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951c1c87fc2affdd11416301342dba78b4803fe9 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/dfinsupp.lean | 368a874fdb17f24785f1f720e45a3a07fc89bf9a | [
"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 | 65,870 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau
-/
import algebra.module.pi
import algebra.module.linear_map
import algebra.big_operators.basic
import data.set.finite
import group_theory.submonoid.membership
/-... |
d9e1decdd06d6a367c9da7eb284d0ac9210c6cea | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/meta/ac_tactics.lean | e8bb6d00b5acc858763ff555c01c3d0000cc23d9 | [
"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 | 496 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic
namespace tactic
/- (flat_assoc op assoc e) -/
meta_constant flat_assoc : expr → expr → expr → tactic (expr × expr)
/- (per... |
69ca89e12f835c25da03c8a836b333a36f634c62 | 618003631150032a5676f229d13a079ac875ff77 | /src/analysis/calculus/fderiv.lean | 78046cc744ebd0d2ffc5ec3da2a65589e8d12c27 | [
"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 | 102,534 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.tangent_cone
/-!
# The Fréchet derivative
Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E →L[�... |
c9dbbbf956351938ccdb08e122503d032222ea55 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/algebra/monoid_algebra/basic.lean | 6a7c84814cd4c240c9e56a5601a1596f78e84a51 | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 55,862 | 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 G. Kudryashov, Scott Morrison
-/
import algebra.big_operators.finsupp
import linear_algebra.finsupp
import algebra.non_unital_alg_hom
/-!
# Monoid algebras
When ... |
8c8b610e874079ed727e3a77f18e72f11d145d3b | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/tools/super/cdcl.lean | ccad2e71f5fb84c50244ea215a19665f326eb638 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 860 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .clausifier .cdcl_solver
open tactic expr monad super
meta def cdcl_t (th_solver : tactic unit) : tactic unit := do
as_refutation, local_false ← target,... |
9168a4679507468daadb9f91a1f708dbe597e7ea | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /tests/lean/interactive/goTo.lean | 899664ada7d21d40e2b6f53bde1d4a8016f09b0d | [
"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 | 1,019 | lean | import Lean.Elab
structure Bar where
structure Foo where
foo₁ : Nat
foo₂ : Nat
bar : Bar
def mkFoo₁ : Foo := {
--v textDocument/definition
foo₁ := 1
--v textDocument/declaration
foo₂ := 2
--v textDocument/typeDefinition
bar := ⟨⟩
}
structure HandWrittenStruct where
n : Nat
-- def HandWrittenStruct.n... |
ca4131f263174687d2f78996e71e48e14ef4ef9d | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /hott/init/nat.hlean | 8c2fbd57d98451e3fb5461ba2f90d2dad8500e5b | [
"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 | 11,420 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module init.nat
Authors: Floris van Doorn, Leonardo de Moura
-/
prelude
import init.wf init.tactic init.hedberg init.util init.types.sum
open eq.ops decidable sum
namespace nat
ope... |
cc82f0924dbfe022a20b57555cffc6c637aa7da6 | 618003631150032a5676f229d13a079ac875ff77 | /src/measure_theory/measurable_space.lean | 47c37b6b244b0ebde2d8b7790be1113d2539a939 | [
"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 | 45,207 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Measurable spaces -- σ-algberas
-/
import data.set.disjointed
import data.set.countable
/-!
# Measurable spaces and measurable functions
This file def... |
86b708b094a02ba17f5ec5069ad0a7f315c79ff8 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/algebraic_topology/dold_kan/functor_gamma.lean | 9a5675b665216d7d41c539af4b94d753c510d39a | [
"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 | 14,319 | 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 algebraic_topology.dold_kan.split_simplicial_object
/-!
# Construction of the inverse functor of the Dold-Kan equivalence
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
... |
424f5c7898e68d6bfa3d378844fe804afd85dd30 | 2ee768fce4d0783536570385ee340d97e2411436 | /src/u_def.lean | 6236b3ce0bb253d4def3f001822d0b9b6a137342 | [] | no_license | agjftucker/exists-unique | 835cf0c0ec622d49dbceb84be37db62e6ab8a6d0 | 1fba6035a08347f424c765d8a1c56b1a15c8abbe | refs/heads/master | 1,683,445,592,336 | 1,622,649,822,000 | 1,622,649,822,000 | 309,485,697 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,171 | lean | import v_def q_def
local prefix `𝒫`:100 := fun {α : Type} (s : finset α), {t // t ≤ s}
variables {𝒩 : Type} {T : with_top ℝ}
def mono_wrt_assets {β : Tt T → Type*} [∀ t, has_le (β t)] (f : ∀ (t : Tt T), X 𝒩 → β t) : Prop :=
∀ (η : ℝ) (hη : 0 ≤ η) (t : Tt T) (y : X 𝒩), f t y ≤ f t (y + η)
def strict_mono_wrt_ass... |
39230f5972c0fd0df82d35fd28ab7263cb9e91f9 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /logic/function.lean | cdc89deaa8552a6f502f913a00dc86533b98bdc3 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 7,317 | lean | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
Miscellaneous function constructions and lemmas.
-/
import logic.basic data.option
universes u v w
namespace function
section
variables {α : Sort u} ... |
9628645d5cd56862a3894cba9b36ba640e8d999f | 6ae186a0c6ab366b39397ec9250541c9d5aeb023 | /src/category_theory/arrows.lean | 9b93d4abe1b711cd324198d68e41f36b68a34a21 | [] | 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 | 2,099 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.natural_transformation
import category_theory.functor_category
import .tactics.obviously
universes u₁ v₁ u₂ v₂
open category_theory
name... |
bd7e6246ad5f3b964bc38d8b44d0417bc75c2866 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/set_theory/zfc/basic.lean | df5bbe6c3c9114aa3c7f1e75767c3c6e4b23942a | [
"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 | 41,098 | 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 data.set.lattice
import logic.small
import order.well_founded
/-!
