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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6cc484a63153a1938e7485d7e3691c031868b38f | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/metric_space/hausdorff_distance.lean | 50613568802f185f8e6157ebabf08fa86993ee4f | [
"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 | 33,559 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.isometry
import topology.instances.ennreal
import analysis.specific_limits
/-!
# Hausdorff distance
The Hausdorff distance on sub... |
9674e04b1d4d9060771d24dadb1f258872b6bf3b | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/topology/instances/real.lean | ef0db9e4096851a9143bf4c804ee67c915c5d61e | [
"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 | 16,388 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.metric_space.basic
import topology.algebra.uniform_group
import topology.algebra.ring
import ring_theory.subring
import group_theory.a... |
d66ac3feb5c7e725ab6cd55222aff014d5d9eca2 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/testing/slim_check/sampleable.lean | c14c317264fde201c7c5f4b045643146de333ede | [
"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 | 31,336 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import data.lazy_list.basic
import data.tree
import data.pnat.basic
import control.bifunctor
import control.ulift
import testing.slim_check.gen
import tactic.linarith
/-!
... |
35a9b175dcfb1c73fe025731b9176928f32dc9f7 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /examples/lean/tc.lean | f7e98136c979ae0a7894ba20a7b3716a194df2f1 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,727 | lean | import macros
definition reflexive {A : TypeU} (R : A → A → Bool) := ∀ x, R x x
definition transitive {A : TypeU} (R : A → A → Bool) := ∀ x y z, R x y → R y z → R x z
definition subrelation {A : TypeU} (R1 : A → A → Bool) (R2 : A → A → Bool) := ∀ x y, R1 x y → R2 x y
infix 50 ⊆ : subrelation
-- (tcls R) is the trans... |
8433f201b9b897d4539f7e80730d750560ea5368 | 32a2d1642d7519c99693bc1d3b24069e4853dd1f | /logic/relation.lean | 4e9ed098489ada3a41890f0843881b71da208b28 | [
"Apache-2.0"
] | permissive | Cedric0099/mathlib | 7edb81d5d68e280b4d21f6c0377dad1f9b8c0d71 | a97101d2df5d186848075a2d0452f6a04d8a13eb | refs/heads/master | 1,584,201,847,599 | 1,524,979,632,000 | 1,524,979,632,000 | 131,690,350 | 0 | 0 | null | 1,525,162,341,000 | 1,525,162,341,000 | null | UTF-8 | Lean | false | false | 8,214 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Transitive reflexive as well as reflexive closure of relations.
-/
import tactic
variables {α : Type*} {β : Type*} {γ : Type*} {r : α → α → Prop} {a b c d : α}
namespa... |
97984d05bff5317c679d86df138edc2416d266bc | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/order/interval.lean | 76defaf048fa9ddc46dab9c537a1f5950c457c9d | [
"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 | 16,174 | 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 data.set.intervals.basic
import data.set.lattice
import data.set_like.basic
/-!
# Order intervals
This file defines (nonempty) closed intervals in an order (see ... |
a3196377f59ea829830922b938af9b15e5815681 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/homology/homotopy.lean | 5d37a038749699dd10ff158e406ed1f9c9c8c1a7 | [
"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 | 32,236 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.homology.additive
import tactic.abel
/-!
# Chain homotopies
We define chain homotopies, and prove that homotopic chain maps induce the same map on ho... |
43407c31f31d1b130a83fc550736b3e95a9a251d | 1f6fe2f89976b14a4567ab298c35792b21f2e50b | /algebra/left_module.hlean | 6dfe619a74ad02665fa1ac7da0991f30200265b9 | [
"Apache-2.0"
] | permissive | jonas-frey/Spectral | e5c1c2f7bcac26aa55f7b1e041a81272a146198d | 72d521091525a4bc9a31cac859840efe9461cf66 | refs/heads/master | 1,610,235,743,345 | 1,505,417,795,000 | 1,505,417,795,000 | 102,653,342 | 0 | 0 | null | 1,504,728,483,000 | 1,504,728,483,000 | null | UTF-8 | Lean | false | false | 18,033 | hlean | /-
Copyright (c) 2015 Nathaniel Thomas. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Floris van Doorn
Modules prod vector spaces over a ring.
(We use "left_module," which is more precise, because "module" is a keyword.)
-/
import al... |
3d825b314d3ec2302cba440999d5e550a84eac8d | 0c1546a496eccfb56620165cad015f88d56190c5 | /library/init/util.lean | 20902ffe740983a45577f4155c2fbca5215a821e | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,059 | 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.data.string.basic
universe variables u
/- This function has a native implementation that tracks time. -/
def timeit {α : Type u} (s : s... |
3386d7761e8c818e7e24435839e540e02f1929ed | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Meta/Tactic/Assumption.lean | 21991f9bed205ab7450b79e8ca57b4843be9decf | [
"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 | 831 | 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.Meta.ExprDefEq
import Lean.Meta.Tactic.Util
namespace Lean
namespace Meta
def assumptionAux (mvarId : MVarId) : MetaM Bool :=
withMVarContext ... |
1921dbb5b2e9dd4cd23b27b11ed85065149fd3b9 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /group_theory/group_action.lean | 3af46182245a13fc05e6ddf92f26e280483d5b59 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 4,122 | 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.set.finite group_theory.coset
universes u v
variables {α : Type u} {β : Type v}
class is_monoid_action [monoid α] (f : α → β → β) : Prop :=
(one : ∀ a : β, ... |
e6f5b1da404f8485c0f941a15044b7b6454cfa4c | febba19712b2aefe4d6c7fb0230b8d7e272c98c4 | /src/realizers.lean | ec150f2a3b21e760a49e9301ed5780f9f2318dfd | [] | no_license | hcheval/formalized-proof-mining | e6eb980feb644ae269f43d9af93ac584b7a47a17 | 216cc73fccd84900a1ba7eaae5f73732496d6afe | refs/heads/master | 1,689,621,410,792 | 1,629,912,272,000 | 1,629,912,272,000 | 399,855,572 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,969 | lean | import proof
section realizers
variables {ι : Type} {gri : ground_interpretation ι}
local notation `𝔽` := formula ι gri
local notation `𝕋` := type ι gri
variables {greq : Π {i : ι}, ∥𝕏 i // gri ∥ → ∥𝕏 i // gri ∥ → 𝔽}
local infixr `≅` : 35 := formula.eqext @greq
namespace dia
section logical... |
f32a6126c19fc79f1f6e6a92eefcc135f1e52c94 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/ring_theory/witt_vector/is_poly.lean | 3c968c5d43c1ed35bd8f60caab2b4521c18c2378 | [
"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 | 23,405 | 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 algebra.ring.ulift
import ring_theory.witt_vector.basic
import data.mv_polynomial.funext
/-!
