.M... |
710ae96b2cc57b533d2d571114b1c9a7c0ade59d | 1a9d3677cccdaaccacb163507570e75d34043a38 | /src/week_1/Part_A_logic.lean | 5d9fc1ca6d7ee7b0fe315e8dc354b81f7ffc0c62 | [
"Apache-2.0"
] | permissive | alreadydone/formalising-mathematics | 687d386a72065795e784e270f5c05ea3948b67dd | 65869362cd7a2ac74dd1a97c7f9471835726570b | refs/heads/master | 1,680,260,936,332 | 1,616,563,371,000 | 1,616,563,371,000 | 348,780,769 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,357 | lean | -- We import all of Lean's standard tactics
import tactic
/-!
# Logic
We will develop the basic theory of following five basic logical symbols
* `→` ("implies" -- type with `\l`)
* `¬` ("not" -- type with `\not` or `\n`)
* `∧` ("and" -- type with `\and` or `\an`)
* `↔` ("iff" -- type with `\iff` or `\lr`)
* `∨` ("or... |
765a5e02786d149602858c4ee534da7c9cbc39d8 | 130d371f971f05e5686dfbc39bba9b3867057815 | /src/playground.lean | 4d19a5b6a57ceabd2ae903d5c5f1ac1f7e747612 | [] | 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 | 48 | lean | import data.set.finite
open set
#check finite
|
26093560afd1cffc8669e3e7fcede9c9bcf4c190 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/structure_test.lean | 684b6c34d59d1642bc41a1df3c0e765068e72fdc | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 694 | lean | import logic data.sigma
inductive point (A B : Type) :=
mk : Π (x : A) (y : B), point A B
inductive color [class] :=
red, green, blue
constant foo.{l} (A : Type.{l}) [H : decidable_eq A] : Type.{l}
constants a : num
section
universe variable l
variable A : Type.{l}
variable Ha : decidable_eq A
variable E :... |
bc4b2329c7449900e141777f58033cb62a6a1b35 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/filter/pointwise.lean | f9355b3a676745eddbcb4d75cdd3d2460fbcb1a0 | [
"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 | 36,240 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Yaël Dillies
-/
import data.set.pointwise.smul
import order.filter.n_ary
import order.filter.ultrafilter
/-!
# Pointwise operations on filters
> THIS FILE IS SYNCHRONIZ... |
4b962f1cf96045752fd8efbf312ad6bed28a4670 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/category/PartialFun.lean | 2f1349a549b6caa12069890bcc9231fb4ca989dc | [
"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 | 6,377 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import category_theory.category.Pointed
import data.pfun
/-!
# The category of types with partial functions
This defines `PartialFun`, the category of types equipped wi... |
a78136d14d5f1b3d8c8c267781f31f1fa0c0b763 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/limits/lattice.lean | 9e5bf04bfd98f05af04c2147cf8bb37e52c3c5eb | [
"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 | 8,697 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Justus Springer
-/
import order.complete_lattice
import category_theory.limits.shapes.pullbacks
import category_theory.category.preorder
import category_theory.limits.s... |
da6d07e41ec873d47e45dc5d82252e041c08b9dc | b794ca1df49bc5a3bd3fd5552eed3bc4f63b8b93 | /src/mywork/9-17-2021notes.lean | 7c707a8d4db5bc31811f45453904ec0642bbbc85 | [] | no_license | akraisinger/cs2120f21 | 8235ac98375e04ffcec504cff5cab7833ee69e54 | 4ef83d7151bb6a284028092aa4f1d509c0eb8237 | refs/heads/main | 1,691,714,771,612 | 1,632,889,465,000 | 1,632,889,465,000 | 399,946,508 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 52 | lean | /-
to prove true true, do true.intro
false.elim?