# A model of ZFC
In this file, we model Zermelo-Fraenkel set theory (+ Choice) using Lean's... |
3b1c916d0cc2bd53139d23fdf295f1ffbaacf707 | 5bf112cf7101c6c6303dc3fd0b3179c860e61e56 | /lean/background/witness.lean | 42c9b844613103fd96f8e958b322d32f65a9ae9d | [
"Apache-2.0"
] | permissive | fredfeng/formal-encoding | 7ab645f49a553dfad2af03fcb4289e40fc679759 | 024efcf58672ac6b817caa10dfe8cd9708b07f1b | refs/heads/master | 1,597,236,551,123 | 1,568,832,149,000 | 1,568,832,149,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 233 | lean | import .set
namespace IMOGrandChallenge
def determine {X : Type} (s₀ : Set X) : Type :=
{ s : Set X // ∀ x, s.mem x ↔ s₀.mem x }
def compute {X : Type} (target : X) : Type :=
{ x : X // x = target }
end IMOGrandChallenge
|
dc4affe936a20d10065bdfe4b6b020643d1787d8 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Init/Notation.lean | 77bf702fe272c4d0999e6fedd90c3a20bec41815 | [
"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",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 22,276 | 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, Mario Carneiro
Notation for operators defined at Prelude.lean
-/
prelude
import Init.Prelude
import Init.Coe
set_option linter.missingDocs true -- keep it do... |
fcb5e24b43e17ca675f8b968b71cea816ddd3f59 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/order/monoid_lemmas.lean | aa4a588b59f20ba88f243b35e72e720fb6716915 | [
"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 | 27,389 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl, Damiano Testa
-/
import algebra.covariant_and_contravariant
import order.monotone
/-!
# Ordered monoids
This file dev... |
5c52377d35b5677987d09d9b0c73bf51ec6d87dc | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/witt_vector/init_tail.lean | cd5862d6a668a4afa8272b80699ab332a6ea0630 | [] | 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 | 4,817 | lean | /-
Copyright (c) 2020 Johan Commelin and Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.ring_theory.witt_vector.basic
import Mathlib.ring_theo... |
df31228c17b1f8dd2d08bd30fcf189f03ab339ef | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/category_theory/sites/sheaf.lean | 84b69b8d2141f8120a0234ae3a0c076dec676de4 | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,833 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.sites.pretopology
import category_theory.limits.shapes.types
import category_theory.full_subcategory
/-!
# Sheaves on a Grothendieck topology
De... |
2a627b6fa596d78622e5fa97be2bae5d8ae0a788 | 42610cc2e5db9c90269470365e6056df0122eaa0 | /tests/lean/extra/755.hlean | 2df1b7cd05b269b839f19e9c927b9c5227a742b3 | [
"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 | 1,733 | hlean | import types.eq types.pi hit.colimit
open eq is_trunc unit quotient seq_colim equiv
axiom mysorry : ∀ {A : Type}, A
namespace one_step_tr
section
parameters {A : Type}
variables (a a' : A)
protected definition R (a a' : A) : Type₀ := unit
parameter (A)
definition one_step_tr : Type := quotient R
parameter... |
789933ebbaf4e9c849f645c5532ad27460f6a23e | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/function.lean | e43ee743f7700470729e787d0d37f95e6ec60c27 | [
"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 | 5,629 | 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, Jeremy Avigad, Haitao Zhang
General operations on functions.
-/
prelude
import init.prod init.funext init.logic
notation f ` $ `:1 a:1 := f a
universe variabl... |
dcad1cd6aa90548fe5469b7abecb7b741e0f35dc | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/fderiv/comp.lean | 4efc624e08deed890b61f1022b12d88eb4549ffe | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 10,846 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.fderiv.basic
/-!
# The derivative of a composition (chain rule)
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4... |
73b4ed85f8d9a402a360926f7f1cd0f437fcac29 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/noncomputable_bytecode_issue.lean | 163e996fb78542a82220f779ccc24bd54e5cf12b | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 97 | lean | constant a : nat
meta def ex : tactic expr :=
return `(a)
open tactic
run_cmd ex >> return ()
|
ff4617f785e900807b4f8a5bd93b4b0ceb21a943 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/list/forall2.lean | c873ed7b4569b41fb4549a4d06713bdd539d1f75 | [
"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 | 10,376 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl
-/
import data.list.basic
universes u v w z
open nat function
variables {α : Type u} {β : Type v} {γ : Type w} {δ : Type z}
namespace list
/- forall₂... |
4743048a3f0c7c6395f5424a274aea21a40aa65b | 274748215b6d042f0d9c9a505f9551fa8e0c5f38 | /src/affine_algebraic_set/regular_map.lean | 9a67d1b09d7f237ec20c07f577ed2225aa652e98 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/M4P33 | 878ecb515c77d20cc799ff1ebd78f1bf4fd65c12 | 1a179372db71ad6802d11eacbc1f02f327d55f8f | refs/heads/master | 1,607,519,867,193 | 1,583,344,297,000 | 1,583,344,297,000 | 233,316,107 | 59 | 4 | Apache-2.0 | 1,579,285,778,000 | 1,578,788,367,000 | Lean | UTF-8 | Lean | false | false | 8,189 | lean | /-
Copyright (c) 2020 Kevin Buzzard
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, and whoever else wants to join in.
-/
import affine_algebraic_set.regular_function
-- we want k-algebra homomorphisms
import ring_theory.algebra
-- we want facts about k-algebra homs that a... |
3894885ffd06d27c5da1a607c34adae38d83ea9c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/metric_space/algebra.lean | 61447d7fef0d79c862b83a963f1c3387b904655a | [
"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 | 8,443 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import topology.algebra.mul_action
import topology.metric_space.lipschitz
/-!
# Compatibility of algebraic operations with metric space structures
> THIS FILE IS ... |
479e558f27710605b1ae76194a089dc3f05c5d55 | 675b8263050a5d74b89ceab381ac81ce70535688 | /src/topology/instances/ennreal.lean | e4e18d17035ce8dbada536096c902a70b5c79d80 | [
"Apache-2.0"
] | permissive | vozor/mathlib | 5921f55235ff60c05f4a48a90d616ea167068adf | f7e728ad8a6ebf90291df2a4d2f9255a6576b529 | refs/heads/master | 1,675,607,702,231 | 1,609,023,279,000 | 1,609,023,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 43,169 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.nnreal
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter metric
open_locale classical topological_space e... |
48f43a87f9d20f2dc72aab6bc755166ace193d82 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Data/PrefixTree.lean | 2ad20bab33e2c5ec0519d53f604865a186167ba5 | [
"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 | 3,820 | 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 Std.Data.RBMap
namespace Lean
open Std
/- Similar to trie, but for arbitrary keys -/
inductive PrefixTreeNode (α : Type u) (β : Type v) where
| N... |
9927546b2d35a8209cf976873a2fee09eff9d0a9 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/control/fix.lean | 326c5daa2ac42e33cd6e1995625a843929013e5c | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 3,244 | 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.part
import data.nat.upto
import data.stream.defs
/-!
