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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4eaa20936fd526a8e3f5a29c3a4e8b80664728eb | 3446e92e64a5de7ed1f2109cfb024f83cd904c34 | /src/game/world4/level1.lean | 600baec82a195d96ff332983f8b4b398fbe8826b | [] | no_license | kckennylau/natural_number_game | 019f4a5f419c9681e65234ecd124c564f9a0a246 | ad8c0adaa725975be8a9f978c8494a39311029be | refs/heads/master | 1,598,784,137,722 | 1,571,905,156,000 | 1,571,905,156,000 | 218,354,686 | 0 | 0 | null | 1,572,373,319,000 | 1,572,373,318,000 | null | UTF-8 | Lean | false | false | 947 | lean | import game.world3.level13 -- hide
import mynat.pow -- new import
namespace mynat -- hide
/-
# World 4 : Power World
A new world! A relatively straightforward one at that. And a new import!
This import gives you the power to make powers of your
natural numbers. It is defined by recursion, just like addition and mul... |
630f0abeee9eb8f11f7b77c4e2824a6b4b99a0be | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/probability/notation.lean | 23e11d9c09fa0b3fb0fc2e829f791e69f2123afc | [
"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 | 2,110 | 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 probability.probability_mass_function.basic
import measure_theory.function.conditional_expectation.basic
/-! # Notations for probability theory
This file defines... |
311ea51c08cabb5afac5fedadfd6ff7d714be310 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/category_theory/const.lean | b46f02f69994e8e7aac99ec14d8a94aaa4e5c0e5 | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 1,693 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.functor_category
import category_theory.isomorphism
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v`'s first; see `category_theory.category`... |
f4520ad3c762af8397fe175f65a2a1292fec881a | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Init/SimpLemmas.lean | 93ede06365632f937965be8fc93003e87a5c75c5 | [
"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 | 9,000 | 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
notation, basic datatypes and type classes
-/
prelude
import Init.Core
set_option linter.missingDocs true -- keep it documented
theorem of_eq_true (h : p = T... |
a8b09facf02bc846cd9555c8dcdd4fa67ed7296c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/subset.lean | adaa063de2080aa4ad4f0a236be6e66300bc9790 | [
"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 | 879 | lean | def Set (α : Type u) := α → Prop
def setOf {α : Type u} (p : α → Prop) : Set α :=
p
namespace Set
protected def mem (a : α) (s : Set α) :=
s a
instance : Membership α (Set α) :=
⟨Set.mem⟩
theorem ext {a b : Set α} (h : ∀ (x : α), x ∈ a ↔ x ∈ b) : a = b :=
funext (fun x => propext (h x))
protected def subset (s₁ s... |
740f47e12e5666ef80fc6d54d51b0e95a06b5558 | 842b7df4a999c5c50bbd215b8617dd705e43c2e1 | /nat_num_game/src/Advanced_Proposition_World/adv_prop_wrld2.lean | 6dfd7db4ffc74c28e029892f969f62520977094d | [] | 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 | 134 | lean | lemma and_symm (P Q : Prop) : P ∧ Q → Q ∧ P :=
begin
intro h,
cases h with p q,
split,
exact q,
exact p,
end |
66d7e26cfd863e6f8400200284414b6a405f61d1 | 6214e13b31733dc9aeb4833db6a6466005763162 | /src/syntax.lean | 8bc154907bb85f44757f596d89d5b08760c9ac07 | [] | no_license | joshua0pang/esverify-theory | 272a250445f3aeea49a7e72d1ab58c2da6618bbe | 8565b123c87b0113f83553d7732cd6696c9b5807 | refs/heads/master | 1,585,873,849,081 | 1,527,304,393,000 | 1,527,304,393,000 | 154,901,199 | 1 | 0 | null | 1,540,593,067,000 | 1,540,593,067,000 | null | UTF-8 | Lean | false | false | 4,215 | lean | -- syntax for values. expressions, terms, propositions, etc.
-- x ∈ VariableNames
@[reducible]
def var := ℕ
-- ⊗ ∈ UnaryOperators
inductive unop
| not : unop
| isInt : unop
| isBool : unop
| isFunc : unop
-- ⊕ ∈ BinaryOperators
inductive binop
| plus : binop
| minus : binop
| times : binop
| div : binop
| and... |
6bf643920c16b26e89abb22c4cece93d86a8c1f6 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/parent_struct_inst.lean | 09861bf5ffc9dfaaa5163ce98fd3b9698b30ea5a | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 177 | lean | open nat
structure [class] A := (n : ℕ)
definition f [A] := A.n
structure B extends A :=
(Hf : f = 0)
example : B := ⟨⟨0⟩, rfl⟩
example : B := (| (| 0 |), rfl |)
|
2c5bc02205f9477be2e5a9226f6800e9a4817c94 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/topology/metric_space/isometry.lean | ac74a4d8475cfd276596f94a27d6e042277810fc | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 14,834 | 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
-/
import topology.metric_space.basic
topology.bounded_continuous_function analysis.normed_space.basic topology.opens
/... |
b12be218997387ab49dd9f62802c510813fe3858 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /hott/init/datatypes.hlean | cdcf59c451acdee1b24aef4fefa90d9b8e624362 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,745 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jakob von Raumer
Basic datatypes
-/
prelude
notation [parsing_only] `Type'` := Type.{_+1}
notation [parsing_only] `Type₊` := Type.{_+1}
notation `Type₀` := ... |
245a68898ff43866b2bf7e51222ca51f859b50b4 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/multiset/nodup.lean | 380632a3e9b7c911876570a2d9e295fdc86eeaca | [
"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 | 9,574 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.multiset.powerset
import data.multiset.range
/-!
# The `nodup` predicate for multisets without duplicate elements.
-/
namespace multiset
open list... |
8c560936cf5907f67aec94d17d4b296656ddb7dd | 976d2334b51721ddc405deb2e1754016d454286e | /src/caltech ma6/set1.lean | 14b7556794fd75d2e85ef55f44035f6e3455481d | [] | no_license | kbuzzard/lean-at-MC2020 | 11bb6ac9ec38a6caace9d5d9a1705d6794d9f477 | 1f7ca65a7ba5cc17eb49f525c02dc6b0e65d6543 | refs/heads/master | 1,668,496,422,317 | 1,594,131,838,000 | 1,594,131,838,000 | 277,877,735 | 0 | 0 | null | 1,594,142,006,000 | 1,594,142,005,000 | null | UTF-8 | Lean | false | false | 2,166 | lean | import tactic
import data.nat.prime
import data.int.modeq
import data.zmod.basic
noncomputable theory
open_locale big_operators
open finset
/-
In the first class we proved that there are infinitely many primes.