-/ |
ee5e95092a86dcc0ced9311cb990590bd1392e99 | bb31430994044506fa42fd667e2d556327e18dfe | /src/linear_algebra/affine_space/affine_map.lean | be0d1ad6dd466555ca6dc4421b89f12484b5b916 | [
"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 | 25,192 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import data.set.pointwise.interval
import linear_algebra.affine_space.basic
import linear_algebra.bilinear_map
import linear_algebra.pi
import linear_algebra.prod
/-!
# ... |
bd7fb73a33cd5efa76ae6bcb8ad4a044aca09de4 | a88f0086fb3e2025ebb21e0ba2f2725774c6979f | /src/data/finset.lean | ec4ff7be0978c4ca2da755eaa4f9907b9862a217 | [
"Apache-2.0"
] | permissive | Kha/stdlib | b5a4456c35def0ca8f1bf2d32dbeebd7639cbc4d | e44b105c72ec77120f43a7a7dd1cd49867a65a41 | refs/heads/master | 1,609,528,111,500 | 1,572,963,395,000 | 1,572,963,395,000 | 98,516,307 | 0 | 1 | null | 1,501,146,352,000 | 1,501,146,352,000 | null | UTF-8 | Lean | false | false | 89,357 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Jeremy Avigad, Minchao Wu, Mario Carneiro
Finite sets.
-/
import logic.embedding algebra.order_functions
data.multiset data.sigma.basic data.set.lattice
op... |
e17f8a0e695694dee3636b60f94b31ab93fdb5cc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/abs.lean | a7ed47f3b95cab213d55b31d556c36aa158bf6d5 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,710 | lean | /-
Copyright (c) 2021 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
/-!
# Absolute value
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
This file defines a nota... |
4923f3ba65564f5eb194aa17b9b8595b5c88edc8 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /stage0/src/Lean/Data/Trie.lean | 3d76ce4d8aeee21be456c89bc70a11392e471841 | [
"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 | 2,754 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sebastian Ullrich, Leonardo de Moura
Trie for tokenizing the Lean language
-/
import Lean.Data.Format
namespace Lean
namespace Parser
open Std (RBNode RBNode.leaf RBNode.singl... |
41fbddd0fa10668de9d3a5a8a3241a47e93e0b93 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/algebra/group/hom.lean | b7630b7e0115c878b0c1f85853b90bed936c6462 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,942 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
import algebra.group.to_additive algebra.group.basic
/-!
# monoid an... |
dfae369904fb0682413182d376f23a5c390791ca | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/clifford_algebra/even_equiv.lean | 55e8ea60c4c02b3c10e6b9887b2bc9f7494d5d0e | [
"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 | 11,417 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.clifford_algebra.conjugation
import linear_algebra.clifford_algebra.even
import linear_algebra.quadratic_form.prod
/-!
# Isomorphisms with the even su... |
20bf41501e4027045bcae0f781a01d6ddfc5e487 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /tests/lean/match4.lean | 4a0cb78e69213acb2fbeb601ed9d8d1e7375aacb | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,131 | lean | def f1 (x : Nat × Nat) : Nat :=
match x with
| { fst := x, snd := y } => x - y
#eval f1 (20, 15)
def g1 (h : Nat × Nat × Nat → Nat) : Nat :=
h (1, 2, 3)
def f2 (w : Nat) : Nat :=
g1 fun (x, y, z) => x + y + z + w
#eval f2 10
def g2 (h : Nat × Nat → Nat × Nat → Nat) : Nat :=
h (1, 2) (20, 40)
def f3 (a : Nat) : Na... |
9665cd1cb77e932758080db9b8fc573d0f6d9f5c | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/real/cau_seq.lean | b2506789ca54333fadbb336fb721fb6f328d8dbf | [
"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 | 26,015 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.big_operators.order
/-!
