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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d28af08eb99e6ae4b97561646b23ae763c179c04 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/algebra/big_operators/nat_antidiagonal.lean | 2f9a0b580d21c4aab61c7d28fbcc1d931255d245 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,365 | 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 data.finset.nat_antidiagonal
import algebra.big_operators.basic
/-!
# Big operators for `nat_antidiagonal`
This file contains theorems relevant to big opera... |
2ba25e786540d3e02a5a8b44fa979effc3c76229 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/measure_theory/measurable_space_def.lean | 845f4cbdd65358a03ee57689cb6f89cf7e2e3358 | [
"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 | 17,619 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import algebra.indicator_function
import data.equiv.encodable.lattice
import data.set.countable
import order.disjointed
import order.filter.basic
impo... |
b5db48f329a5e1d934bff3e493d4d2d85560848e | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/category_theory/preadditive/schur.lean | 18eb795314490df83afb02d1d9b53aaa5810bff0 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,962 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel, Scott Morrison
-/
import category_theory.simple
import category_theory.preadditive
/-!
# Schur's lemma
We prove the part of Schur's Lemma that holds in any preadditive ... |
6f7a5a08f99aebbc2cbab1ad6a41715c2839d9f3 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Init/SizeOf.lean | fa160581e33606b3d46ac29de44d1dd92a4ddc38 | [
"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 | 1,952 | lean | prelude
import Init.Core
universes u v w
/- sizeof -/
class SizeOf (α : Sort u) :=
(sizeOf : α → Nat)
export SizeOf (sizeOf)
/-
Declare sizeOf instances and theorems for types declared before SizeOf.
From now on, the inductive Compiler will automatically generate sizeOf instances and theorems.
-/
/- Every Type ... |
cbfe5622b1a7d591992fe9e7df3afd6da93b7608 | 92b50235facfbc08dfe7f334827d47281471333b | /library/logic/axioms/examples/leftinv_of_inj.lean | 3d4cb153a5fcc46099f5c67109a7e4569d97bef0 | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 1,229 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Classical proof that if f is injective, then f has a left inverse (if domain is not empty).
The proof uses the classical axioms: choice and excluded middle.
... |
92f4c69dab0312025f858227ed37273b740694e6 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast14.lean | f73fdf78e0f2d097355bd31e2a2b8033a98b773c | [
"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 | 335 | lean | set_option blast.init_depth 10
set_option blast.inc_depth 1000
definition lemma1 (p q : Prop) : p ∧ q → q ∧ p :=
by blast
definition lemma2 (p q r s : Prop) : r ∧ s → p ∧ q → q ∧ p :=
by blast
print lemma2 -- unnecessary and.rec's are not included
example (p q : Prop) : p ∧ p ∧ q ∧ q → q ∧ p :=
by blast
|
113a10c004e3501ab91ef3be8fb87feac8f238f0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/Ring/basic.lean | 3853efd1e88ad3321957fa0c5364aaa87d6d215b | [
"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 | 10,219 | 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, Yury Kudryashov
-/
import algebra.category.Group.basic
import category_theory.concrete_category.reflects_isomorphisms
import category_theory.elementwise... |
7b432f5f0d1993ecff64b8057a129dd80258f124 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/elabAsElim.lean | 18c97c027de22bb2a1ca341bc0a968e66dc4b012 | [
"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 | 2,544 | lean | inductive Vec (α : Type u) : Nat → Type u
| nil : Vec α 0
| cons : α → Vec α n → Vec α (n+1)
def f1 (xs : Vec α n) : Nat :=
Vec.casesOn xs 0 fun _ _ => 1
def f2 (xs : Vec α n) : Nat :=
xs.casesOn 0 -- Error insufficient number of arguments
def f3 (x : Nat) : Nat → (Nat → Nat) → Nat :=
x.casesOn
def f4 (xs... |
092d340b562a849bdf48440ae97f10715d367864 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/algebra/order/extr_closure.lean | 89204e085b21e0a3667507efb2f8e850c85a5be9 | [
"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 | 2,392 | lean | /-
Copyright (c) 2022 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import topology.local_extr
import topology.order.basic
/-!
# Maximum/minimum on the closure of a set
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any change... |
3b6afe801beea7ff114da6bf50037ee181967da6 | 4f643cce24b2d005aeeb5004c2316a8d6cc7f3b1 | /src/o_minimal/order.lean | 8d7366bc9e27ee3485a1028422782bbea399a592 | [] | no_license | rwbarton/lean-omin | da209ed061d64db65a8f7f71f198064986f30eb9 | fd733c6d95ef6f4743aae97de5e15df79877c00e | refs/heads/master | 1,674,408,673,325 | 1,607,343,535,000 | 1,607,343,535,000 | 285,150,399 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,261 | lean | import o_minimal.definable
-- Definability of order relations on definable types.
namespace o_minimal
open set
variables {R : Type*} (S : struc R)
variables {X : Type*} [has_coordinates R X] [is_definable S X]
variables {Y : Type*} [has_coordinates R Y] [is_definable S Y]
variables (X)
class is_definable_le [has_... |
345912bca606342b556cb8bf534a1af0bbcfe41d | a7dd8b83f933e72c40845fd168dde330f050b1c9 | /src/category_theory/instances/Top/adjunctions.lean | 367d865f12c3ecc399f8f42a9b158cca5736045f | [
"Apache-2.0"
] | permissive | NeilStrickland/mathlib | 10420e92ee5cb7aba1163c9a01dea2f04652ed67 | 3efbd6f6dff0fb9b0946849b43b39948560a1ffe | refs/heads/master | 1,589,043,046,346 | 1,558,938,706,000 | 1,558,938,706,000 | 181,285,984 | 0 | 0 | Apache-2.0 | 1,568,941,848,000 | 1,555,233,833,000 | Lean | UTF-8 | Lean | false | false | 935 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Patrick Massot, Mario Carneiro
import category_theory.instances.Top.basic
import category_theory.adjunction.basic
universe u
open category_theory
open category_theory.instance... |
e372e89d5d7cdec78e026a9ad45350f141886966 | 7565ffb53cc64430691ce89265da0f944ee43051 | /hott/homotopy/circle.hlean | e75092ebaf1d27adcbff5c885d3f99e82ee864c9 | [
"Apache-2.0"
] | permissive | EgbertRijke/lean2 | cacddba3d150f8b38688e044960a208bf851f90e | 519dcee739fbca5a4ab77d66db7652097b4604cd | refs/heads/master | 1,606,936,954,854 | 1,498,836,083,000 | 1,498,910,882,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,799 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Declaration of the circle
-/
import .sphere
import types.int.hott
import algebra.homotopy_group .connectedness
open eq susp bool sphere_index is_equiv equiv is_tr... |
788ce7689163e0dfa4a9abcb6bf93392264dfc6d | f41725a360d902d3c7939fdf81a5acaf0d0467f0 | /src/new_primitive_element.lean | f4b59cb88189decbb187f7612060c4d691f4ccf2 | [] | no_license | pglutz/galois_theory | 978765d82b7586c21fd719b84b21d5eea030b25d | 4561c2c97d4c49377356e1d7a2051dedc87d30ba | refs/heads/master | 1,671,472,063,361 | 1,603,597,360,000 | 1,603,597,360,000 | 281,502,125 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,065 | lean | import field_theory.adjoin
import linear_algebra.finite_dimensional
import linear_algebra.basic
import data.set.finite
import field_theory.tower
import algebra.gcd_monoid
import field_theory.splitting_field
import field_theory.separable
notation K`⟮`:std.prec.max_plus α`⟯` := field.adjoin K (@singleton _ _ set.has_sin... |
dfd83b29efb36cca353f79d905558fb3ecfa1688 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/field_theory/minpoly.lean | 7620941b99e778bca4595722562039bafbb29fc3 | [
"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 | 23,756 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johan Commelin
-/
import data.polynomial.field_division
import ring_theory.integral_closure
import ring_theory.polynomial.gauss_lemma
/-!