This problem asks for an alternative proof.
Let a_n = 2^2^n + 1. Prove that for any positive integer k we ha... |
ef9a6fdc2741d4fd45da2855ac45a862de75c414 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/topology/algebra/monoid.lean | 1638844d7990712271487762ab1d68aa1b2b5477 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 5,692 | 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
Theory of topological monoids.
TODO: generalize `topological_monoid` and `topological_add_monoid` to semigroups, or add a type class
`topological_opera... |
c40715d05372c5e12e51fc72cafd08a9a5e5806f | 88892181780ff536a81e794003fe058062f06758 | /src/lib/sets.lean | 0448ae585430bc746f573646fb06bfd310e0fed4 | [] | no_license | AtnNn/lean-sandbox | fe2c44280444e8bb8146ab8ac391c82b480c0a2e | 8c68afbdc09213173aef1be195da7a9a86060a97 | refs/heads/master | 1,623,004,395,876 | 1,579,969,507,000 | 1,579,969,507,000 | 146,666,368 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,470 | lean | import data.fintype
import data.set.finite
import data.list.basic
universe u
@[reducible]
def all (α : Type u) : set α := λ _ : α, true
class has_upper_bound {α} [has_le α] (s : set α) :=
(ub : α) (h : ∀ x : α, s x → x ≤ ub)
instance upper_bound_eq {k : ℕ} : has_upper_bound (λ x, x = k) := ⟨k, by simp⟩
instance up... |
5ff9da02f0f1fbbba11feee915d93d9b6813008a | 3bdd27ffdff3ffa22d4bb010eba695afcc96bc4a | /src/combinatorics/simplicial_complex/to_move/topology.lean | b6995b8203feaecc32defd69e0d78e61433f2a15 | [] | no_license | mmasdeu/brouwerfixedpoint | 684d712c982c6a8b258b4e2c6b2eab923f2f1289 | 548270f79ecf12d7e20a256806ccb9fcf57b87e2 | refs/heads/main | 1,690,539,793,996 | 1,631,801,831,000 | 1,631,801,831,000 | 368,139,809 | 4 | 3 | null | 1,624,453,250,000 | 1,621,246,034,000 | Lean | UTF-8 | Lean | false | false | 505 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import analysis.convex.topology
import topology.sequences
lemma interior_eq_closure_diff_frontier {X : Type _} [topological_space X] (s : set... |
112ca2e1a63efdaab7b04087fd743c82fd347543 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/monoidal/End.lean | 41d33b7917c10e50678533112b8f589f151ad221 | [
"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 | 2,524 | 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 category_theory.monoidal.functor
/-!
# Endofunctors as a monoidal category.
We give the monoidal category structure on `C ⥤ C`,
and show that when `C` itself... |
5b2076995ef9bae7f7901506a784ffd9d6d0d931 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/finset/sym.lean | 06c02270db1cfcb942dc2214e4e1382c9ce22ea5 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 5,850 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.finset.prod
import data.sym.sym2
/-!
# Symmetric powers of a finset
This file defines the symmetric powers of a finset as `finset (sym α n)` and `finset (sy... |
16ef15988d6c4d97ba25335105be72e851edb7a6 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/fix.lean | f488bcc1b28e4ea768b418641aa2642aab7df2ee | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 5,797 | 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.uint
universe u
def bfix1 {α β : Type u} (base : α → β) (rec : (α → β) → α → β) : Nat → α → β
| 0 a := base a
| (n+1) a := rec... |
96dd33e72391d2c270914a8f16d9e69eaff6009d | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/algebra/group/basic.lean | bcc308d64cd6d388b350f972a1bf142f5bd2f6b4 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 7,438 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Simon Hudon, Mario Carneiro
Various multiplicative and additive structures.
-/
import algebra.group.to_additive
universe u
variable {α : Type u}
@[to_additive add_mono... |
6d1ab99c342969e2cc34fbac32d550f0f2188eea | bf532e3e865883a676110e756f800e0ddeb465be | /number_theory/pell.lean | c25c407fe53d6ffa6be99c1caff7e5c696dcf22d | [
"Apache-2.0"
] | permissive | aqjune/mathlib | da42a97d9e6670d2efaa7d2aa53ed3585dafc289 | f7977ff5a6bcf7e5c54eec908364ceb40dafc795 | refs/heads/master | 1,631,213,225,595 | 1,521,089,840,000 | 1,521,089,840,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 62,344 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.int.basic data.nat.prime data.nat.modeq
/-- The ring of integers adjoined with a square root of `d`.
These have the form `a + b √d` where `a b : ℤ`. Th... |
aed6992f6755b0d2a38525518338e587e9829b59 | dcae127c2dc1af72f429b617281bc29c0bb7d98d | /library/system/io.lean | bb647292f4f49ea4e7c5b8c0d3ce28b8e156a38e | [
"Apache-2.0"
] | permissive | khoek/klean | b06724cd6a2ebf18b561ad3da73804f50e4e978b | 1c7192d599658081442f8100143c7d1c7f5348ef | refs/heads/master | 1,619,532,330,101 | 1,549,083,580,000 | 1,549,083,580,000 | 122,448,575 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,131 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch and Leonardo de Moura
-/
import system.io_interface
/- The following constants have a builtin implementation -/
constant io_core : Type → Type → Type
... |
bf4a13b6637207929b7b5fcc5dc5a098de3fa128 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/real/cau_seq_completion.lean | 4165fb9e24ce7884e8988537bdc6e4d92a46155e | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 9,490 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Robert Y. Lewis
Generalizes the Cauchy completion of (ℚ, abs) to the completion of a
commutative ring with absolute value.
-/
import data.real.cau_seq
namespace cau_s... |
e9411d7a2d99252f7bd20074e8da4e49567da626 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/continuous_on.lean | 27f7c2aa2a6ab1994112f20aafa2257c46a6f611 | [
"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 | 50,500 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.constructions
/-!
# Neighborhoods and continuity relative to a subset
This file defines relative versions
* `nhds_within` of `nhds`
* `co... |
fcdfb4ccb3f9c74c7897d9e71ea7261ee8628a0e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/group_theory/submonoid/membership.lean | b0cf537610c253f1f91c69da04e02580a2fbb891 | [
"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 | 22,070 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import group_theory.submonoid.operations
import algebra.big_operators.ba... |
206239a57b28814780e2ebb197806f09df186c73 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/geometry/euclidean/triangle.lean | 867022189bba5e23822d49ae59bdba0c187e8316 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,796 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import geometry.euclidean.basic
import tactic.interval_cases
/-!