# Fixed point
This module defines a generic `fix` operator for defining recursive
computations that are... |
a9d0323cd1e5d9d386869937ccef139ae7932105 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/measure_theory/special_functions.lean | deff8b879ae2134ffe8ea752c8b60d37fbe467f7 | [
"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 | 6,619 | 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 analysis.special_functions.pow
import analysis.normed_space.inner_product
import measure_theory.borel_space
/-!
# Measurability of real and complex functio... |
b15688f72a70b80be1873f229cb40bee3e5bfdc4 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/aops/2007-BMO-Problem_2.lean | 3f63726e306455fbf70f01b27409337c7278fa52 | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 193 | lean | import data.real.basic
theorem BMO_Problem_2_2007.lean (f : ℝ -> ℝ) : (∀ x y : ℝ, f(f(x)+y) = f(f(x) -y) + 4*f(x)*y)
→ (f = 0 ∨ (∃ c : ℝ, ∀ x : ℝ, f(x) = x^2 +c)) := sorry |
2777b45d70a76f9ec99a33b6251d59ac845c82e1 | 968e2f50b755d3048175f176376eff7139e9df70 | /examples/pred_logic/unnamed_208.lean | e61ebe34c9a382fa8d5f45f190efa16836d5f1c5 | [] | 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 | 56 | lean | def divides (a b : ℤ) : Prop := ∃ m : ℤ, b = a * m |
79abbfaa2a9c2c9d4bccac01a0fbe2c05c97906e | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/group_theory/free_abelian_group.lean | 94b6dd966eef617a3354123c3bd878354f478116 | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,258 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Free abelian groups as abelianization of free groups.
-- TODO: rewrite in terms of finsupp
-/
import algebra.group.pi
import group_theory.free_group
import group_theory.abeliani... |
abccc16ee414de4f65ef8207aad0b6eefbc11441 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Util/Path.lean | be0dcde1468318d6fb7ae73fb05be6b6f79a7248 | [
"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 | 3,415 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
Management of the Lean search path (`LEAN_PATH`), which is a list of
paths containing package roots: an import `A.B.C` resolves to
`path/A/... |
4f7a5284154fe2c49a2f3b01b6d82556e5642411 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/default.lean | dc394d9fe12db2ab90f5d540c6b5374ff42d68bc | [
"Apache-2.0"
] | permissive | leanprover-community/lean | 12b87f69d92e614daea8bcc9d4de9a9ace089d0e | cce7990ea86a78bdb383e38ed7f9b5ba93c60ce0 | refs/heads/master | 1,687,508,156,644 | 1,684,951,104,000 | 1,684,951,104,000 | 169,960,991 | 457 | 107 | Apache-2.0 | 1,686,744,372,000 | 1,549,790,268,000 | C++ | UTF-8 | Lean | false | false | 645 | 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
-/
prelude
import init.core init.logic init.control init.data.basic init.version
import init.propext init.cc_lemmas init.funext init.control.combinators init.f... |
d96bc140dadca8223ecb7da4e3a743d4c806501d | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/order/conditionally_complete_lattice.lean | 670392a14be7a391e5f3fcb2d3161f840e48a98c | [
"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 | 35,630 | lean | /-
Copyright (c) 2018 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
Adapted from the corresponding theory for complete lattices.
Theory of conditionally complete lattices.
A conditionally complete lattice is a lattice in which ev... |
f23df467b489e6338377b451ca7ed760dff91864 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/category/Module/monoidal.lean | 0f80c5596f23fe307b16260c9af247888e3fa7f4 | [
"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 | 12,536 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Scott Morrison, Jakob von Raumer
-/
import category_theory.monoidal.braided
import category_theory.closed.monoidal
import algebra.category.Module.basic
import linear_alg... |
faa5ae724b47dffc5a85a88913cd265ab61e07ae | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monoidal/internal/types.lean | 39831cf76281aeba83c77945a81cca12cb2051e2 | [
"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 | 4,764 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Mon.basic
import category_theory.monoidal.CommMon_
import category_theory.monoidal.types.symmetric
/-!
# `Mon_ (Type u) ≌ Mon.{u}`
> THIS FI... |
85890cf09bd13a00f28a9d71fcfd045c46809535 | 82e44445c70db0f03e30d7be725775f122d72f3e | /archive/100-theorems-list/82_cubing_a_cube.lean | b01790dc9c3aa56862dd8259a2efee14b1877bb1 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 23,632 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import data.real.basic
import data.set.intervals
import data.set.pairwise
import set_theory.cardinal
/-!
Proof that a cube (in dimension n ≥ 3) cannot be cubed:
T... |
fca8aa51eec687031d2dd18ad3f7f3a1ac872b21 | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/init/algebra/ordered_ring.lean | 875929a0eea3d34ba9a12312dd26a7aa13174d5d | [
"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 | 16,070 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
prelude
import init.algebra.ordered_group init.algebra.ring
/- Make sure instances defined in this file have lower priority than the ones
... |
d89deb0cc2be6bac43e9a161b9cd6901cb87f2ba | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/measure_theory/group/fundamental_domain.lean | 86deeca047398052581f2aedc85bb0875a5bab84 | [
"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 | 12,389 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import measure_theory.group.action
import measure_theory.group.pointwise
import measure_theory.integral.set_integral
/-!
