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25be2d8701a07b11267fa1fc672713b2c549f5a2 | 1a2aed113dcb5f1c07ae98040953fba5e6563624 | /lean_root/src/tao_ch9.lean | e776f1d7960650a59dc9394fb5932a4453e4723f | [
"Apache-2.0"
] | permissive | kevindoran/lean | 61d9fb90363b04587624036136482b29e3c16ebd | 77e755095a31e3a214010eb48a61e48d65dfdec9 | refs/heads/master | 1,670,372,072,769 | 1,598,920,365,000 | 1,598,920,365,000 | 264,824,992 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,118 | lean | /-
Notes
-----
A set seems to be the lambda λα : Type → Prop
`mem` takes a set and another input and simply applies the set to the other.
protected def mem (a : α) (s : set α) :=
s a
∈ is defined in library/init.core.lean.
infix ∈ := has_mem.mem
with has_mem.mem having the definition:
class has... |
21ee442dd44585d4eb5f184f751a82590842a6b5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/group_completion_auto.lean | 2c6a94975f006849ca46b361daeee808242fc1bc | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,842 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
Completion of topological groups:
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.uniform_space.completion
import... |
e5d590c3a34ea9c6e3ab6371d9c12d625e176c16 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/topology/algebra/multilinear.lean | fe349c037ab8bee6a66490fdda32f6a767e6995b | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 16,086 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.algebra.module
import linear_algebra.multilinear
/-!
# Continuous multilinear maps
We define continuous multilinear maps as maps from `Π(i : ι... |
d008139e0f94f721fcbdf8637beaebb68e08cc53 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/polynomial/denoms_clearable.lean | 36cde53bb00901f554282b6fe0886d95c685b57e | [
"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 | 4,689 | lean | /-
Copyright (c) 2020 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.polynomial.erase_lead
import data.polynomial.eval
/-!
# Denominators of evaluation of polynomials at ratios
Let `i : R → K` be a homomorphism of semirings... |
1c8edae700f7fb22621f68ffbd8ce2b4b3fc42a0 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/linear_algebra/adic_completion.lean | 161f4c3ad06dd7120a6cb2de4e70b479308955f7 | [
"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 | 10,023 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.geom_sum
import linear_algebra.smodeq
import ring_theory.ideal.quotient
import ring_theory.jacobson_ideal
/-!
# Completion of a module with respect to an ideal... |
cc25c6a53ec49efe2007dca6a84692769c18b7b6 | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /src/tidy/lock_tactic_state.lean | cccd9149823330d13d98b33d82bc91051ad2c3e9 | [] | no_license | minchaowu/lean-tidy | 137f5058896e0e81dae84bf8d02b74101d21677a | 2d4c52d66cf07c59f8746e405ba861b4fa0e3835 | refs/heads/master | 1,585,283,406,120 | 1,535,094,033,000 | 1,535,094,033,000 | 145,945,792 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 438 | lean | /-- This makes sure that the execution of the tactic does not change the tactic state.
This can be helpful while using rewrite, apply, or expr munging.
Remember to instantiate your metavariables before you're done! -/
meta def lock_tactic_state {α} (t : tactic α) : tactic α
| s := match t s with
| resul... |
babf81e304e09c58049464c8e96cf745129b208f | 750acab0c635b67751bcfec43c5411aa3941c441 | /q_fourier_xform.lean | ef13dc30e495235ba245922e8275b5aa259a9488 | [] | no_license | nthomas103/lean_work | 912f8e662cdd73ba97f5d3655ddb8a5d2cd204c9 | 7e9785cae2b60a77b41922fd5d5b159a1fae415c | refs/heads/master | 1,586,739,169,355 | 1,455,759,226,000 | 1,455,759,226,000 | 50,978,095 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,408 | lean | import standard data.matrix
open nat matrix matrix.ops real complex fin
open sigma prod prod.ops sigma.ops list
definition mx [reducible] (d : ℕ × ℕ) := matrix ℂ d.1 d.2
constant tensor_product {da db}
(A : mx da) (B : mx db) : mx (da.1*db.1,da.2*db.2)
infixl `⊗`:100 := tensor_product
constant mx_one : m... |
aef8d4f6ecaaee0193b1d2467d1f329a72dc4483 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/number_theory/sum_four_squares.lean | 3b298a43a83dce8b1039814200d9ee0a841f60a7 | [
"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 | 11,810 | 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.group_power.identities
import data.zmod.basic
import field_theory.finite.basic
import data.int.parity
import data.fintype.card
/-!