# The `is_poly` predicate
`witt_vector.is_poly... |
fafdf322b9be9c1a00a10eba90323efbba188c9d | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /src/aleph_one.lean | bc091441f546bcfced00222382c78484ad1e57eb | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 46,135 | lean | import .bvm_extras2
universes u v
namespace pSet
section
open cardinal
lemma regularity (x : pSet.{u}) (H_nonempty : ¬ equiv x (∅ : pSet.{u})) : ∃ (y : pSet) (Hy : y ∈ x), ∀ z ∈ x, ¬ (z ∈ y) :=
begin
have := is_epsilon_well_founded x,
cases exists_mem_of_nonempty H_nonempty with w Hw,
have := this x (subset_s... |
00b91897932c0bee501265795e2caaa222f4b3f4 | b73bd2854495d87ad5ce4f247cfcd6faa7e71c7e | /src/game/world2/level2.lean | ebb660199c43aaf91b2d8d246adb326e00e85faa | [] | no_license | agusakov/category-theory-game | 20db0b26270e0c95a3d5605498570273d72f731d | 652dd7e90ae706643b2a597e2c938403653e167d | refs/heads/master | 1,669,201,216,310 | 1,595,740,057,000 | 1,595,740,057,000 | 280,895,295 | 12 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 948 | lean | import category_theory.category.default
import category_theory.isomorphism
universes v u -- The order in this declaration matters: v often needs to be explicitly specified while u often can be omitted
namespace category_theory
variables (C : Type u) [category.{v} C]
--rewrite this
/-
# Category world
## Level 1:... |
2bf74b6f8bc4ebae864cd408cda7df08a1aa0304 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/interactive/my_tac_class.lean | c4c9a9bb3dfc576f212c1078104ad35739be3bdc | [
"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 | 1,779 | lean | meta def mytac :=
state_t nat tactic
meta instance : monad mytac :=
state_t.monad _ _
meta instance : monad.has_monad_lift tactic mytac :=
monad.monad_transformer_lift (state_t nat) tactic
meta instance (α : Type) : has_coe (tactic α) (mytac α) :=
⟨monad.monad_lift⟩
namespace mytac
meta def step {α : Type} (t : my... |
e8ec9d7861ea3c4b2d6bfda15bddc92afe45639e | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/buffer/basic.lean | 21ee942fc3d0f2a7dbf4ca45d8613cd174a0c5d5 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,220 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
General utility functions for buffers.
-/
import data.buffer
import data.array.lemmas
import control.traversable.instances
namespace buffer
open function
variables {α : Ty... |
93a3428abb263b415d3a3386a18de01e5068c1b0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/autoPPExplicit.lean | 7bbe4a9eb2f35ac605d6979d8757a65e70b5c258 | [
"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 | 63 | lean | def f {a b c : α} : a = c :=
Eq.trans (a := a) (b := b = c)
|
9d9588d10e7449c4dc0ae5d33146600e98a0ad5e | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/int/parity.lean | 4430f8e9541322db624d3c2533cbbb3ac088098a | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,822 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Benjamin Davidson
The `even` and `odd` predicates on the integers.
-/
import data.int.modeq
import data.nat.parity
namespace int
@[simp] theorem mod_two_ne_one {n : ℤ}... |
0bb5fcb56f8d7370e51efb9f4b89fb967a627afe | 14d3c04048fcbea3818a26103a6e4f1c99fc6c62 | /src/basic.lean | 1666a6fcb565d5af8e25c81c366eff100c2dbb40 | [] | no_license | gihanmarasingha/myint | 866a880ae7ade3de7d1e8550e6d2c4be94f1b85f | eba85880a500a7977cc4e23c9fa51877dfc82b58 | refs/heads/master | 1,682,793,960,074 | 1,619,541,459,000 | 1,619,541,459,000 | 360,702,700 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,516 | lean | import tactic
@[derive decidable_rel]
protected def myintrel : ℕ × ℕ → ℕ × ℕ → Prop := λ a b, a.1 + b.2 = b.1 + a.2
local infix `~` := myintrel
protected theorem myintrel.refl : ∀ n : ℕ × ℕ, n ~ n := λ n, rfl
protected theorem myintrel.symm : ∀ n m : ℕ × ℕ, n ~ m → m ~ n :=
λ n m h, by { dsimp [myintrel] at *, sy... |
66f383aeeb9e8fd2678efbcef00bc697fa5de16a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/System/ST.lean | 15b120b2bfb8c3b3ce6882d0107d16d8b600b921 | [
"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 | 4,558 | 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
-/
prelude
import Init.Classical
import Init.Control.EState
import Init.Control.Reader
def EST (ε : Type) (σ : Type) : Type → Type := EStateM ε σ
abbrev ST (σ... |
c756ecd3effa3029ebf35804b7fad72598cb8f3c | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Util/ReplaceLevel.lean | 119aedb690fdda3ad3d3341b3dc407afa28a96be | [
"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 | 3,376 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Expr
namespace Lean
namespace Level
partial def replace (f? : Level → Option Level) (u : Level) : Level :=
match f? u with
| some v => v
... |
62f87aa85e7f0127fe7a974336e3d8401a2eb652 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/dedekind_domain/adic_valuation.lean | 5098e9e5faf7911f65835c85f1a0444f712192fd | [
"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 | 15,506 | lean | /-
Copyright (c) 2022 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
-/
import ring_theory.dedekind_domain.ideal
import ring_theory.valuation.extend_to_localization
import ring_theory.valuation.valuation_su... |
27f86cb75d48706ae69b0b62ae04b09d7885e19e | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/analysis/normed_space/multilinear.lean | 3edcd74ff1da00de5d5c58ce03400352bc529626 | [
"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 | 57,146 | 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.normed_space.operator_norm
import topology.algebra.multilinear
/-!
# Operator norm on the space of continuous multilinear maps
When `f` is a c... |
d258820cd47c61097d0893f370289c5affa931a9 | 3d2a7f1582fe5bae4d0bdc2fe86e997521239a65 | /spatial-reasoning/spatial-reasoning-problem-08.lean | ca2f0c11c6360501b47caedb5989d4e16eb94be6 | [] | no_license | own-pt/common-sense-lean | e4fa643ae010459de3d1bf673be7cbc7062563c9 | f672210aecb4172f5bae265e43e6867397e13b1c | refs/heads/master | 1,622,065,660,261 | 1,589,487,533,000 | 1,589,487,533,000 | 254,167,782 | 3 | 2 | null | 1,589,487,535,000 | 1,586,370,214,000 | Lean | UTF-8 | Lean | false | false | 224 | lean | /- Spatial Reasoning Problem 08 -/
/- It can be found at: SpatialQs.txt -/
/- (8) Bob and Jane are at the mouth of a tunnel.
Bob travels through the tunnel.