# Cauchy sequences
A basic theory of Cauchy sequences, used in the construction of the reals and p-adic numbers. Where
applic... |
14dfbff0720723165acc9152ce2c4d865fe6738c | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean.lean | 8ef15243758ffb1364ee7c9863238195f10cad7b | [
"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 | 718 | 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.Compiler
import Lean.Environment
import Lean.Modifiers
import Lean.ProjFns
import Lean.Runtime
import Lean.Attributes
import Lean.Parser
import ... |
d78ce1b822b6b0b6b9a864b18787bccbf8cd6814 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /library/data/nat/power.lean | 446e7ec7807f7c2ee49b854f336069d9be571ab7 | [
"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 | 2,357 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: data.nat.power
Authors: Leonardo de Moura
Power
-/
import data.nat.basic data.nat.div
namespace nat
definition pow : nat → nat → nat
| a 0 := 1
| a (succ b) := a * p... |
e62c5647d9745f5f1e8668a52a8a417cffce41cc | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/init/logic.lean | c21169480328aac6ed6b4cb45266d95367da102b | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,584 | 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, Floris van Doorn
-/
prelude
import init.datatypes init.reserved_notation
/- implication -/
definition implies (a b : Prop) := a → b
lemma im... |
429756b6d2b941355c8ea1151023737404e287dc | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/topology/metric_space/lipschitz.lean | c221e631ca9051eb3967ac57fee1fed4f991bb12 | [
"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 | 11,374 | lean | /-
Copyright (c) 2018 Rohan Mitta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rohan Mitta, Kevin Buzzard, Alistair Tucker, Johannes Hölzl, Yury Kudryashov
-/
import topology.metric_space.basic
import category_theory.endomorphism
import category_theory.types
/-!
# ... |
908040e82142997a59c11c244aa2ff5ffa50eb9f | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/init/meta/quote.lean | 4b9f8813f9cc356d8dbffd3eb77ff7a323179462 | [
"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 | 1,644 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
prelude
import init.meta.tactic
open tactic
meta class has_quote (α : Type) :=
(quote : α → pexpr)
@[inline] meta def quote {α : Type} [has_quote α] : α ... |
5e2821a759ab3d832513e6f8675e8d8ef660c797 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast2.lean | d5dd8c2dae7fb550f895640196ff2671749844ae | [
"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 | 153 | lean | set_option blast.strategy "preprocess"
example (a b : Prop) : forall (Ha : a) (Hb : b), a :=
by blast
example (a b : Prop) : a → b → a :=
by blast
|
44993e37e31a0feeba49226c6468646035415e51 | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/analytic/inverse.lean | daf8eb37174567f6d32d32a6a13907d6df969774 | [
"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 | 27,363 | 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 analysis.analytic.composition
import tactic.congrm
/-!
# Inverse of analytic functions
We construct the left and right inverse of a formal multilinear ... |
2e09055ef456bb05080d900f3639a4d9ef10826e | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Server/FileWorker.lean | 993199ff09301cc1a16d66252ac5aa2dfc162a4e | [
"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 | 23,302 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Init.System.IO
import Std.Data.RBMap
import Std.System.Uri
import Lean.Environment
import Lean.Data.Lsp
import Lean.Data.Json.FromToJson
i... |
b08be131cd56340750c088a10b7c1dd61e82134e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/opposite.lean | 5ffbb94639c13cc31b4a4f8de98212933b6e9875 | [] | 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 | 3,834 | 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, Simon Hudon, Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.equiv.basic
import Mathlib.PostPort
universes u ... |
5b20edc29a932fb155565d32314354680e0cd550 | 1963cb8789bf8cf695607cc2d4106d7fdd8fb9f2 | /homework4/homework4.lean | ed00d83e4bd9bc3f0b15089e3d3d61c22e5dffc2 | [] | no_license | mtegene/homework-mtegene-master | ed43dd0b8cbcea936b6eec82c614842eca02a406 | 5f9b3623a46d2d3b98c54d8cbc82962d3fef49f5 | refs/heads/master | 1,610,605,612,607 | 1,488,481,866,000 | 1,488,481,866,000 | 81,875,687 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,838 | lean | /-
The goal of this assignment is to formalize a proof that there are infinitely many
primes.