# Lagrange's four squa... |
39abcced58824aaa3b6f2f42dfdf5c0fad016a09 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Parser/Level.lean | dc71411c0b98e43967e777eac9e0374010e2fee5 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 994 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Lean.Parser.Parser
namespace Lean
namespace Parser
@[init] def regBuiltinLevelParserAttr : IO Unit :=
registerBuilt... |
061699893ce17055f4abdd64f89cfaf2240ccb9d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/expandWhereStructInstIssue.lean | d8c9ea2406b7355137acc3473019121c428f13a0 | [
"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 | 117 | lean | instance [Alternative m] : MonadLiftT Option m where
monadLift := fun
| some a => pure a
| none => failure
|
bd71773ccc8f44c3e43e19148de45b9fbdd08d55 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/mvar3.lean | a5494cf603e132976cfba2269c402e9fd61188b8 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 2,852 | lean | import Init.Lean.MetavarContext
open Lean
def mkLambdaTest (mctx : MetavarContext) (ngen : NameGenerator) (lctx : LocalContext) (xs : Array Expr) (e : Expr)
: Except MetavarContext.MkBinding.Exception (MetavarContext × NameGenerator × Expr) :=
match MetavarContext.mkLambda xs e lctx { mctx := mctx, ngen := ngen } ... |
3bfdd91901b65a91f5ad335b7ebd481e7516326a | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /library/tools/super/clausifier.lean | 1cf04009ad3ead9992c6e3eb5bb9550f43819049 | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 10,792 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .clause_ops
import .prover_state .misc_preprocessing
open expr list tactic monad decidable
universe u
namespace super
meta def try_option {a : Type u}... |
a26d7b5096a3b14c79a105a6625d1567e5288d6f | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/matrix/basic.lean | 56995376e726ef7c6b5b4f0acf3f341343f98983 | [
"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 | 79,406 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin, Lu-Ming Zhang
-/
import algebra.algebra.basic
import algebra.big_operators.pi
import algebra.big_operators.ring
import ... |
e4e5bcaff289e3e67ba98af266d0547894807346 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/antiquotRecovery.lean | a1be49161a849b8aadc06bba85d6290b0a11299c | [
"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 | 184 | lean | syntax "foo " (" bar " ident)? : tactic
macro_rules
-- should not complain about `$id` not being a valid command and create a snapshot for it
| `(tactic| foo $[bar $id]) => sorry
|
2f138c16ff71b9362a53e475c90ef06b5122c656 | 42610cc2e5db9c90269470365e6056df0122eaa0 | /library/theories/finite_group_theory/newpgroup.lean | faa44ffd7c130aa69d6118c52729d9726a40f06a | [
"Apache-2.0"
] | permissive | tomsib2001/lean | 2ab59bfaebd24a62109f800dcf4a7139ebd73858 | eb639a7d53fb40175bea5c8da86b51d14bb91f76 | refs/heads/master | 1,586,128,387,740 | 1,468,968,950,000 | 1,468,968,950,000 | 61,027,234 | 0 | 0 | null | 1,465,813,585,000 | 1,465,813,585,000 | null | UTF-8 | Lean | false | false | 7,596 | lean | import algebra.group theories.finite_group_theory.subgroup theories.finite_group_theory.finsubg
theories.finite_group_theory.cyclic theories.finite_group_theory.perm
theories.finite_group_theory.action
import theories.finite_group_theory.extra_action theories.finite_group_theory.quotient theories.finite_group_theory.ex... |
2cae0b4fac62355992718adae9ac16bf077bc431 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/keyAttrErase.lean | b6862ddcc369d855d669100a52e6ab75f0418c84 | [
"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 | 124 | lean | theorem ex {i j : Fin n} (h : i = j) : i.val = j.val :=
h ▸ rfl
attribute [-app_unexpander] unexpandEqNDRec
#print ex
|
ba89f345e53d9458f55218233293b14b519deeb3 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/run/blast_cc2.lean | a97880c60d72cc982f3741c809ab970b61661010 | [
"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 | 632 | lean | set_option blast.init_depth 10
set_option blast.inc_depth 100
set_option blast.subst false
example (a b c d : nat) : a == b → b = c → c == d → a == d :=
by blast
example (a b c d : nat) : a = b → b = c → c == d → a == d :=
by blast
example (a b c d : nat) : a = b → b == c → c == d → a == d :=
by blast
example (a b ... |
101939394e33afdd81f4436c8c1436fb60542b65 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/category_theory/subobject/factor_thru.lean | 19cdeee54b727bb6ce744945768bc4b80a77a5fa | [
"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 | 6,838 | 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.basic
/-!
# Factoring through subobjects
The predicate `h : P.factors f`, for `P : subobject Y` and `f : X ⟶ Y`
asser... |
d25acb21032493e83c35f2771bf3ffe4c17619ec | 47181b4ef986292573c77e09fcb116584d37ea8a | /src/for_mathlib/valuations.lean | 386073f92d7892f85e928754800ab7712e697afa | [
"MIT"
] | permissive | RaitoBezarius/berkovich-spaces | 87662a2bdb0ac0beed26e3338b221e3f12107b78 | 0a49f75a599bcb20333ec86b301f84411f04f7cf | refs/heads/main | 1,690,520,666,912 | 1,629,328,012,000 | 1,629,328,012,000 | 332,238,095 | 4 | 0 | MIT | 1,629,312,085,000 | 1,611,414,506,000 | Lean | UTF-8 | Lean | false | false | 559 | lean | import data.real.basic
import data.real.cau_seq
import .nat_digits
import .list
lemma list.abv_sum_le_sum_abv
{α β} [ring α] [linear_ordered_field β]
(abv: α → β)
[habv: is_absolute_value abv]
(L: list α): abv (L.sum) ≤ (L.map abv).sum :=
begin
induction L with hd tl hl,
{ simp [list.map, is_absolute... |
4f3379fd3fc3a63d9138fc4d042bb7bfd0948d7c | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/tactic7.lean | 4f96b4995397e6051fedd00cd69ee987084c4798 | [
"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 | 334 | lean | import logic
open tactic
theorem tst {A B : Prop} (H1 : A) (H2 : B) : A ∧ B ∧ A
:= by apply and.intro; state; assumption; apply and.intro; repeat assumption
check tst
theorem tst2 {A B : Prop} (H1 : A) (H2 : B) : A ∧ B ∧ A
:= by repeat ((apply @and.intro | assumption) ; trace "STEP"; state; trace "----------")
check... |
55735f178296b3f8c8bfdecc1269fab7b8daf9ad | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/ofNat_class.lean | a96d3116d6313b3ef30040f8d545815a838f6e0c | [
"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 | 421 | lean | import Lean
open Lean
local macro "ofNat_class" Class:ident n:num : command =>
let field := Lean.mkIdent <| Class.getId.eraseMacroScopes.getString!.toLower
`(class $Class:ident.{u} (α : Type u) where
$field:ident : α
instance {α} [$Class α] : OfNat α (nat_lit $n) where
ofNat := ‹$Class α›.1
instance ... |
16b259e20134dc189db11136623c45ac7204cfd7 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/inaccessible.lean | d06ce29d74bbaa70ef3aef380f01b41d414874cb | [
"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 | 3,394 | lean | universe variables u v
inductive imf {A : Type u} {B : Type v} (f : A → B) : B → Type (max 1 u v)
| mk : ∀ (a : A), imf (f a)
definition inv_1 {A : Type u} {B : Type v} (f : A → B) : ∀ (b : B), imf f b → A
| .(f a) (imf.mk .(f) a) := a
definition inv_2 {A : Type u} {B : Type v} (f : A → B) : ∀ (b : B), imf f b → A
|... |
18f6a0b1a49268e8c48a44f779f168565d44222c | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/noncomputable_meta.lean | c2435fe503820618d5b744073f385dc208789a51 | [
"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 | 91 | lean | constants (X : Type) (x y : X)
noncomputable meta def foo : bool -> X
| tt := x
| ff := y
|
06f049dfeed7b27e39636e106eeb5b8fb51a5b2f | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/interactive/info1.lean | 6d6510ad3d933760d520446318a93af612f45e39 | [
"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 | 147 | lean | def foo.f : nat → nat := λ x, x
def bla.f : string → string := λ x, x
open foo bla
example : nat := f 0
--^ "command": "info"
|
770888b9b0af4e112f18d4064403adeac5eb93b5 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/list/perm.lean | 4c4e06678b360189ab1f454beb2e4fdaf7b37d22 | [
"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 | 54,143 | 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.list.erase_dup
import data.list.lattice
import data.list.permutation
import data.list.zip
import logic.relation
... |
2400f70def24990544c5c848fb669c4c8ffe023b | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/zmod/basic.lean | 7de13bf84899fb02da1eba4e2b8c223faa89ef14 | [
"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 | 21,638 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
-/
import data.int.modeq data.int.gcd data.fintype.basic data.pnat.basic tactic.ring
/-!