# Triangles
This file proves basic geometrical results about distances and angles
in (possibly degenera... |
c77cc6abf8de0552a85434500a98ff0cfc7ef877 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/normed_space/star/matrix.lean | 035eb8318992f1c5d5251d9de2858da475dca362 | [
"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 | 2,474 | lean | /-
Copyright (c) 2022 Hans Parshall. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Hans Parshall
-/
import analysis.matrix
import analysis.normed_space.basic
import data.is_R_or_C.basic
import linear_algebra.unitary_group
/-!
# Unitary matrices
This file collects fa... |
621a749160b9dcac61d7a89ec71388d361342809 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/big_operators.lean | 8bbb57426bf0ba3441a5eb3820c6a7dd6533c4e4 | [
"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 | 24,873 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Floris van Doorn, Sébastien Gouëzel, Alex J. Best
-/
import algebra.group_power
import data.list.forall2
/-!
# Sums and products from lists
This file provides basic r... |
fffaab40369619d55d145568af63b59b91e66f95 | f3be49eddff7edf577d3d3666e314d995f7a6357 | /TBA/Solutions/Exercise6.lean | 353c14db38a8240e09350f6ab0ca8025d72dffe3 | [] | no_license | IPDSnelting/tba-2021 | 8b930bcd2f4aae44a2ddc86e72b77f84e6d46e82 | b6390e55b768423d3266969e81d19290129c5914 | refs/heads/master | 1,686,754,693,583 | 1,625,135,602,000 | 1,625,136,365,000 | 355,124,341 | 50 | 7 | null | 1,625,133,762,000 | 1,617,699,824,000 | Lean | UTF-8 | Lean | false | false | 11,665 | lean | /- Even more induction! -/
variable (r : α → α → Prop)
-- The reflexive transitive closure of `r` as an inductive predicate
inductive RTC : α → α → Prop where
-- Notice how declaring `r` as a `variable` instead of as a parameter instead of declaring it
-- directly as a parameter of `RTC` means we don't have to wr... |
25545e0762a6195a0db675cdefbfb7b6e02dae09 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/struc_names.lean | 97e9d4889ea75558a1a787ca4371fe5924db3175 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 189 | lean | namespace foo
structure [class] structA :=
mk :: (a : nat)
structure [class] structB extends structA :=
mk :: (b : nat)
#check @structA.a
#check @structB.to_structA
end foo
|
8de8e808c9ac1137cf187ebe1d702eddb3b17a0a | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/meta/expr.lean | 7f1088722cee348f255451ec3b3c889c265a34b0 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41,460 | lean | /-
Copyright (c) 2019 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek, Robert Y. Lewis
-/
import data.string.defs
import data.option.defs
import tactic.derive_inhabited
/-!
# Additional operations... |
8536f910775bf083f09ecfa68048ef967a14253c | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/number_theory/liouville/measure.lean | 2290d01f9573900c02d061d114c7c607b9c8ec2d | [
"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 | 6,210 | 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.measure.lebesgue
import number_theory.liouville.residual
import number_theory.liouville.liouville_with
import analysis.p_series
/-!
# V... |
41d8835ba7bed2fc932edd1b3af67d6a4e255c37 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/ring_theory/adjoin_root.lean | f99196c068ec229a2df5b0fb36137095dea95508 | [
"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 | 16,361 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
-/
import data.polynomial.field_division
import linear_algebra.finite_dimensional
import ring_theory.adjoin.basic
import ring_theory.power_basis
import rin... |
34949d76e6cab17ac8efc3f160876e1824ad494b | 7e15b782f874bcc4192c668a12db901081a9248e | /theorem-proving-in-lean/src/ch_4.lean | 93d63ee2e156fccf366cd53ff529f3ab7fbe1b03 | [] | no_license | Javran/Thinking-dumps | 5e392fe4a5c0580dc9b0c40ab9e5a09dad381863 | bfb0639c81078602e4b57d9dd89abd17fce0491f | refs/heads/master | 1,621,682,942,579 | 1,618,941,860,000 | 1,618,941,860,000 | 7,418,999 | 19 | 4 | null | null | null | null | UTF-8 | Lean | false | false | 7,619 | lean | import data.int.basic
import data.nat.basic
import data.real.basic
namespace ch_4
namespace sec_1
variables (α : Type*) (p q : α → Prop)
example : (∀ x : α, p x ∧ q x) → ∀ y : α, p y :=
begin
intros h y,
have h1 : p y ∧ q y, {apply h},
exact h1.1,
end
end sec_1
namespace sec_3
variables (a b c d e : ℕ)
vari... |
b84558d94875f0e27a8b1fe661cffa9a4a5fa757 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/dependentTypes.lean | e1af0869330da0886edd74b01b0b79261497ee51 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 6,755 | lean | /- A FAMILY OF TYPES ("INDUCTIVE FAMILY")
efine a family of types, *tuple n*, indexed
by natural numbers. For any (n : nat), tuple n
is the type of tuples (of natural numbers) of
length n.
-/
-- nat ⨯ nat
-- ℕ ℕ ℕ
-- (1,2,3)
-- ℕ ⨯ (ℕ×ℕ)
-- (1,(2,3))
-- (1, (2, (3, (4, 5))))
/-
Build a function that takes... |
fc0884afd1e31a90bb7db1d74dd839935b561783 | 51241b440c9d9e72556bd50c272c2654f722af28 | /20170116_POPL/assoc/flat_assoc.lean | 9b8cdb9c8fb898a4ba462291fec0666288098df1 | [
"Apache-2.0"
] | permissive | jroesch/presentations | deb419a483a788fa6bf3c5b4949e151186e9ea6d | b64fd2bf65a64faf16c52729cde0436f0d2f2cca | refs/heads/master | 1,610,543,247,969 | 1,484,284,236,000 | 1,484,284,236,000 | 78,833,725 | 0 | 0 | null | 1,484,298,759,000 | 1,484,298,759,000 | null | UTF-8 | Lean | false | false | 6,989 | lean | /-
In this example, we implement a tactic for "flattening"
terms built using an associative operator. Suppose `op`
is an associative operator. Then, we build a tactic
that given a term such as
(op (op a b) (op c d))
it returns a new term
(op a (op b (op c d)))
and a proof that it is equalt to the given one.
-/... |
a78968e9da495b7711eb658725cebaf19bcadc38 | e1da55f4222dac91b940ca052928eaace09762da | /src/finpartitions.lean | c77fa4a4d17843317bc50fe243ca257b9a5bf19f | [] | no_license | b-mehta/regularity-lemma | c5826e22c280d0b073a4e62dba731f4dd3d1b69f | cf26082b0c88fa54276e6fdc3338c15e607c52c6 | refs/heads/master | 1,658,209,524,267 | 1,644,406,456,000 | 1,644,406,456,000 | 457,327,371 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,242 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import .mathlib
/-!
