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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6370f16bd30161ef0727917c49f9040c6d5f1486 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/matrix/symmetric.lean | 8533144a3d85d010c903f5c427ab7fcfcfbb3c95 | [
"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 | 4,118 | lean | /-
Copyright (c) 2021 Lu-Ming Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Lu-Ming Zhang
-/
import data.matrix.block
/-!
# Symmetric matrices
This file contains the definition and basic results about symmetric matrices.
## Main definition
* `matrix.is_sym... |
a4cd1675746afad6979488532d3f328777569f7a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/yoneda.lean | ab1a2a9f7275fe806a11764d6bab38d89f1ef2e9 | [] | 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 | 5,400 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.limits
import Mathlib.category_theory.limits.functor_c... |
caef715a2d5f837523326ae7eeffebbcbf794918 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/limits/over.lean | ded0f055a4151d3d6428bb8523cf55d9bc81f3b1 | [
"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 | 4,950 | 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 category_theory.over
import category_theory.adjunction.opposites
import category_theory.limits.preserves.basic
import category_theor... |
b5cb665adc032593b5b6d0ea8cc1146cb809bca2 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/simp_univ_metavars.lean | 278f9933442307f58740c51f0878a71714f491b9 | [
"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 | 2,636 | lean | meta def blast : tactic unit := using_smt $ return ()
structure { u v } Category :=
(Obj : Type u )
(Hom : Obj -> Obj -> Type v)
(identity : Π X : Obj, Hom X X)
(compose : Π ⦃X Y Z : Obj⦄, Hom X Y → Hom Y Z → Hom X Z)
(left_identity : ∀ ⦃X Y : Obj⦄ (f : Hom X Y), compose (identity _) f = f)
#check @Catego... |
e3dc1963ffd2b343ae43f52b53af65d19cb523db | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/legendre_symbol/quadratic_char/basic.lean | 8d64425b47fff286b9f0d3be1e013a6ff288f0a5 | [
"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 | 13,171 | lean | /-
Copyright (c) 2022 Michael Stoll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Stoll
-/
import data.fintype.parity
import number_theory.legendre_symbol.zmod_char
import field_theory.finite.basic
/-!
# Quadratic characters of finite fields
> THIS FILE IS ... |
8848597939d9e70ac5017a03424c70fabdc261dd | 6b10c15e653d49d146378acda9f3692e9b5b1950 | /examples/logic/unnamed_128.lean | 06afcd92a6ad67fefb9f03314352e93fa93bfee0 | [] | no_license | gebner/mathematics_in_lean | 3cf7f18767208ea6c3307ec3a67c7ac266d8514d | 6d1462bba46d66a9b948fc1aef2714fd265cde0b | refs/heads/master | 1,655,301,945,565 | 1,588,697,505,000 | 1,588,697,505,000 | 261,523,603 | 0 | 0 | null | 1,588,695,611,000 | 1,588,695,610,000 | null | UTF-8 | Lean | false | false | 164 | lean | variables A B C : Prop
-- BEGIN
example : (A → B) → (B → C) → A → C :=
begin
intros h₁ h₂ h₃,
apply h₂,
apply h₁,
apply h₃
end
-- END |
27b71c6018b3d9f0cf7fa92417848e895719ae71 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/monad/types.lean | 7cd4345b1dc4534b5bce25cf415f225628b16bce | [] | 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 | 1,206 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.monad.basic
import Mathlib.category_theory.monad.kleisli
impo... |
0a1e2960ca5d77b2fd3d5bd56d757589c260976b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/field_theory/finite/basic.lean | 10bdbca3f5ac3a65e8803cd7b124096fe7a16885 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,817 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Joey van Langen, Casper Putz
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.apply_fun
import Mathlib.data.equiv.ring
import Mathlib.da... |
c528bb4069b5ad8ff8e241a2133287abdadaa36b | ad3e8f15221a986da27c99f371922c0b3f5792b6 | /src/week05/solutions/e00_intro.lean | 060639607c02e090f8508badc5fb422ab2d35bc3 | [] | no_license | VArtem/lean-itmo | a0e1424c8cc4c2de2ac85ab6fd4a12d80e9b85f1 | dc44cd06f9f5b984d051831b3aaa7364e64c2dc4 | refs/heads/main | 1,683,761,214,467 | 1,622,821,295,000 | 1,622,821,295,000 | 357,236,048 | 12 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,696 | lean | import data.finset
import data.fintype.basic
import data.set.finite
import tactic.derive_fintype
section intro
variable {α : Type*}
-- Конечность типа или множества представлена в mathlib тремя основными типами: `A : finset α`, `fintype A` и `finite A`
-- 1. finset - конструктивно конечное множество
-- `finset` = `... |
8a96eb304ccbad319d36d2e2eb203aa4a474e67c | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/run/heap_mem.lean | 1946f417b0b9cd97cd6569746799260e2365bf43 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 3,816 | lean | /- We use the following auxiliary type instead of (Σ α : Type, α)
because the code generator produces better code for `pointed`.
For `pointed`, the code generator erases the field `α`. -/
structure pointed :=
(α : Type) (a : α)
/- The following two commands demonstrate the difference.
To remove the overhead i... |
6466a1c97d501014ee8e86f51bcf25be46704ea8 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/metric_space/gromov_hausdorff_realized_auto.lean | 7268c14bc6055141da47762e8a38cb8bfcde4e9c | [] | 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 | 9,110 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
Construction of a good coupling between nonempty compact metric spaces, minimizing
their Hausdorff distance. This construction is instrumental to study the Gromov-... |
15b64b78bb1d03f3683f6b92c4767324e92a923e | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /ideas/ds_wellOrd_ceil.lean | 395926753b9520973fac641cf32f37e5661c952e | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,444 | lean | import data.real.basic
axiom well_ordered_Zplus
(A : set ℤ) (h1A : A.nonempty) (h2A : ∀ (a:ℤ), a ∈ A → 0 < a):
∃ m ∈ A, ∀ k ∈ A, m ≤ k
-- this does work!
lemma wellOrd_ceil_existence (x : ℝ) (hx : 0 < x) :
∃ m : ℤ, m > 0 ∧ (m-1 : ℝ) ≤ x ∧ x < (m : ℝ) :=
begin
have H := exists_nat_gt x,
cases H with n hn,... |
f9498126d514557307b8640943e72ca945140ad5 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/combinatorics/simple_graph/finsubgraph.lean | 3d37c06ebae0aae44c5bd8b414c3de23d2be5a26 | [
"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 | 5,895 | lean | /-
Copyright (c) 2022 Joanna Choules. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joanna Choules
-/
import category_theory.cofiltered_system
import combinatorics.simple_graph.subgraph
/-!