# Integers mod `n`
Definition of the integers mod n, and the field structure on th... |
c64ca59591b20fa301e08fc29e154b2c2c0a763b | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/homotopy/cofiber.hlean | 7ff1801e0d1a0a6ab893504e0fc2c40cf88c0a4f | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 3,663 | hlean | /-
Copyright (c) 2016 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer
The Cofiber Type
-/
import hit.pointed_pushout function .susp
open eq pushout unit pointed is_trunc is_equiv susp unit
definition cofiber {A B : Type} (f : A → B)... |
ce6ee98d8749c925a6aa19af971bacc7a14a704f | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/group_theory/subgroup.lean | 41560dee4740493b47124622b966c5ba84229e7e | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 44,719 | lean | /-
Copyright (c) 2020 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import group_theory.submonoid
import algebra.group.conj
/-!
# Subgroups
This file defines multiplicative and additive subgroups as an extension of submonoids, in a bundle... |
0eabeb2a7a5ee60fff38e4e44ed1164a4287d589 | 8930e38ac0fae2e5e55c28d0577a8e44e2639a6d | /logic/basic.lean | 84d1de98bd60e41fd8ea085d617ef1ccb415e30a | [
"Apache-2.0"
] | permissive | SG4316/mathlib | 3d64035d02a97f8556ad9ff249a81a0a51a3321a | a7846022507b531a8ab53b8af8a91953fceafd3a | refs/heads/master | 1,584,869,960,527 | 1,530,718,645,000 | 1,530,724,110,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,825 | 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
Theorems that require decidability hypotheses are in the namespace "decidable".
Classical versions are in the namespace "classical".
Note: in the pres... |
14fb781e052f3158f9544ab725c7f3d5f4cfb516 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/list/basic.lean | 1b32bcf240a24d317bfa55df0a082e067afb3c0b | [
"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 | 186,359 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn, Mario Carneiro
-/
import algebra.order_functions
import control.monad.basic
import data.nat.choose.basic
import ... |
3fb083519af5e434618913db2fe5475275d03084 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/default_auto.lean | d811f9d36310370eb17d08f41eba8d81a105e319 | [] | 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 | 1,337 | lean | /-
This file imports many useful tactics ("the kitchen sink").
You can use `import tactic` at the beginning of your file to get everything.
(Although you may want to strip things down when you're polishing.)
Because this file imports some complicated tactics, it has many transitive dependencies
(which of course may n... |
1008db8249cedb421071bcbfdc19775964672121 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Meta/Tactic/Intro.lean | e0397c338557c7cbf3fb6a19303290e151926335 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 3,402 | 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.Lean.Meta.Tactic.Util
namespace Lean
namespace Meta
@[specialize]
def introNCoreAux {σ} (mvarId : MVarId) (mkName : LocalContext → Nam... |
bfbf314b5d2d946cdb5f99f55edb90eb3021beef | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Init/Data/Stream.lean | e634751af18038b7ed7750dfa7ebbfdc0e0edc68 | [
"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 | 3,199 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Andrew Kent, Leonardo de Moura
-/
prelude
import Init.Data.Array.Subarray
import Init.Data.Range
/-
Remark: we considered using the following alternative des... |
53e7e2eb3f84524854cd2701f99cddbc83b42906 | 618003631150032a5676f229d13a079ac875ff77 | /src/category_theory/fully_faithful.lean | 86ce61be785161a920904f9c2e18ba9e72e1c317 | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 6,178 | 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 logic.function.basic
import category_theory.natural_isomorphism
universes v₁ v₂ v₃ u₁ u₂ u₃ -- declare the `v`'s first; see `category_theory.category` for an ... |
2e6c2e370dedaff3d9261fe42b5d16695426f025 | f3be49eddff7edf577d3d3666e314d995f7a6357 | /TBA/While/Semantics.lean | 54c1d152097c425c6809142fdb172c6eac6ea815 | [] | 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 | 2,089 | lean | /- Semantics -/
import TBA.While.Com
namespace While
open Com
abbrev Map (α β : Type) := α → Option β
namespace Map
def empty : Map α β := fun k => none
def update [DecidableEq α] (m : Map α β) (k : α) (v : Option β) : Map α β :=
fun k' => if k = k' then v else m k'
notation:max m "[" k " ↦ " v "]" => update m ... |
ad948ad050800032f2ed9c1d43bcbf5c4b281dd5 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/notation4.lean | 41c90e4df2dc557d2b216631339e0f35cbdfae40 | [
"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 | 309 | lean | --
open sigma
inductive List (T : Type) : Type | nil {} : List | cons : T → List → List open List notation h :: t := cons h t notation `[` l:(foldr `,` (h t, cons h t) nil) `]` := l
check ∃ (A : Type) (x y : A), x = y
check ∃ (x : num), x = 0
check Σ (x : num), x = 10
check Σ (A : Type), List A
|
4648ac435658b600fd00e2b61d7552cd99f74cd0 | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /group_theory/order_of_element.lean | 68bebe9dc20a33a571b506a9b0c940ee10b5f038 | [
"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 | 6,388 | 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.set.finite group_theory.coset
open set function
variables {α : Type*} {s : set α} {a a₁ a₂ b c: α}
-- TODO this lemma isn't used anywhere in this file, ... |
1e65dd9bc36b99044bf1b48b3be5fbae818bf596 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/free_ring.lean | 983f8c47dac849a5d207aae781f614175e979083 | [
"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 | 2,661 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin
-/
import group_theory.free_abelian_group
/-!