# Constructions of `finpartition`
-/
open finpartition finset
variables {α : Type*}
section
variables [decidable_eq α]... |
c66504bb949e2bbbd8c5d625512a132c9a7c093b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/KVMap.lean | 624a1f28e8ce4a8aa209854ddf3f886acf7b69ce | [
"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 | 6,681 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data.Name
namespace Lean
/-- Value stored in a key-value map. -/
inductive DataValue where
| ofString (v : String)
| ofBool (v : Bool)
... |
7161f94c62c956eceed3f0587404f5ee7e6a73c7 | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/topology/separation.lean | d70573a39f45d838a668464312179f0fa9efcd75 | [
"Apache-2.0"
] | permissive | jesse-michael-han/mathlib | a15c58378846011b003669354cbab7062b893cfe | fa6312e4dc971985e6b7708d99a5bc3062485c89 | refs/heads/master | 1,625,200,760,912 | 1,602,081,753,000 | 1,602,081,753,000 | 181,787,230 | 0 | 0 | null | 1,555,460,682,000 | 1,555,460,682,000 | null | UTF-8 | Lean | false | false | 22,081 | 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
Separation properties of topological spaces.
-/
import topology.subset_properties
open set filter
open_locale topological_space filter
local attribute ... |
4c644aaa493ecb786b37796ac8d4b1a0073e06fe | 7a468d7c7c0949ab8b191bb62ff6d4d2af9f3917 | /test/false.lean | 3c6e2729c4570e413308987df5bb3e6276bb8a88 | [
"Apache-2.0"
] | permissive | seanpm2001/LeanProver_SMT2_Interface | c15b2fba021c406d965655b182eef54a14121b82 | 7ff0ce248b68ea4db2a2d4966a97b5786da05ed7 | refs/heads/master | 1,688,599,220,366 | 1,547,825,187,000 | 1,547,825,187,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 85 | lean | import smt2
import .test_tactics
lemma false_should_fail : false :=
by must_fail z3
|
7b49e6f8e4abc0a8af49f9219415a8f0143c7688 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/smt_ematch3.lean | a442f82a00d618805b2986b1faa6f75054391b0f | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 1,579 | lean | open nat
notation `⟦`:max a `⟧`:0 := cast (by simp) a
inductive vector (α : Type) : nat → Type
| nil {} : vector 0
| cons : Π {n}, α → vector n → vector (succ n)
namespace vector
local attribute [simp] add_succ succ_add add_comm
variable {α : Type}
def app : Π {n m : nat}, vector α n → vector α m → vector α (n + ... |
cd688fcf6c41d3b99c02aca6f21c8ea760236b94 | e030b0259b777fedcdf73dd966f3f1556d392178 | /library/init/meta/rec_util.lean | 6ab3227e222179d06ad8481505947eedd2505f0a | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 2,875 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Helper tactic for showing that a type has decidable equality.
-/
prelude
import init.meta.tactic
namespace tactic
open expr
/- Return tt iff e's type is of ... |
d3937218daef8ff05ffe64a01958a9c6e1202e67 | 020c82b947b28c4d255384a0466715fbb44e5c1e | /src/fifteeninteractive.lean | d2bb0d841a055606177ab25da5980b3d70d28eff | [] | no_license | SnobbyDragon/leanfifteen | 79ceb751749fa0185c4f9e60ffa2f128e64fbc3c | 4583ab44e1de89a25e693e5e611472a9ba1147b6 | refs/heads/main | 1,675,887,746,364 | 1,609,534,902,000 | 1,609,534,902,000 | 325,708,959 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,436 | lean | import fifteenwidget
/-
Courtesy of Ed Ayers!
Magic so you can do:
begin [fifteen_tactic]
...
end
-/
meta def fifteen_tactic := tactic
namespace fifteen_tactic
open tactic
local attribute [reducible] fifteen_tactic
meta instance : monad fifteen_tactic := infer_instance
meta def step {α : Type} (m... |
ff3f143522d58b329daf6213e1e8aecb3af8ffce | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/ordmap/ordnode.lean | 899fe54c74d88f284419c5233e08c1b0dfc86c67 | [
"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 | 42,067 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.defs
import data.nat.psub
/-!
# Ordered sets
This file defines a data structure for ordered sets, supporting a
variety of useful operations includi... |
9080b7a21f3473457cdff1f0e22a090a19d2d2f0 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/concrete_category/basic.lean | bf12a8c81f6648dd726c78aa57e51e0559ecb80d | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 7,873 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl, Reid Barton, Sean Leather, Yury Kudryashov
-/
import category_theory.types
import category_theory.functor.epi_mono
/-!
# Concrete categories
A concret... |
c116f0e9db9a52b92e70fbd7c799f77a6ff94c8e | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/coprime/basic.lean | 18db40829588895b8ceda2aa54cb04737407785e | [
"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 | 12,357 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Ken Lee, Chris Hughes
-/
import tactic.ring
import group_theory.group_action.units
/-!
# Coprime elements of a ring
## Main definitions
* `is_coprime x y`: that `x` and `y` ar... |
e1a86c7eabb1473495dbc660eba383c7ae2a7172 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/topology/metric_space/hausdorff_distance.lean | 237530fd1767b1575bf4ba6445eafe2539b719ee | [
"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 | 32,398 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
-/
import topology.metric_space.isometry topology.instances.ennreal
topology.metric_space.lipschitz
/-!
# Hausdorff distance
The Hausdorff distance on sub... |
b3249c20f76aa2636f2f7c3baae4f90eecd093ba | 07f5f86b00fed90a419ccda4298d8b795a68f657 | /library/init/core.lean | 99e086a25531894412e21079bd0f83a34c6d3f3a | [
"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 | 17,199 | 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
notation, basic datatypes and type classes
-/
prelude
notation `Prop` := Sort 0
notation f ` $ `:1 a:0 := f a
/- Logical operations and relations -/
reserv... |
c79193bbadcab2a10b853e4423663da820733dba | 9c2e8d73b5c5932ceb1333265f17febc6a2f0a39 | /src/S4/S4_defs.lean | 31defbd67c78f4f39e0228365ab720691eb89871 | [
"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 | 14,115 | lean | /-
Copyright (c) 2018-2019 Minchao Wu. All rights reserved.
Released under MIT license as described in the file LICENSE.