# Minimal polynomials
This file ... |
1eef83fd5f11c07189a11d5764650646f1f22617 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab/SetOption.lean | b41cafda7c9170fd575675cd8043f921ab21da20 | [
"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 | 1,565 | 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.Log
import Lean.Elab.InfoTree
namespace Lean.Elab
variable [Monad m] [MonadOptions m] [MonadExceptOf Exception m] [MonadRef m]
variable [A... |
952549b201df4a46ed822a12e15b14873705f942 | 129f5771900f1805d9509e1257ffa9171942aade | /src/quiz04.lean | 1a8f88aa2ee7ff220ce6fe381e5198060369240b | [] | no_license | UVM-M52/quiz-4-fgdorais | b82983502259c5fa8d58c047748f9b3fab637301 | bb7d6c58a7ac19a13cb2b3af368224196c40bf83 | refs/heads/master | 1,612,533,769,082 | 1,582,902,298,000 | 1,582,902,298,000 | 243,788,689 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 346 | lean | -- Math 52: Quiz 5
-- Open this file in a folder that contains 'utils'.
import utils
definition divides (a b : ℤ) : Prop := ∃ (k : ℤ), b = a * k
local infix ∣ := divides
axiom not_3_divides : ∀ (m : ℤ), ¬ (3 ∣ m) ↔ 3 ∣ m - 1 ∨ 3 ∣ m + 1
theorem main : ∀ (n : ℤ), ¬ (3 ∣ n) → 3 ∣ n * n - 1 :=
begin
sorry
end
|
45108605cb64f0e70494f4e8513533a13cae923e | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/data/polynomial/ring_division.lean | ed44d1e62b1c0e369ba34219250d765ca06d62db | [
"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 | 27,805 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker, Johan Commelin
-/
import data.polynomial.basic
import data.polynomial.div
import data.polynomial.algebra_map
import data.se... |
925433660ffc285cf89d55ba27ddc5c8d568307f | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/sheaves/punit.lean | 67081ab48be0e1e5dfd44a3e76ecc781849081e3 | [
"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 | 2,141 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jujian Zhang
-/
import topology.sheaves.sheaf_condition.sites
/-!
# Presheaves on punit
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR... |
59279833fe63e0c9250d4b98f34a4377e32e5fbd | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/proj_notation.lean | 4d5b324e2d451997aef9da06f81d5116828db9ca | [
"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 | 725 | lean | structure myprod (A B : Type) :=
(fst : A) (snd : B)
variable p : myprod nat nat
variable f : nat → nat
#check p^.fst
#check p^.1
#check p^.2
#check p^.snd
#check f p^.1
#check p^.1 + p^.2
example (A B : Type) : A × B → B × A :=
λ h, ⟨h^.2, h^.1⟩
example (A B : Type) : A × B → B × A :=
λ h, ⟨h^.snd, h^.fst⟩
str... |
68201341df4ac952ea62832b7a7c40977232a58a | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/tactic/aesop/default_rules.lean | a1eb48c2c3168af4c7b2d513238a75ad45c97b20 | [
"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 | 3,526 | lean | /-
Copyright (c) 2021 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import tactic.aesop.rule
import tactic.aesop.config
open expr
namespace tactic
namespace aesop
namespace default_rule
/-!
# split_hyps
This tactic splits product... |
52b2c122a60f331ef85c9b24bc2de7350626851d | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /linear_algebra/submodule.lean | c7ad9a42df240028e701bf247b7b7cad22f7a832 | [
"Apache-2.0"
] | permissive | sebzim4500/mathlib | e0b5a63b1655f910dee30badf09bd7e191d3cf30 | 6997cafbd3a7325af5cb318561768c316ceb7757 | refs/heads/master | 1,585,549,958,618 | 1,538,221,723,000 | 1,538,221,723,000 | 150,869,076 | 0 | 0 | Apache-2.0 | 1,538,229,323,000 | 1,538,229,323,000 | null | UTF-8 | Lean | false | false | 9,595 | lean | /-
Copyright (c) 2018 Mario Carneiro and Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro and Kevin Buzzard
-/
import order.order_iso
import tactic.tidy
import linear_algebra.subtype_module
import linear_algebra.quotient_module
import linea... |
1116d9bc6d4d337cda52d9fba8df9cbf135e61d6 | 3af272061d36e7f3f0521cceaa3a847ed4e03af9 | /src/holomorphic_functions.lean | fc71e40768e566d7fd725db59c3e5ba1fa4d2ef3 | [] | no_license | semorrison/kbb | fdab0929d21dca880d835081814225a95f946187 | 229bd06e840bc7a7438b8fee6802a4f8024419e3 | refs/heads/master | 1,585,351,834,355 | 1,539,848,241,000 | 1,539,848,241,000 | 147,323,315 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 7,807 | lean | import analysis.complex
import algebra.pi_instances
import ring_theory.subring
import analysis.normed_space
local attribute [instance] classical.prop_decidable
noncomputable theory
universes u v
open filter complex
def has_complex_derivative_at
(f : ℂ → ℂ)
(f'z : ℂ)
(z : ℂ) : Prop :=
let error_term (h : ℂ) : ℝ :=
... |
6576eaa994b8fc3bf1695f86cc749d8e84963cc3 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/limits/yoneda.lean | bd8c01348e03e46522c316e0ccd0e72e3e3685ec | [
"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 | 1,507 | 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.limits.limits
/-!