# Free rings
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to ma... |
f482fd2039364565901ec49531005c0c6c2a1409 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/polynomial/mirror.lean | a6302debbba36f1f5af2d803c4572274d273f76d | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,347 | lean | /-
Copyright (c) 2020 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import data.polynomial.ring_division
/-!
# "Mirror" of a univariate polynomial
In this file we define `polynomial.mirror`, a variant of `polynomial.reverse`. The... |
92a6d85fe582dcbf9b311d5b2eb00454dccf2599 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/ring_theory/principal_ideal_domain.lean | b28da465ffd5d99b47e03c1cab4c87a5d6906934 | [
"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 | 9,964 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Morenikeji Neri
-/
import ring_theory.noetherian
import ring_theory.unique_factorization_domain
/-!
# Principal ideal rings and principal ideal domains
A principal ideal r... |
c8c1023de19eb77ae71f8ca86b1997731da35ef4 | c8b4b578b2fe61d500fbca7480e506f6603ea698 | /src/number_theory/cyclotomic/cycl_rat.lean | 6ccc0c06e447fe3394c3c3c020d9918a6ae052d0 | [] | no_license | leanprover-community/flt-regular | aa7e564f2679dfd2e86015a5a9674a6e1197f7cc | 67fb3e176584bbc03616c221a7be6fa28c5ccd32 | refs/heads/master | 1,692,188,905,751 | 1,691,766,312,000 | 1,691,766,312,000 | 421,021,216 | 19 | 4 | null | 1,694,532,115,000 | 1,635,166,136,000 | Lean | UTF-8 | Lean | false | false | 20,409 | lean | import ring_theory.polynomial.eisenstein.is_integral
import number_theory.cyclotomic.galois_action_on_cyclo
import number_theory.cyclotomic.rat
import number_theory.cyclotomic.Unit_lemmas
import ring_theory.dedekind_domain.ideal
import number_theory.cyclotomic.zeta_sub_one_prime
import number_theory.cyclotomic.cyclotom... |
2ff0acff14caa2069e86f134115ec8b8e51a1107 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/types.lean | e1074994e2618519fdc280a0de49a57f52c6dba6 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 11,110 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl
-/
import category_theory.epi_mono
import category_theory.functor.fully_faithful
import logic.equiv.basic
/-!
# The category `Type`.
In... |
e5ccb42651150aebb5e495b3ae0f7176cdba276a | a49a42dda6e1ae18983e9264eb962585a900fa99 | /src/one_case.lean | 0339e4b68772e0e838ef0868c168a1925545c995 | [] | no_license | jamesa9283/Lean-AreaOfACircle | a5d22cbc96bc2cf2f76b79221b0ec65628edc333 | c5d5030eeab98bb6552693de55a77a9cf2c21d20 | refs/heads/master | 1,676,179,712,721 | 1,610,133,816,000 | 1,610,133,816,000 | 327,885,903 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 814 | lean | import measure_theory.interval_integral
import analysis.special_functions.pow
open_locale real
example : 4 * ∫ (x : ℝ) in (0:ℝ)..1, real.sqrt(1 - x^2) = π :=
begin
have : deriv (λ x : ℝ, 1/2 * (real.arcsin x + x * real.sqrt(1 - x^2) ) ) = λ x, real.sqrt(1 - x^2),
{ ext,
rw deriv_const_mul,
rw deriv_add,
... |
973d9c2c7930c16d3b5bb28419986fed93b2599c | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/algebra/module/linear_map.lean | 67929a2485c6e2003052ef242d9c64e398dbddc3 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 16,077 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen
-/
import algebra.group.hom
import algebra.module.basic
import algebra.group_action_hom
/-!
# Linear maps and... |
11c6274096bb48e953fcd942d2d3c95bf9e49fa2 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/linear_algebra/finite_dimensional.lean | b2fa479e4bee358ba7257fd205be086382169391 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 53,053 | 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 linear_algebra.dimension
import ring_theory.principal_ideal_domain
import algebra.algebra.subalgebra
/-!
# Finite dimensional vector spaces
Definition and basic ... |
4d9ffc794da4a132d4f4e0ea8533d513e24ca8b9 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /test/library_search/basic.lean | 4f5e915a2d7d1e04e1637305cb48f47bf4a02e88 | [
"Apache-2.0"
] | permissive | waynemunro/mathlib | e3fd4ff49f4cb43d4a8ded59d17be407bc5ee552 | 065a70810b5480d584033f7bbf8e0409480c2118 | refs/heads/master | 1,693,417,182,397 | 1,634,644,781,000 | 1,634,644,781,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,222 | 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 tactic.suggest -- No other imports, for fast testing
/- Turn off trace messages so they don't pollute the test build: -/
set_option trace.silence_library_sear... |
c188f88acb7b8f5ab4b2a6e754d12fa8c3321cce | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/tagged_format_auto.lean | de0ea6b37256ddda493645042df6922a6dce91d3 | [] | 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 | 409 | lean | /-
Copyright (c) E.W.Ayers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: E.W.Ayers
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.tactic
import Mathlib.Lean3Lib.init.meta.expr_address
import Mathlib.Lean3Lib.init.control.default
namespace Mathlib
/-- A... |
ac2587e05c545e9c2fdf2738bd95f037955cdd3b | ee8cdbabf07f77e7be63a449b8483ce308d37218 | /lean/src/valid/mathd-numbertheory-81.lean | d1ca117fe6c95e814e13701298fb881b25bb9f19 | [
"MIT",
"Apache-2.0"
] | permissive | zeta1999/miniF2F | 6d66c75d1c18152e224d07d5eed57624f731d4b7 | c1ba9629559c5273c92ec226894baa0c1ce27861 | refs/heads/main | 1,681,897,460,642 | 1,620,646,361,000 | 1,620,646,361,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 236 | lean | /-
Copyright (c) 2021 OpenAI. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kunhao Zheng
-/
import data.nat.basic
import data.real.basic
example : 71 % 3 = 2 :=
begin
norm_num,
end
|
c0fec1c3a92af3fb253b2a93815c171c311ea989 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/topology/metric_space/pi_Lp.lean | a7bf124eb1e5b3cddfb0c7b7345088a161eb8e2f | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 12,043 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.mean_inequalities
/-!