Author: Minchao Wu
-/
import defs data.list.perm .data
open nnf tactic
meta def frame_restriction : tactic unit :=
do intro `a >> `[simp]
structure S4 (states : Type) extends kripke states :=
(ref... |
683b1c809ac2dd7801c3ab76bc087027ca2d83d9 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/int/parity.lean | 99e5127c659ef28a78760541e2637aa7124c10b9 | [
"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 | 7,076 | 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
-/
import data.int.modeq
import data.nat.parity
/-!
# Parity of integers
This file contains theorems about the `even` and `odd` predicates on the inte... |
b2c1315aa17c98639eab0c3ba46631b99c5e6f29 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Environment.lean | ffe54d2352c9d3c6dac80376b7b18012424a749a | [
"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 | 42,348 | 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.Data.HashMap
import Lean.ImportingFlag
import Lean.Data.SMap
import Lean.Declaration
import Lean.LocalContext
import Lean.Util.Path
import Lean.... |
89cfbc4efa9dc791f002fe1d6d124ae6d0b38426 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/over_notation.lean | 1294e2b569f9350a0fab3b952d7b5556c7bf726e | [
"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 | 369 | lean | constant f : nat → nat → nat
constant g : string → string → string
infix ` & `:60 := f
infix ` & `:60 := g
set_option pp.notation false
#check 0 & 1
#check "a" & "b"
#check tt & ff
notation `[[`:max l:(foldr `, ` (h t, f h t) 0 `]]`:0) := l
notation `[[`:max l:(foldr `, ` (h t, g h t) "" `]]`:0) := l
#check [[ (1:... |
49571e522039cab59d429bb8ef55c07ab1365c07 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/group_with_zero/defs.lean | 9cb5b86bc8969432221047b33075c46f840056c7 | [
"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 | 10,935 | 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.group.defs
import logic.nontrivial
import algebra.ne_zero
/-!
# Typeclasses for groups with an adjoined zero element
> THIS FILE IS SYNCHRONIZED WITH... |
38d0017daaeece7b1c841445ea8950329a15ec83 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/ring_theory/polynomial.lean | d3aed5658480572547e753a746e61f7089d1bacc | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 17,137 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Ring-theoretic supplement of data.polynomial.
Main result: Hilbert basis theorem, that if a ring is noetherian then so is its polynomial ring.
-/
import data.mv_polynomial
impor... |
f0c7184b4ff59bacda37c3bfdcc7e29ab87209d2 | 3984ab8555ab1e1084e22ef652544acdfc231f27 | /src/v0.1/dudo.lean | 02a78fe2c6ea62339f812ffb565bcf5941e26159 | [] | no_license | mrakgr/CFR-in-Lean | a35c7a478795cc794cc0caff3199cf28c8ee5448 | 720a3260297bcc158e08833d38964450dcaad2eb | refs/heads/master | 1,598,515,917,940 | 1,572,612,355,000 | 1,572,612,355,000 | 217,296,108 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,971 | lean | import cfr
example (a b : rat) : (¬ a < b) ∧ (¬ b < a) → a = b := by exact eq_of_incomp
def dice := list.to_buffer [1,2,3,4,5,6]
def claims := list.to_buffer [(1,2), (1,3), (1,4), (1,5), (1,6), (1,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,1)]
def AllowedClaim := {i // ∃ v, claims.read i = v}
instance : has_lt Allowed... |
7f94b639a8e0a2de35c604752a1c7b0c4a5a1232 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/ring_theory/witt_vector/basic.lean | 3ca559bedc9fa575ed5a8bb032c290315608d146 | [
"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 | 8,679 | 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 data.mv_polynomial.counit
import data.mv_polynomial.invertible
import ring_theory.witt_vector.defs
/-!
# Witt vectors
This file verifies th... |
ba5a2b5ae222cd2cbe580f1b047c27028ff2dace | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/uniform_space/basic.lean | 017c0677155f49d286a492501aaf0e27ac72474c | [
"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 | 42,560 | 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
Theory of uniform spaces.
Uniform spaces are a generalization of metric spaces and topological groups. Many concepts directly
generaliz... |
46d4123350c4a237a88758e91debc74037b41824 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/computability/primrec.lean | 4b16305ba7f90fd255f9368aea4abe2a8d9366bb | [
"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 | 52,091 | 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... |
0cdcb29d09cf28528dce02ef8bba4cca06eb24dd | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/301.lean | 1146f6091d71d340757597f9d033bc079c3b35fb | [
"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 | WINDOWS-1252 | Lean | false | false | 29 | lean | def ˆ(x:=fun 0=>0)n:=ÿ €
|
74c6574d003900f2ecedf2381d962e800703d81f | 302b541ac2e998a523ae04da7673fd0932ded126 | /tests/playground/main.lean | 42678a9ec5399990fa805d99d070734d5558a2cb | [] | no_license | mattweingarten/lambdapure | 4aeff69e8e3b8e78ea3c0a2b9b61770ef5a689b1 | f920a4ad78e6b1e3651f30bf8445c9105dfa03a8 | refs/heads/master | 1,680,665,168,790 | 1,618,420,180,000 | 1,618,420,180,000 | 310,816,264 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 119 | lean | set_option trace.compiler.ir.init true
unsafe def main : List String → IO UInt32
| _ => do
IO.println(0);
pure 0
|
3a1db273ce61139652463e7ff50fc2f2c2428923 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/lie/base_change.lean | ece76e35fc58deca8c3c2976d78930393074cc57 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,905 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.algebra.restrict_scalars
import algebra.lie.tensor_product
import ring_theory.tensor_product
/-!
# Extension and restriction of scalars for Lie algebras
Li... |
fa01ab4aa41db5151d8d3bdb5eac9e52efbc4e7f | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/cases_bug2.lean | 12aec4b0430a47d9e9b978b088462b523f1bd706 | [
"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 | 81 | lean | open tactic
example (a : nat) : 0 = nat.succ a → false
:= by intro1 >>= cases
|
896bef9e08c2547b30a5063dc23b8c78b09eb877 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/closure1.lean | 1f5135f744d903af6e0ec8d4826a4c25ac2e165d | [
"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 | 1,585 | lean | import Lean
open Lean
open Lean.Meta
universe u
inductive Vec (α : Type u) : Nat → Type u
| nil : Vec α 0
| cons {n} : α → Vec α n → Vec α (n+1)
set_option trace.Meta.debug true
def printDef (declName : Name) : MetaM Unit := do
let cinfo ← getConstInfo declName;
trace[Meta.debug] cinfo.value!