# The colimit of `coyoneda.obj X` is `punit`
We calculate the colimit of `Y ↦ (X ⟶ Y)`, which is just `punit`.
(This is us... |
79d1c7a6ec8a323739988c8a938e38ae22917a33 | 8b8ab1eba67c5c35b51ab27fcf8151aab660e44d | /src/homeos.lean | e3f0f0bbff4fc38a2d5f4fe4e846cafc45d7e82e | [] | no_license | PatrickMassot/lean-scratchpad | ab5e89b69034cc699bf234852822acf74b50f2b9 | 03eec3bfabfc218b79dcbe7c7712bfa024a02625 | refs/heads/master | 1,626,995,046,509 | 1,538,577,853,000 | 1,538,577,853,000 | 115,135,779 | 1 | 2 | null | 1,522,993,992,000 | 1,513,962,994,000 | Lean | UTF-8 | Lean | false | false | 4,792 | lean | import analysis.topology.topological_space
import analysis.topology.continuity
open set function
local notation f`⁻¹` := f.symm
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
[topological_space α] [topological_space β] [topological_space γ] [topological_space δ]
theorem equiv.left_inverse (f : equiv α... |
a53a3644aa052239901018c92be1dbad3fd5fda1 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/single_obj.lean | 3f44b5d16141ff25ef85b1481899c93cf457bb6b | [
"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 | 5,292 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import category_theory.endomorphism
import category_theory.category.Cat
import algebra.category.Mon.basic
/-!
# Single-object category
Single object category with... |
9db9bcb8079b91e2f4d58e319ceeba1971016f88 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/group/type_tags.lean | 5ee1bd499e447929b6319d330ba063cb278e754c | [
"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 | 13,893 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.hom.group
import logic.equiv.basic
/-!
# Type tags that turn additive structures into multiplicative, and vice versa
We define two type tags:
* `addi... |
f9a0cad3378b6b20150c3039457f47bd01fd30f8 | b2c4bd81ed12cc14c20704365f094339d4c894a2 | /src/sym2.lean | fa46150c5b42ad74f4fd107467715c2f74afeee1 | [] | no_license | agusakov/graph_theory_2020 | 711639d9d9b25fd83899620da11ae1753d11d48b | 83a8afc31aa28dbec39a768d6042d3cb515f7a16 | refs/heads/master | 1,669,901,277,114 | 1,596,931,643,000 | 1,596,931,643,000 | 285,154,458 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,152 | lean | /-
Copyright (c) 2020 Kyle Miller All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kyle Miller.
-/
import tactic.linarith
import data.sym
open function
open sym
/-!
# The symmetric square
This file defines the symmetric square, which is `α × α` modulo
swapping. This is... |
7cfa30061aac043a023270c531f0f1bd83b92fc9 | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/e5.lean | d234c376eef359d38d7aa3c2beac97be6ed5ca91 | [
"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 | 1,561 | lean | prelude
definition Prop := Type.{0}
definition false : Prop := ∀x : Prop, x
check false
theorem false.elim (C : Prop) (H : false) : C
:= H C
definition Eq {A : Type} (a b : A)
:= ∀ P : A → Prop, P a → P b
check Eq
infix `=`:50 := Eq
theorem refl {A : Type} (a : A) : a = a
:= λ P H, H
definition true : Prop
:= fa... |
5eed2ce06ca55e1d1f804ef1f2fc7f4d038269d6 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/subtype.lean | 09030e2263953fcb12f4d878b179f401b461eba3 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 4,572 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
-- Lean complains if this section is turned into a namespace
open function
section subtype
variables {α : Sort*} {p : α → Prop}
@[simp] theorem subtype.forall {q : {... |
1599fc75b8c25f094eafdef3075f51d4166323c1 | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /src/03_Conjunction/00_and.lean | 60ad8bdac0de618a43bf4c480d6952dbf27135da | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 18,528 | lean | /-
Intuitively, if a proposition P is true and a
second proposition Q is true, then the more
complex proposition, "P and Q" is also true.
This proposition is written symbolically as
P ∧ Q. In mathematical logic, we say that
the proposition, P ∧ Q, is the conjunction
of the individual propositions, P and Q.
There's ... |
4d3a395d5f1028fb2076a54e2f5b83c6f53c314d | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/init/types.hlean | 19aa3880bf51c28d50eea88aa168ccb8523a0076 | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,113 | hlean | /-
Copyright (c) 2014-2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Floris van Doorn, Jakob von Raumer
-/
prelude
import .num .wf
-- Empty type
-- ----------
namespace empty
protected theorem elim {A ... |
02fa5268f8d01cc3327a0dd2d875cb136ea2bc5a | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/algebra/free_algebra.lean | 942f26adcf72e66931beac101dc9e3bbf1a4ceca | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,192 | lean | /-
Copyright (c) 2020 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison, Adam Topaz.
-/
import algebra.algebra.subalgebra
import algebra.monoid_algebra
import linear_algebra
/-!
# Free Algebras
Given a commutative semiring `R`, and a type `X`, ... |
f7972211fdaa9604673fd906a8b1f37639ddf484 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/limits/shapes/finite_products.lean | 98e9fef3471cd3de3d9904020193b7e01bec6933 | [
"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 | 1,752 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.shapes.products
import category_theory.limits.shapes.finite_limits
import category_theory.discrete_category
import data.fintype.basic
u... |
77a84fc77b76ba07d23c28831bad192bf6501536 | 137c667471a40116a7afd7261f030b30180468c2 | /src/category_theory/limits/shapes/terminal.lean | 03f005b3289a754104ea27e52bcc4f12afe0e4b8 | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,757 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.pempty
import category_theory.limits.has_limits
import category_theory.epi_mono
/-!
# Initial and terminal objects in a category... |
f7bf168e5eb815be42cabaa989af737974530b00 | 61ccc57f9d72048e493dd6969b56ebd7f0a8f9e8 | /src/analysis/specific_limits.lean | dbecc4f9bde24cb1a124691dfd1816fa5764788c | [
"Apache-2.0"
] | permissive | jtristan/mathlib | 375b3c8682975df28f79f53efcb7c88840118467 | 8fa8f175271320d675277a672f59ec53abd62f10 | refs/heads/master | 1,651,072,765,551 | 1,588,255,641,000 | 1,588,255,641,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,559 | 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 algebra.geom_sum
import topology.instances.ennreal
noncomputable theory
open_... |
149b1a69a890446d6577b87803e5eea7b7be3950 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/real/sign.lean | eca1c6d1892b154293fb6081bce6dc1adf5b6fdb | [
"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 | 3,739 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying, Eric Wieser
-/
import data.real.basic
/-!