# Homomorphisms from finite subgraphs
This file defines the type of finite s... |
8b36883503b792c974408a9e351c6cd0d1f24657 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/analysis/calculus/fderiv_measurable.lean | 047eeaa37efb266240e3449e940208776c1c77f2 | [
"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 | 41,039 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.deriv
import measure_theory.constructions.borel_space
import measure_theory.function.strongly_measurable
import tactic... |
e3babaf6140f43649eee2777ea9abb5d1199a80f | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/analysis/calculus/deriv.lean | b80f0e421b51d4fc65940409b8108e3631e75643 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 47,899 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Sébastien Gouëzel
The Fréchet derivative.
Let `E` and `F` be normed spaces, `f : E → F`, and `f' : E →L[𝕜] F` a
continuous 𝕜-linear map, where `𝕜` is a non-discrete ... |
a03822421e1a1ee5718472ac6cd55c6e2a51b776 | 33340b3a23ca62ef3c8a7f6a2d4e14c07c6d3354 | /dlo/remove_neg.lean | ea7f91484a4bc6f7177255e23c60af824e6e72ea | [] | no_license | lclem/cooper | 79554e72ced343c64fed24b2d892d24bf9447dfe | 812afc6b158821f2e7dac9c91d3b6123c7a19faf | refs/heads/master | 1,607,554,257,488 | 1,578,694,133,000 | 1,578,694,133,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,471 | lean | import .formula
open list
def remove_neg : atom_dlo → formula_dlo
| (t <' s) := (A' (t =' s) ∨' A' (s <' t))
| (t =' s) := (A' (t <' s) ∨' A' (s <' t))
lemma eval_remove_neg :
∀ (a : atom_dlo) (xs : list rat),
(remove_neg a).eval xs ↔ (¬ (a.eval xs))
| (t <' s) xs :=
begin
simp [formula_dlo.eval, ... |
f5cd49833b521a2eb0bc55766eab151e1afcbb03 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/function/convergence_in_measure.lean | 0fcdd9622af264df2d9f41552ac3ebb7c3a2b055 | [
"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 | 16,856 | lean | /-
Copyright (c) 2022 Rémy Degenne, Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Kexing Ying
-/
import measure_theory.function.egorov
/-!
# Convergence in measure
We define convergence in measure which is one of the many notions of conve... |
37fa1995bd0342183b75d362f632908ead326840 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /test/linarith.lean | edd083294c2492e462b3033c7c313f197c305935 | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 3,811 | lean | import tactic.linarith
example (e b c a v0 v1 : ℚ) (h1 : v0 = 5*a) (h2 : v1 = 3*b) (h3 : v0 + v1 + c = 10) :
v0 + 5 + (v1 - 3) + (c - 2) = 10 :=
by linarith
example (ε : ℚ) (h1 : ε > 0) : ε / 2 + ε / 3 + ε / 7 < ε :=
by linarith
example (x y z : ℚ) (h1 : 2*x < 3*y) (h2 : -4*x + z/2 < 0)
(h3 : 12*y - z < ... |
ebd55e063549dddd058853262802498acc82ac28 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/group_theory/group_action/sub_mul_action.lean | 81abf2bde26e581db0b5b59244868475395b96bd | [
"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 | 5,156 | 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 algebra.group_action_hom
import algebra.module.basic
import data.set_like
import group_theory.group_action.basic
/-!
# Sets invariant to a `mul_action`
In this fil... |
18d6be498f06f189631e627f7af85f1cc5665602 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/abelian/non_preadditive_auto.lean | a025280fdd2e8086e3dd1d40b687e5a6527154ec | [] | 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 | 21,946 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.finite_products
import Mathlib.category_theory.limits.shapes.ke... |
ab54c63e5a464086faaa9ec8eb10daa278232930 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/InvolutiveRingoidWithAntiDistrib.lean | b108b6cd17d72d37edfe079ce937eb962626393d | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,971 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section InvolutiveRingoidWithAntiDistrib
structure InvolutiveRingoidWithAntiDistrib (A : Type) : Type :=
(times : (A → (A → A)))
(plus : (A → (A → A)))
(leftDist... |
db5ea86f8410765a31279db22f3fe302668dc4ef | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/IR/ExpandResetReuse.lean | aab8af752ca874015893c7d12f5ae2533c153f76 | [
"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 | 9,851 | 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.Compiler.IR.CompilerM
import Lean.Compiler.IR.NormIds
import Lean.Compiler.IR.FreeVars
namespace Lean.IR.ExpandResetReuse
/-- Mapping from vari... |
8feca753bd5af95943d18f59e52a470ec7602f73 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/subset_properties.lean | f02b47111ad37781ea59ffc23d3d63e10c0d8405 | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 31,139 | 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
Properties of subsets of topological spaces: compact, clopen, irreducible,
connected, totally disconnected, totally separated.
-/
import topology.const... |
73cf931c0961542ff67d4bc8b2de1b9021976912 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/affine_space/affine_subspace.lean | f29f4999e542ba62916bd5c44da6ee0c54447905 | [
"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 | 45,463 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.affine_space.basic
import linear_algebra.tensor_product
import data.set.intervals.unordered_interval
/-!
# Affine spaces
This file defines affine ... |
b1f63d5a322745120b62710a4b80fb02649f0600 | 83c8119e3298c0bfc53fc195c41a6afb63d01513 | /library/init/meta/interactive.lean | 477563d433bdd8e1b14b2884fcd79b6f69f73b42 | [
"Apache-2.0"
] | permissive | anfelor/lean | 584b91c4e87a6d95f7630c2a93fb082a87319ed0 | 31cfc2b6bf7d674f3d0f73848b842c9c9869c9f1 | refs/heads/master | 1,610,067,141,310 | 1,585,992,232,000 | 1,585,992,232,000 | 251,683,543 | 0 | 0 | Apache-2.0 | 1,585,676,570,000 | 1,585,676,569,000 | null | UTF-8 | Lean | false | false | 70,943 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.meta.rewrite_tactic init.meta.simp_tactic
import init.meta.smt.congruence_closure init.category.combinators
import init... |
1cec6e1441f6bceb81baa50e4c6c717c4065e53f | 574dac3bf276ecf173ecf82fca6c3b0c96bfe477 | /library/init/meta/converter/interactive.lean | e9bfb723b191cb5cf71aca50c6bf558698d0e9bb | [
"Apache-2.0"
] | permissive | thormikkel2/lean | 511050dcaa22894e0520ec6d1ff7352afed66590 | 201f6cdc5986f2cf2dcef9f6645dfa6840a93f0f | refs/heads/master | 1,672,552,832,086 | 1,602,781,965,000 | 1,602,781,965,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,872 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
Converter monad for building simplifiers.