-/
import tools.super -- provides some automation
/-
The statement
-/
namespace nat
protected def dvd (m n : ℕ) : Prop := ∃ k, n = m * k
instance : has_dvd nat := ⟨nat.dvd⟩
-- remember, type "dvd" with \|
def pri... |
3a6c1974baafc49fc363e67896fb25fb94860eb6 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/simple_module.lean | 1baeee6b8877bd5e034ee443217ebf5d99281b7f | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 5,337 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import linear_algebra.span
import order.atoms
/-!
# Simple Modules
## Main Definitions
* `is_simple_module` indicates that a module has no proper submodules
(t... |
7d0e72c02b6fb3829206882d995690270f97bc53 | 8930e38ac0fae2e5e55c28d0577a8e44e2639a6d | /analysis/measure_theory/borel_space.lean | d3e5a0814dc3a5067b43c7529ab02d14c08164b3 | [
"Apache-2.0"
] | permissive | SG4316/mathlib | 3d64035d02a97f8556ad9ff249a81a0a51a3321a | a7846022507b531a8ab53b8af8a91953fceafd3a | refs/heads/master | 1,584,869,960,527 | 1,530,718,645,000 | 1,530,724,110,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,298 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Borel (measurable) space -- the smallest σ-algebra generated by open sets
It would be nice to encode this in the topological space type class, i.e. each topological sp... |
2d23b61a3edfcd5a69763d04d0d9162d526ad5c1 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/fin_category.lean | be38ca3dcd899e1ae3b1534127a6b6f3b6e4dbf1 | [
"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 | 3,959 | 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.fintype.basic
import category_theory.discrete_category
import category_theory.opposites
/-!
# Finite categories
A category is finite in this sense if it... |
7a84e89623ddf8694330da86db5fec56315b7c2b | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/category_theory/filtered.lean | f9b769683cf7e339bc77782022748d8e04cee4f6 | [
"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 | 9,840 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton
-/
import category_theory.fin_category
import category_theory.limits.cones
import category_theory.adjunction.basic
import order.bounded_lattice
/-!
# Filtered categories
A c... |
97c96044de86e98ea73b1bf8838e92fbdf846c43 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/list/duplicate.lean | efa5f35a83d938e4d5cd30b56e092289b3e920a2 | [
"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 | 4,434 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky, Chris Hughes
-/
import data.list.nodup
/-!
# List duplicates
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mat... |
80a3d7b5d8f79ed4881fd9599f33f78a2872967a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed/field/unit_ball.lean | 397e10d308943710e83bfe13b2839700bf655483 | [
"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 | 7,520 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Heather Macbeth
-/
import analysis.normed.field.basic
import analysis.normed.group.ball_sphere
/-!
# Algebraic structures on unit balls and spheres
> THIS FILE IS S... |
e3634ce687ffa9ef159c1c4aecc09463ca554992 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/real/ennreal.lean | d3cc937a952581fdc78b3dbbc1c2b2d2e2f075cf | [
"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 | 46,833 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Yury Kudryashov
Extended non-negative reals
-/
import data.real.nnreal
import data.set.intervals
noncomputable theory
open classical set
open_locale classical big_oper... |
d936d56a4da4bcfb07a38b8b8d61fc6e9df7f7d7 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/eq_to_hom_auto.lean | 241004b519f291874a57241d34259c244c5742f7 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,867 | lean | /-
Copyright (c) 2018 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.opposites
import Mathlib.PostPort
universes u₁ v₁ v₂ u₂
namesp... |
e048ecc006600544fa79d80e00bef378f3b1a7ad | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/decidable.lean | 7d712e29cd9575f96d3d3a70031effdd128eda99 | [
"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 | 235 | lean | import logic data.unit data.bool
open bool unit decidable
constants a b c : bool
constants u v : unit
set_option pp.implicit true
check if ((a = b) ∧ (b = c) → ¬ (u = v) ∨ (a = c) → (a = c) ↔ a = tt ↔ true) then a else b
|
3a9d255a3ac0bfb21301e076ee2bee0104ce8227 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/typed_smt2/src/galois/smt2/interface.lean | 790906858cccedb0446e8f21f3f459c9afff589f | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 1,179 | lean | import .basic
universes u v
namespace smt2
/-- This is a class for generating SMTLIB definitions -/
class is_generator (m : Type u → Type v) extends monad m :=
-- Assert a Boolean term is true.