# Real sign function
This file introduces and contains some results about `real.sign` which maps negative
real numbers to -1, posi... |
b17ccceb2c6b4d371be1e39424b13190baed9924 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/localization/submodule.lean | ef2f6f717de87619d14cb67432345f5a2819848a | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 7,626 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-/
import ring_theory.localization.fraction_ring
import ring_theory.localization.ideal
import ring_theory.principal... |
85c63229c69a6f120ef47f526dfb6200f0576e4e | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/data/nat/prime.lean | 28288fc931a4b71552979d0c75bdfe049d274785 | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,304 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import data.nat.sqrt
import data.nat.gcd
import data.list.sort
import algebra.group_power
import tactic.wlog
import tactic.n... |
707375ff92454b00d92ea2538a2a377fc5275535 | 7a468d7c7c0949ab8b191bb62ff6d4d2af9f3917 | /test/arith.lean | 2b1a45a38d60c101d5219421bcfffdb1a3195341 | [
"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 | 397 | lean | import smt2
import .test_tactics
lemma arith_simple :
forall (x y : int),
x < y →
x + 1 < y + 1000 :=
begin
intros, z3
end
lemma arith_wrong :
forall (x y : int),
x < y →
x + 1 < y :=
begin
intros, must_fail z3
end
lemma lt_trans_by_z3 :
forall (x y z : int),
... |
217ce489f46bb54b9cbdfface05bcea2af66b087 | 3dc4623269159d02a444fe898d33e8c7e7e9461b | /.github/workflows/geo/initial_objet.lean | ca17ac4008c0c4f2fa391ed8be54ee32ceeb7570 | [] | no_license | Or7ando/lean | cc003e6c41048eae7c34aa6bada51c9e9add9e66 | d41169cf4e416a0d42092fb6bdc14131cee9dd15 | refs/heads/master | 1,650,600,589,722 | 1,587,262,906,000 | 1,587,262,906,000 | 255,387,160 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 187 | lean | import .global
import .Spec
open Spec
universes u
local notation `Ring` := CommRing.{u}
local notation `Set` := Type u
namespace INITIAL_OBJ
def initial := Spec ℤ
end INITIAL_OBJ |
709792a20c789bd52911a259ebe7056e0c28040c | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/order/pilex.lean | eb55a2f02c1b2ee7564712ed0da2e698ddc8faec | [
"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 | 4,100 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.order_functions tactic.tauto algebra.pi_instances
variables {ι : Type*} {β : ι → Type*} (r : ι → ι → Prop)
(s : Π {i}, β i → β i → Prop)
def pi.lex (x... |
be4097e591094fce651fe295c62ff25d4f0779d2 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/number_theory/zsqrtd/gaussian_int.lean | e6243ec06cec5f84e223bf313a14ec5bb67236e9 | [
"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 | 12,560 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import number_theory.zsqrtd.basic
import data.complex.basic
import ring_theory.principal_ideal_domain
import number_theory.legendre_symbol.quadratic_reciprocity
/-!
# Gau... |
fc7ab54b01e8f36feb0c5d2fd3c36755f08a6db6 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/congr_tac2.lean | c4f2f107b4bdc755c6f041dd887543061644beef | [
"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 | 1,324 | lean | import data.finset
open finset list
example (A : Type) (f : nat → nat → nat → nat) (a b : nat) : a = b → f a = f b :=
begin
intros,
congruence,
assumption
end
structure finite_set [class] {T : Type} (xs : set T) :=
(to_finset : finset T) (is_equiv : to_set to_finset = xs)
definition finset_set.is_subsingleton ... |
1431b4210a8aac41c586a8c438475b5ecb5fee75 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/data/bitvec/basic.lean | 331269633e8e3355feade8b0a2adcd2e0f4d72a7 | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 3,682 | lean | /-
Copyright (c) 2020 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import data.bitvec.core
import data.fin
import tactic.norm_num
import tactic.monotonicity
namespace bitvec
instance (n : ℕ) : preorder (bitvec n) :=
preorder.lift bitve... |
972e9b23dfe9e07b415094fd399bf124cb9497c9 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /archive/imo/imo1962_q4.lean | 8f1e8cae005b2bdd63eb7779cd6d6a235e7706b7 | [
"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 | 4,149 | lean | /-
Copyright (c) 2020 Kevin Lacker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker, Heather Macbeth
-/
import analysis.special_functions.trigonometric
/-!
# IMO 1962 Q4
Solve the equation `cos x ^ 2 + cos (2 * x) ^ 2 + cos (3 * x) ^ 2 = 1`.
Since Lean ... |
a237224136ea2b7c23b7e8c5254cb77d64dcfd1e | 8b9f17008684d796c8022dab552e42f0cb6fb347 | /tests/lean/unfoldf.lean | 8deb1c48c8413b7a0a50bf869a2db9d769a96848 | [
"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 | 475 | lean | open nat
definition id [unfold-f] {A : Type} (a : A) := a
definition compose {A B C : Type} (g : B → C) (f : A → B) (a : A) := g (f a)
notation g ∘ f := compose g f
example (a b : nat) (H : a = b) : id a = b :=
begin
esimp,
state,
exact H
end
example (a b : nat) (H : a = b) : (id ∘ id) a = b :=
begin
esimp,
... |
bc19f6a88f6d1b6b1ff681292333bdaf5fa6a5e8 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/algebra/restrict_scalars.lean | 03f6a82c1bb314e7bfcfe3ab453ff1ca4f457981 | [
"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 | 6,850 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.algebra.tower
/-!
# The `restrict_scalars` type alias
See the documentation attached to the `restrict_scalars` definition for advice on how a... |
4eff069cff8b5e09d192f0f2b2f2e07c73987800 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/bases.lean | 58cb47dfc3944bbedcd2602da1cfbb3a8794bd9f | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 12,464 | 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
Bases of topologies. Countability axioms.