Can Bob be closer to Jane than the length of the tunnel? -/
|
7a25f28b9a5042f0fb6f5252ede79c263f6b344c | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Init/Control/Option.lean | 5a36ff70141924d3dacf4b44f44110f724ddb9c3 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 2,308 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Data.Option.Basic
import Init.Control.Basic
import Init.Control.Except
universe u v
instance {α} : ToBool (Option α... |
32e6f291a1f5612326c761b07f5685deee0ae8d6 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/model_theory/satisfiability.lean | 1c1a693e6e45b208c0b90eefa700b334678fbd2b | [
"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 | 28,055 | lean | /-
Copyright (c) 2021 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import model_theory.ultraproducts
import model_theory.bundled
import model_theory.skolem
/-!
# First-Order Satisfiability
This file deals with the satisfiability of ... |
7ec86497bf16454b8b29a765fbaf075f4d102e4a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/genindices.lean | da00729e34d9e7071ec96a3fd3df301adeecf410 | [
"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 | 739 | lean | import Lean
universe u
inductive Pred : ∀ (α : Type u), List α → Type (u+1)
| foo {α : Type u} (l1 : List α) (l2 : List (Option α)) : Pred (Option α) l2 → Pred α l1
axiom goal : forall (α : Type u) (xs : List (List α)) (h : Pred (List α) xs), xs ≠ [] → xs = xs
open Lean
open Lean.Meta
def tst1 : MetaM Unit := do
l... |
f8adf28d6b8b7a4c5de90d84aab33703ea8c8cb5 | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/topology/bounded_continuous_function.lean | b2f783f5183e766778169ec9d198bb03d039b04b | [
"Apache-2.0"
] | permissive | FredericLeRoux/mathlib | e8f696421dd3e4edc8c7edb3369421c8463d7bac | 3645bf8fb426757e0a20af110d1fdded281d286e | refs/heads/master | 1,607,062,870,732 | 1,578,513,186,000 | 1,578,513,186,000 | 231,653,181 | 0 | 0 | Apache-2.0 | 1,578,080,327,000 | 1,578,080,326,000 | null | UTF-8 | Lean | false | false | 23,631 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Mario Carneiro
Type of bounded continuous functions taking values in a metric space, with
the uniform distance.
-/
import analysis.normed_space.basic topology.... |
d29fd7bb74261968835306415188370c750f74fa | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/calculus/inverse.lean | 548f4d24a7f14f28ebad2721f1bb85d1e10f0463 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,270 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Heather Macbeth, Sébastien Gouëzel
-/
import analysis.calculus.times_cont_diff
import analysis.normed_space.banach
import topology.local_homeomorph
import topology.me... |
7ce58f8c1fa8154df99fcf9964c048c3062ee82a | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/topology/metric_space/hausdorff_distance.lean | 4bd05cd29febb02555172d3e2d834127c7030667 | [
"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 | 32,515 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.isometry
import topology.instances.ennreal
import analysis.specific_limits
/-!
# Hausdorff distance
The Hausdorff distance on sub... |
9c7fefe317ecf5ed05ac4cc1c1202ed18ddc3f1d | 42610cc2e5db9c90269470365e6056df0122eaa0 | /library/data/real/basic.lean | 13f3bdf55c4a441571f799fe482b3bfba72ec7de | [
"Apache-2.0"
] | permissive | tomsib2001/lean | 2ab59bfaebd24a62109f800dcf4a7139ebd73858 | eb639a7d53fb40175bea5c8da86b51d14bb91f76 | refs/heads/master | 1,586,128,387,740 | 1,468,968,950,000 | 1,468,968,950,000 | 61,027,234 | 0 | 0 | null | 1,465,813,585,000 | 1,465,813,585,000 | null | UTF-8 | Lean | false | false | 42,450 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
The real numbers, constructed as equivalence classes of Cauchy sequences of rationals.
This construction follows Bishop and Bridges (1985).
The construction of the rea... |
9ef51e58bd66ac0ce443c35445d3391dfd547f60 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebra/lie/normalizer.lean | e5a30f89fef4d07a4c8153a5ad4310e385652bf7 | [
"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 | 6,494 | 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 algebra.lie.abelian
import algebra.lie.ideal_operations
import algebra.lie.quotient
/-!
# The normalizer of a Lie submodules and subalgebras.
Given a Lie module `M... |
cc9393947b4503f8949957e66cacb2e4c40d9021 | 42610cc2e5db9c90269470365e6056df0122eaa0 | /hott/hit/set_quotient.hlean | 5b0574174fbcf37f44c7ab5d228fdf2d1288a561 | [
"Apache-2.0"
] | permissive | tomsib2001/lean | 2ab59bfaebd24a62109f800dcf4a7139ebd73858 | eb639a7d53fb40175bea5c8da86b51d14bb91f76 | refs/heads/master | 1,586,128,387,740 | 1,468,968,950,000 | 1,468,968,950,000 | 61,027,234 | 0 | 0 | null | 1,465,813,585,000 | 1,465,813,585,000 | null | UTF-8 | Lean | false | false | 5,761 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of set-quotients, i.e. quotient of a mere relation which is then set-truncated.
-/
import function algebra.relation types.trunc types.eq hit.quotient
... |
150532815bc026a03065ec5f27424b0b9fb36802 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/vector2.lean | f1d86856542d56990a472d3475e2c7d7f12d9d20 | [
"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 | 389 | lean | import logic data.nat.basic
open nat
inductive vector (A : Type) : nat → Type :=
| vnil : vector A zero
| vcons : Π {n : nat}, A → vector A n → vector A (succ n)
namespace vector
theorem vcons.inj₁ {A : Type} {n : nat} (a₁ a₂ : A) (v₁ v₂ : vector A n) : vcons a₁ v₁ = vcons a₂ v₂ → a₁ = a₂ :=
assume h, vector.no_... |
611fc4d8fc843b999ce21b0f5fd6e36db57fdcc6 | efa51dd2edbbbbd6c34bd0ce436415eb405832e7 | /20161026_ICTAC_Tutorial/ex39.lean | 71426d1d50244f9183a84b7404583290984219c6 | [
"Apache-2.0"
] | permissive | leanprover/presentations | dd031a05bcb12c8855676c77e52ed84246bd889a | 3ce2d132d299409f1de269fa8e95afa1333d644e | refs/heads/master | 1,688,703,388,796 | 1,686,838,383,000 | 1,687,465,742,000 | 29,750,158 | 12 | 9 | Apache-2.0 | 1,540,211,670,000 | 1,422,042,683,000 | Lean | UTF-8 | Lean | false | false | 606 | lean | open classical
variables p q : Prop
check em p
theorem dne {p : Prop} (h : ¬¬p) : p :=
or.elim (em p)
(assume hp : p, hp)
(assume hnp : ¬p, absurd hnp h)
/- For a constructivist ¬¬p means "p is non-contradictory" -/
example (h : ¬¬p) : p :=
by_cases
(assume h1 : p, h1)
(assume h1 : ¬p, absurd h1 h)
exampl... |
6e9f0b29bf1ce65a44bcd56f313707ea12f121bf | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/category/fgModule/basic.lean | 6ea72337a70247bd5690874cd0fefdbce0ebd664 | [