# `L^p` distance on finite products of metric spaces
Given finitely many metric spaces, one can put the max distance on t... |
54951f65d402514f6a14e53ee8ddd7cb3a9190dd | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/constructions/over/connected.lean | ce2eb0a83e7257e3d809467395f0c668636d323e | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,213 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Reid Barton, Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.over
import Mathlib.category_theory.limits.conne... |
89e9026a39194f6ce44924c3a9a4d4c271e430e6 | dc253be9829b840f15d96d986e0c13520b085033 | /homotopy/susp_pset.hlean | c2956d2c47c8492e9c9aada6838561b7a17ec427 | [
"Apache-2.0"
] | permissive | cmu-phil/Spectral | 4ce68e5c1ef2a812ffda5260e9f09f41b85ae0ea | 3b078f5f1de251637decf04bd3fc8aa01930a6b3 | refs/heads/master | 1,685,119,195,535 | 1,684,169,772,000 | 1,684,169,772,000 | 46,450,197 | 42 | 13 | null | 1,505,516,767,000 | 1,447,883,921,000 | Lean | UTF-8 | Lean | false | false | 4,275 | hlean | /-
Copyright (c) 2018 Ulrik Buchholtz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz
-/
import algebra.group_theory hit.set_quotient types.list homotopy.vankampen
homotopy.susp .pushout ..algebra.free_group
open eq pointed equiv is_equiv is_tr... |
467431a171d698cd9f3f9714c679ffcfb6aeef5d | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/group_theory/order_of_element.lean | 560fa0db1b3d7212693b1a2c6c9567a9aca04a09 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 24,782 | 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 algebra.big_operators.order
import group_theory.coset
import data.nat.totient
import data.int.gcd
import data.set.finite
open function
open_locale big_operato... |
64e50511b9f445c0210cc0f4d397f126ae2948fc | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/no_confusion_type.lean | 0591018f0083a2d7a640cc46f904bfbc2025db37 | [
"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 | 327 | lean | --
open nat
inductive vector (A : Type) : nat → Type
| vnil : vector nat.zero
| vcons : Π {n : nat}, A → vector n → vector (succ n)
#check vector.no_confusion_type
constants a1 a2 : num
constants v1 v2 : vector num 2
constant P : Type
#reduce vector.no_confusion_type P (vector.vcons a1 v1) (vector.vcons a2 v2)
|
eb4e038f9ab63eb459c9ccdc5cd9359ed7319fca | 7282d49021d38dacd06c4ce45a48d09627687fe0 | /tests/lean/j1.lean | d4fc14a2e89e422967dcf827ee6471a00857b2fc | [
"Apache-2.0"
] | permissive | steveluc/lean | 5a0b4431acefaf77f15b25bbb49294c2449923ad | 92ba4e8b2d040a799eda7deb8d2a7cdd3e69c496 | refs/heads/master | 1,611,332,256,930 | 1,391,013,244,000 | 1,391,013,244,000 | 16,361,079 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 734 | lean | import tactic
import macros
definition bracket (A : Type) : Bool :=
∀ p : Bool, (A → p) → p
rewrite_set basic
add_rewrite imp_truel imp_truer imp_id eq_id : basic
set_option simp_tac::assumptions false
theorem bracket_eq (x : Bool) : bracket x = x
:= boolext
(assume H : ∀ p : Bool, (x → p) → p,
(hav... |
7ca57693d8dabd1b21acb400af1c7e34cabe87e8 | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /category_theory/limits/preserves.lean | 59d06ef6d58b13a791ac171e743a6d06ad251ea3 | [
"Apache-2.0"
] | permissive | kristychoi/mathlib | c504b5e8f84e272ea1d8966693c42de7523bf0ec | 257fd84fe98927ff4a5ffe044f68c4e9d235cc75 | refs/heads/master | 1,586,520,722,896 | 1,544,030,145,000 | 1,544,031,933,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,177 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison, Reid Barton
-- Preservation and reflection of (co)limits.
import category_theory.whiskering
import category_theory.limits.limits
open category_theory
namespac... |
55f31a9165d884d559b1e4b158ba87ae768a8704 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/Lean/Data/Format.lean | 319a8b5bd951f314bf52b6a37b4d27f23b75f83f | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,696 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import Init.Data.Array
import Init.Lean.Data.Options
universes u v
namespace Lean
inductive Format
| nil : Format
| line : Format
... |
1ff78a5b753f2ec580233af70889bc0ee714ef29 | a537b538f2bea3181e24409d8a52590603d1ddd9 | /test/tidy_problem.lean | 7fddb126d71e4908368adbdd1011ffe483ba205b | [] | no_license | rwbarton/lean-tidy | 6134813ded72b275d19d4d32514dba80c21708e3 | fe1125d32adb60decda7a77d0f679614ba9f6fbb | refs/heads/master | 1,585,549,718,705 | 1,538,120,619,000 | 1,538,120,624,000 | 150,864,330 | 0 | 0 | null | 1,538,225,790,000 | 1,538,225,790,000 | null | UTF-8 | Lean | false | false | 544 | lean | import data.polynomial
-- compare the result when you uncomment this import -- error!
-- import tidy.tidy
class algebra (R : out_param $ Type*) [comm_ring R] (A : Type*) extends ring A :=
(f : R → A) [hom : is_ring_hom f]
(commutes : ∀ r s, s * f r = f r * s)
variables (R : Type*) [ring R]
instance ring.to_ℤ_algebr... |
4d3a29af8f52caa3df9a97eafd3f4cec55f76e91 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/int/cast.lean | c374c757600d31b2abe65de2e2dc61f5e3e3c908 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 8,814 | 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
import data.nat.cast
open nat
namespace int
/- cast (injection into groups with one) -/
@[simp, push_cast] theorem nat_cast_eq_coe_nat : ∀ n... |
9a51b7d64afb3022d32fdb0518f5137d4f40004a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/polynomial/symmetric_auto.lean | d4208d7a9b4c7361a7367c3ccf66610790cebdfb | [] | 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 | 5,324 | lean | /-
Copyright (c) 2020 Hanting Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Hanting Zhang, Johan Commelin
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.default
import Mathlib.data.mv_polynomial.rename
import Mathlib.data.m... |
60292e6a44e58dbe62b5981374ba0ef929052709 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/list/chain.lean | 001938e5223957bdd370381f86dd9cb772387bfa | [
"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 | 10,578 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kenny Lau, Yury Kudryashov
-/
import data.list.pairwise
import logic.relation
universes u v
open nat
variables {α : Type u} {β : Type v}
namespace list
/- chain re... |
36ed6d1b52a6e3a664003452d0ffbbdcdaaedd4c | 4fa161becb8ce7378a709f5992a594764699e268 | /src/analysis/calculus/inverse.lean | 4ad72731d6915251cee81de88d58434d9a7221c5 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 21,690 | 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.calculus.deriv
import topology.local_homeomorph
import topology.metric_space.contracting
/-!