-/
import topology.constructions
open set filter classical
open_locale topological_space filter
namespace to... |
11cb0c9354747020ce38c2adbd0d2acdfa21df62 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/complex/exponential.lean | 8784b76121b31f1e0d58f9797102e5c96d82cbf1 | [
"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 | 47,836 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir
-/
import algebra.archimedean algebra.geom_sum
import data.nat.choose data.complex.basic
import tactic.linarith
local notation `abs'` := _root_.ab... |
db31df3c28d9082e7587d3f3accd46c0620456bc | 4f065978c49388d188224610d9984673079f7d91 | /hfs.lean | 82678095ec8cb92f1ade1b20f46a8c3f394d2275 | [] | no_license | kckennylau/Lean | b323103f52706304907adcfaee6f5cb8095d4a33 | 907d0a4d2bd8f23785abd6142ad53d308c54fdcb | refs/heads/master | 1,624,623,720,653 | 1,563,901,820,000 | 1,563,901,820,000 | 109,506,702 | 3 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 7,503 | lean | import data.fintype
universes u v
theorem nat.of_le_succ {n m : ℕ} (H : n ≤ m.succ) : n ≤ m ∨ n = m.succ :=
(lt_or_eq_of_le H).imp nat.le_of_lt_succ id
@[elab_with_expected_type]
def nat.le_rec_on {C : ℕ → Sort u} (next : Π {n}, C n → C (n+1)) : Π {n m : ℕ}, n ≤ m → C n → C m
| n 0 H x := eq.rec_on (nat.eq_zero_of_l... |
020c985a81506583f1534dde045ab27fce1749f6 | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world09/level01.lean | 0d8bbc9a9e50fc96da1e21be7491b4f435500583 | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 226 | lean | theorem mul_pos (a b : mynat) : a ≠ 0 → b ≠ 0 → a * b ≠ 0 :=
begin
intros f h j,
cases b with b,
apply h,
refl,
cases a with a,
apply f,
refl,
rw mul_succ at j,
rw add_succ at j,
exfalso,
exact succ_ne_zero _ j,
end
|
a3e77e6b25e5b40b439ff3a68958a0143f6cc6e7 | 1a61aba1b67cddccce19532a9596efe44be4285f | /hott/init/tactic.hlean | dffffe629bb2b293b974ed0696541a53b10710af | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 6,820 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
This is just a trick to embed the 'tactic language' as a Lean
expression. We should view 'tactic' as automation that when execute
produces a term. tactic.buil... |
99302e2ae7910adadacad3e60a23a455d3bce3b3 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch2/ex1002.lean | 6fe33a69de03c4e81cc7d4b50d5e8d49adeb046d | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 182 | lean | def curry (α β γ : Type) (f : α × β → γ) : α → β → γ := λ a b, f (a, b)
def uncurry (α β γ : Type) (f : α → β → γ) : α × β → γ := λ ab, f ab.1 ab.2
|
5b6493bdac1224e7cca8f08a429ed2cd25f1ce51 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /data/nat/basic.lean | 7e3a3d189e264414a40524f5385d5e9edc365811 | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 33,702 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Leonardo de Moura, Jeremy Avigad, Mario Carneiro
Basic operations on the natural numbers.
-/
import logic.basic algebra.ordered_ring data.option.basic
universes u... |
da2be339da0cb25b42b4716668ea0f3b20f85834 | a047a4718edfa935d17231e9e6ecec8c7b701e05 | /src/linear_algebra/basis.lean | 72edcc5f9be173b45b5e51ff03d31a3761067525 | [
"Apache-2.0"
] | permissive | utensil-contrib/mathlib | bae0c9fafe5e2bdb516efc89d6f8c1502ecc9767 | b91909e77e219098a2f8cc031f89d595fe274bd2 | refs/heads/master | 1,668,048,976,965 | 1,592,442,701,000 | 1,592,442,701,000 | 273,197,855 | 0 | 0 | null | 1,592,472,812,000 | 1,592,472,811,000 | null | UTF-8 | Lean | false | false | 54,362 | 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, Alexander Bentkamp
-/
import linear_algebra.finsupp
import linear_algebra.projection
import order.zorn
import data.fintype.card
/-!
# Linear independe... |
bc868142090d3b5d5ec719422839120d58107027 | 8eeb99d0fdf8125f5d39a0ce8631653f588ee817 | /src/ring_theory/derivation.lean | 1bfe06f6b686c3fa3dc9ae62abda08d3c59ee242 | [
"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 | 8,055 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Nicolò Cavalleri.
-/
import algebra.lie.basic
import ring_theory.algebra_tower
/-!
# Derivations
This file defines derivation. A derivation `D` from the `R`-algebra `A` to the `A`-mo... |
6299506fc3fe3729a726744e11bd6b4d96aa8b5c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed/order/lattice.lean | 4370935d7c66637882a918ca2cdc7c4ea33d1dc0 | [
"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 | 8,997 | lean | /-
Copyright (c) 2021 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
import topology.order.lattice
import analysis.normed.group.basic
import algebra.order.lattice_group
/-!
# Normed lattice ordered groups
> THIS FILE IS SYNCH... |
d5b2602b4d5d8c25f2e49b16878fbc926edfafb5 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/topology/uniform_space/equiv.lean | 073dad3b7130697e4199a9ed72f7f3aea3d90823 | [
"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 | 11,785 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Sébastien Gouëzel, Zhouhang Zhou, Reid Barton,
Anatole Dedecker
-/
import topology.homeomorph
import topology.uniform_space.uniform_embedding
import t... |
faa1e346c5b411504cdbc437f960f4e3d71a73a9 | 5e60919d574b821fabd9387be5589c0c4d3f3fe2 | /src/language/unitb/obligations.lean | e0effde1e05e5da54b6575e0af41674411026706 | [] | no_license | unitb/unitb-pointers | 3fc72b873377a12e3f677ccd30143fc001a56c63 | c057420c1e72bba00181bc6db30cf369ef2bfd23 | refs/heads/master | 1,629,969,967,065 | 1,511,386,892,000 | 1,511,386,892,000 | 110,323,164 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 794 | lean |
import language.unitb.scope
open tactic lean lean.parser interactive.types
open tactic.interactive (exact)
open applicative (mmapp) list (map)
meta def po_table := (name_map (list expr × expr))
meta def proof_section (s : scope) (pos : po_table) : parser unit :=
do tk "proofs",
id ← ident <* tk ":=",
(hyp,g) ... |
91d73bf2489bdd53b41f66fb7fbdc4202de6b8b5 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/group_theory/group_action/defs.lean | 0fda7a16b15a89c8f1cd10afb266a425d6f37d4b | [
"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 | 15,736 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yury Kudryashov
-/
import algebra.group.defs
import algebra.group.hom
import algebra.group.type_tags
import logic.embedding
/-!