"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 | 7,032 | lean | /-
Copyright (c) 2021 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer
-/
import category_theory.monoidal.rigid.basic
import category_theory.monoidal.subcategory
import linear_algebra.coevaluation
import algebra.category.Module.monoidal... |
4444a825e2b0dfe283f86d5a4d9b7a17ee7f623d | 618003631150032a5676f229d13a079ac875ff77 | /test/library_search/basic.lean | f778d10e347b93e29658f078fcee63863d849ccc | [
"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 | 6,527 | 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 data.nat.basic
/- Turn off trace messages so they don't pollute the test build: -/
set_option trace.silence_library_search true
/- For debugging purposes, we ... |
62873cdec79ba13e8060b948b1f3e8140fb76143 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /src/builtin/num.lean | 646dfc65077a2b858bd5070c229b7525d488f475 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,637 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import macros subtype tactic
using subtype
namespace num
theorem inhabited_ind : inhabited ind
-- We use as the witness for non-emptiness, the value w in... |
468dc32214b81eada1b2dc3543060f1effa0d365 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/vector.lean | a02d78c6dbbc0c19a31c9498aed61523e0b0e7b2 | [
"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 | 4,886 | lean | import logic data.nat.basic data.prod data.unit
open nat prod
inductive vector (A : Type) : nat → Type :=
| vnil {} : vector A zero
| vcons : Π {n : nat}, A → vector A n → vector A (succ n)
namespace vector
-- print definition no_confusion
infixr `::` := vcons
local abbreviation no_confusion := @vector.no_co... |
64b3c3adfb184a3818627cf8104eb7ee2587f937 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Server/Rpc/RequestHandling.lean | 1f11482aaffcfadc4f38b755a1584c2fec95e50f | [
"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 | 5,511 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki
-/
import Lean.Data.Lsp.Extra
import Lean.Server.Requests
import Lean.Server.Rpc.Basic
namespace Lean.Server
private structure RpcProcedure where
wrapper... |
4bf3710df293752cd471dd3eb2e5d004e15b2769 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/constructions.lean | c7f021430b5497321812008d4296e213485306c7 | [
"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 | 54,680 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import topology.maps
import order.filter.pi
import data.fin.tuple
/-!
# Constructions of new topological spaces from old ones
This f... |
fb896d43530acf8a35f8b7d75b8cb9af43d7eb8d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/shapes/normal_mono/basic.lean | 8d9883af5c44bdd07bd94682f3e6732171ce6115 | [
"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 | 10,606 | 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.regular_mono
import category_theory.limits.shapes.kernels
import category_theory.limits.preserves.basic
/-!
# Defi... |
ed7bffd3d5a07b955ffed36a8b0351d5b0cf2df6 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/algebra/archimedean.lean | 3f202592b34d388a34dba91b15b1b80234d03731 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 10,109 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Archimedean groups and fields.
-/
import algebra.group_power algebra.field_power algebra.floor
import data.rat tactic.linarith
variables {α : Type*}
open_locale add_m... |
ac9af2775fdbf7897b5aac4f662522ba1fd2f9fd | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/number_theory/padics/padic_integers.lean | bc01f1cb73a1a5d0884b2b37c56dbe457e037a8c | [
"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 | 20,816 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Mario Carneiro, Johan Commelin
-/
import data.int.modeq
import data.zmod.basic
import number_theory.padics.padic_numbers
import ring_theory.discrete_valuation_ring
im... |
65a20119ce70a9f880e75100ce94590c4094bd4d | 439bc6c3e74a118aa51df633b8e1f24415804d86 | /category.lean | 6aecc608170934037308f619a3e696bdc32a89d9 | [] | 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 | 541 | lean | class category (obj : Type u) : Type (max u (v+1)) :=
(hom : obj → obj → Type v)
(infixr ` ⟶ `:10 := hom)
(id : Π X : obj, X ⟶ X)
(notation `𝟙` := id)
(comp : Π {X Y Z : obj}, (X ⟶ Y) → (Y ⟶ Z) → (X ⟶ Z))
(infixr ` ≫ `:80 := comp)
(id_comp' : ∀ {X Y : obj} (f : X ⟶ Y), 𝟙 X ≫ f = f . obviously)
(comp_id... |
a030050fe62cfa681a488e536cca4495f9fe9fea | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/inaccessibleAnnotDefEqIssue.lean | 8ce021305f5beb0086472210f8ee723831336a99 | [
"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 | 283 | lean | example : Int → Nat
| (_ : Nat) => 0
| Int.negSucc n => 0
protected theorem Int.add_comm : ∀ a b : Int, a + b = b + a
| (n : Nat), (m : Nat) => sorry
| (_ : Nat), Int.negSucc _ => rfl
| Int.negSucc _, (_ : Nat) => rfl
| Int.negSucc _, Int.negSucc _ => sorry
|
00d2ab0895c56ee0ec9bb234daed2a3cacf9b146 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/traceStateBactracking.lean | 921bf8da8008990c2296b30c8d5265411d5233bf | [
"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 | 166 | lean | example (h : 0 = 1) : False := by
first | trace_state; fail | contradiction
example (h : 0 = 1) : False := by
first | trace "first branch"; fail | contradiction
|
2497de90aea37270921cfb9256bd4e0d5a74b122 | 24cea0681d40a3d3a2fd112c35ce26dfe9e2dd1c | /src/relax/disintegration.lean | 50b2dbcb5cd82171e220f977ea8fdd0e4679f86c | [
"Apache-2.0"
] | permissive | jtristan/FormalML | 4119809fd728bd0e6ffe2e4961e1a2dfdc1b7864 | b9f54593c7f2badde15953de876ee214e23b34a0 | refs/heads/master | 1,668,672,921,807 | 1,594,691,391,000 | 1,594,691,391,000 | 279,452,890 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,964 | lean | /-
Copyright © 2020, Oracle and/or its affiliates. All rights reserved.
-/
import .relax
local attribute [instance] classical.prop_decidable
open set
namespace relax
variables (μ: probability_measure ℍ)
noncomputable
def maj_code (u: ℍ × ℍ): (ℍ × ℕ) :=
let u1 := u.fst in
let u2 := u.snd in
let theta := g... |
824e371ecbbc70bcd6972e0cef8d72711cbdd676 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/order/filter/basic.lean | dc28ffccfcfe1d50e51b439090026ec32b692a42 | [
"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 | 117,407 | 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
-/
import data.set.finite
import order.copy
import order.zorn
import tactic.monotonicity
/-!