instance : Coe ... |
0a0493b3c5a36303cc8af384648054578eb5f0f4 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /scratch/monad.lean | 9e8e90b414c594a7cf9743267ff7d0671d2cb17e | [] | no_license | ChrisHughes24/single_relation | 99ceedcc02d236ce46d6c65d72caa669857533c5 | 057e157a59de6d0e43b50fcb537d66792ec20450 | refs/heads/master | 1,683,652,062,698 | 1,683,360,089,000 | 1,683,360,089,000 | 279,346,432 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,298 | lean | import group_theory.semidirect_product for_mathlib.coproduct
namespace whatever
noncomputable theory
variables {G : Type} [group G] [decidable_eq G]
variables {H : Type} [group H] [decidable_eq H]
variables {K : Type} [group K] [decidable_eq K]
open free_group semidirect_product
def mul_free : G →* mul_aut (free_g... |
eaea45dfabdcffbc9b713e3c0b821a9e8ec23c48 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/itauto.lean | 5666a142a6faf3691618909136f6d68e566299b5 | [
"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 | 30,328 | lean | /-
Copyright (c) 2021 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import tactic.hint
/-!
# Intuitionistic tautology (`itauto`) decision procedure
The `itauto` tactic will prove any intuitionistic tautology. It implements the well... |
5a66c6cda37f8464cb98d891b649f2152a65cc27 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/finsupp/pwo.lean | 453b5157c147dad3b2ed28cf50c878f328a0b810 | [
"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 | 1,264 | lean | /-
Copyright (c) 2022 Alex J. Best. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alex J. Best
-/
import data.finsupp.order
import order.well_founded_set
/-!
# Partial well ordering on finsupps
This file contains the fact that finitely supported functions from a fin... |
38ced8d67ca05752de9c6426d2ba03cdae350457 | f1a12d4db0f46eee317d703e3336d33950a2fe7e | /common/tactic.lean | 2d0b9005c6ca97a8725548bb60395f8f14e41bc2 | [
"Apache-2.0"
] | permissive | avigad/qelim | bce89b79c717b7649860d41a41a37e37c982624f | b7d22864f1f0a2d21adad0f4fb3fc7ba665f8e60 | refs/heads/master | 1,584,548,938,232 | 1,526,773,708,000 | 1,526,773,708,000 | 134,967,693 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 729 | lean | import .auxiliary
open tactic
meta def tmrk : nat → tactic unit
| n := trace n
meta def pad_print : nat → string → tactic unit
| n s :=
do trace $ spaces n ++ s
meta def print_expr : nat → expr → tactic unit
| k (expr.lam n m d b) :=
pad_print k "lam" >> print_expr (k+2) b
| k (expr.app e1 e2) :=
pad_... |
9a9010005117640cb728a5f065103ecaf58a241c | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/rc_tests.lean | bae15d52c484e400d80310827e3b25a811108260 | [
"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 | 1,139 | lean | new_frontend
universes u v
-- setOption pp.binderTypes False
set_option pp.implicit true
set_option trace.compiler.llnf true
-- set_option trace.compiler.boxed true
namespace x1
def f (x : Bool) (y z : Nat) : Nat :=
match x with
| true => y
| false => z + y + y
end x1
namespace x2
def f (x : Nat) : Nat := x
end... |
df6acd8ab95bca10b4b13f09ce08cf9cb11d9cc3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Elab/Binders.lean | 6f5ab35c6d98cdbaf814d052761d8c3356713b82 | [
"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 | 32,681 | 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.Elab.Quotation.Precheck
import Lean.Elab.Term
import Lean.Elab.BindersUtil
namespace Lean.Elab.Term
open Meta
open Lean.Parser.Term
open TSynta... |
9dde5e631db0ec9593827d55c2c420932f3970ef | 46ee5dc7248ccc9ee615639c0c003c05f58975cd | /src/syntax.lean | 04a8e2ae053121516cf6856e71e3f8f5525aac45 | [
"Apache-2.0"
] | permissive | m4lvin/tablean | e61d593b4dde6512245192c577edeb36c48f63c0 | 836202612fc2bfacb5545696412e7d27f7704141 | refs/heads/main | 1,685,613,112,076 | 1,676,755,678,000 | 1,676,755,678,000 | 454,064,275 | 8 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,481 | lean | -- SYNTAX
import data.set.finite
import algebra.big_operators.basic
-- Definition 1, page 4
@[derive decidable_eq]
inductive formula : Type
| bottom : formula
| atom_prop : char -> formula
| neg : formula → formula
| and : formula → formula → formula
| box : formula → formula
/- Predefined atomic propositions for co... |
fcba291c9497551ca5a67d720956d656a1daee50 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/model_theory/elementary_maps.lean | 483aa970f0a8ff8eeea9a7d5963e29c1282e0c1b | [
"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 | 14,701 | lean | /-
Copyright (c) 2022 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import data.fintype.basic
import model_theory.substructures
/-!
# Elementary Maps Between First-Order Structures
## Main Definitions
* A `first_order.language.eleme... |
2296a70ec0ed2d888846d54d9ee8c82e0f8fa166 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/convex/topology.lean | ab37411b7b782b9f5ce0c07ad71747246fbc6a0b | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 18,864 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudryashov
-/
import analysis.convex.jensen
import analysis.normed.group.pointwise
import analysis.normed_space.finite_dimension
import analysis.normed_space.... |
fa650da6dcfc2b66ea06fadb4e4c0643bf061307 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/quotient_pi.lean | 7ec75b10ca9a4c850b34190dac34343e354d830c | [
"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 | 4,240 | lean | /-
Copyright (c) 2022 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Alex J. Best
-/
import linear_algebra.pi
import linear_algebra.quotient
/-!
# Submodule quotients and direct sums
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes t... |
d84e07ec1d0ab3b24057a0dd79a3dc39639212dd | 856e2e1615a12f95b551ed48fa5b03b245abba44 | /src/data/polynomial/field_division.lean | e71ff2931297670bdddc8a4cb7c0ceb3ee7d65a3 | [
"Apache-2.0"
] | permissive | pimsp/mathlib | 8b77e1ccfab21703ba8fbe65988c7de7765aa0e5 | 913318ca9d6979686996e8d9b5ebf7e74aae1c63 | refs/heads/master | 1,669,812,465,182 | 1,597,133,610,000 | 1,597,133,610,000 | 281,890,685 | 1 | 0 | null | 1,595,491,577,000 | 1,595,491,576,000 | null | UTF-8 | Lean | false | false | 11,885 | 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 data.polynomial.ring_division
import data.polynomial.derivative
import algebra.gcd_domain
/-!