(assert {} : term Bool → m punit)
-- Declare a function
(declare_fun {} : symbol → list sort → sort → m punit)
-- Declare a... |
2fa56e1b46d443ea24e86e4d4a056e6468e24418 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/measure/portmanteau.lean | 12f92076938eddbd9cd41cc1dc73c4117f3a4350 | [
"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 | 24,857 | 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 measure_theory.measure.probability_measure
import measure_theory.measure.lebesgue.basic
/-!
# Characterizations of weak convergence of finite measures and probabi... |
5afc29f367dbe30f3a7a89e87ac28a3eaa9c01c3 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/init/data/setoid.lean | 166da36ff7100108a905c1281ddd367c0b082d0a | [
"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 | 812 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.logic
universes u
class setoid (α : Type u) :=
(r : α → α → Prop) (iseqv : equivalence r)
namespace setoid
infix ` ≈ ` := setoid.r
va... |
79172a7435e62266fc84b7387e5d53ed204f712b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/rewrite_search/frontend.lean | 359ffa3697afb732ec88c2666a061444be716846 | [] | 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 | 3,360 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Keeley Hoek, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.rewrite_search.explain
import Mathlib.tactic.rewrite_search.discovery
i... |
1a6c3b62b0bfef975bf057aee89b3f1c498efa68 | 367134ba5a65885e863bdc4507601606690974c1 | /src/analysis/convex/cone.lean | b78e74355ca88de532d676fc250b426c760726f6 | [
"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 | 22,743 | lean | /-
Copyright (c) 2020 Yury Kudryashov All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Frédéric Dupuis
-/
import linear_algebra.linear_pmap
import analysis.convex.basic
import order.zorn
/-!
# Convex cones
In a vector space `E` over `ℝ`, we define a co... |
7aeca2dec378558c67a32ae0acf872a68d642c40 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/matchAltIndent.lean | 473035fbe60a8ab2200d9bdb468cd11dc8eb1ae7 | [
"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 | 76 | lean | partial def frob : Nat → Nat | i =>
if i > 10 then frob 5 else frob (i-1)
|
61de6c45d3b0c671170959b2bb0ba5d32627ca70 | 618003631150032a5676f229d13a079ac875ff77 | /src/order/bounds.lean | cba8debda1c2bd81a44cb50f81a0348f333ef1ac | [
"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 | 25,146 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import data.set.intervals.basic
/-!
# Upper / lower bounds
In this file we define:
* `upper_bounds`, `lower_bounds` : the set of upper bounds (res... |
97a2c335bd47837aeeea7bef5fa6d344b1427936 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/metric_space/pi_Lp.lean | 7c9e9247a971f9815da80908edebc0f4501fbab6 | [
"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 | 12,037 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.mean_inequalities
/-!