# Definitions of group actions
This file d... |
7b5d25e1dfb925561652f987e4bd158d1fcec494 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/multiset/pi.lean | 772dd127c50229a31588ad73945d342664235bfc | [
"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 | 5,061 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.multiset.nodup
/-!
# The cartesian product of multisets
-/
namespace multiset
section pi
variables {α : Type*}
open function
/-- Given `δ : α → Type*`... |
666a10e2aeffa1d878bc1b4c77ba3e42d640669e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/pfunctor/multivariate/W.lean | 59dc86e7a3cd607782c1b3dcffb5d6fbe723c822 | [
"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 | 10,613 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Simon Hudon
-/
import data.pfunctor.multivariate.basic
/-!
# The W construction as a multivariate polynomial functor.
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any c... |
2bb3a23cf84c5eb22f438e54b1bd8eca973656ee | 94ec458bb9c7783744397f9a68d867bd7a765e18 | /src/category.lean | f0a5c1b32cb50755e029735756bb02fd8752af4a | [] | no_license | myuon/lean-cate | b8fcfd7965a348155152b3fc7d5041b356721945 | 9e71e61c2a09d64b17ab3145ff6dde564387950a | refs/heads/master | 1,611,236,436,038 | 1,462,408,916,000 | 1,462,408,916,000 | 47,414,605 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,220 | lean | import algebra.relation
open relation
open eq eq.ops
structure setoido :=
(carrier : Type)
(r : carrier → carrier → Prop)
(iseqv : equivalence r)
attribute setoido.carrier [coercion]
namespace setoido
variable {A : setoido}
theorem refl [refl] {a : A} : @setoido.r A a a :=
and.elim_left (setoido.iseqv A... |
3fd5ebfb2897f9cd67a9f1b441faff70bf5f1c7d | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/ring_theory/roots_of_unity.lean | cfd6ff9366a34578116533d8c93c8a0556e62801 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 40,288 | 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 data.nat.parity
import data.polynomial.ring_division
import group_theory.order_of_element
import ring_theory.integral_domain
import number_theory.divisors
imp... |
7db63723d91d8c1fab40414e276436e4617638ca | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/subobject/lattice.lean | e7b6844b4b69eb532d38dd7c31d78b6286e4493d | [
"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 | 22,306 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.subobject.factor_thru
import category_theory.subobject.well_powered
/-!
# The lattice of subobjects
We provide the `semilattice... |
9d31ddcf9e9a69450554d8afa11e800e107459db | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Lean/Meta/Tactic/Constructor.lean | 2e2cb405ee563cf4928161ea2ff47796228262ea | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,158 | 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.Check
import Lean.Meta.Tactic.Util
import Lean.Meta.Tactic.Apply
namespace Lean.Meta
def existsIntro (mvarId : MVarId) (w : Expr) : MetaM... |
d7bb3247844ffd157c73b56041c72d207ed30d82 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/771.lean | f7a7938b1df019a9927f03bfdd8f4341c8c4cd4e | [
"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 | 218 | lean | set_option pp.all true
definition id_1 (n : nat) :=
by exact n
definition id_2 (n : nat) :=
((by exact n) : nat)
definition id_3 (n : nat) : nat :=
by exact n
definition id_4 (n : nat) :=
show nat, by exact n
|
a8a9ef695c40f8fb35c9acb1b97e5cfc44e00e03 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/subobject/basic.lean | be79f761748f6e171c77a8166da79a692ec52d04 | [
"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 | 24,189 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Scott Morrison
-/
import category_theory.subobject.mono_over
import category_theory.skeletal
import category_theory.concrete_category.basic
import tactic.apply_fun
import t... |
72d6b2a29d2e492febc850f322d0510c8c179b9d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/control/ulift.lean | e26a362e1932e1318ea9b9e4c94417bdc49ab4e8 | [
"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 | 3,821 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Jannis Limperg
-/
/-!
# Monadic instances for `ulift` and `plift`
In this file we define `monad` and `is_lawful_monad` instances on `plift` and `ulift`. -/
universes... |
44a1133424a3d643d3265a6a7b7f5a28e7cdd21f | de7b3dbc03c2200899ec842ca1e7cba570a04fa1 | /src/examples.lean | 9b7bb95df9f728a3094d18924d1798d6d20b7958 | [] | no_license | robertylewis/relevance_filter | 4c48a0e02bbeef857f9c67b0f7dc8f3acd5b906a | d11544e08c6d3569410e312baf149412b168ebb4 | refs/heads/master | 1,670,019,263,018 | 1,597,851,640,000 | 1,597,851,640,000 | 105,209,556 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,259 | lean | -- import category.basic
-- import algebra.ordered_monoid
import algebra.big_operators
import algebra.ring
import algebra.group_power
import algebra.group
import algebra.module
import algebra.field
import set_theory.zfc
-- import pending.default
import tactic.finish
import tactic.alias
import tactic.rcases
import tacti... |
82a2b9257f23d6a607fa5cfa8f244cf8587a58f9 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/693.lean | ef3008ecb67a255464a2b82eff0d17e6562a6ccb | [
"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 | 597 | lean | open nat
definition foo [unfold 1 3] (a : nat) (b : nat) (c :nat) : nat :=
(a + c) * b
example (c : nat) : c = 1 → foo 1 c 0 = foo 1 1 0 :=
begin
intro h,
esimp,
state,
subst c
end
example (b c : nat) : c = 1 → foo 1 c b = foo 1 1 b :=
begin
intro h,
esimp, -- should not unfold foo
state,
subst c
en... |
d826415e56b7decbdf3e9ccd9b4b94ef7bbbc1c3 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/category_theory/limits/shapes/constructions/limits_of_products_and_equalizers.lean | 6f9c751ab655ee2a9e49de4dac8dca833d78fc0f | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,746 | 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.limits.shapes.equalizers
import category_theory.limits.shapes.finite_products
/-!