# Theory of univari... |
a4fb8ad5add6a8e2b261d2cc00ffbd4a8c1a70f7 | e2fc96178628c7451e998a0db2b73877d0648be5 | /src/classes/context_sensitive/basics/inclusion.lean | b6d9851ef4d8a742b504cc738c4138b5bb654d5d | [
"BSD-2-Clause"
] | permissive | madvorak/grammars | cd324ae19b28f7b8be9c3ad010ef7bf0fabe5df2 | 1447343a45fcb7821070f1e20b57288d437323a6 | refs/heads/main | 1,692,383,644,884 | 1,692,032,429,000 | 1,692,032,429,000 | 453,948,141 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,844 | lean | import classes.context_sensitive.basics.toolbox
import classes.unrestricted.basics.toolbox
variables {T : Type}
def grammar_of_csg (g : CS_grammar T) : grammar T :=
grammar.mk g.nt g.initial (list.map
(λ r : csrule T g.nt, grule.mk
r.context_left r.input_nonterminal r.context_right
(r.context_left ++ r.ou... |
f65acaa505f6728ad6340920cc26bba49c7067c3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/category_theory/limits/shapes/diagonal.lean | c19b2378a91716dbead909e64e6b5294944ab81b | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 14,910 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.kernel_pair
import category_theory.limits.shapes.comm_sq
/-!
# The diagonal object of a... |
8bfd062a273b736c65c60443cbc711a859ecb644 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/geometry/manifold/diffeomorph.lean | 310c0930ce446a34d7f7215acef96ee11bf3f918 | [
"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 | 4,049 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Nicolò Cavalleri.
-/
import geometry.manifold.times_cont_mdiff_map
/-!
# Diffeomorphisms
This file implements diffeomorphisms.
## Definitions
* `times_diffeomorph I I' M M' n`: `n`... |
b5d223105ad50e6c517351148eaa90ac33afe80f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/algebra/order/proj_Icc.lean | 85437ec1d3ed1d3580a00acee68daff61e7bc7c9 | [
"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 | 2,414 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Patrick Massot
-/
import data.set.intervals.proj_Icc
import topology.algebra.order.basic
/-!
# Projection onto a closed interval
In this file we prove that the proj... |
635930cefe87c06ec6e5e99a65b4eec06da86a91 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /category/basic.lean | ece136f17b7bf43dbe11324ae09abb2fc3c4a072 | [
"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 | 849 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Extends the theory on functors, applicatives and monads.
-/
universes u v w x y
variables {α β γ : Type u}
section monad
variables {m : Type u → Type v} [monad m] [is... |
a10382714d18b9a11d4610c961177108b664b42e | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/data/int/sqrt.lean | 016cbad42dd86ea754e27e292759f2a65f5a308f | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 904 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.nat.sqrt
import data.int.basic
namespace int
/-- `sqrt n` is the square root of an integer `n`. If `n` is not a
perfect square, and is positive, it returns the ... |
d477374fc1e202d279f9f8224bf21fe7ca81ebb8 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/run/ex.lean | 3617ee53fc55289791d1871983c410345927f1ce | [
"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 | 76 | lean | set_option pp.implicit true
#check ∃x, x = (0:num)
#check ∃x:num, x = 0
|
76becdf87885599eeb1b738ca8319755df1946b4 | 13d50f9487a2afddb5e1ae1bbe68f7870f70e79a | /list_attrs.lean | cfb7d0b25ddabbdccbdde6123478a6fceaeef1b1 | [] | no_license | gebner/lean4-mathlib-import | 09a09d9cc30738bcc253e919ab3485e13b8f992d | 719c0558dfa9c4ec201aa40f4786d5f1c1e4bd1e | refs/heads/master | 1,649,553,984,859 | 1,584,121,837,000 | 1,584,121,837,000 | 238,557,672 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 228 | lean | import all
/-
Lean 3 script to dump attributes
-/
open tactic
#eval do
let as := [`class, `instance, `simp],
as.mmap' $ λ a, do
ns ← attribute.get_instances a,
ns.mmap' $ λ n, do
trace $ to_string a ++ " " ++ to_string n
|
aaaabcdd88cb41cd25362d7311749102dfe683c3 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/analytic/radius_liminf.lean | 429adbf102d1ac61e9656db4b62a8505788687d7 | [
"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 | 2,510 | 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.analytic.basic
import analysis.special_functions.pow
/-!
# Representation of `formal_multilinear_series.radius` as a `liminf`
In this file we prov... |
9bb741f6dd21414b79ed9b4a835f7f4287d8db69 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/punit_auto.lean | 961bd2ef2484fcbe3e9498c7bf0ee4d8e50f0e6c | [] | 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 | 716 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.logic
universes u_1
namespace Mathlib
theorem punit_eq (a : PUnit) (b : PUnit) : a = b := punit.rec_o... |
8bcf7478053d4c3832fd05b6f2883ce4dcff6cd2 | ba4794a0deca1d2aaa68914cd285d77880907b5c | /src/solutions/world3_le.lean | cbf5a07e8b6a1f0b6362480d9c095bc6b6d17b90 | [
"Apache-2.0"
] | permissive | ChrisHughes24/natural_number_game | c7c00aa1f6a95004286fd456ed13cf6e113159ce | 9d09925424da9f6275e6cfe427c8bcf12bb0944f | refs/heads/master | 1,600,715,773,528 | 1,573,910,462,000 | 1,573,910,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,931 | lean | import mynat.le
import solutions.world2_multiplication
import tactic.interactive
-- #check tactic.interactive.rintro
meta def less_leaky.interactive.rintro := tactic.interactive.rintro
namespace mynat
theorem le_refl (a : mynat) : a ≤ a :=
begin
use 0,
rw add_zero,
end
-- ignore this; it's making the "refl" t... |
3146ceb44f093d3357d59437c1d43772e7af26f0 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/set.lean | 057ab222b2d43b7a2aa117abbcec082a737ccdba | [
"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 | 132 | lean | import standard bool
using bool
definition set {{T : Type}} := T → bool
infix `∈`:50 := λx A, A x = '1
check 1 ∈ (λ x, '1) |
754ee09b06e46107bd6909e297b99f7cf8e6bd7f | 5883d9218e6f144e20eee6ca1dab8529fa1a97c0 | /src/vrel/properties.lean | 89aa46685a78c01b7a003249624d3c50e0ec1c7e | [] | no_license | spl/alpha-conversion-is-easy | 0d035bc570e52a6345d4890e4d0c9e3f9b8126c1 | ed937fe85d8495daffd9412a5524c77b9fcda094 | refs/heads/master | 1,607,649,280,020 | 1,517,380,240,000 | 1,517,380,240,000 | 52,174,747 | 4 | 0 | null | 1,456,052,226,000 | 1,456,001,163,000 | Lean | UTF-8 | Lean | false | false | 6,410 | lean | /-
This file contains properties of `vrel` relations.