# Fundamental domain of a group acti... |
492810a3c38262ab70381d0bfc1be76e57d336f6 | fe25de614feb5587799621c41487aaee0d083b08 | /stage0/src/Lean/Meta/Match/CaseArraySizes.lean | dafe4ac9772b4ddf050f2e55efcd967856e33050 | [
"Apache-2.0"
] | permissive | pollend/lean4 | e8469c2f5fb8779b773618c3267883cf21fb9fac | c913886938c4b3b83238a3f99673c6c5a9cec270 | refs/heads/master | 1,687,973,251,481 | 1,628,039,739,000 | 1,628,039,739,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,840 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Assert
import Lean.Meta.Match.CaseValues
namespace Lean.Meta
structure CaseArraySizesSubgoal where
mvarId : MVarId
elems : Ar... |
b3fc478d223e5c7d2c487e88cae037cce7420028 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/number_theory/fermat4.lean | 5f3fe6387b5b3ae75fd28dca4695cf52fa9d73e8 | [
"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 | 11,866 | lean | /-
Copyright (c) 2020 Paul van Wamelen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul van Wamelen
-/
import number_theory.pythagorean_triples
import ring_theory.coprime.lemmas
import tactic.linear_combination
/-!
# Fermat's Last Theorem for the case n = 4
There ... |
5570ebb8ac4966b73d9ef2bd2ca5f01fed6064f4 | 61c3861020ef87c6c325fc3c3dcbabf5d6b07985 | /init/equiv.lean | 597e61c2a3602533cc27261eabc915a533c84fb8 | [
"Apache-2.0"
] | permissive | jonas-frey/hott3 | a623be2959e8a713c03fa1b0f34bf76a561dfa87 | a944051b4eb5919bdc70978ee15fcbb48a824811 | refs/heads/master | 1,628,408,720,559 | 1,510,267,042,000 | 1,510,267,042,000 | 106,760,764 | 0 | 0 | null | 1,507,856,238,000 | 1,507,856,238,000 | null | UTF-8 | Lean | false | false | 19,624 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
import .path .meta.rewrite
universes u v w
hott_theory
namespace hott
open function
/- Equivalences ... |
79b3f9ba79e0c8c0865a84688becd1f6a4fe7f90 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/probability/kernel/disintegration.lean | 3636f104864f4f7245062015209af9a86c222b06 | [
"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 | 26,749 | lean | /-
Copyright (c) 2023 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import probability.kernel.cond_cdf
import measure_theory.constructions.polish
import probability.kernel.integral_comp_prod
/-!
# Disintegration of measures on product sp... |
0313e25d3f38ce9b6a9eec25f04a6b0ad4afb04f | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/computability/primrec.lean | fc9a7c5dc2cb4ccb8eddfd4df2a7a9bbf2dddd2c | [
"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 | 52,018 | 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... |
bbb6301d12fe7d7428cd53fb1dbddfa9845edcfe | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/362.lean | c91736dd6f697fa399b6e9adf111072c16392f17 | [
"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 | 133 | lean | variables {a : Type}
definition foo (A : Type) : A → A :=
begin
intro a, assumption
end
set_option pp.universes true
check foo
|
aaf814072bef7521997f3f6e4df0168c1b6e9869 | c5b07d17b3c9fb19e4b302465d237fd1d988c14f | /src/isos/fseq_ogf.lean | becd590a449ec4ad17fd48697d47bca7f6424a86 | [
"MIT"
] | permissive | skaslev/papers | acaec61602b28c33d6115e53913b2002136aa29b | f15b379f3c43bbd0a37ac7bb75f4278f7e901389 | refs/heads/master | 1,665,505,770,318 | 1,660,378,602,000 | 1,660,378,602,000 | 14,101,547 | 0 | 1 | MIT | 1,595,414,522,000 | 1,383,542,702,000 | Lean | UTF-8 | Lean | false | false | 892 | lean | import functors.generating
namespace fseq
-- xᵏ = Σ n:ℕ, δ(k,n) xⁿ
def ogf_iso {k A} : fseq k A ≃ ogf (delta k) A :=
⟨λ x, ⟨k, (⟨0, by simp [delta, nat.zero_lt_succ]⟩, x)⟩,
λ x, dite (x.1=k) (λ h, eq.mp (by rw h) x.2.2) (λ h, begin have z : fin 0 := eq.mp (by simp [delta, if_neg h]) x.2.1, exact fin.elim0 z end),
λ ... |
176a247ffbc8489a014c7440511e944d321ea0f4 | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/run/is_nil.lean | 3e049c2cbc30f2df7ca22d4d6d417b8327fef138 | [
"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 | 1,344 | lean | import logic
open tactic
inductive list (A : Type) : Type :=
| nil {} : list A
| cons : A → list A → list A
namespace list end list open list
open eq
definition is_nil {A : Type} (l : list A) : Prop
:= list.rec true (fun h t r, false) l
theorem is_nil_nil (A : Type) : is_nil (@nil A)
:= of_eq_true (refl true)
the... |
729f7a5b3bc4c99bfec3a4f4138351239968b5f2 | ec5e5a9dbe7f60fa5784d15211d8bf24ada0825c | /src/DataLayout.lean | e85461fe33e1e93f9127a5efb5b4cd5ffdf341a6 | [] | no_license | pnwamk/lean-llvm | fcd9a828e52e80eb197f7d9032b3846f2e09ef74 | ebc3bca9a57a6aef29529d46394f560398fb5c9c | refs/heads/master | 1,668,418,078,706 | 1,593,548,643,000 | 1,593,548,643,000 | 258,617,753 | 0 | 0 | null | 1,587,760,298,000 | 1,587,760,298,000 | null | UTF-8 | Lean | false | false | 4,551 | lean | import Init.Data.RBMap
import LeanLLVM.Alignment
import LeanLLVM.AST
import LeanLLVM.Parser
namespace LLVM
namespace parse
section Mangling
open Mangling
def mangling_spec : parse Mangling :=
parse.describe "mangling spec" $
parse.choosePrefix
[ ("e", pure elf)
, ("m", pure mips)
, ("o", pure mach_o)
,... |
09812924e6a8322c30ac26957859c6561d532681 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Elab/SyntheticMVars.lean | 5f0e7f684e4110049a37b8425d3b9f38a4c16fec | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 12,292 | 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, Sebastian Ullrich
-/
prelude
import Init.Lean.Elab.Term
import Init.Lean.Elab.Tactic.Basic
namespace Lean
namespace Elab
namespace Term
open Tactic (TacticM... |
e70e6a378d347302779a88986c20a110a376f1c1 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /library/standard/num.lean | 0373700a2a5002b1e1400960f1b948955cbde9a5 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 822 | 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 logic
namespace num
-- pos_num and num are two auxiliary datatypes used when parsing numerals such as 13, 0, 26.