# Constructing limits from products and equalizers.... |
a799d57571da784ff406192e596d1e2e88865c2f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/716.lean | b2ad907ff9afe75d62072d79f71cff1f94adeeaf | [
"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 | 795 | lean | private def eqv (p₁ p₂ : α × α) : Prop :=
(p₁.1 = p₂.1 ∧ p₁.2 = p₂.2) ∨ (p₁.1 = p₂.2 ∧ p₁.2 = p₂.1)
infix:50 " ~ " => eqv
axiom eqv.refl {α} (p : α × α) : p ~ p
axiom eqv.symm {α} : ∀ {p₁ p₂ : α × α}, p₁ ~ p₂ → p₂ ~ p₁
axiom eqv.trans {α} : ∀ {p₁ p₂ p₃ : α × α}, p₁ ~ p₂ → p₂ ~ p₃ → p₁ ~ p₃
private theorem is_equ... |
27c354fe9d054ad8676cc65a6bc7785a349090a3 | 556aeb81a103e9e0ac4e1fe0ce1bc6e6161c3c5e | /src/starkware/cairo/lean/semantics/air_encoding/constraints_autogen.lean | 2ec7f09a5e7cfc4e01bf0b0a649cbaf5bcd2d3d9 | [
"Apache-2.0"
] | permissive | starkware-libs/formal-proofs | d6b731604461bf99e6ba820e68acca62a21709e8 | f5fa4ba6a471357fd171175183203d0b437f6527 | refs/heads/master | 1,691,085,444,753 | 1,690,507,386,000 | 1,690,507,386,000 | 410,476,629 | 32 | 9 | Apache-2.0 | 1,690,506,773,000 | 1,632,639,790,000 | Lean | UTF-8 | Lean | false | false | 17,937 | lean | /- This file is generated automatically by generate_constraints.py. -/
import algebra.field_power
notation `offset_size` := 2^16
notation `half_offset_size` := 2^15
def column (F : Type*) := nat → F
def column.off {F : Type*} (c : column F) (i j : nat) := c (i + j)
structure input_data (F : Type*) :=
(trace_length ... |
c775ddc3a8494efdcb7f2703d6a63b214f9a896b | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/char_lits.lean | 12d4783cee2801f779211a4752ce9f9b0d9bf86d | [
"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 | 323 | lean | import system.io
open io
#check 'a'
#eval 'a'
#eval '\n'
#eval '\\'
variable [io.interface]
#eval put_str ("aaa".str '\\')
#eval put_str $ repr '\n'
#eval put_str $ string.singleton '\n'
#eval put_str ("aaa".str '\'')
#check ['\x7f', '\x00', '\x11', '\xff']
-- ^^ all characters should be pretty-printed using \x escap... |
885c9cece5e2ec4e152f664e168305dda83dc5cb | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/default_field_universe.lean | 09724e747e9647f30db257cd35e4271194effddc | [
"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 | 69 | lean | structure {u} foo (α : Type u) : Type (u+1) :=
(bar : Type u := α)
|
1b6d4e6b380d4099744692bfd9e6f742e26a4460 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/function_auto.lean | 8dfb75351f04de806340007d00d9bc57a05c7973 | [] | 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 | 8,372 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.prod
import Mathlib.Lean3Lib.init.funext
import Mathlib.Lean3Lib.init.l... |
8c420995b1f0fab008feb550f0b28a0dc5df06c9 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/param_binder_update.lean | d1a90576099386bcace7151429549f3058ed1cfa | [
"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 | 1,123 | lean | section
parameter {A : Type}
parameter A
-- definition id (a : A) := a
parameter {A}
definition id₂ (a : A) := a
end
check @id
check @id₂
section
parameters {A : Type} {B : Type}
definition foo1 (a : A) (b : B) := a
parameters {A} (B)
definition foo2 (a : A) (b : B) := a
parameters (A) {B}... |
fd63c8c37d00b000ea1df430ae85dd44920434e3 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/group_theory/perm/cycles.lean | e87ab664e10caf3ac6a30edf834ba6a1975dbb39 | [
"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 | 7,487 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import group_theory.perm.sign
import group_theory.order_of_element
namespace equiv.perm
open equiv function finset
variables {α : Type*} {β : Type*} [decidable_eq α]
de... |
e2bed9dbd76c452a20eccdce582fb91f79cb6c5d | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/probability/variance.lean | 55c010f4ed306153bcbac7d260e375e4c0eb7691 | [
"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 | 10,721 | lean | /-
Copyright (c) 2022 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import probability.notation
import probability.integration
/-!
# Variance of random variables
We define the variance of a real-valued random variable as `Var[... |
014494d97ade825d47f0461a7814153a1530feea | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/equiv/fin.lean | 52fba387a63866e09f5dac5d66af693b3f16f635 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 2,851 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau
Equivalences between finite numbers.
-/
import data.fin data.equiv.basic
variables {m n : ℕ}
def fin_zero_equiv : fin 0 ≃ empty :=
⟨fin_zero_elim, empty.elim, assume a, fin_zero... |
608a99f2484db4ab015cb1dac195a639e96b19fb | 59a4b050600ed7b3d5826a8478db0a9bdc190252 | /src/category_theory/sheaves/of_types.lean | 4fac84f30200165691600bbc6c67f293ae1b52cf | [] | no_license | rwbarton/lean-category-theory | f720268d800b62a25d69842ca7b5d27822f00652 | 00df814d463406b7a13a56f5dcda67758ba1b419 | refs/heads/master | 1,585,366,296,767 | 1,536,151,349,000 | 1,536,151,349,000 | 147,652,096 | 0 | 0 | null | 1,536,226,960,000 | 1,536,226,960,000 | null | UTF-8 | Lean | false | false | 2,391 | lean | import category_theory.sheaves
import category_theory.universal.continuous
import category_theory.functor.isomorphism
universes u v
open category_theory
open category_theory.limits
open category_theory.examples.topological_spaces
-- We now provide an alternative 'pointwise' constructor for sheaves of types.
-- This... |
2fabb6ca07ab186fed9a581ecf07cd77c87d9bd1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/invertible.lean | e5cc36b3097853e62b0447377d87600c0d90a0de | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,898 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
A typeclass for the two-sided multiplicative inverse.
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.char_zero
import Mathlib.algebra.ch... |
72f4579d10fe0e608d4e756eff53c8dc352698a2 | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Lean/PrettyPrinter/Delaborator/Builtins.lean | cb39f4c7e4042b2ef015526f79a6da11c4100d66 | [
"Apache-2.0"
] | permissive | 3401ijk/lean4 | 97659c475ebd33a034fed515cb83a85f75ccfb06 | a5b1b8de4f4b038ff752b9e607b721f15a9a4351 | refs/heads/master | 1,693,933,007,651 | 1,636,424,845,000 | 1,636,424,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 31,794 | lean | /-
Copyright (c) 2020 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.PrettyPrinter.Delaborator.Basic
import Lean.PrettyPrinter.Delaborator.SubExpr
import Lean.PrettyPrinter.Delaborator.TopDownAnalyze
import Lean.Pars... |
83304972e8c0fd7a7f6e8cd84d36924f7dab4b3a | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/lattice_intervals.lean | 9e23af95d037906bdfe096ea63a4c3cedc61ce4d | [
"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 | 5,221 | 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.bounds
/-!