# Inverse function theorem
In this file we prove the... |
62507017ac738d07d2d8ac5ca1ac471e580eeaf1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/metric_space/infsep.lean | 6d0a3bd0df2882255bb0360202d49183fbd742f8 | [
"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 | 19,276 | lean | /-
Copyright (c) 2022 Wrenna Robson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wrenna Robson
-/
import topology.metric_space.basic
/-!
# Infimum separation
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathli... |
c90ce1089499f4ee1d34315a742b1967e9045b01 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/topology/category/Top/open_nhds.lean | 8f67975ccb451da0ee5062d11b19428f029d4ebb | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,184 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import topology.category.Top.opens
import category_theory.filtered
/-!
# The category of open neighborhoods of a point
Given an object `X` of the category `Top` of ... |
def8b649810fa6c3413825b7a11acce39b60c340 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Syntax/Translate/Tactic/Mathlib/NormNum.lean | f986b79ef0db37acb07dfd5ee165e130f945aae4 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 1,500 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import Mathport.Syntax.Translate.Tactic.Basic
import Mathport.Syntax.Translate.Tactic.Lean3
open Lean
namespace Mathport.Translate.Tactic
open Parser
-- # t... |
150145f475a80f8a18c613a2b957f29743f4b328 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Linter.lean | 1bd94951cb406fc8ce00604660ac5efcc5e2496d | [
"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 | 117 | lean | import Lean.Linter.Util
import Lean.Linter.Builtin
import Lean.Linter.UnusedVariables
import Lean.Linter.MissingDocs
|
e1c772644f52a7a03c273ccc88c3274436e392f9 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/group/commute.lean | 34dd712e4b7dc46133c8cf20bb4776b424bf52c1 | [
"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 | 8,641 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland, Yury Kudryashov
-/
import algebra.group.semiconj
/-!
# Commuting pairs of elements in monoids
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com/leanpr... |
f2dd016e5ba26714a2aebd53900198b4b7ee8ecc | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Declaration.lean | d01bc64e40f336ab7d09c62242057dfbc19a1d97 | [
"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 | 14,438 | 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.Expr
namespace Lean
/--
Reducibility hints are used in the convertibility checker.
When trying to solve a constraint such a
(f ...)... |
cdae6bad7de76be010081ae404121d13614b330c | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/interactive/info_tactic.lean | 16fcb347acb33f12e554eaa4cc91285a0ffbfdd7 | [
"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 | 225 | lean | open tactic
example : false :=
begin
simp,
--^ "command": "info"
simp ,
--^ "command": "info"
simp [ ],
--^ "command": "info"
simp [d] ,
--^ "command": "info"
get_env
--^ "command": "info"
end
|
15fe186bf73ab126b266fd13c8fa979cc0fea266 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/binrel_binop.lean | 9b5840fa6de06f8bb25b7d37ea5c011a3a1f5517 | [
"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 | 214 | lean | theorem ex1 (a : Int) (b c : Nat) : a = ↑b - ↑c := sorry
#check ex1
theorem ex2 (a : Int) (b c : Nat) : a = b - c := sorry
#check ex2
theorem ex3 (a : Int) (b c : Nat) : a = ↑(b - c) := sorry
#check ex3
|
a63ab0e738b9554a205b6796147c781fe907e9a2 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/topology/algebra/infinite_sum.lean | f1baeeea27b92806e9181d9a2fb5c132c11a4aa5 | [
"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 | 57,617 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.intervals
import topology.instances.real
import topology.algebra.module
import algebra.indicator_function
import data.equiv.encodable.lat... |
459adb158aa750bfa68c610848c1204e485fbc1f | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/data/set/finite.lean | 4bf6f76b83de910a5983a3ceaea36910542ac72a | [
"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 | 21,864 | 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
Finite sets.
-/
import logic.function
import data.nat.basic data.fintype data.set.lattice data.set.function
import algebra.big_operators
open set funct... |
86b0dc35c40fe2a7191cc873c3090d56cdfdd239 | 66a6486e19b71391cc438afee5f081a4257564ec | /property.hlean | 65213a1b1694c063555d71efa58c21faf221e460 | [
"Apache-2.0"
] | permissive | spiceghello/Spectral | c8ccd1e32d4b6a9132ccee20fcba44b477cd0331 | 20023aa3de27c22ab9f9b4a177f5a1efdec2b19f | refs/heads/master | 1,611,263,374,078 | 1,523,349,717,000 | 1,523,349,717,000 | 92,312,239 | 0 | 0 | null | 1,495,642,470,000 | 1,495,642,470,000 | null | UTF-8 | Lean | false | false | 11,504 | hlean | /-
Copyright (c) 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
-/
import types.trunc .logic
open funext eq trunc is_trunc logic
definition property (X : Type) := X → Prop
namespace property
variable {X : Type}
/- membership and su... |
719ca0cc01e18491389720e75a62b7588922adf7 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/algebra/polynomial.lean | dc38be96b6d63a820bd155f4fff2b6c01dcdedf1 | [
"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 | 2,078 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
Analytic facts about polynomials.