-/
prelude
import init.meta.interactive
import init.meta.converter.conv
namespace conv
meta def save_info (p : pos)... |
3add82fb22406fe5b1367e562c69e9969ed3168a | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/continued_fractions/basic.lean | 2e61569c0d012b946b4850fa40f01bc122bb64a8 | [
"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 | 13,778 | lean | /-
Copyright (c) 2019 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import data.seq.seq
import algebra.field.basic
/-!
# Basic Definitions/Theorems for Continued Fractions
## Summary
We define generalised, simple, and regular co... |
0ab2b8bc90fd822b044282c9396a1212495ba63c | ecdf4e083eb363cd3a0d6880399f86e2cd7f5adb | /src/category_theory/group_object.lean | 66318f5ae2e8a9741b824eb71d94553af76ffe03 | [] | no_license | fpvandoorn/formalabstracts | 29aa71772da418f18994c38379e2192a6ef361f7 | cea2f9f96d89ee1187d1b01e33f22305cdfe4d59 | refs/heads/master | 1,609,476,761,601 | 1,558,130,287,000 | 1,558,130,287,000 | 97,261,457 | 0 | 2 | null | 1,550,879,230,000 | 1,500,056,313,000 | Lean | UTF-8 | Lean | false | false | 4,173 | lean | -- Copyright (c) 2019 Jesse Han. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Jesse Han
import .finite_limits
open category_theory category_theory.limits category_theory.limits.binary_product
category_theory.limits.finite_limits
universes v u
local inf... |
76894bc0f3be35b109b41bba13ba094bf2152430 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/autoBoundImplicits2.lean | e87d79922dd94a97c5ed63d617e262f6a4e0a54b | [
"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 | 1,084 | lean | def f [Add α] (a : α) : α :=
a + a
set_option relaxedAutoImplicit false
def BV (n : Nat) := { a : Array Bool // a.size = n }
def allZero (bv : BV n) : Prop :=
∀ i, i < n → bv.val[i]! = false
def foo (b : BV n) (h : allZero b) : BV n :=
b
def optbind (x : Option α) (f : α → Option β) : Option β :=
match x wit... |
35ad6e482d7b9ce7639dd6816c01ee720da6f4ac | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /src/Lean/KeyedDeclsAttribute.lean | fa22052dc813dfaca7723be243848f6bccb17a35 | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,307 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Attributes
import Lean.Compiler.InitAttr
import Lean.ToExpr
import Lean.ScopedEnvExtension
import Lean.Compiler.IR.CompilerM
... |
6501282c0f4a938733c8b9b77b433bf8fcc8714a | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/monoid_algebra/basic.lean | 0ad604262a1a7f5df17a6791201872a18bd5bd67 | [
"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 | 67,025 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury G. Kudryashov, Scott Morrison
-/
import algebra.big_operators.finsupp
import algebra.hom.non_unital_alg
import linear_algebra.finsupp
/-!
# Monoid algebras
When ... |
9c5c2c5cdd8c7b6cbe98295d7379da60c63618c2 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/coe10.lean | cf3101b311633516678bcb0c4f7ba56e450d499b | [
"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 | 377 | lean | import data.nat
open nat
inductive fn2 (A B C : Type) :=
mk : (A → C) → (B → C) → fn2 A B C
definition to_ac [coercion] {A B C : Type} (f : fn2 A B C) : A → C :=
fn2.rec (λ f g, f) f
definition to_bc [coercion] {A B C : Type} (f : fn2 A B C) : B → C :=
fn2.rec (λ f g, g) f
constant f : fn2 Prop nat nat
constant a :... |
4a13a1d04d3a2b6b1aaf59e6cdfa3b0d08a11f8c | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/analysis/convex/basic.lean | 96827ac41c31876b81237281ea8c8604e452b53d | [
"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 | 58,212 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov
-/
import data.set.intervals.ord_connected
import data.set.intervals.image_preimage
import data.complex.module
import linear_algebra.affine_spac... |
f33892e97761ceabde1f82f07145ce515afec2c7 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/algebra/open_subgroup.lean | ab088c33023483f73b7aadfb3000eb7ebb68ad11 | [
"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 | 7,216 | lean | /-
Copyright (c) 2019 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import order.filter.lift
import topology.opens
import topology.algebra.ring
open topological_space
open_locale topological_space
set_option old_structure_cmd true
/... |
6b3c352580afcfdfafc9e86c4ebaa37eed746023 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/is_R_or_C/lemmas.lean | 93d976cb3acab79a8a0006d2369e3155f18d0314 | [
"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 | 2,728 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import analysis.normed_space.finite_dimension
import field_theory.tower
import data.is_R_or_C.basic
/-! # Further lemmas about `is_R_or_C`
> THIS FILE IS SYNCHRO... |
ae15d77d7c43baca3f5f3aba6f03c8814fb4d753 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/homeomorph.lean | 1bda797af539909f7f4b1f6933d0e2a0f0d73775 | [
"Apache-2.0"
] | permissive | lacker/mathlib | f2439c743c4f8eb413ec589430c82d0f73b2d539 | ddf7563ac69d42cfa4a1bfe41db1fed521bd795f | refs/heads/master | 1,671,948,326,773 | 1,601,479,268,000 | 1,601,479,268,000 | 298,686,743 | 0 | 0 | Apache-2.0 | 1,601,070,794,000 | 1,601,070,794,000 | null | UTF-8 | Lean | false | false | 9,771 | lean | /-
Copyright (c) 2019 Reid Barton. 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
-/
import topology.dense_embedding
open set
variables {α : Type*} {β : Type*} {γ : Type*} {δ : Type*}
/-- ... |
6fabc65b6a306eea8dcc288dbce1cc3f0f2350fa | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed_space/compact_operator.lean | 3561553dd0bce697aa90ff746253b061aa23c706 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 22,379 | lean | /-
Copyright (c) 2022 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import analysis.locally_convex.bounded
import topology.algebra.module.strong_topology
/-!