# Intervals in Lattices
In this file, we provide instances of lattice structures on intervals within lattices.
Some of them depend on the o... |
958523c79298329489ec4d7efcc9bf5a035adb0f | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/list/forall2.lean | 16c552c1db6ae1cabdced4beb4b6aa9468eb7e3c | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,433 | 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... |
557c8418fa4b90f91d9753e08b1df5ad75eaeb88 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/matrix.lean | 45b429a99d94e3752a5121f32f170bd5737d484e | [
"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 | 20,764 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Eric Wieser
-/
import analysis.normed_space.basic
import analysis.normed_space.pi_Lp
import analysis.inner_product_space.pi_L2
/-!
# Matrices as a normed space
> TH... |
58c8d905ca07b8a97fc93a015bca7f11dca29e8e | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed/group/hom.lean | 3f6b02c9df52e382ffae624f9433b55122489ee8 | [
"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 | 32,742 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import analysis.normed.group.basic
/-!
# Normed groups homomorphisms
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding P... |
d8b8396706b6cd4e4767d72699ffd75109f5065e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/clifford_algebra/conjugation.lean | b873ea112f1c2db16ebac0b5ba99ecb4b8f5c327 | [
"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 | 9,776 | lean | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.clifford_algebra.grading
import algebra.module.opposites
/-!
# Conjugations
This file defines the grade reversal and grade involution functions on m... |
8f7a7a6f23d5fe2f908b3d545ca288ab063aee68 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/measure/haar.lean | b0dd4792f8e1bc963b40fa928654b082eba7217b | [
"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 | 36,860 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import measure_theory.measure.content
import measure_theory.group.prod
/-!
# Haar measure
In this file we prove the existence of Haar measure for a locally comp... |
7f2b372693640b9a6f71c2a350d0486907b4d3f9 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /old_library/init/meta/format.lean | be862acca7947fad042e3205d3d7d6863c362c7c | [
"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 | 5,729 | 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.options
universe variables u v
inductive format.color
| red | green | orange | blue | pink | cyan | grey
meta_constant format : ... |
e654d55e2dc6cded3f42f5b4fc6aadb031bbc9f0 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/equiv/mul_add_aut_auto.lean | 7e47bb514e0ce7550518055d27ea0bef5f570520 | [] | 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 | 5,494 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.equiv.mul_add
import Mathlib.group_theory.perm.basic
i... |
161359aecaa4ae8a03daede37dffdb82d47e36a1 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/user_command.lean | 1e247f86778874ff759ca4370d3a7df306d13313 | [
"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 | 591 | lean | open lean
open lean.parser
open interactive
open tactic
-- missing tk
@[user_command]
meta def foo_cmd : parser unit := pure ()
-- wrong return type
@[user_command]
meta def foo_cmd (_ : parse $ tk "foo") : unit := ()
foo
@[user_command]
meta def foo_cmd (_ : parse $ tk "foo") : parser unit :=
trace "foo"
run_cmd ... |
d5911e9163bcab0a52196b06f9f296ee6905e19f | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/model_theory/basic.lean | 047ac9598fa707a3007273390606ec6afe9ff208 | [
"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 | 29,175 | lean | /-
Copyright (c) 2021 Aaron Anderson, Jesse Michael Han, Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jesse Michael Han, Floris van Doorn
-/
import category_theory.concrete_category.bundled
import data.fin.tuple.basic
import data.fin... |
ce50f21814ead6b831a702833f1b0547e7231b0f | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/pseudo_normed_group/sum_hom.lean | c52fa91899bc926eb1b70e88fd412f2915aab776 | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,622 | lean | import rescale.pseudo_normed_group
noncomputable theory
open_locale nnreal big_operators
local attribute [instance] type_pow
section
variables {r' : ℝ≥0} (M : Type*) (N : ℕ)
namespace profinitely_filtered_pseudo_normed_group
variables [profinitely_filtered_pseudo_normed_group M]
def unrescale (N : ℝ≥0) (M : Type... |
40566dccacf36313706b866fd21e32462ccfde29 | 670b1582ba4780d3b4a49063d5afea44a337bc24 | /src/leanhammer.lean | 5aa66c0435471eef15e3d2ac5920d1af39f88710 | [] | no_license | robertylewis/Lean_hammer | 9bd8a75cb6fc76b3387c84f0678ccfd69fa10c88 | 7c8b6235c064fac164cbd389c8d459bd106e09b1 | refs/heads/master | 1,587,608,490,192 | 1,550,228,670,000 | 1,550,228,670,000 | 170,843,813 | 0 | 0 | null | 1,550,225,214,000 | 1,550,225,213,000 | null | UTF-8 | Lean | false | false | 4,777 | lean | import system.io
import .tptp.tptp
import .premise_selection
import .tptp.simplification_tptp
import .tptp.translation_tptp
import .problem_translation
--#################
--## System test ##
--#################
-- def sum_two (x: ℕ) (y: ℕ) : ℕ := x+y
-- Inductive declaration because the simple version above is not ... |
d4bdb8daa49507fe080db4a54f393e310b6ede92 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/convex/contractible.lean | 6d06aa1c54b9e39899fb8f06bed750498eec4862 | [
"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 | 1,627 | lean | /-
Copyright (c) 2022 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.convex.star
import topology.homotopy.contractible
/-!
# A convex set is contractible
In this file we prove that a (star) convex set in a real topo... |
3d12218be662de4ee981f8722046c5c50f816b7d | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/semicontinuous.lean | d62e6cd694c967f196ee92db58e0a80ae11c7a07 | [
"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 | 43,389 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import algebra.indicator_function
import topology.algebra.group
import topology.continuous_on
import topology.instances.ennreal
/-!
# Semicontinuous maps
A fu... |
26ba40ebb8465db2ac9b90a97cd72845d6f0b355 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Leanpkg/Build.lean | 8b396d7d6c3a15cec2e60ce45c3f07d0027f8c40 | [
"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 | 3,607 | lean | /-
Copyright (c) 2021 Sebastian Ullrich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
import Lean.Data.Name
import Lean.Elab.Import
import Leanpkg.Proc
open Lean
open System
namespace Leanpkg.Build
def buildPath : FilePath := "build"
def tempB... |
d30662f4ac89ddd641faecf8e29156b7d357bd1a | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /stage0/src/Lean/Elab/Util.lean | 409d4a04960c04a4aa426bf0867c3037242d9d61 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,862 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.Trace
import Lean.Parser.Extension
import Lean.KeyedDeclsAttribute
import Lean.Elab.Exception
namespace Lean
def Syntax.prettyPrint (stx ... |
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