# Theory of filters on sets
## Main definitions
* `filter`... |
87b21a341dfd69a009e2008ba905fdb2f1d615d2 | 9cb9db9d79fad57d80ca53543dc07efb7c4f3838 | /src/pseudo_normed_group/CLC.lean | 24391434f9ad2ee2e6cfc5ef8412532f1c41af06 | [] | no_license | mr-infty/lean-liquid | 3ff89d1f66244b434654c59bdbd6b77cb7de0109 | a8db559073d2101173775ccbd85729d3a4f1ed4d | refs/heads/master | 1,678,465,145,334 | 1,614,565,310,000 | 1,614,565,310,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,286 | lean | import pseudo_normed_group.LC
import locally_constant.Vhat
open_locale classical nnreal
noncomputable theory
local attribute [instance] type_pow
open NormedGroup opposite Profinite pseudo_normed_group category_theory breen_deligne
open profinitely_filtered_pseudo_normed_group
universe variable u
variables (r : ℝ≥0) ... |
a74a48ee10e26267ea2c3d95d9d6f585307bb058 | 92bfaf170880e47d55bf51d5a782fffd76db2f5f | /melting_point/graph.lean | 37faa4c1e3bda7f94f8bac9b4f5080d384c47086 | [] | no_license | forked-from-1kasper/melting_point | d33403e1985d876a2c7c06859962cc0c37570189 | e5ea4a0917de086b7e5b122e8d5aa90d2761d147 | refs/heads/master | 1,624,785,375,577 | 1,618,305,367,000 | 1,618,305,367,000 | 222,729,018 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,467 | lean | import melting_point.core
namespace melting_point.graph
universes u v
def nat.cases {α : Sort u} (zero : α) (succ : α → α) : ℕ → α
| 0 := zero
| (n + 1) := succ (nat.cases n)
inductive ord
| zero
| succ : ord → ord
| lim : (ℕ → ord) → ord
def ord.add : ord → ord → ord
| ord.zero y := y
| (ord.succ x) y :... |
a942edd0dafd12a2ea199a9bedeb469009b6fb8d | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/rw_set3.lean | e96522db7f8a2c452de0b712dbc6ffb230878069 | [
"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 | 217 | lean | open tactic nat
constant f : nat → nat
constant g : nat → nat
axiom foo : ∀ x, f x = 1
axiom bla : ∀ x, f x = 2
attribute [simp] foo
attribute [simp] bla
print [simp] default
example : f 5 = 2 := by simp
|
06e07ae839fda45b276d6e848b9f70ee511e5d8c | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/matrix/zpow.lean | 70ea8d648dac7722998d4d8b2458e64137f37ba0 | [
"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 | 12,436 | lean | /-
Copyright (c) 2021 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import linear_algebra.matrix.nonsingular_inverse
/-!
# Integer powers of square matrices
In this file, we define integer power of matrices, relying on
the nonsing... |
35a2ce0707686a5e043d2fa765e692287698da08 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/category/Group/biproducts.lean | 77988d003a749a9ce998ce4dc2a54395bfa2f837 | [
"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 | 3,608 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.group.pi
import algebra.category.Group.preadditive
import category_theory.limits.shapes.biproducts
import algebra.category.Group.limits
/-!
# The cate... |
947b5b3c302a1caeb3a5d877f33b116b2f96b0b1 | 9e90bb7eb4d1bde1805f9eb6187c333fdf09588a | /src/stump/setup_definition.lean | 1d6f83a297ac1fa095fcced9b69fd2f87433fdf1 | [
"Apache-2.0"
] | permissive | alexjbest/stump-learnable | 6311d0c3a1a1a0e65ce83edcbb3b4b7cecabb851 | f8fd812fc646d2ece312ff6ffc2a19848ac76032 | refs/heads/master | 1,659,486,805,691 | 1,590,454,024,000 | 1,590,454,024,000 | 266,173,720 | 0 | 0 | Apache-2.0 | 1,590,169,884,000 | 1,590,169,883,000 | null | UTF-8 | Lean | false | false | 959 | lean | /-
Copyright © 2019, Oracle and/or its affiliates. All rights reserved.
-/
import measure_theory.measurable_space
import measure_theory.borel_space
import topology.instances.nnreal
import ..lib.basic
import ..lib.util
namespace stump
notation `ℍ` := nnreal
noncomputable
instance meas_ℍ: measurable_space ℍ :=
begin
... |
d4da6ff6bda8ac44170e43138898e2169c795cb9 | 43dcf09a5df9dc4729cdc024e8680eeaacd05af3 | /order.lean | 0e46a1b074ed88fe72c31f196da4d16254e035ac | [] | no_license | khoek/lmath | f9ea911aabee1eb276a5319e70a5e62e6bfe8fb1 | a4f35205e6b5a3f16926234bf8eb7f7b5f56e47f | refs/heads/master | 1,611,452,778,710 | 1,532,531,556,000 | 1,532,569,670,000 | 122,820,532 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 331 | lean |
structure order (α : Type) := mk ::
(sim : α → α → Prop)
(h_refl : ∀ a : α, sim a a)
(h_antisymm : ∀ a b : α, sim a b ∧ sim b a → a = b)
(h_trans : ∀ a b c : α, sim a b → sim b c → sim a b)
structure total_order (α : Type) extends order α := mk ::
(h_total : ∀ a b : α, sim a b ∨ sim b a) |
82d73064eb5b31e34290c1288965ab3daf79c382 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/infinite_sum_auto.lean | 0629b58b1387a73a9b413b46d7dfbbc0a4fd0724 | [] | 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 | 54,545 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.big_operators.intervals
import Mathlib.topology.instances.real
import Mathlib.topol... |
e6463b762f9b7f5b817b04ffba2f1098d0463f20 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/zsqrtd/to_real.lean | 64efbd5a493870437de783dba30da53c77a2409e | [
"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 | 846 | 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 data.real.sqrt
import data.zsqrtd.basic
/-!
# Image of `zsqrtd` in `ℝ`
This file defines `zsqrtd.to_real` and related lemmas.
It is in a separate file to avoid pul... |
7357b7203305bb92aabec619b5887a1e9e7f6c86 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/equiv/ring_aut.lean | 42dbccc8a7e741faf7ba4e7c9b4224e0da91d3a1 | [
"Apache-2.0"
] | permissive | robertylewis/mathlib | 3d16e3e6daf5ddde182473e03a1b601d2810952c | 1d13f5b932f5e40a8308e3840f96fc882fae01f0 | refs/heads/master | 1,651,379,945,369 | 1,644,276,960,000 | 1,644,276,960,000 | 98,875,504 | 0 | 0 | Apache-2.0 | 1,644,253,514,000 | 1,501,495,700,000 | Lean | UTF-8 | Lean | false | false | 2,178 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import data.equiv.mul_add_aut
import data.equiv.ring
/-!
# Ring automorphisms
This file defines the automorphism group structure on ... |
8ed77812b1d2458ae8eccb1f42b50b26317c0755 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/ring_theory/ring_invo.lean | 061d9a836cf933b6517bdadd6c126bd87e2a7f45 | [
"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 | 2,028 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow, Kenny Lau
-/
import data.equiv.ring
import algebra.opposites
/-!