-- The parser will generate the te... |
f934018f0aabb602c994798e3545cd4dd283ee4a | e953c38599905267210b87fb5d82dcc3e52a4214 | /hott/algebra/category/adjoint.hlean | 0862139b65eb1b9b476ac02cfc1a6d442e182f1e | [
"Apache-2.0"
] | permissive | c-cube/lean | 563c1020bff98441c4f8ba60111fef6f6b46e31b | 0fb52a9a139f720be418dafac35104468e293b66 | refs/heads/master | 1,610,753,294,113 | 1,440,451,356,000 | 1,440,499,588,000 | 41,748,334 | 0 | 0 | null | 1,441,122,656,000 | 1,441,122,656,000 | null | UTF-8 | Lean | false | false | 5,783 | 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
-/
import algebra.category.constructions .constructions function arity
open category functor nat_trans eq is_trunc iso equiv prod trunc function
namespace categor... |
93af218c3ca60410b2f139cf5fd79481c7dfbf6c | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/calculus/iterated_deriv.lean | 67837508500c8ad02c19181af9d7275c21c4fea2 | [
"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 | 14,758 | 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.cont_diff_def
/-!
# One-dimensional iterated derivatives
We define the `n`-th derivative of a function... |
63c731dd6c2e2455fdaf7b2b5d1678e334e633b5 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/Tactic/Delta.lean | f7a0e18665e28a6ab616565576942127d69d58d1 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 1,482 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Transform
import Lean.Meta.Tactic.Replace
namespace Lean.Meta
def delta? (e : Expr) (p : Name → Bool := fun _ => true) : CoreM (Option Ex... |
420281979a63b6636f7946ece512717f45af9251 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/complex/basic.lean | 34c0a8fe6eecbd9571b8155ab6b2ecda58e6b4af | [
"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 | 21,266 | 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
-/
import data.real.sqrt
open_locale big_operators
/-!
# The complex numbers
The complex numbers are modelled as ℝ^2 in the obvious way.
-/
/-! ### Def... |
78673dacad7e54a2e19cf0ec63391d4508e92c5d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/test/lock/Error.lean | 337145a16f6cfa5b2283b8c617d52e2bc05abe3c | [
"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 | 54 | lean | #eval show IO Unit from throw <| .userError "failure"
|
91c03c58c756bb8dea992219c878519623a40dbf | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/category/Ring/adjunctions.lean | d1d6809d85fea02c82eacc3c2ba3c343bb968887 | [
"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 | 1,622 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl
-/
import algebra.category.Ring.basic
import data.mv_polynomial.comm_ring
/-!
Multivariable polynomials on a type is the left adjoint of the
forgetful f... |
b73b758e84cdb19735ac54ce20788832d1c05371 | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/newfrontend1.lean | cc3660d434a1a26087ba03374ed6a3ea182b79b6 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,035 | lean | def x := 1
new_frontend
#check x
variables {α : Type}
def f (a : α) : α :=
a
def tst (xs : List Nat) : Nat :=
xs.foldl (init := 10) (· + ·)
#check tst [1, 2, 3]
#check tst
#check (fun stx => if True then let e := stx; HasPure.pure e else HasPure.pure stx : Nat → Id Nat)
#check let x : Nat := 1; x
def foo (a :... |
9d04884277cf1a8730f73b04f7448ec271e3d4a6 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebraic_geometry/prime_spectrum.lean | de8309afa65fe77f7e11ddb701347b4da91d01af | [
"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 | 15,602 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.opens
import ring_theory.ideal.prod
import linear_algebra.finsupp
import algebra.punit_instances
/-!
# Prime spectrum of a commutative ring
The prim... |
5ffd2e8d2631636d9d568ea328e1c2625db50f72 | 13133fade54057ee588bc056e4eaa14a24773d23 | /report/binomial_succ.lean | a64da4c2759da2db508204195eda2ad218eb0f77 | [] | no_license | lkloh/lean-project-15815 | 444cbdca1d1a2dfa258c76c41a6ff846392e13d1 | 2cb657c0e41baa318193f7dce85974ff37d80883 | refs/heads/master | 1,611,402,038,933 | 1,432,020,760,000 | 1,432,020,760,000 | 33,372,120 | 0 | 0 | null | 1,431,932,928,000 | 1,428,078,840,000 | Lean | UTF-8 | Lean | false | false | 4,460 | lean | import data.nat
open nat
-- These are taken from http://afp.sourceforge.net/browser_info/current/AFP/Girth_Chromatic/Binomial.html
-- ****************************************************************** --
definition binomial : nat → nat → nat
| binomial 0 0 := 1
| binomial 0 k := 0
| binomial(succ n) 0 := 1
| binomia... |
28d76adda4b1ad80d355ac7f935903a668e519d7 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/chain.lean | 2c0b3a49c778678e91d79aa71b7b9505992b947a | [
"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 | 14,806 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Yury Kudryashov
-/
import data.list.pairwise
import logic.relation
/-!
# Relation chain
This file provides basic results about `list.chain` (definition in ... |
888a49101aea9daa28405f9f89f97ff5d24b307b | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/order/fixed_points.lean | efe2f4ee3968dd768443038acf56185a20094e66 | [
"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 | 8,677 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau
Fixed point construction on complete lattices.
-/
import order.complete_lattice
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
namespace ... |
b6d9f1beb403d61e613aaad8ad8b087054041aa9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/polynomial/coeff_auto.lean | 8704658afae21d7943b2987f294cba919729eba9 | [] | 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 | 6,963 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.monomial
import Mathlib.data.fi... |
755f63216c9dae1aa32ee276101b498bf98dc8c9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/nat/bitwise.lean | 54358c6ec377dd12d5db832e4968443235433675 | [
"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 | 9,795 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import data.list.basic
import data.nat.bits
import tactic.linarith
/-!
# Bitwise operations on natural numbers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any change... |
ebfa69d0195e712428825aaa44c3ed06e64bd900 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/semiquot.lean | c0efa7cf9040bcde89bf63dc6fae9388fdf9109c | [
"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 | 7,919 | 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 data.set.lattice
/-! # Semiquotients
A data type for semiquotients, which are classically equivalent to
nonempty sets, but are useful for programming; the id... |
df83b331120ebe472fb3598d9782c88226c63bcf | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/analysis/specific_limits.lean | b5ba18f8379e135e341ad0b38e614e5cbd7b7f26 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 7,954 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
A collection of specific limit computations.