# Compact operators
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any c... |
3aaa2004a6c8dee83d98bcbfda1805ed3218d9d7 | 618003631150032a5676f229d13a079ac875ff77 | /src/logic/relator.lean | 9b1e6c39071a16db5d57187beffc67026e1716a4 | [
"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 | 3,831 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Relator for functions, pairs, sums, and lists.
-/
namespace relator
universe variables u₁ u₂ v₁ v₂
reserve infixr ` ⇒ `:40
/- TODO(johoelzl):
* should we introduce ... |
5d11b8b39887388bf0ce853226a395624ab51124 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/metric_space/gluing.lean | e294f78628db1ea733ef517814fa6ef3987d9677 | [
"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 | 23,684 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.metric_space.isometry
/-!
# Metric space gluing
Gluing two metric spaces along a common subset. Formally, we are given
```
Φ
Z ---> X
... |
8db0de0ca3e60425ffbc5aefe3b48548d90f758b | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/analysis/normed_space/basic.lean | 717384a85ae9afe17e2cbff411805f6028d366c4 | [
"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 | 46,844 | 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
-/
import topology.instances.nnreal
import topology.instances.complex
import topology.algebra.module
import topology.metric_space.antilipschitz
/-!
# No... |
c72ded8631c61617cea91f6cc81a6c56d5436c62 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/homology/short_exact/preadditive.lean | 899a730744bd9e9595196351604ecc3e8faeba25 | [
"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 | 10,718 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Andrew Yang
-/
import algebra.homology.exact
import category_theory.preadditive.additive_functor
/-!
# Short exact sequences, and splittings.
> THIS FILE IS SYNCHRONI... |
a056cfbaad76fc093fd95fe6fb12eb7399aa4c35 | 7b681d6cc18477cf6b60470d9782923d3ea63915 | /W2-logic.lean | 761bcce9d9f17a86ca02ee4ee7be40f129604db6 | [] | no_license | osoulim/LEAN | a7458f597abbe5c36ebbb3f36eab29a4c60f5140 | 5e0dc240e86e392fdab4b2ffdcc3174c0cce7b66 | refs/heads/master | 1,591,850,481,195 | 1,561,547,647,000 | 1,561,547,647,000 | 193,852,039 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 655 | lean | def P := 0 = 0
def Q := 1 = 1
#check Q
lemma proofP : P := eq.refl 0
lemma proofQ : Q := sorry
theorem and1 : P ∧ Q
:= and.intro proofP proofQ
#check and1
#check and.intro proofQ proofP
theorem pfPQ : P ∧ Q :=
begin
apply and.intro,
exact eq.refl 0,
exact eq.refl 1
end
theorem pfPQ' : P ∧ Q :=
beg... |
55e714b9fc163486a0fbfd6c1881800fd1d1d502 | 4da0c8e61fcd6ec3f3be47ee14a038850c03d0c3 | /src/s5/completeness.lean | a09fd5f47a9b125f37674af5f695f35913d990f3 | [
"Apache-2.0"
] | permissive | bbentzen/mpl | fcbea60204bc8fd64667e0f76a5cebf4b67fb6ca | bb5066ec51fa11a4b66f440c4f6c9a3d8fb2e0de | refs/heads/master | 1,625,175,849,308 | 1,624,207,634,000 | 1,624,207,634,000 | 142,774,375 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,629 | lean | /-
Copyright (c) 2018 Bruno Bentzen. All rights reserved.
Released under the Apache License 2.0 (see "License");
Author: Bruno Bentzen
-/
import .consistency ..encode
open nat set classical
local attribute [instance, priority 0] prop_decidable
variables {σ : nat}
/- maximal set of a context -/
nam... |
6be4d466bac7998898b6759e9d191d5d2d1e8256 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/genindices.lean | a7c390a8a3c6d384f96a7afa85e26e9bb5b760bc | [
"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 | 727 | lean | import Init.Lean
universe u
inductive Pred : ∀ (α : Type u), List α → Type (u+1)
| foo {α : Type u} (l1 : List α) (l2 : List (Option α)) : Pred (Option α) l2 → Pred α l1
axiom goal : forall (α : Type u) (xs : List (List α)) (h : Pred (List α) xs), xs ≠ [] → xs = xs
open Lean
open Lean.Meta
def tst1 : MetaM Unit :=... |
5a433034071ff8bcd545f1148676b6db3618dbe9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/roots_of_unity/complex.lean | d5841c9d4726bcb0eb054920af14ca1638257c14 | [
"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 | 7,120 | 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 analysis.special_functions.complex.log
import ring_theory.roots_of_unity.basic
/-!
# Complex roots of unity
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any ... |
0871336258de85a5415d7c121c59747502f69630 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/has_variable_names.lean | 5ff1c7cec7c4f7e65e56145b0a44bf15598278d0 | [] | 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 | 9,510 | lean | /-
Copyright (c) 2020 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jannis Limperg
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.core
import Mathlib.PostPort
universes u l v u_1 u_2
namespace Mathlib
/-!
# A ta... |
81507b57bd9489bd091c418bc3a8b7fa86c9ee7d | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/multiset/finset_ops.lean | e8e5a03ff8a3d2f1116704f2d53864501f995650 | [
"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 | 8,673 | 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.multiset.dedup
/-!