# `L^p` distance on finite products of metric spaces
Given finitely many metric spaces, one can put the max distance on t... |
9a0c58a23788267c277ef529230ecafe615c806a | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/priority_test2.lean | 48df160164adbaea34983e0a09d549ee86822c8f | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 748 | lean | open nat
structure [class] foo :=
(a : nat) (b : nat)
attribute [instance, priority std.priority.default-2]
definition i1 : foo :=
foo.mk 1 1
example : foo.a = 1 :=
rfl
attribute [instance, priority std.priority.default-1]
definition i2 : foo :=
foo.mk 2 2
example : foo.a = 2 :=
rfl
attribute [instance]
definitio... |
5e034cf897c11f55928edb5aec314fe3c8e4fd28 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/nateq.lean | 54fdb2e0eed740769a945ecad27cbd959b7e079d | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 917 | lean | import data.nat.basic data.bool
open bool nat eq.ops
reducible nat.rec_on
definition is_eq (a b : nat) : bool :=
nat.rec_on a
(λ b, nat.cases_on b tt (λb₁, ff))
(λ a₁ r₁ b, nat.cases_on b ff (λb₁, r₁ b₁))
b
example : is_eq 3 3 = tt :=
rfl
example : is_eq 3 5 = ff :=
rfl
theorem eq.to_is_eq (a b : nat) (H : a ... |
8dac05093977414fbb929b0c83915800d01785c9 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inductionParse.lean | 5421f3ebda7eac85a10d8d565711cb6515251515 | [
"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 | 108 | lean | example (a b : Nat) : True := by
induction a generalizing b
case zero => trivial
case succ => trivial
|
9f3b1cef62d38677c8e94eb95e6ad14f53835d5a | bf532e3e865883a676110e756f800e0ddeb465be | /group_theory/subgroup.lean | 1f93c5611f7ea8fce305a941a1dd58585db83558 | [
"Apache-2.0"
] | permissive | aqjune/mathlib | da42a97d9e6670d2efaa7d2aa53ed3585dafc289 | f7977ff5a6bcf7e5c54eec908364ceb40dafc795 | refs/heads/master | 1,631,213,225,595 | 1,521,089,840,000 | 1,521,089,840,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,741 | 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.finset algebra.big_operators data.equiv data.set data.nat.basic set_theory.cardinal
open set function finset
local infix ` ^ ` := monoid.pow
universes ... |
c0c82347e9c8cca36b6e45435a08accefaea15fb | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/analysis/calculus/iterated_deriv.lean | 1a6d97edc98ba0b3a1d7f8014ac853d2a84a826a | [
"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 | 14,706 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.deriv
import analysis.calculus.times_cont_diff
/-!
# One-dimensional iterated derivatives
We define the `n`-th derivative of a functi... |
406cef9d18ae2b4e8d07e6afbbc4b50081048690 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/task_test.lean | 559a99e9fd65eac3b147c34333ca212d07a21d5c | [
"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 | 519 | lean | def g (x : Nat) : Nat :=
dbgTrace ("g: " ++ toString x) $ fun _ =>
x + 1
def f1 (x : Nat) : Nat :=
dbgSleep 1000 $ fun _ =>
dbgTrace ("f1: " ++ toString x) $ fun _ =>
g (x + 1)
def f2 (x : Nat) : Nat :=
dbgSleep 100 $ fun _ =>
dbgTrace ("f2: " ++ toString x) $ fun _ =>
g x
def main (xs : List String) : IO UIn... |
647ad11fc7962ab16b111c7338bcf662e1eb203d | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/def13.lean | 9c2c14cf9ea61f3628fa56f7d90c8c4bd5c72314 | [
"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 | 623 | lean | new_frontend
variables {α} (p : α → Prop) [DecidablePred p]
def filter : List α → List α
| [] => []
| a::as => if p a then a :: filter as else filter as
theorem filter_nil : filter p [] = [] :=
rfl
theorem filter_cons (a : α) (as : List α) : filter p (a :: as) = if p a then a :: filter p as else filter p as :=
r... |
fdefe45844385b02a0f2266bcf9705ad9908afb6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/nat/order/basic.lean | c0913019067e22b1acf5c53bf7a0c2849863168b | [
"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 | 23,954 | lean | /-
Copyright (c) 2014 Floris van Doorn (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import algebra.order.ring.canonical
import data.nat.basic
/-!
# The natural numb... |
5678a5ac8cf592580e908f50773593dfb5813987 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /data/complex/basic.lean | 5de127dfb9fd7608be668c431cfef1c9f5ab86a8 | [
"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 | 18,056 | lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Mario Carneiro
The complex numbers, modelled as R^2 in the obvious way.
-/
import data.real.basic tactic.ring algebra.field
structure complex : Type :=
(re : ℝ) (im : ℝ... |
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