# Ring involutions
This file defines a ring involution as a structure extending `R ≃+* Rᵒᵖ`,
with... |
408a719aa27cd33e36586b060721c0704692cfe5 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch3/ex0305.lean | 166ed16f5849c1a16067deb53bc2c07b6506b79a | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 83 | lean | variables p q : Prop
variables (hp : p) (hq : q)
#check (⟨hp, hq⟩ : p ∧ q)
|
adcc2f42958b388b62d8dd904b36dcb94e4d10e5 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/set_theory/surreal/basic.lean | 1781d11f732772046566b232ff79267809763336 | [
"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 | 13,910 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Scott Morrison
-/
import algebra.order.hom.monoid
import set_theory.game.ordinal
/-!
# Surreal numbers
The basic theory of surreal numbers, built on top of the theor... |
8bc4e2d1ac279bcfff4f558730ad8549c4715da1 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /04_Quantifiers_and_Equality.org.14.lean | 57d89534cc4115f9ae50511ade20f0f7ae2347d8 | [] | 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 | 246 | lean | /- page 52 -/
import standard
import data.nat data.prod
open nat prod
variables (A B : Type)
-- BEGIN
example (f : A → B) (a : A) : (λ x, f x) a = f a := rfl
example (a : A) (b : A) : pr1 (a, b) = a := rfl
example : 2 + 3 = 5 := rfl
-- END
|
f9e5f39fdee8836977edcde04989d60dc1a4866f | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/analysis/convex/basic.lean | c1189b597d8218625f4e145cd2a7f22ad51f076d | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 57,804 | 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.set.intervals.ord_connected
import data.set.intervals.image_preimage
import data.complex.module
import linear_algebra.affine_spac... |
f9c2729bdb027c1cd5e4f7b70f39115149279eb4 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/LeanExt.lean | 79c201f02b981ccea9428fb77d5e61839625fac7 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,298 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.String.Basic
import Init.Data.UInt
namespace Lean
/-
Basic Lean types used to implement basic extensions.
Note that this file is p... |
7a7787e44e43860ddd8c05c07652bac4f5884d1f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/pnat/find.lean | 80ba4eafd2f56f47fcec330a820662d12ea9f2b9 | [
"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 | 3,988 | lean | /-
Copyright (c) 2022 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky, Floris van Doorn
-/
import data.pnat.basic
/-!
# Explicit least witnesses to existentials on positive natural numbers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> A... |
9c9c303daaa9de9028fee5cfd6ed4b8d99b927b9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/divisors.lean | f069d24981d6093ac4d9c7dd771827c8586433a4 | [
"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 | 16,356 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import algebra.big_operators.order
import data.nat.interval
import data.nat.factors
/-!
# Divisor finsets
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes t... |
618b4efad379795f5d564de9ce6a124b41a8f230 | e61a235b8468b03aee0120bf26ec615c045005d2 | /stage0/src/Init/Data/RBMap/Basic.lean | 52af33ea028607ada6440ea75a1fbbd4eef604db | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,736 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.Repr
import Init.Data.Option.Basic
universes u v w w'
inductive Rbcolor
| red | black
inductive RBNode (α : Type u) (β : α → Typ... |
8a5a2df7b72ffd48e8637906ddc01743dfa65d17 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Init/Data/Float.lean | 014f3a5647f7b644811b0151058ca7eda5708221 | [
"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 | 3,711 | 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
-/
prelude
import Init.Core
import Init.Data.ToString.Basic
structure FloatSpec :=
(float : Type)
(val : float)
(lt : float → float → Prop)
(le ... |
6192c171119cb48eb0aa42c1a0ec9343835e5ceb | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/measure_theory/pi_system.lean | 966bb5c5913ba716727758234977196d8808edae | [
"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 | 21,378 | lean | /-
Copyright (c) 2021 Martin Zinkevich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Martin Zinkevich
-/
import measure_theory.measurable_space_def
import data.equiv.encodable.lattice
/-!
# Induction principles for measurable sets, related to π-syste... |
7427f3e0aa273300493cb7b32d2e4712bffeac64 | 76c77df8a58af24dbf1d75c7012076a42244d728 | /src/ch7.lean | bf81dc22e1634bfb8eaf17dcf3af1ade5e2dcaa8 | [] | no_license | kris-brown/theorem_proving_in_lean | 7a7a584ba2c657a35335dc895d49d991c997a0c9 | 774460c21bf857daff158210741bd88d1c8323cd | refs/heads/master | 1,668,278,123,743 | 1,593,445,161,000 | 1,593,445,161,000 | 265,748,924 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 16,281 | lean | import tactic
-- Section 7.1: Enumerated Types
namespace s71
inductive weekday : Type
| sunday : weekday
| monday : weekday
| tuesday : weekday
| wednesday : weekday
| thursday : weekday
| friday : weekday
| saturday : weekday
#check weekday.sunday
#check weekday.monday
open weekday
#check s... |
ae175a92b63423551ff81fb0c05da352a0ed88aa | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/refine2.lean | 1694579422658bc6a6ba5663bb72bb91bde50fa4 | [
"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 | 157 | lean | import logic
example {A : Type} (f : A → A) (a b : A) : f a = b → f (f a) = f b :=
begin
intro fa_eq_b,
refine (congr_arg f _),
exact fa_eq_b
end
|
7cfabbd4bb4a56c8226d4a5c607ded43c6c22b5a | 75bd9c50a345718d735a7533c007cf45f9da9a83 | /src/data/mv_polynomial/basic.lean | 70ddb3f7ebf7c6195596a8d48861ff6298fbd8dd | [
"Apache-2.0"
] | permissive | jtbarker/mathlib | a1a3b1ddc16179826260578410746756ef18032c | 392d3e376b44265ef2dedbd92231d3177acc1fd0 | refs/heads/master | 1,671,246,411,096 | 1,600,801,712,000 | 1,600,801,712,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,623 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro
-/
import data.polynomial.eval
/-!
# Multivariate polynomials
This file defines polynomial rings over a base ring (or even semiring),
... |
8f6f3abac6b8e2c436af3be6497866ff6573f06e | 0d9b0a832bc57849732c5bd008a7a142f7e49656 | /src/soko_level29.lean | c7c8d4e9a44b795fa1a07152bfd5e9ea4d0634c5 | [] | no_license | mirefek/sokoban.lean | bb9414af67894e4d8ce75f8c8d7031df02d371d0 | 451c92308afb4d3f8e566594b9751286f93b899b | refs/heads/master | 1,681,025,245,267 | 1,618,997,832,000 | 1,618,997,832,000 | 359,491,681 | 10 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,625 | lean | import .sokolevel
def soko_level_29 := sokolevel.from_string "
#####
# ##
# $ #########
## # # ######
## # $#$#@ # #
# # $ # $ #
# ### ######### ##
# ## ..*..... # ##
## ## *.*..*.* # ##
# $########## ##$ #
# $ $ $ $ #
# # # # # #
################... |
0217e011e2fdaea3225453dd681932b79148ae1d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/linear_pmap.lean | 9362c87be5b207059479bdda2a88911f93e8f1aa | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 16,691 | lean | /-
Copyright (c) 2020 Yury Kudryashov All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import linear_algebra.basic
import linear_algebra.prod
/-!