# Preparations for defining operations on `finset`.
The operations here ignore multiplicities,
and preparatory for defining the corre... |
8c1896b50444164889a90368be43652d224ae67b | e61a235b8468b03aee0120bf26ec615c045005d2 | /tests/bench/parser.lean | 4438f318226c1c45a6a100375b94b0842fb518a2 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 241 | lean | import Init.Lean.Parser
def main : List String → IO Unit
| [fname, n] => do
env ← Lean.mkEmptyEnvironment;
n.toNat!.forM $ fun _ =>
discard $ Lean.Parser.parseFile env fname;
pure ()
| _ => throw $ IO.userError "give file"
|
c468fdf7cbc9fae55fc730716dad6abfc48504a0 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/subring/pointwise.lean | 8bdf8604ce3a67bd6d69b963f11c8c1500e43f5f | [
"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 | 4,489 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import ring_theory.subsemiring.pointwise
import group_theory.subgroup.pointwise
import ring_theory.subring.basic
/-! # Pointwise instances on `subring`s
This file provide... |
83a2c890cbcce949e513835073ab84d462bc0ff4 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/e17.lean | 849db414bfb6f325543b0a517f56abaa4dbe06c9 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 422 | lean | inductive nat : Type :=
| zero : nat
| succ : nat → nat
inductive list (A : Type) : Type :=
| nil {} : list A
| cons : A → list A → list A
inductive int : Type :=
| of_nat : nat → int
| neg : nat → int
coercion of_nat
variables n m : nat
variables i j : int
check cons i (cons i nil)
check cons n (cons n nil)
che... |
88841ecf4981360a6fad0397322c9b3e5ce48638 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /library/init/data/list/lemmas.lean | 319c60f0a7c480b4ab09a238365d2b1ba55d8f6c | [
"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 | 10,451 | lean | /-
Copyright (c) 2014 Parikshit Khanna. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Parikshit Khanna, Jeremy Avigad, Leonardo de Moura, Floris van Doorn
-/
prelude
import init.data.list.basic init.function init.meta init.data.nat.lemmas
import init.meta.interactive i... |
1e73d13e0ee559e64d00acbb3468329ed5a502e3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/interactive/hoverBinderUndescore.lean | 04b6c34433c5aae4a3aa056456a060d0545cb1be | [
"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 | 314 | lean | def f : Nat → Bool → Nat :=
fun _ _ => 5
--^ textDocument/hover
--^ textDocument/hover
def g : Nat → Bool → Nat :=
fun (_ _) => 5
--^ textDocument/hover
--^ textDocument/hover
def h : Nat → Bool → Nat :=
fun (_ _ : _) => 5
--^ textDocument/hover
--^ textDocument/hover
|
fb635781d8cf79c127491792be5a8a1fb8495382 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /counterexamples/pseudoelement.lean | ef4f62ba6cb7dd724a0872bdff0a71bdbcaf9020 | [
"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 | 5,414 | lean | /-
Copyright (c) 2022 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import category_theory.abelian.pseudoelements
import algebra.category.Module.biproducts
/-!
# Pseudoelements and pullbacks
Borceux claims in Proposition 1.9.5 tha... |
56e9d4a21224beaee734f095400216714f4e2b92 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/data/list/of_fn.lean | 7afe7e6bb249c023b18e2a2c4e940a8bcb426806 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 2,629 | 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.basic
import data.fin
universes u
variables {α : Type u}
open nat
namespace list
/- of_fn -/
theorem length_of_fn_aux {n} (f : fin n → α) :
∀ ... |
c06cea43cdd9e41a9f1cfd00c709ec642cbe166a | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/category_theory/instances/Top/opens.lean | fa8eb0bbc9e7956335076ba3ad4bc36284fdc99c | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 3,482 | lean | import category_theory.instances.Top.basic
import category_theory.natural_isomorphism
import category_theory.opposites
import category_theory.eq_to_hom
open category_theory
open category_theory.instances
open topological_space
universe u
open category_theory.instances
namespace topological_space.opens
variables {X... |
f38de8e51ad7f0d3c98917fa841cb3877ed79b18 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/algebraic_independent.lean | e7b6cc5ce00c39b0f72b6103997ece7870ade6a3 | [
"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 | 21,887 | lean | /-
Copyright (c) 2021 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import ring_theory.adjoin.basic
import linear_algebra.linear_independent
import ring_theory.mv_polynomial.basic
import data.mv_polynomial.supported
import ring_theory.alg... |
7930d6f4bd3e69bd9a3c5aa6677a06a0702a236c | b561a44b48979a98df50ade0789a21c79ee31288 | /src/Lean/Meta/Basic.lean | d12bb8e480ba06a1d6a6a12b4f3c2a68d0a9ac10 | [
"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 | 50,639 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Data.LOption
import Lean.Environment
import Lean.Class
import Lean.ReducibilityAttrs
import Lean.Util.Trace
import Lean.Util.RecDepth
import Lea... |
2acaca46428a65993f72e9b5db910bfe4b362326 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /test/push_neg.lean | ba167094d2dbfb0932ecf7d77d0adc76c65464a2 | [
"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 | 2,030 | lean | import tactic.push_neg
example (h : ∃ p: ℕ, ¬ ∀ n : ℕ, n > p) (h' : ∃ p: ℕ, ¬ ∃ n : ℕ, n < p) : ¬ ∀ n : ℕ, n = 0 :=
begin
push_neg at *,
guard_target_strict ∃ (n : ℕ), n ≠ 0,
guard_hyp_strict h := ∃ (p n : ℕ), n ≤ p,
guard_hyp_strict h' := ∃ (p : ℕ), ∀ (n : ℕ), p ≤ n,
use 1,
end
-- In the next example, ℤ sh... |
8b7ac355da90971593887af36b1bec65bbc59c5d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/adjunction/opposites.lean | 496d3e8668605f08a08180ea1f23935ff70e3532 | [] | 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 | 7,996 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Thomas Read
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.adjunction.basic
import Mathlib.category_theory.yoneda
import Math... |
a73cf97c16b78691593582be6ba2e39b85d39cb4 | 6b45072eb2b3db3ecaace2a7a0241ce81f815787 | /tools/super/intuit.lean | da8dc02c3032b030eb40470101a87082a37761b0 | [] | no_license | avigad/library_dev | 27b47257382667b5eb7e6476c4f5b0d685dd3ddc | 9d8ac7c7798ca550874e90fed585caad030bbfac | refs/heads/master | 1,610,452,468,791 | 1,500,712,839,000 | 1,500,713,478,000 | 69,311,142 | 1 | 0 | null | 1,474,942,903,000 | 1,474,942,902,000 | null | UTF-8 | Lean | false | false | 2,560 | lean | import super.clausifier super.cdcl super.trim
open tactic super expr monad
-- Intuitionistic propositional prover based on
-- SAT Modulo Intuitionistic Implications, Claessen and Rosen, LPAR 2015
namespace intuit
meta def check_model (intuit : tactic unit) : cdcl.solver (option cdcl.proof_term) :=
do s ← state_t.rea... |
fc4c9254b7fe1d48588b38abe03e7ba16474ec37 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/univ_of_instances.lean | ae52ba7577fd4a6059ddddc9ec58e14356be5226 | [
"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 | 191 | lean | section
universes v u
class category (C : Type u) := (hom : C → C → Type v)
end
section
universes v u
variables (C : Type u) [category.{v} C]
def End (X : C) := category.hom X X
end
|
7aa76ef1107a523f4bf724b653f1b019ac96d465 | 3863d2564418bccb1859e057bf5a4ef240e75fd7 | /hott/init/equiv.hlean | 18fba5ff1685ef3ce9f4ab511678ac5930b0bcd0 | [
"Apache-2.0"
] | permissive | JacobGross/lean | 118bbb067ff4d4af48a266face2c7eb9868fa91c | eb26087df940c54337cb807b4bc6d345d1fc1085 | refs/heads/master | 1,582,735,011,532 | 1,462,557,826,000 | 1,462,557,826,000 | 46,451,196 | 0 | 0 | null | 1,462,557,826,000 | 1,447,885,161,000 | C++ | UTF-8 | Lean | false | false | 17,168 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad, Jakob von Raumer, Floris van Doorn
Ported from Coq HoTT
-/
prelude
import .path .function
open eq function lift
/- Equivalences -/
-- This is our definition of... |
c50572b0df823c2f4c9a63b305665a48a3124099 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/t14.lean | 916cae8b544ba29d9d01243843194eb086baa2d2 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 676 | lean |
namespace foo
variable A : Type.{1}
variable a : A
variable x : A
variable c : A
end
section
using foo (renaming a->b x->y) (hiding c)
check b
check y
check c -- Error
end
section
using foo (a x)
check a
check x
check c -- Error
end
section
using foo (a x) (hiding c) -- Error
end
section
... |
f374a26534eaf6808feafb48cc2fc791529fa6cd | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/special_functions/exp_log.lean | 4c0575ecc9d8089cebc68701126e248a6098ef4e | [
"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 | 34,883 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne
-/
import analysis.calculus.inverse
import analysis.complex.real_deriv
import data.complex.exponential
/-!