-/
import analysis.normed_space.basic
import topology.instances.ennreal
noncomputable theory
local attribute [instance] cl... |
9c297eabef7472abc477ab93597d19e5b7d646a8 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/sup_inf/supProdConst.lean | 44c37ad8dee8d96e0a91865534fc000a1d482ac8 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,258 | lean | import game.sup_inf.infSumConst
namespace xena -- hide
/-
# Chapter 3 : Sup and Inf
## Level 8
Again a classical result.
-/
-- supremum of constant × set
def const_times_set (c: ℝ) (A : set ℝ) := { x : ℝ | ∃ y ∈ A, x = c * y }
/- Lemma
If $A$ is a set of reals and $c > 0$, then
$$ \textrm{sup} (cA) = c \cdot \tex... |
509468288f4dbd4a11ca598ec5ce802cc8a05f2f | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/algebra/order.hlean | 71ce0a29d7c772ea855574b62db17f97843e0dd1 | [
"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 | 16,735 | hlean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Weak orders "≤", strict orders "<", and structures that include both.
-/
import algebra.binary algebra.priority
open eq eq.ops algebra
-- set_option class.force_new true
... |
004adfa7ae73188c1fddf7f5e9541b26aa907d02 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/induniv.lean | e8b9745d422baadd4d62efb55fa972560c2fe83f | [
"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 | 1,023 | lean | prelude
inductive list (A : Type) : Type :=
nil {} : list A,
cons : A → list A → list A
section
variable A : Type
inductive list2 : Type :=
nil2 {} : list2,
cons2 : A → list2 → list2
end
constant num : Type.{1}
namespace Tree
inductive tree (A : Type) : Type :=
node : A → forest A → tree A
with forest : ... |
d945d5d40c915baeb76cee9ea6489f6dcef444bb | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/probability/independence.lean | e43fcb7cb62ee89d1bc6ee48ed9ad5fb2ff4a7dc | [
"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 | 36,090 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import algebra.big_operators.intervals
import measure_theory.constructions.pi
/-!
# Independence of sets of sets and measure spaces (σ-algebras)
* A family of sets of s... |
81804c6c31e697ddc606b8350a34f7addc0263a8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/equiv/local_equiv.lean | a475f15a2e615cb35489981705316894f0241b42 | [] | 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 | 26,536 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.equiv.basic
import Mathlib.PostPort
universes u_5 u_6 l u_1 u_2 u_3 u_4
names... |
bf588241c96b90afaf55dece3fd7da19133faacf | 842b7df4a999c5c50bbd215b8617dd705e43c2e1 | /nat_num_game/src/Advanced_Proposition_World/adv_prop_wrld9.lean | 0f802defcaf8eb5fbd903ed0d0c54f7ded07cc6a | [] | no_license | Samyak-Surti/LeanCode | 1c245631f74b00057d20483c8ac75916e8643b14 | 944eac3e5f43e2614ed246083b97fbdf24181d83 | refs/heads/master | 1,669,023,730,828 | 1,595,534,784,000 | 1,595,534,784,000 | 282,037,186 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 246 | lean | lemma not_iff_imp_false (P : Prop) : ¬ P ↔ P → false := iff.rfl --hide
lemma contra (P Q : Prop) : (P ∧ ¬ P) → Q :=
begin
intro f,
cases f with p np,
exfalso,
--rw not_iff_imp_false at np,
apply np,
exact p,
end |
a001918974c507aa554fd645e1025878b024df04 | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /library/init/native/result.lean | 72f22417f6866ac436cba9ff40a59319f53f686c | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 2,488 | lean | /-
Copyright (c) 2016 Jared Roesch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jared Roesch
-/
prelude
import init.meta.interactive
namespace native
inductive result (E : Type) (R : Type) : Type
| err {} : E → result
| ok {} : R → result
def unwrap_or {E T : Ty... |
bfed6c63f20dfce678096efc8472fe3f4c88cb70 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/instPatVar.lean | 35592a8e2e570d5314d673c47844ee65f693f989 | [
"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 | 239 | lean | class Pretty (α : Type u) where
pretty : α → Std.Format
export Pretty (pretty)
def concat (xs : List ((α : Type u) × Pretty α × α)) : Std.Format :=
match xs with
| [] => ""
| ⟨_, _, v⟩ :: xs => pretty v ++ concat xs
|
f478eebff140985aa4dfa29d73e63c9eb5746d37 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/GenInjective.lean | 8a97530f6adb87231cddde0757f9e387c8217e22 | [
"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 | 492 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Command
import Lean.Meta.Injective
namespace Lean.Elab.Command
@[builtinCommandElab genInjectiveTheorems] def elabGenInjectiveTheorems : ... |
c27b03cc0ad66ef9b4a83a00268803edc3c21c49 | c09f5945267fd905e23a77be83d9a78580e04a4a | /src/topology/maps.lean | ca922f9b54781097e174a3798466265886a6c8ab | [
"Apache-2.0"
] | permissive | OHIHIYA20/mathlib | 023a6df35355b5b6eb931c404f7dd7535dccfa89 | 1ec0a1f49db97d45e8666a3bf33217ff79ca1d87 | refs/heads/master | 1,587,964,529,965 | 1,551,819,319,000 | 1,551,819,319,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,465 | 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
Specific classes of maps between topological spaces: embeddings, open maps, quotient maps.
-/
import topology.order topology.separation
... |
b4fd27a8673192fd7f13682440110e694e96ed8a | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/order/atoms.lean | 1d7ecf25d069049bf8cb94d105b544a2aae7ebd7 | [
"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 | 21,301 | 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 order.complete_boolean_algebra
import order.modular_lattice
import data.fintype.basic
/-!
# Atoms, Coatoms, and Simple Lattices
This module defines atoms, w... |
8079778fef8d31d65e9e466f42cbfbac7af9a42a | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/order/complete_lattice.lean | cbb44041c9289dddbc0dd2f542e55004deb3892f | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 52,686 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.bounds
/-!