-/
import topology.algebra.ring
import data.polynomial.div
import data.real.cau_seq
open polynomial is_absolute_value
lemma polynom... |
5734582b0ca25859e8dd81149a4412acd32e8d55 | 6de8ea38e7f58ace8fbf74ba3ad0bf3b3d1d7ab5 | /lab5/code/lambda.lean | 51f2db175de598c8796a82305e0f8b0d173d0bfc | [] | no_license | KinanBab/CS591K1-Labs | 72f4e2c7d230d4e4f548a343a47bf815272b1f58 | d4569bf99d20c22cd56721024688cda247d1447f | refs/heads/master | 1,587,016,758,873 | 1,558,148,366,000 | 1,558,148,366,000 | 165,329,114 | 5 | 2 | null | 1,550,689,848,000 | 1,547,252,664,000 | TeX | UTF-8 | Lean | false | false | 3,062 | lean | -- Syntax
inductive term
| var : string → term
| abs : string → term → term
| app : term → term → term
-- Custom notation
instance : has_coe string term := ⟨term.var⟩
notation `λ:` x `.` t := term.abs x t
notation `[`t1 `](` t2 `)` := term.app t1 t2
-- string representation of terms
def term.repr : term -> string... |
81482743cd7a4c249f094fb6a0690e2e6210ea93 | 06be757c84c5c318d56b5d07f1dff4eb19b949d8 | /src/Tate_ring.lean | 2d83db982e693bba6df3977cbf9727b8862fabaa | [
"Apache-2.0"
] | permissive | mr-infty/perfectoid-spaces | ea3e5d161072f6de646b660cc55217838d3ceded | 1a49b3897ec3c7b871d8c970926c00f727a4e2a6 | refs/heads/master | 1,587,252,317,856 | 1,547,326,614,000 | 1,547,326,614,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,720 | lean | import tactic.linarith
import analysis.topology.topological_structures
import ring_theory.subring
import power_bounded
import Huber_ring
-- Scholze : "Recall that a topological ring R is Tate if it contains an
-- open and bounded subring R₀ ⊂ R and a topologically nilpotent unit ϖ ∈ R; such elements are
-- called pseu... |
2144f807f12d75fa7adda19e2e10104f08968ca8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/category/Mon/limits.lean | 72d374a402eaa9e4a109845ad7411789d8d3d8fa | [
"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 | 8,589 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.category.Mon.basic
import algebra.group.pi
import category_theory.limits.creates
import category_theory.limits.types
import group_theory.submonoid.oper... |
234a10ccae9136ef915e06a32bf7b752cffcf56f | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/group/with_one.lean | df9645ea87b6db3ec596bbd1a8e5c644b9cc9bf8 | [
"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 | 7,986 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johan Commelin
-/
import algebra.ring.basic
universes u v
variable {α : Type u}
@[to_additive]
def with_one (α) := option α
namespace with_one
@[to_additive]
instan... |
8b1a643a836078c01ec2f05affd9295f5aaab96a | e5169dbb8b1bea3ec2a32737442bc91a4a94b46a | /library/data/bool.lean | 6f2b434c9d397af508b59d394376cb37e5648a15 | [
"Apache-2.0"
] | permissive | pazthor/lean | 733b775e3123f6bbd2c4f7ccb5b560b467b76800 | c923120db54276a22a75b12c69765765608a8e76 | refs/heads/master | 1,610,703,744,289 | 1,448,419,395,000 | 1,448,419,703,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,511 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
import logic.eq
open eq eq.ops decidable
namespace bool
local attribute bor [reducible]
local attribute band [reducible]
theorem dichotomy (b : bool... |
cd117f7ffaedee7c7a310109bc34198a31185123 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/set/basic.lean | 354ef6371b4ac0aaf25b550171c4ccd4304d7586 | [
"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 | 114,923 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import logic.unique
import logic.relation
import order.boolean_algebra
/-!
# Basic properties of sets
Sets in Lean are homogeneous; all their eleme... |
62986ad91235735c10c0d56afd40a6fc47976aaf | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Elab/Quotation/Util.lean | 684a6004e1061b77e74e7325011bdb7594b01f7a | [
"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 | 1,536 | 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.Elab.Term
namespace Lean.Elab.Term.Quotation
open Lean.Syntax
register_builtin_option hygiene : Bool := {
defValue := true
descr := "Annota... |
f88c27736d6716e0b5bcc53739319f32fb01c6fd | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/basics/unnamed_1200.lean | 5e8c14cfabbe6b4fefa85c072cb88568b15f178f | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 161 | lean | import analysis.special_functions.exp_log
open real
-- BEGIN
example (a b : ℝ) (h : a ≤ b) : exp a ≤ exp b :=
begin
rw exp_le_exp,
exact h
end
-- END |
18336bff2e71e20457fda6150b4fb6f87f85d9ba | ba4794a0deca1d2aaa68914cd285d77880907b5c | /src/game/world2/level1.lean | 46ce82027e74c06de9ad562f65e10b9e1a95a662 | [
"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 | 7,877 | lean | import mynat.definition -- Imports the natural numbers.
import mynat.add -- imports addition.
namespace mynat -- hide
-- World name : Addition world
/- Axiom : add_zero (a : mynat) :
a + 0 = a
-/
/- Axiom : add_succ (a b : mynat) :
a + succ(b) = succ(a + b)
-/
/- Tactic : induction
## Summary
if `n : mynat` is in... |
20a894ae8ee4269e2846671a6130243443ea2d00 | fe7174aadb02f3f5a6781c52facd5ebcbb35105c | /src/14.Inductive_Definitions/Data_Types/mynat.lean | 6dfcf818bb400e04e66bf17d9dc458afc45e28b9 | [] | no_license | tcmch/cs-dm-lean | 1ea180c6ff15e4e9a3ea78f2608506924e34e922 | 16ef75c7e68077e265441acc16cf5fe643db911b | refs/heads/master | 1,586,377,195,552 | 1,544,118,724,000 | 1,544,118,724,000 | 159,694,678 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,029 | lean | namespace mynat
/-
Our own implementation of nat
-/
inductive mynat : Type
| zero : mynat
| succ : mynat → mynat
/-
Convenient names for first few terms -/
def zero := mynat.zero
def one := mynat.succ zero
def two := mynat.succ one
def three :=
mynat.succ
(mynat.succ
(mynat.succ
... |
e2ca0f7a2a5fb0329fcd7aa251d6dfeeaf605d49 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/special_functions/trigonometric/basic.lean | 7351f011d0b981801bb87ba134cfbef6bbb495dd | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 82,255 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.exp_deriv
import data.set.intervals.infinite
/-!
# Trigonometric fun... |
02b5e4f7a2e9d7ededd103959d7299e30c9cfcc5 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/box_integral/box/basic.lean | 389e578cd9708f36530190cfa37f89ae0d0da6b5 | [
"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 | 15,633 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import topology.instances.real
/-!