# Complex and rea... |
70c4b0aa4040739d4b200c875903550229d89cdc | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /analysis/ennreal.lean | 430a5bbefb85f8a8a384087848f536e499d4da37 | [
"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 | 17,293 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Extended non-negative reals
-/
import analysis.nnreal data.real.ennreal
noncomputable theory
open classical set lattice filter
local attribute [instance] prop_decidable
... |
f18c0b64c2d6813782708550ecc9b7c23ec644ca | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/polynomial/cyclotomic/eval.lean | 77a8f285d4c511e3c3ba29a7482270ba05bb26d2 | [
"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 | 16,312 | lean | /-
Copyright (c) 2021 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
import ring_theory.polynomial.cyclotomic.basic
import tactic.by_contra
import topology.algebra.polynomial
import number_theory.padics.padic_val
import analysis.compl... |
9fdb82490eac9b96b6de6b3b75f65787a9dca6ad | 49ffcd4736fa3bdcc1cdbb546d4c855d67c0f28a | /library/init/data/list/instances.lean | db76c8e261cffb584ad4d65f2e959cb741b559e3 | [
"Apache-2.0"
] | permissive | black13/lean | 979e24d09e17b2fdf8ec74aac160583000086bc8 | 1a80ea9c8e28902cadbfb612896bcd45ba4ce697 | refs/heads/master | 1,626,839,620,164 | 1,509,113,016,000 | 1,509,122,889,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,420 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.data.list.lemmas
import init.meta.mk_dec_eq_instance
open list
universes u v
local attribute [simp] join ret
instance : monad list :=
... |
cb248cf80571f69127c4f0fde19aeac46b14be5b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/DSL/Attributes.lean | 3f0ec39945e054a5588c593324f7e52c0417722d | [
"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 | 2,438 | lean | /-
Copyright (c) 2021 Mac Malone. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mac Malone
-/
import Lake.Util.OrderedTagAttribute
open Lean
namespace Lake
initialize packageAttr : OrderedTagAttribute ←
registerOrderedTagAttribute `package "mark a definition as a ... |
ff5937c881e47c52bdb5e4b8a696391c815e4202 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/deprecated/subring.lean | 019839500077124069e77adc069b8b0490107406 | [
"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 | 8,811 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import deprecated.subgroup
import deprecated.group
import ring_theory.subring.basic
/-!
# Unbundled subrings (deprecated)
This file is deprecated, and is no longer ... |
8be6854195b11cd141d29fbd94cfe97e24d3823d | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/sheaves/presheaf.lean | d892a09e2471dcf4f671dad7f86290579f4a3cb7 | [
"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 | 11,962 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Mario Carneiro, Reid Barton, Andrew Yang
-/
import category_theory.limits.kan_extension
import category_theory.adjunction
import topology.category.Top.opens
/-!
# Pres... |
7ebe489a1a5b69e84bc938226bd3cfdc67074e9e | abd85493667895c57a7507870867b28124b3998f | /src/data/opposite.lean | 18f8bc0f5a271b24a956042cd1dc86fa05356eda | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 3,997 | 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, Simon Hudon, Kenny Lau
Opposites.
-/
import data.list.defs
import data.equiv.basic
universes v u -- declare the `v` first; see `category_theory.category`... |
c4a4f3fead48089bf40adfd9b0b3ca185d21af32 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/monoid/basic.lean | 50bd75e3cf7535ec5200b3c9e17ba1c0ce1fcdbc | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 3,079 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.order.monoid.defs
import algebra.group.inj_surj
import order.hom.basic
/-!
# Ordered monoids
This fi... |
fdcf4d65ce22af9a455524c8a54dc944f5e89827 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/1986.lean | 68cf03faabab03c5269c0a50b8120442fae28436 | [
"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 | 7,380 | lean | instance {ι : Type u} {α : ι → Type v} [∀ i, LE (α i)] : LE (∀ i, α i) where
le x y := ∀ i, x i ≤ y i
class Top (α : Type u) where
top : α
class Bot (α : Type u) where
bot : α
notation "⊤" => Top.top
notation "⊥" => Bot.bot
class Preorder (α : Type u) extends LE α, LT α where
le_refl : ∀ a : α, a ≤ a
le_... |
0d48eaa24cdc1a91243d860243f66412e6a32c9b | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/algebra/archimedean.lean | 10df326163e484adc4a936ebe87e3fe36cc3ac3b | [
"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 | 12,818 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Archimedean groups and fields.
-/
import algebra.field_power
import data.rat
variables {α : Type*}
/-- An ordered additive commutative monoid is called `archimedean` ... |
423499b76032f3eb3bb41455a9f3bdefd482856a | 367134ba5a65885e863bdc4507601606690974c1 | /src/combinatorics/simple_graph/matching.lean | f2453f016b07042d82ce8bd8e26d79fd01301542 | [
"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 | 2,010 | lean | /-
Copyright (c) 2020 Alena Gusakov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Alena Gusakov.