# Partially defined linear maps
A `linear_pmap R E F` is a linear map from a submodule of `E` to `F`. We... |
4c8a1b8c05a78e6a9be131182b904e134026ad91 | 9db059bff49b1090a86ec0050ac6c577eb16ac67 | /src/meetings/analysis.lean | e3f93e6b94acbe8c0ea4afb90e775119367a374f | [] | no_license | fpvandoorn/Harvard-tutoring | d64cd75c4c529009ee562c30e9cb245fe237e760 | a8846c08e32cdc7b91a7e28adfa5d9b2810088b0 | refs/heads/master | 1,680,870,428,641 | 1,617,022,194,000 | 1,617,022,194,000 | 330,297,467 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,347 | lean | import analysis.special_functions.trigonometric
import analysis.special_functions.integrals
import analysis.calculus.lhopital
open set real topological_space measure_theory
open_locale real topological_space big_operators ennreal
/-
# Analysis in Lean
-/
example : deriv (λ x : ℝ, x^2) 2 = 4 := by norm_num
example (... |
1262f76567da376d03155b66b9a4722112879781 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/sym2.lean | 4cdc4b912aad40bedbbb214fbd87077b64e7eca0 | [
"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 | 13,869 | lean | /-
Copyright (c) 2020 Kyle Miller All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kyle Miller.
-/
import tactic.linarith
import data.sym
open function
open sym
/-!
# The symmetric square
This file defines the symmetric square, which is `α × α` modulo
swapping. This i... |
8f580ea9bc559257c5adf5cd8a156b14daff160c | 761fea1362b10b4c588c2dfc0ae90c70b119e35d | /src/dump.lean | 2ae437a56d1c1ab25cba463a2e58104f1244a5f0 | [] | no_license | holtzermann17/mm-lean | 382a29fca5245f97cf488c525ed0c9594917f73b | a9130d71ed448f62df28d4128043b707bad85ccd | refs/heads/master | 1,588,477,413,982 | 1,553,885,046,000 | 1,553,885,046,000 | 178,404,617 | 0 | 0 | null | 1,553,863,829,000 | 1,553,863,828,000 | null | UTF-8 | Lean | false | false | 1,865 | lean | import imports mathematica system.io
open native tactic mathematica
meta def gen_thm : tactic $ list (name × expr) :=
do env ← get_env,
return $ env.fold []
(λ dcl l,
match dcl with
| declaration.defn nm _ tp val _ tt := (nm, tp) :: l
| declaration.thm nm _ tp val := (nm, tp) :: l
| _ := l
... |
2c82acc23c5f9f0a8b971ba74fe815a133cf3fb4 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/computability/primrec.lean | 7e24e71db4b10e605363a591132bf07a7b39c5d5 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 51,998 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.equiv.list
/-!
# The primitive recursive functions
The primitive recursive functions are the least collection of functions
`nat → nat` which are closed u... |
e01da55ddd400e22e920b9403cd66b3f6aba329f | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /Papyrus/Script/Instructions.lean | 57293fca05da225609d724c6783f6751d2aec93c | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,645 | lean | import Lean.Parser
import Papyrus.Builders
import Papyrus.Script.Do
import Papyrus.Script.Type
import Papyrus.Script.Value
import Papyrus.Script.ParserUtil
namespace Papyrus.Script
open Builder Lean Parser Term
@[runParserAttributeHooks]
def syncscope :=
nonReservedSymbol "syncscope " true >> "(" >> termParser >> "... |
951f4f0a033f13c747e5aee388369ecde5fe62ad | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/prop_logic_theory/unnamed_214.lean | b272d28ed91b155b15a642a982395e7df0a74f30 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 115 | lean | variables p q r : Prop
-- BEGIN
example (h : (p ∧ q) ∧ r) : q :=
begin
show q, from (h.left).right
end
-- END |
5f6efd69b1b8d9f4bd896275ff5cbd45bf919de2 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/generalizeTelescope.lean | 2cac11e6541f0aa5c07468a9f11e37bd8412be93 | [
"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 | 1,439 | lean | import Lean
new_frontend
open Lean
open Lean.Meta
inductive Vec (α : Type) : Nat → Type
| nil : Vec α 0
| cons {n} : α → Vec α n → Vec α (n+1)
set_option trace.Meta.debug true
def nat := mkConst `Nat
def succ := mkConst `Nat.succ
def tst1 : MetaM Unit :=
withLocalDeclD `n nat $ fun n => do
let n1 := mkApp ... |
3b90fb06f8f872a6125de8d74ea3b96d084e89ae | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Server/FileWorker.lean | ad33da466794c9ff5557776a9debf489dd7ad741 | [
"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 | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 23,238 | 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 Lean.Data.RBMap
import Lean.Environment
import Lean.Data.Lsp
import Lean.Data.Json.FromToJson
import Lean.Util.Paths... |
732491e9a666d55376aa15c145738870f56f532c | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/linear_algebra/tensor_product.lean | 6b89a08161cca555dd71fff9479557094de6c182 | [
"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 | 43,408 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro
-/
import group_theory.congruence
import algebra.module.submodule.bilinear
/-!
# Tensor product of modules over commutative semirings.
This file constructs the ... |
add58e69abe389dfdf32cbf0e39ddd0922a58cd9 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/linterSuspiciousUnexpanderPatterns.lean | 3dc3961b94ed681009c6213ba239173192bb7fce | [
"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 | 376 | lean | import Lean
set_option linter.suspiciousUnexpanderPatterns true
@[appUnexpander List.nil] def unexpandListNilBad : Lean.PrettyPrinter.Unexpander
| `(List.nil) => `([])
| _ => throw ()
/--hey-/
@[appUnexpander List.cons] private def unexpandListConsBad : Lean.PrettyPrinter.Unexpander
| `(List.cons $x []) ... |
e7f2c8068b1980916e6b0920c5382c4d3650ea1c | d5bef83c55d40cb88f9a01b755c882a93348a847 | /library/init/data/fin/basic.lean | 148c96e66df3b897dc62ee23c5e9fe3632cf8a59 | [
"Apache-2.0"
] | permissive | urkud/lean | 587d78216e1f0c7f651566e9e92cf8ade285d58d | 3526539070ea6268df5dd373deeb3ac8b9621952 | refs/heads/master | 1,660,171,634,921 | 1,657,873,466,000 | 1,657,873,466,000 | 249,789,456 | 0 | 0 | Apache-2.0 | 1,585,075,263,000 | 1,585,075,263,000 | null | UTF-8 | Lean | false | false | 1,534 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.data.nat.basic
open nat
/-- `fin n` is the subtype of `ℕ` consisting of natural numbers strictly smaller than `n`. -/
def fin (n : ℕ) :=... |
c5e95b049e426d47581b15acbc81863d535ef554 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/pred_logic/unnamed_610.lean | cc56303d668cddaed997bd9a0b3781acb4a978a4 | [] | no_license | gihanmarasingha/mth1001_sphinx | 190a003269ba5e54717b448302a27ca26e31d491 | 05126586cbf5786e521be1ea2ef5b4ba3c44e74a | refs/heads/master | 1,672,913,933,677 | 1,604,516,583,000 | 1,604,516,583,000 | 309,245,750 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 723 | lean | import tactic.interactive
variables (U : Type*) (S T : U → Prop)
-- BEGIN
example (h₁ : ∃ x, S x ∧ T x) : ∃ y, S y :=
begin
have h₂ : ∀ y, S y ∧ T y → ∃ y, S y, -- We'll show `h₂ : ∀ y, S y ∧ T y → ∃ y, S y`.