# Theory of complete lattices
## Main definitions
* `Sup` and `Inf` are the supremum and the infimum of a set;
* `supr (f : ι → α)` and `in... |
04ef9c568ce59f9330943ec9d58a79305d0af2da | 07f5f86b00fed90a419ccda4298d8b795a68f657 | /library/init/meta/converter/interactive.lean | 60524208652a382c2745226f287a509367956e2c | [
"Apache-2.0"
] | permissive | VBaratham/lean | 8ec5c3167b4835cfbcd7f25e2173d61ad9416b3a | 450ca5834c1c35318e4b47d553bb9820c1b3eee7 | refs/heads/master | 1,629,649,471,814 | 1,512,060,373,000 | 1,512,060,469,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,837 | 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
Converter monad for building simplifiers.
-/
prelude
import init.meta.interactive init.meta.converter.conv
namespace conv
meta def save_info (p : pos) : conv... |
3d5e55a2e4aedde7d590367be3f798058721a2d7 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /hott/cubical/square.hlean | 3608f41df6f5cc23e6139ca9f95b58ef1a73a681 | [
"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 | 27,641 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jakob von Raumer
Squares in a type
-/
import types.eq
open eq equiv is_equiv sigma
namespace eq
variables {A B : Type} {a a' a'' a₀₀ a₂₀ a₄₀ a₀₂ a₂₂ a₂₄ a₀₄ a₄... |
509592ab9136817c7fcd5a968721bfe773f83cba | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/groupoid.lean | 4889ac68b322323ca3a077b95ee202ce6f6038f6 | [
"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 | 5,090 | 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.full_subcategory
import category_theory.products.basic
import category_theory.pi.basic
import category_theory.category.bas... |
fa7ab06df612a1ed5b85db14b10f47d2f815eae5 | 4e3bf8e2b29061457a887ac8889e88fa5aa0e34c | /lean/love02_tactical_proofs_homework_sheet.lean | 3430650abd9c5638a4cbbe58ef4e025fbe1e287d | [] | no_license | mukeshtiwari/logical_verification_2019 | 9f964c067a71f65eb8884743273fbeef99e6503d | 16f62717f55ed5b7b87e03ae0134791a9bef9b9a | refs/heads/master | 1,619,158,844,208 | 1,585,139,500,000 | 1,585,139,500,000 | 249,906,380 | 0 | 0 | null | 1,585,118,728,000 | 1,585,118,727,000 | null | UTF-8 | Lean | false | false | 1,666 | lean | /- LoVe Homework 2: Tactical Proofs -/
import .love02_tactical_proofs_exercise
namespace LoVe
/- Question 1: Connectives and Quantifiers -/
/- 1.1. Complete the following proofs using basic tactics. -/
lemma B (a b c : Prop) :
(a → b) → (c → a) → c → b :=
sorry
lemma S (a b c : Prop) :
(a → b → c) → (a → b) ... |
ba2981f0f957c2d8fab99cf6f076e751d78c00bf | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/number_theory/prime_counting.lean | 80d226d27dfa81961a361ff217e3952fcd814501 | [
"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 | 3,410 | lean | /-
Copyright (c) 2021 Bolton Bailey. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bolton Bailey
-/
import data.nat.prime
import data.nat.totient
import algebra.periodic
import data.finset.locally_finite
import data.nat.count
import data.nat.nth
/-!
# The Prime Coun... |
e35a80c89cf30b409f55158d719eb9546186d654 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/data/finset.lean | a7e251f37da8cf49aa1d5bfde6183dad2c643bf3 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 122,816 | 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 data.multiset
import tactic.monotonicity
import tactic.apply
open multiset subtype nat
vari... |
3d101572f8b448c1b5eb62f488d075a230cacb84 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/data/hash_map.lean | 8571127cfd0f8fbe7d5fc354ca6d746020603560 | [
"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 | 27,885 | 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, Mario Carneiro
-/
import data.pnat.basic
import data.array.lemmas
import algebra.group
import data.sigma.basic
universes u v w
/-- `bucket_array α β` is the... |
57d11b77e12073beebdbadafc848cfb262154115 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/aops/2008-iTest-Problem_90.lean | 3dc7d0ee86db80fad96504c74a0fbf3986f3872e | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 255 | lean |
import data.real.basic
import data.real.nnreal
theorem exo:
let P (a b c N: nnreal) := N = (a^2+b^2)/(c^2+a*b)+(b^2+c^2)/(a^2+b*c)+(c^2+a^2)/(b^2+c*a) in
(forall a b c N, P a b c N -> N >= 3) /\ (exists a b c N, P a b c N /\ N = 3)
:=
sorry
|
7477c40e294813c579f3eb2f10c3c14e154d3cb3 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/init/simplifier.lean | de6804522298a84cbea97560f6b6c21b211942e6 | [
"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 | 3,002 | lean | /-
Copyright (c) 2015 Daniel Selsam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Daniel Selsam
-/
prelude
import init.logic
namespace simplifier
namespace empty
end empty
namespace prove
attribute eq_self_iff_true [simp]
end prove
namespace unit_simp
open eq.ops
... |
469ae897b69104b5742964966b5ec7f0802fb061 | cc62cd292c1acc80a10b1c645915b70d2cdee661 | /src/category_theory/presheaves/sheaves_of_types.lean | b793113a9d7fda02cd0b255ea09b8f5cdfece952 | [] | no_license | RitaAhmadi/lean-category-theory | 4afb881c4b387ee2c8ce706c454fbf9db8897a29 | a27b4ae5eac978e9188d2e867c3d11d9a5b87a9e | refs/heads/master | 1,651,786,183,402 | 1,565,604,314,000 | 1,565,604,314,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,465 | lean | -- import category_theory.presheaves.sheaves
-- import category_theory.limits.preserves
-- import category_theory.functor.isomorphism
-- universes u v
-- open category_theory
-- open category_theory.limits
-- open category_theory.examples
-- open topological_space
-- -- We now provide an alternative 'pointwise' cons... |
e83e1dc5f603fe0b0b62a83e3e5003af7db0df5b | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/analysis/complex/roots_of_unity.lean | ef459be4ce158d6b72b9c9ec6ea2db1f9176c986 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 3,600 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import ring_theory.roots_of_unity
import analysis.special_functions.trigonometric
import analysis.special_functions.pow
/-!