-/
import data.fintype.basic
import data.sym2
import combinatorics.simple_graph.basic
/-!
# Matchings
## Main definitions
* a `matching` on a simple graph is a subset o... |
84b100400878b73d8c1e83017a3efadddeda90a9 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /library/data/list/comb.lean | 030b4c937d5a1cda1e904ee32c8349281c7a6ada | [
"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 | 21,031 | lean | /-
Copyright (c) 2015 Leonardo de Moura. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Haitao Zhang
List combinators.
-/
import data.list.basic data.equiv
open nat prod decidable function helper_tactics
namespace list
variables {A B C : Type}
/- m... |
73a3f2be5ca2e8b528691669ca44cdbd7faaaab6 | a4673261e60b025e2c8c825dfa4ab9108246c32e | /src/Lean/Parser/Basic.lean | 12fd483dbe75065d45adc1c4e647a75b1e8aaea4 | [
"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 | 64,327 | 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
-/
/-!
# Basic Lean parser infrastructure
The Lean parser was developed with the following primary goals in mind:
* flexibility: Lean's g... |
3e3375187dca38780d838d6a5a0de9bba2d06778 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/algebra/polynomial_auto.lean | fa9df827c19670b442d2e0084122b7e8d3291450 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,138 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.algebra_map
import Mathlib.data.polynomial.div
import Mathlib.topology.met... |
d5f1560539032cb9690dea56f1638a8fe9525442 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Elab/PreDefinition/MkInhabitant.lean | e8509a0708206e6d26e71eb429bc49e4fd8168e7 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,430 | 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.AppBuilder
namespace Lean.Elab
open Meta
private def mkInhabitant? (type : Expr) : MetaM (Option Expr) := do
try
pure $ some (← mkAr... |
ad0e127133a2d2462324c865ac3a4ec94a06363c | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/cardinality/union_finite.lean | 33638c70fa506bf9173252677e8fcf84585524e2 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 479 | lean | import data.real.basic
import topology.basic
open function
open set
namespace xena -- hide
/-
# Chapter 7 : Cardinality
## Level 1
A classical result about finite sets.
-/
-- begin hide
local attribute [instance] classical.prop_decidable
-- end hide
/- Lemma
If $f : X \to Y$ is an injective function and $Y$ is fi... |
6fc6341595ddc99949ccdc0e00eb4744227a7678 | 78269ad0b3c342b20786f60690708b6e328132b0 | /src/library_dev/data/int/basic.lean | 10a8378febf97ca7e41611ceb9a901e51665511b | [] | no_license | dselsam/library_dev | e74f46010fee9c7b66eaa704654cad0fcd2eefca | 1b4e34e7fb067ea5211714d6d3ecef5132fc8218 | refs/heads/master | 1,610,372,841,675 | 1,497,014,421,000 | 1,497,014,421,000 | 86,526,137 | 0 | 0 | null | 1,490,752,133,000 | 1,490,752,132,000 | null | UTF-8 | Lean | false | false | 3,176 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
import ..nat.sub
open nat
-- TODO: where to put these?
meta def simp_coe_attr : user_attribute :=
{ name... |
9ae8588d32aa6e4821528737a7e5d6bbe6ebbe0f | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Lean/Elab/PreDefinition/Structural/SmartUnfolding.lean | aaf3b54563ed79cc3cc9e3acdb2d2281f4a48e23 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 3,202 | 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.PreDefinition.Basic
import Lean.Elab.PreDefinition.Structural.Basic
namespace Lean.Elab.Structural
open Meta
partial def addSmartUnfoldin... |
a91e2cdcf3b335e164c337913704b078b9bae339 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/ring_theory/polynomial/basic.lean | 669a839d3909d63fc0c056172a3ab5d4bd284255 | [
"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 | 43,756 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.char_p.basic
import data.mv_polynomial.comm_ring
import data.mv_polynomial.equiv
import ring_theory.principal_ideal_domain
import ring_theory.polynomial.content... |
212db2736966d9f22fd3eca42d2b5d07c4e15607 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/algebra/group_with_zero/basic.lean | 01eed75fad8afeb3432f11091c55d3f41d36a135 | [
"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 | 41,617 | 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 logic.nontrivial
import algebra.group.units_hom
import algebra.group.inj_surj
import algebra.group_with_zero.defs
/-!
# Groups with an adjoined zero element
... |
be1b6547c6389a845c2a4fe2c17407276ac0cc53 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/keyword_tactics.lean | 8f657ebf6fb65ba82de2e0cb35fb8741318f8426 | [
"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 | 835 | lean | example : ℕ → ℕ → ℕ :=
begin
assume n m,
apply n
end
example : ℕ → ℕ → ℕ :=
begin
assume (n m : ℕ),
apply n
end
example : ℕ → ℕ → ℕ :=
begin
assume n : ℕ × ℕ <|> assume n m : ℕ,
apply n
end
example : ¬false :=
begin
assume contr,
apply contr
end
example : Π α : Type, α → α :=
begin
assume α,
ass... |
5bb38959afdfb24aebbcfb0de2031ad3cb9a0936 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/measure/with_density_vector_measure.lean | fb74f735253003f2bc51f8cc2dac80b78ab96b1c | [
"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 | 8,622 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.measure.vector_measure
import measure_theory.function.ae_eq_of_integral
/-!
