blob_id stringlengths 40 40 | directory_id stringlengths 40 40 | path stringlengths 7 139 | content_id stringlengths 40 40 | detected_licenses listlengths 0 16 | license_type stringclasses 2
values | repo_name stringlengths 7 55 | snapshot_id stringlengths 40 40 | revision_id stringlengths 40 40 | branch_name stringclasses 6
values | visit_date int64 1,471B 1,694B | revision_date int64 1,378B 1,694B | committer_date int64 1,378B 1,694B | github_id float64 1.33M 604M ⌀ | star_events_count int64 0 43.5k | fork_events_count int64 0 1.5k | gha_license_id stringclasses 6
values | gha_event_created_at int64 1,402B 1,695B ⌀ | gha_created_at int64 1,359B 1,637B ⌀ | gha_language stringclasses 19
values | src_encoding stringclasses 2
values | language stringclasses 1
value | is_vendor bool 1
class | is_generated bool 1
class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d595d1d1ed6b35e4b2387160ddb72842f200a43b | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/langs/imp.lean | 5a034aefae8e554e837bb6925018882e65a78a81 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 5,285 | lean | import .arith_expr
import .bool_expr
/-
A little PL in which we have mutable
state and an update (assignment) operation.
-/
/-
We don't have mutable state in a pure functional language
-/
def x := 1
-- def x := 2
-- structure avar : Type := (idx : nat)
def X := avar.mk 0
def Y := avar.mk 1
def Z := avar.mk 2
def ... |
d761434aa409976463a5a9a5c82e57551ffac699 | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/tutorials/tutorial0.lean | b80f40653a8acc1a1bafcd7ff69a7ae84767a9ba | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 4,772 | lean | import data.real.basic
import tactic.suggest
noncomputable theory
open_locale classical
--#check upper_bounds
def up_bounds (A : set ℝ) := { a : ℝ | ∀ x ∈ A, x ≤ a }
def is_max (a : ℝ) (A : set ℝ) := a ∈ A ∧ a ∈ up_bounds A
infix ` is_a_max_of `:55 := is_max
lemma unique_max : ∀ (A : set ℝ) (x y : ℝ),
x is_a_ma... |
7493af5189eaec1d9c7ea39d07785b3a8c71cd39 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/natlit.lean | 8c0f61426ec7673aca9ac48c025fc230566e3b78 | [
"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 | 188 | lean | new_frontend
def tst1 : 0 + 1 = 1 := rfl
def tst2 : 2 + 3 = 5 := rfl
def tst3 : 4 + 3 = 7 := rfl
def tst4 : 0 + 3 = 3 := rfl
def tst5 : 1 + 3 = 4 := rfl
def tst6 : 100 + 100 = 200 := rfl
|
dac32eaddc7ed2fe157ac5385f12ebe7c059a62b | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/group_theory/quaternion_group.lean | 824735264d8ed4d1e37ed7a8a50664fbdccb1082 | [
"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 | 8,079 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import data.zmod.basic
import group_theory.order_of_element
import data.nat.basic
import tactic.interval_cases
import group_theory.dihedral_group
/-!
# Quate... |
e83dce8f20692b3dadfd0e9742e5e0ab9448b557 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/divisibility_auto.lean | 1c43dd2981db5dd10863525c10bae7f7e9d3b955 | [] | 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 | 9,132 | 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, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland, Aaron Anderson
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
im... |
3fa846994dee2b0f45b6d17567d8289b4f228293 | abd85493667895c57a7507870867b28124b3998f | /src/analysis/normed_space/enorm.lean | 725e401a2ad03990d9ef738fe0db1fa8718b025d | [
"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 | 7,504 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury G. Kudryashov
-/
import analysis.normed_space.basic
/-!