# Complex roots of unity
In this file w... |
eab1a8abfa9de231d4d248bf52e140af9fd2d236 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /library/init/meta/task.lean | 8d34056a194a76f4b1ef01b21614c62ba958fb82 | [
"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 | 726 | lean | prelude
import init.category
meta constant {u} task : Type u → Type u
namespace task
meta constant {u} get {α : Type u} (t : task α) : α
protected meta constant {u} pure {α : Type u} (t : α) : task α
protected meta constant {u v} map {α : Type u} {β : Type v} (f : α → β) (t : task α) : task β
protected meta constant... |
69b8c1c4f8f741d5929a4e8ed8b20acceb4c4684 | f5373ccdc976e6390397d9f4220a74c76f706f4a | /src/tools/json_server.lean | 03f3f9aa4cb68109f92687caff3923e05a85b1f7 | [] | no_license | jasonrute/lean_gym_prototype | fcd91fdc454f9e351bbe258c765f50276407547e | ab29624d14e4e069e15afe0b1d90248b5b394b86 | refs/heads/master | 1,682,628,526,780 | 1,590,539,315,000 | 1,590,539,315,000 | 264,938,525 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,074 | lean | import system.io
import tools.json
import tools.json_serialization
import tools.dumb_json
open json
/- A way to get data and put data (one line at a time),
such as stdin/stdout, files, or a child process. -/
meta structure io_streams :=
-- get one line of text It does not have a new line at the end.
(get_line : io ... |
66d5ad628d8a2aad67716cff2df5b4055087ca8b | 9c2e8d73b5c5932ceb1333265f17febc6a2f0a39 | /src/S4/ops.lean | 83cc103aaae193836a4212584ef61a985582f650 | [
"MIT"
] | permissive | minchaowu/ModalTab | 2150392108dfdcaffc620ff280a8b55fe13c187f | 9bb0bf17faf0554d907ef7bdd639648742889178 | refs/heads/master | 1,626,266,863,244 | 1,592,056,874,000 | 1,592,056,874,000 | 153,314,364 | 12 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 11,300 | lean | import .size
open nnf list
namespace list
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
theorem mapp {p : β → Prop} (f : α → β) : Π (l : list α) (h : ∀ x∈l, p (f x)) x, x ∈ list.map f l → p x
| [] h x := by simp
| (hd::tl) h x :=
begin
intro hmem, cases hmem,
{rw hmem, apply h, simp},
{appl... |
f5af03444ab21e41e5179a07ed9d1a6128c7167b | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Data/Lsp/Communication.lean | 1647ee0ae731370ee0a4ed21c504d0f3cb1f80ef | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,507 | 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.JsonRpc
/-! Reading/writing LSP messages from/to IO handles. -/
namespace IO.FS.Stream
open Lean
open Lean... |
f84c0c3efb3664e37eb1469be26d8ad8f2cd69a5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_geometry/prime_spectrum/basic.lean | 19489e8ab4019548148315620a9e902b7d4d3712 | [
"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 | 35,534 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.punit_instances
import linear_algebra.finsupp
import ring_theory.ideal.over
import ring_theory.ideal.prod
import ring_theory.localization.away
import r... |
0e39647f62467f3861ad1e23bb24f661edb627a7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/probability/hitting_time.lean | 62171ead4962e875ae6a339e0c2b1ab5d53497f6 | [
"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 | 13,075 | lean | /-
Copyright (c) 2022 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying, Rémy Degenne
-/
import probability.stopping
/-!
# Hitting time
Given a stochastic process, the hitting time provides the first time the process ``hits'' some
subset of the ... |
56db59e3dae710c93f9307c9573c199800b7b2bc | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast21.lean | 1def7095f83c6df8b409d1e0f70e004316969b66 | [
"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 | 465 | lean | namespace ex
set_option blast.strategy "backward"
constant typ : Type₁
constant subtype : typ → typ → Prop
constant subtype_refl : ∀ T, subtype T T
constant subtype_trans : ∀ S T U, subtype S T → subtype T U → subtype S U
attribute subtype_refl subtype_trans [intro]
lemma L1 : ∀ T1 T2 T3 T4 T5 T6, subtype T1 T2 →... |
592c1c2b63743ee5fae5fe6fd846dc38a01a3a62 | b70447c014d9e71cf619ebc9f539b262c19c2e0b | /hott/types/fin.hlean | 4174f94132e0dd245fd9358ee81b1296db97f439 | [
"Apache-2.0"
] | permissive | ia0/lean2 | c20d8da69657f94b1d161f9590a4c635f8dc87f3 | d86284da630acb78fa5dc3b0b106153c50ffccd0 | refs/heads/master | 1,611,399,322,751 | 1,495,751,007,000 | 1,495,751,007,000 | 93,104,167 | 0 | 0 | null | 1,496,355,488,000 | 1,496,355,487,000 | null | UTF-8 | Lean | false | false | 22,732 | hlean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Haitao Zhang, Leonardo de Moura, Jakob von Raumer, Floris van Doorn
Finite ordinal types.
-/
import types.list algebra.bundled function logic types.prod types.sum types.nat.div
open eq ... |
6641fe5061fe0c274bcdbfbe465d6dcb30c41952 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/special_functions/exp.lean | c55a8ce2522d441cda602213f914fc075d06896f | [
"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 | 10,469 | 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
-/
import analysis.complex.basic
import data.complex.exponential
/-!
# Complex and real exponential
In this file we prove c... |
533adf229943de168da06232dc21efcc9faabe7e | 9cb9db9d79fad57d80ca53543dc07efb7c4f3838 | /src/for_mathlib/free_abelian_group.lean | d4641d5579af10fbf3c1d2c6bcea87fa69a12116 | [] | 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 | 13,779 | lean | import group_theory.free_abelian_group
import data.finsupp.basic
/-!
In this file we define the equivalence between `free_abelian_group X`
and `X →₀ ℤ` (the type of finitely supported function `X → ℤ`).
Both types come with useful machinery, and the purpose of this file
is to transport some of the machinery from one t... |
f62ac6a299d8aeac6869fce642d65f82c633241f | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/ScopedEnvExtension.lean | f6e7cde48454fa02c2f587ee8fcfbe37d39be087 | [
"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 | 8,502 | 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.Environment
import Lean.Data.NameTrie
import Lean.Attributes
namespace Lean
namespace ScopedEnvExtension
inductive Entry (α : Type) where
|... |
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