{ assume u : U, -- Assume `u : U`. It suffices to prove `S u ∧ T u → ∃ y, S y`.
assume k₁ : S u ∧ T u, ... |
ae9760a984664378d42dd9d48c9abe86e3acfea8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/idempotents/functor_categories.lean | 3df7fa5b83120d52b9a50f2b3835493484637635 | [
"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 | 5,667 | 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
/-!
# Idempotent completeness and functor categories
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require... |
d32491c1c4ca3a501f23a0f87bdfb56ee5aa6fad | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/algebra/classical_lie_algebras.lean | 9bdd8a6480959f28b61cf71387d8981ae07adc67 | [
"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 | 2,970 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.lie_algebra
import linear_algebra.matrix
/-!
# Classical Lie algebras
This file is the place to find definitions and basic properties of the classical Lie ... |
7a918ef677747cf2c4037c25545e867d7ad35efb | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/tactic/dependencies.lean | cb8b07db811617d4e726bf9dd05ad035561efe7e | [
"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 | 30,414 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import tactic.core
/-!
# Tactics About Dependencies
This module provides tactics to compute dependencies and reverse dependencies of
hypotheses. An expression `e` d... |
80b63960473801432cf8a46c5c559fb39ad6a87c | 5d76f062116fa5bd22eda20d6fd74da58dba65bb | /src/snarks/pinocchio/knowledge_soundness.lean | 339f2e9b8f1947f5787ef5276ecd5a974d443955 | [] | no_license | brando90/formal_baby_snark | 59e4732dfb43f97776a3643f2731262f58d2bb81 | 4732da237784bd461ff949729cc011db83917907 | refs/heads/master | 1,682,650,246,414 | 1,621,103,975,000 | 1,621,103,975,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,821 | lean | /-
Author: Bolton Bailey
-/
import data.mv_polynomial.basic
import data.polynomial.div
import data.polynomial.field_division
import algebra.polynomial.big_operators
import .vars
/-!
# Knowledge Soundness
This file proves the knowledge-soundness property of the second, refined protocol described in the Pinocchio paper... |
fe34abf3def3b293bab0728d94d00209ae0844de | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/matrix/basic.lean | d440024db7b804792189f4ab78facd58d3bacb62 | [
"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 | 54,448 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin
-/
import algebra.big_operators.pi
import algebra.module.pi
import algebra.module.linear_map
import algebra.big_operator... |
25afc4882ab22b6f93182770f74394c0cfb07991 | a8c03ed21a1bd6fc45901943b79dd6574ea3f0c2 | /prover_state.lean | aa14d5a7af67a4fcca5090acc9361e2b1307193d | [] | no_license | gebner/resolution.lean | 716c355fbb5204e5c4d0c5a7f3f3cc825892a2bf | c6fafe06fba1cfad73db68f2aa474b29fe892a2b | refs/heads/master | 1,601,111,444,528 | 1,475,256,701,000 | 1,475,256,701,000 | 67,711,151 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,900 | lean | import clause lpo cdcl_solver
open tactic monad expr
meta structure locked_cls :=
(id : name)
(c : clause)
(assertions : list expr)
(reasons : list (list expr))
namespace locked_cls
meta instance : has_to_tactic_format locked_cls :=
⟨λc, do
c_fmt ← pp c↣c,
ass_fmt ← pp (c↣assertions↣for (λa, a↣local_type)),
reasons_... |
90c1084149624eccabb4d6a2780f23e034f107fd | 6e41ee3ac9b96e8980a16295cc21f131e731884f | /tests/lean/slow/nat_wo_hints.lean | 07c200530bb43ae705133aec7e447307a77b64ef | [
"Apache-2.0"
] | permissive | EgbertRijke/lean | 3426cfa0e5b3d35d12fc3fd7318b35574cb67dc3 | 4f2e0c6d7fc9274d953cfa1c37ab2f3e799ab183 | refs/heads/master | 1,610,834,871,476 | 1,422,159,801,000 | 1,422,159,801,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49,588 | lean | ----------------------------------------------------------------------------------------------------
-- 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
-----------------------------------------------------------... |
696c5720e1e46965dcbe586edce4e74f6d2b9183 | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /src/Lean/Meta/DiscrTree.lean | bcb23418123c2fa19514ebf2d1dc578058da3d8d | [
"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 | 15,478 | 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.Meta.Basic
import Lean.Meta.FunInfo
import Lean.Meta.InferType
namespace Lean.Meta.DiscrTree
/-
(Imperfect) discrimination trees.
We use a ... |
3f3d45fb94bd2e86343397e8da1d2ecf77cf5a7e | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Mathlib/Ext.lean | 3e91386c13c463fbd6ef9384dfe629a1354d3f3e | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 1,204 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.Translate.Tactic.Basic
import Mathport.Syntax.Translate.Tactic.Mathlib.RCases
open Lean
namespace Mathport.Translate.Tactic
open AST3 ... |
3a4bbfd24aaaf02b1683ead4889e6608a3ce8043 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/integral_closure.lean | 7daebd198ba68491693b3b0e6ac77a990c6927ac | [
"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 | 39,697 | 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 linear_algebra.finite_dimensional
import ring_theory.adjoin.fg
import ring_theory.polynomial.scale_roots
import ring_theory.polynomial.tower
import linear_algebra.matrix... |
c410f474fe3c2af57a41ef91590b8f587403f4b9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/nat/digits.lean | a69c1ce229fe611a22fbed896a41dae35c771c9d | [
"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 | 22,853 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Shing Tak Lam, Mario Carneiro
-/
import data.int.modeq
import data.nat.bits
import data.nat.log
import data.list.indexes
import data.list.palindrome
import algebra.pari... |
7677df26574ef1c2348ac45af0f143ce3e00af44 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/metric_space/isometry.lean | 2629d2a6e487e60bfd894593171cd81cf59ab655 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 13,056 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Isometries of emetric and metric spaces
Authors: Sébastien Gouëzel
We define isometries, i.e., maps between emetric spaces that preserve
the edistance (on metric spaces, these are exactly th... |
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