# Extended norm
In this file we define a structure `enorm 𝕜 V` representing an extended norm (i.e., a norm that can
t... |
1a774fa536cf5a8b7d6dced6c263de6a9ed45914 | b29f946a2f0afd23ef86b9219116968babbb9f4f | /src/Bolzano_Weierstrass.lean | f98bf1687d0a5b5bcee91bd1445aa0b850940f60 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/M1P1-lean | 58be7394fded719d95e45e6b10e1ecf2ed3c7c4c | 3723468cc50f8bebd00a9811caf25224a578de17 | refs/heads/master | 1,587,063,867,779 | 1,572,727,164,000 | 1,572,727,164,000 | 165,845,802 | 14 | 4 | Apache-2.0 | 1,549,730,698,000 | 1,547,554,675,000 | Lean | UTF-8 | Lean | false | false | 2,192 | lean | import monotone limits
theorem bdd_above_of_is_bounded (f : ℕ → ℝ) (hfb : M1P1.is_bounded f) : bdd_above (set.range f) :=
let ⟨M, hm⟩ := hfb in ⟨M, λ y ⟨n, hn⟩, hn ▸ (abs_le.1 (hm n)).2⟩
theorem bdd_below_of_is_bounded (f : ℕ → ℝ) (hfb : M1P1.is_bounded f) : bdd_below (set.range f) :=
let ⟨M, hm⟩ := hfb in ⟨-M, λ y ⟨... |
c442c9a49e48935b9c5e498fcfea476a7167393f | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/group_theory/quotient_group.lean | 2e44d8241c74f0c0607d6e3803d78d6c29c20b76 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 7,183 | lean | /-
Copyright (c) 2018 Kevin Buzzard and Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Patrick Massot.
This file is to a certain extent based on `quotient_module.lean` by Johannes Hölzl.
-/
import group_theory.coset
universes u v
names... |
32fb14d3a1555efa122c89bcf6296845e286abef | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/LeftCancellative.lean | ac7c4889047a61a3caaa9834a919207debf6b92c | [] | 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 | 8,836 | 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 LeftCancellative
structure LeftCancellative (A : Type) : Type :=
(op : (A → (A → A)))
(linv : (A → (A → A)))
(leftCancel : (∀ {x y : A} , (op x (linv x y... |
aa3921fc9918c4391b99f95a07d0747138b98d94 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/category_theory/limits/shapes/terminal.lean | 6bd48914267f4e57be58f4af8983d3be4757bc43 | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 1,940 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.shapes.finite_products
import category_theory.pempty
universes v u
open category_theory
namespace category_theory.limits
variables (... |
bbf8c8e0a47720460f53f92d6bb0ae9bd1b66db4 | a11f4536efad51bc2b648123619720f3b9318c0f | /src/symm_trans_refl.lean | 813becf816a0c89e80fbd69f550a2f95e5331ccc | [] | no_license | ezrasitorus/codewars_lean | 909471d43f5130669a90b8e11afc37aec2f21d8f | 6d1abcc1253403511f4cfd767c645596175e4fd3 | refs/heads/master | 1,672,659,589,352 | 1,603,281,507,000 | 1,603,281,507,000 | 288,579,451 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 428 | lean | def bad_theorem : Prop :=
∀ (α : Type) (r : α → α → Prop), symmetric r → transitive r → reflexive r
def fail (a b : unit): Prop := false
theorem fail_symm : symmetric fail := λ x y h, h
theorem fail_trans : transitive fail := λ x y z h1 _, false.rec (fail x z) h1
-- theorem not_refl_fail : ¬ reflexive fail := λ a, ... |
ddfca1ffe50bb52c76ebec19cd30a287f4e5dbea | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/order/preorder_hom.lean | eb33a3ee73cba59e2d51f78f59946284bc83a1db | [
"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 | 18,394 | 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.function.iterate
import order.bounded_lattice
import order.complete_lattice
import tactic.monotonicity
/-!
# Preorder homomorphisms
This file defines p... |
a46011c6b1e1e80198974e7aefa27e9eb54fff52 | 8e6cad62ec62c6c348e5faaa3c3f2079012bdd69 | /src/topology/uniform_space/cauchy.lean | e2906cf63b63c48fb4bc55e57faab0315a6a53d1 | [
"Apache-2.0"
] | permissive | benjamindavidson/mathlib | 8cc81c865aa8e7cf4462245f58d35ae9a56b150d | fad44b9f670670d87c8e25ff9cdf63af87ad731e | refs/heads/master | 1,679,545,578,362 | 1,615,343,014,000 | 1,615,343,014,000 | 312,926,983 | 0 | 0 | Apache-2.0 | 1,615,360,301,000 | 1,605,399,418,000 | Lean | UTF-8 | Lean | false | false | 27,036 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import topology.uniform_space.basic
import topology.bases
import data.set.intervals
/-!
# Theory of Cauchy filters in uniform spaces. Complete uniform... |
37374369dda60f955c91361e1ca89b3ff5bcce6b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/ring/basic_auto.lean | e1222e4e317481db8df65315c507a564196b8d61 | [] | 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 | 47,329 | 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, Floris van Doorn, Amelia Livingston, Yury Kudryashov,
Neil Strickland
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.alg... |
64188cbe199338733f79a2f45415ecc9f9d072b7 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/ring_quot.lean | f5ab3683a3fe11cf25c54e12530e4a42d6e42ae4 | [
"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 | 11,343 | 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.algebra.basic
import ring_theory.ideal.basic
/-!