-/
import .identity
namespace acie -----------------------------------------------------------------
namespace vrel -----------------------------------------------------------------
variables {V : Type} [decidable_eq V] -- Type of variable names
variables {a b ... |
f392d83672c0aaa646d873808b8b02bb001bac46 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/elab4b.lean | 5bfb80f4a5b1c43f168014641bcc7c3fa789bc53 | [
"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 | 230 | lean | definition foo.f {A : Type*} {B : Type*} (a : A) (b : B) : A := a
definition boo.f (a : nat) (b : nat) (c : nat) := a + b + c
definition bla.f (a b c d : bool) := a
open boo foo bla
check f 0 1 2 3
check f 0 1
check f tt ff
|
fd4c31ef063a6aac190a04e1dd55222e716b4e7d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/set_theory/zfc/ordinal.lean | 0a3080e266bb918ee43ebb95966e2128f9efb7ea | [
"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 | 3,169 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import set_theory.zfc.basic
/-!
# Von Neumann ordinals
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corr... |
f649e12b68db5fc047bdd30491f90800c849b777 | ac29b4b23012b196d8e8e8fd0482054e994814fb | /Test.lean | bee2d97de04022ca5f79ad29517c3c828b30774d | [] | no_license | laughinggas/Ashvni | ebdcb0ac7486b9d11a0152952da2742246755a5a | 934229f6fd246ce1cd71597ef9a579f4cb9ef0ef | refs/heads/master | 1,672,397,364,924 | 1,602,089,148,000 | 1,602,089,148,000 | 226,743,788 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,829 | lean | import ring_theory.ideals
import ring_theory.principal_ideal_domain
universe u
class discrete_valuation_ring (R : Type u) extends principal_ideal_domain R :=
(prime_ideal' : ideal R)
(primality : prime_ideal'.is_prime)
(is_nonzero : prime_ideal' ≠ ⊥)
(unique_nonzero_prime_ideal : ∀ P : ideal R, P.i... |
2b517b71264dffe3fe490dc5dba17d232f39e384 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/calcInType.lean | 2cafbb5a9a40d3faba2719ce3ac223dcad9126e9 | [
"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 | 404 | lean | inductive EQ {α : Type} (a : α) : α → Type where
| refl : EQ a a
def EQ.trans (h₁ : EQ a b) (h₂ : EQ b c) : EQ a c := by
cases h₁; cases h₂; constructor
instance : Trans (@EQ α) (@EQ α) (@EQ α) where
trans := EQ.trans
infix:50 " ≋ " => EQ
example (h₁ : EQ a b) (h₂ : b = c) (h₃ : EQ c d) : EQ a d := by
calc ... |
dc111d62f90d43a120bd7cff854386787b659667 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/topology/separation.lean | 715f98a6760215c3940ecd442f42fbbdf569fe4a | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 39,163 | 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
Separation properties of topological spaces.
-/
import topology.subset_properties
import topology.connected
open set filter
open_locale topological_spa... |
4c3f64aa40727568bdb30de5e90c77a66771e89d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/int/log.lean | 2ce1f2a995695ffbb059e0ddba34c10aa270ff46 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 12,288 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.order.floor
import data.nat.log
/-!
# Integer logarithms in a field with respect to a natural base
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes... |
e6624a912a7aa551b37ba0f4dbd08e7f332ea620 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/qed_perf_bug.lean | 3501614223fa4ce978ce7c99f8ab03150f981019 | [
"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 | 142 | lean | definition f (n : nat) : nat :=
if n = 100000 then 1 else 0
example (n : nat) : f 100000 = (if (100000 : nat) = 100000 then 1 else 0) :=
rfl
|
436236fee8dd07fbbb0e0b28aacfc71d69d1f141 | 5bf112cf7101c6c6303dc3fd0b3179c860e61e56 | /lean/background/poly.lean | 459e1229f6e9222770ac90de4ac652c587dde068 | [
"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 | 160 | lean | import .util .vec
namespace IMOGrandChallenge
axiom Poly (X : Type) (n : Nat) : Type
axiom Poly.totalDegree {X : Type} (n : Nat) : Nat
end IMOGrandChallenge
|
ae3d32529034f580771f2c42af1382e8729f2bcc | 49bd2218ae088932d847f9030c8dbff1c5607bb7 | /src/order/zorn.lean | abb91e1a478ad89ea3d527f7cd4f896336af72f7 | [
"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 | 12,658 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Zorn's lemmas.
Ported from Isabelle/HOL (written by Jacques D. Fleuriot, Tobias Nipkow, and Christian Sternagel).
-/
import data.set.lattice
noncomputable theory
univ... |
cd5baf10b896a6cc3a2ae4b6fa06d72fa0564b1b | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/category/Module/monoidal.lean | 2347bf8327fd8207057bd3e0bffb129f894c327f | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 5,563 | 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
-/
import category_theory.monoidal.category
import algebra.category.Module.basic
import linear_algebra.tensor_product
/-!
# The monoidal category structu... |
e4c042fc39d5ab834264d00cc9658c3512f4f139 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/calculus/lhopital.lean | 9beb64cbab42e9889ef9bebeea742c643c3f9dfc | [
"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 | 25,021 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import analysis.calculus.mean_value
/-!
# L'Hôpital's rule for 0/0 indeterminate forms
In this file, we prove several forms of "L'Hopital's rule" for computing ... |
22cfaf0609b0fd3874c2155aacadf6e48353db98 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/logic/basic.lean | 7e87d7748c328030dadd8edc218d00794485ec96 | [
"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 | 60,862 | 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
-/
import tactic.doc_commands
import tactic.reserved_notation
/-!
# Basic logic properties
This file is one of the earliest imports in mathlib.
## Im... |
37375757cddf1df41d88f1f1099b782c240deba7 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/ring_theory/fractional_ideal.lean | 39c9d28ae10a2af765356493846750084a4057de | [
"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 | 27,551 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import ring_theory.localization
import ring_theory.principal_ideal_domain
/-!
# Fractional ideals
This file defines fractional ideals of an integral domain and proves bas... |
89b0029a83e1ef6eda510b88bf5f3c07130196e4 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/tensor_power.lean | fe707662fff8cc6efb14d23bede5ac31b7e50849 | [
"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 | 2,515 | 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 linear_algebra.pi_tensor_product
import logic.equiv.fin
import algebra.graded_monoid
/-!
# Tensor power of a semimodule over a commutative semirings
We define the... |
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