# Rectangular boxes in `ℝⁿ`
In this file we define rectangular boxes in `ℝⁿ`. As usual, we represent `ℝⁿ` as the type of
functi... |
735b2a80ca5087a89bd5f9afb56875bf30130740 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/measure_theory/measure/hausdorff.lean | c0cf8d401d8c6614957c5a19f324a08e17aa7ecc | [
"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 | 44,818 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.special_functions.pow
import logic.equiv.list
import measure_theory.constructions.borel_space
import measure_theory.measure.lebesgue
import topology... |
dd8ee5fbf1a58e7d06d4630fd2850be681f39a6d | 43390109ab88557e6090f3245c47479c123ee500 | /src/M3P14/Problem_sheets/sheet1.lean | 1bfab42ccda99cd57712c63cb17e43e86e3342f1 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,003 | lean | import data.nat.gcd
import data.nat.modeq
import data.nat.prime
import tactic.norm_num
import data.nat.gcd
--import data.set
open classical
namespace int
/-
Mathlib work in progress
-/
theorem gcd_mul_left_mine (i j k : ℤ) : gcd (i * j) (i * k) = nat_abs i * gcd j k :=
begin
unfold gcd,
rw [nat_abs_mul, na... |
6dc63576bbca4dfea5a1c1704ff7a07005af9b85 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/category_theory/functor.lean | ce088df268f0e3306266a483b8b572f06f955a1c | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 3,189 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison
Defines a functor between categories.
(As it is a 'bundled' object rather than the `is_functorial` typeclass parametrised
by the underlyin... |
d0065b9de18c294ff3e2f9651f1ed74bcb207448 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/387.lean | 00e2947a05ef0dc71717cca71c08327705d0554b | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 566 | lean | --
axiom p {α β} : α → β → Prop
axiom foo {α β} (a : α) (b : β) : p a b
example : p 0 0 := by simp [foo]
example (a : Nat) : p a a := by simp [foo a]
example : p 0 0 := by simp [foo 0]
example : p 0 0 := by simp [foo 0 0]
example : p 0 0 := by
simp [foo 1] -- will not simplify
simp [foo 0]
example : p 0 0 ∧ p 1 1... |
e900649c242a2cec5fd5ce5b2920bc9038d4ca71 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebraic_geometry/Scheme.lean | e868920f05124148dc928a25fc6eb74aa4410753 | [] | 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 | 5,432 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebraic_geometry.Spec
import Mathlib.PostPort
universes u_1 l
namespace Mathlib
/-!
#... |
2669869648c94dd21ca07c1bb93515077a924824 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/list/dedup.lean | cbd44cd603d3917fffe66dde907d41fc1108859b | [
"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 | 2,688 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.list.nodup
/-!
# Erasure of duplicates in a list
This file proves basic results about `list.dedup` (definition in `data.list.defs`).
`dedup l` returns `... |
eaa9dd2e112e248feb1707013dc943324f05409d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/local_properties.lean | 47bf634d18d70ceb4a4a783e03f1a73c66d5e84a | [
"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 | 30,333 | lean | /-
Copyright (c) 2021 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import ring_theory.finite_type
import ring_theory.localization.at_prime
import ring_theory.localization.away.basic
import ring_theory.localization.integer
import ring_theor... |
17911f6f24e09d19d2b1b72cf31f91fd679a3bef | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/ring_theory/algebra_tower.lean | acf076296a818e40c2cd31d4289733ec99d11ba5 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,011 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.invertible
import ring_theory.adjoin
import linear_algebra.basis
import algebra.algebra.basic
/-!
# Towers of algebras
We set up the basic theory of algebra t... |
a793c237eede106815ba332a139ef116d381f09f | c777c32c8e484e195053731103c5e52af26a25d1 | /src/topology/instances/irrational.lean | 357cfcadc28107f982c5de7d57ca3d42c98d7987 | [
"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 | 3,382 | 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 data.real.irrational
import data.rat.encodable
import topology.metric_space.baire
/-!
# Topology of irrational numbers
In this file we prove the foll... |
faa7104854575f988bf639be40971a3d30eef7c4 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/algebra/big_operators.lean | e52bb2c485866c68e9e9012eccbde365284538c7 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 44,594 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Some big operators for lists and finite sets.
-/
import tactic.tauto data.list.defs data.finset data.nat.enat
universes u v w
variables {α : Type u} {β : Type v} {γ : ... |
367a3f8b14a775caf01bd193cd720c9c1b5daad2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/structuralIssue2.lean | ea1a6fe2e7ebcf9bc43f79adf8e57088f9cc6a48 | [
"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 | 704 | lean | namespace List
@[simp] theorem filter_nil {p : α → Bool} : filter p [] = [] := by
simp!
theorem cons_eq_append (a : α) (as : List α) : a :: as = [a] ++ as := rfl
theorem filter_cons (a : α) (as : List α) :
filter p (a :: as) = if p a then a :: filter p as else filter p as :=
sorry
@[simp] theorem filter_appen... |
4fdcdff92230dc9a66c321aa14b49549d00c8830 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/nat/basic.lean | 6d28b8ace74c3d20e29f5a42ff7dec8bbe074ffc | [
"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 | 47,562 | 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... |
d8416433bb0732c5413a3d8fcda90052e1dbf931 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/Option/Instances.lean | 031bcadc707002e4d92bcc7e065ef74aa148a63f | [
"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 | 660 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.Option.Basic
universe u v
theorem Option.eq_of_eq_some {α : Type u} : ∀ {x y : Option α}, (∀z, x = some z ↔ y = some z) → x = y
... |
03c90ae2a5ba2db4ca3e663f6088a40165db65b7 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/analysis/normed_space/multilinear.lean | 11b565aee98cc18b4b7342c430571e3b3dd864fc | [
"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 | 73,500 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.operator_norm
import topology.algebra.multilinear
/-!
# Operator norm on the space of continuous multilinear maps
When `f` is a c... |
2121184aaf1d7315cb7a0400a084b0f3259eaa61 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/witt_vector/truncated.lean | 6bc9fee887a856ab4f4efe1db99720986c8b29c6 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 15,692 | 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 ring_theory.witt_vector.init_tail
/-!
# Truncated Witt vectors
The ring of truncated Witt vectors (of length `n`) is a quotient of the rin... |
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