# Vector measure defined by an integral
Given a measure `μ` and an inte... |
c456d9ac9dd400a0f8fecfa0b86010540220fa42 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/group_theory/coset.lean | e23ab6f7a6ec94bdb3d12fda2d93691502680255 | [
"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 | 11,448 | lean | /-
Copyright (c) 2018 Mitchell Rowett. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mitchell Rowett, Scott Morrison
-/
import group_theory.subgroup data.equiv.basic data.quot
open set function
variable {α : Type*}
@[to_additive left_add_coset]
def left_coset [has_m... |
e9598cb57e837b7aa00abbf07e7231e2aeef6637 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/preserves/shapes/pullbacks.lean | 47d26ecc254332005f1bbd0b340a222310f168d7 | [] | 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 | 5,642 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.shapes.pullbacks
import Mathlib.category_theory.limits.preserves.basic
i... |
a7c600924fc76cc72e8aad323b6f64b4720f5479 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/simp6.lean | 64f36a558c05a57b31358c17db4894630cfc07c7 | [
"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 | 737 | lean | theorem ex1 (a : α) (b : List α) : (a::b = []) = False :=
by simp
theorem ex2 (a : α) (b : List α) : (a::b = []) = False :=
by simp
theorem ex3 (x : Nat) : (if Nat.succ x = 0 then 1 else 2) = 2 :=
by simp
theorem ex4 (x : Nat) : (if 10 = 0 then 1 else 2) = 2 :=
by simp
theorem ex5 : (10 = 20) = False :=
b... |
d3320ad0d0243e8b034a3607d9259ffbded56afc | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/shapes/constructions/over/products.lean | 44ecd390a1568de86a0d8cb9d0e6743a3f787176 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 5,992 | 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 category_theory.over
import category_theory.limits.shapes.pullbacks
import category_theory.limits.shapes.wide_pullbacks
import categ... |
b29afc4bfd7eecd0a3d0e217f636db77fc943ae4 | 1d265c7dd8cb3d0e1d645a19fd6157a2084c3921 | /src/lessons/lesson10.lean | 28931ba0b8643d71780fe8e4303c21300faa49f3 | [
"MIT"
] | permissive | hanzhi713/lean-proofs | de432372f220d302be09b5ca4227f8986567e4fd | 4d8356a878645b9ba7cb036f87737f3f1e68ede5 | refs/heads/master | 1,585,580,245,658 | 1,553,646,623,000 | 1,553,646,623,000 | 151,342,188 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 914 | lean | def alwaysTrue : ℕ → Prop := λ n, n ≥ 0
def alwaysFalse : ℕ → Prop := λ n, n < 0
inductive day : Type
| Monday
| Tuesday
| Wednesday
| Thursday
| Friday
| Saturday
| Sunday
#check day.Tuesday
open day -- no longer need to day. prefix
#check Tuesday
-- Answer
def isWeekend : day → Prop :=
λ d, d = Saturday ∨... |
50ee75e712536b48fc05ab9735cebc7789d7cb3d | 78269ad0b3c342b20786f60690708b6e328132b0 | /src/library_dev/data/num/lemmas.lean | 0923b3d2966ff7abaaa8856a09e57499298f2be2 | [] | no_license | dselsam/library_dev | e74f46010fee9c7b66eaa704654cad0fcd2eefca | 1b4e34e7fb067ea5211714d6d3ecef5132fc8218 | refs/heads/master | 1,610,372,841,675 | 1,497,014,421,000 | 1,497,014,421,000 | 86,526,137 | 0 | 0 | null | 1,490,752,133,000 | 1,490,752,132,000 | null | UTF-8 | Lean | false | false | 15,909 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Properties of the binary representation of integers.
-/
import .basic .bitwise
meta def unfold_coe : tactic unit :=
`[unfold coe lift_t has_lift_t.lift coe_t has... |
11d23abf0bfb43a5c2ec2cbfaa251cea1299dfc2 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/fintype/basic.lean | d6caad2bc956d568940ecf0aba459d3cd8d5c9e9 | [
"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 | 46,146 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import tactic.wlog
import data.finset.powerset
import data.finset.lattice
import data.finset.pi
import data.array.lemmas
universes u v
variables {α : ... |
4825e37ed1730931d2a68e37108727716bd591d9 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/ring_theory/complex.lean | 598d189f045c21e5db3cb43a31c706292e16f14a | [
"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 | 1,439 | lean | /-
Copyright (c) 2023 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import data.complex.module
import ring_theory.norm
import ring_theory.trace
/-! # Lemmas about `algebra.trace` and `algebra.norm` on `ℂ` -/
open complex
lemma algebra.le... |
14ee6f2dbff6448e069d064217b00d35260ee76c | 74caf7451c921a8d5ab9c6e2b828c9d0a35aae95 | /library/init/meta/comp_value_tactics.lean | 3abd33963880f3abfcf21a5e4d1c3c44f1673e08 | [
"Apache-2.0"
] | permissive | sakas--/lean | f37b6fad4fd4206f2891b89f0f8135f57921fc3f | 570d9052820be1d6442a5cc58ece37397f8a9e4c | refs/heads/master | 1,586,127,145,194 | 1,480,960,018,000 | 1,480,960,635,000 | 40,137,176 | 0 | 0 | null | 1,438,621,351,000 | 1,438,621,351,000 | null | UTF-8 | Lean | false | false | 2,047 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic
meta constant mk_nat_val_ne_proof : expr → expr → option expr
meta constant mk_nat_val_lt_proof : expr → expr → option expr... |
db68c18cb599c47ed4c85bbacc672881b912a1fc | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/tactic/simps.lean | bf2e4a88f906c4c71c50a5fa6f87c8610e657667 | [
"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 | 32,484 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import tactic.core
/-!
# simps attribute
This file defines the `@[simps]` attribute, to automatically generate simp-lemmas
reducing a definition when projection... |
4bc8f8bf34ba3944d31727fce19cb20b20629ec6 | 618003631150032a5676f229d13a079ac875ff77 | /src/logic/function/basic.lean | 78a5e6c05bf9d51decaa2e485b680a7832183c36 | [
"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 | 13,562 | lean | /-
Copyright (c) 2016 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import logic.basic
import data.option.defs
/-!
# Miscellaneous function constructions and lemmas
-/
universes u v w
namespace function
section
var... |
43504bfc562d16bda85f5057e1a36cf0e78c9335 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/data/list/rotate.lean | 27b8dcdbd99254f112e9fc110baef75436c60b85 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,405 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yakov Pechersky
-/
import data.list.perm
import data.list.range
/-!
# List rotation
This file proves basic results about `list.rotate`, the list rotation.
## Main declar... |
e569c0d542e6d2562eea2f37f4d7310257a2f8b7 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/measure_theory/covering/vitali.lean | ce810149771fb3a5ca0b2358ecdc8a808bc30477 | [
"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 | 25,650 | 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 topology.metric_space.basic
import measure_theory.constructions.borel_space
/-!
# Vitali covering theorems
The topological Vitali covering theorem, in ... |
14664fae4a2fe1dfea8707557d45d6f7ce58e9d5 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/init/trunc.hlean | 4b5ebb4e4db1cb6a108ffc4add86f282f603982e | [
"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 | 12,710 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Floris van Doorn
Definition of is_trunc (n-truncatedness)
Ported from Coq HoTT.
-/
prelude
import .nat .logic .equiv .pathover
open eq nat sigma unit sigma.ops... |
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