# Quotients of non-commutative rings
Unfortunately, ideals have only been developed in the commutati... |
06552e54c622188695d0b6979c7a2b8532e0bcd6 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/set_theory/ordinal_arithmetic_auto.lean | 12a518b758812b5bd0334c2c3d64d0cfbcec0fe7 | [] | 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 | 45,280 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.set_theory.ordinal
import Mathlib.PostPort
universes u_1 u_2 u u_3 v
namespace Mathlib
/... |
cad6d2b6f92d0bed2bb5fd404858ea711624d8c1 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_geometry/Gamma_Spec_adjunction.lean | 566db61904700bbad149cdc8d2f23e689c49db46 | [
"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 | 16,251 | lean | /-
Copyright (c) 2021 Junyan Xu. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Junyan Xu
-/
import algebraic_geometry.Scheme
import category_theory.adjunction.limits
import category_theory.adjunction.reflective
/-!
# Adjunction between `Γ` and `Spec`
> THIS FILE IS ... |
36199a971db559c91856888a8a0b8ed68c777dc5 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /library/algebra/interval.lean | 57dfd054ab5d3dc5c6524b59507ea2ca0d7de355 | [
"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 | 6,538 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Notation for intervals and some properties.
The mnemonic: o = open, c = closed, i = infinity. For example, Ioi a b is '(a, ∞).
-/
import .order data.set
open set
namespa... |
c256cafe2a18090f71a30ffacf379b5ea4c791c2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Init/Data/Nat/Div.lean | 31fe788f175d5d4f3d3beb5d8e0d47858460cab9 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 6,235 | 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.WF
import Init.WFTactics
import Init.Data.Nat.Basic
namespace Nat
theorem div_rec_lemma {x y : Nat} : 0 < y ∧ y ≤ x → x - y < x :=
fu... |
c31b8efd2bb3397d3cfe815bfe32ec7c27759af7 | 94d8c57c0a90adc01592a2509d65a360540671a9 | /M1F/2017-18/Example_Sheet_02/solutions.lean | 313eafa6d19af46262594c3900439524b3137ac2 | [] | no_license | TudorTitan/xena | ee58125263b84ca8787ea46778e7b4838c7b3057 | 389b9c40c43b26139722c88763f4d04d85467e0f | refs/heads/master | 1,628,408,454,654 | 1,510,265,443,000 | 1,510,265,443,000 | 110,169,835 | 0 | 0 | null | 1,510,264,043,000 | 1,510,264,043,000 | null | UTF-8 | Lean | false | false | 19,135 | lean | import xenalib.M1Fstuff algebra.group_power xenalib.square_root
-- automatic coercions to reals
section M1F_Sheet02
-- #check arbitrary
-- #print arbitrary
-- #check default
-- #print default
-- ask about this
/-
example : arbitrary = default :=
begin
unfold eq,
end
-/
-- set_option pp.all true
def countable... |
3aece32162bf881b69f9e3907ae100cf16cf4b56 | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/tactic/explode.lean | ef4ee54d30b547d6b85d629ba9f662f9d2d69299 | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 5,271 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Displays a proof term in a line by line format somewhat akin to a Fitch style
proof or the Metamath proof style.
-/
import tactic.basic meta.coinductive_predicates
open ... |
ad8ea0861be85203145001903579aa9a05093435 | 17d632ea5f1f2c2ec209290d6ba2172413c7247d | /.config.lean | 95a10d70f4d554b76ff50250329bf47aff3e3afc | [
"MIT"
] | permissive | zzc1308/MT1300 | 3ae434cbb5a874edd365719d6e8667b88de5a14d | ace57539645f4ac7f8170b95bb20e72849b34f15 | refs/heads/main | 1,677,561,804,582 | 1,612,434,366,000 | 1,612,434,366,000 | 335,842,283 | 0 | 0 | MIT | 1,612,414,537,000 | 1,612,414,537,000 | null | UTF-8 | Lean | false | false | 248,665 | lean | #
# Automatically generated file; DO NOT EDIT.
# OpenWrt Configuration
#
CONFIG_MODULES=y
CONFIG_HAVE_DOT_CONFIG=y
# CONFIG_TARGET_sunxi is not set
# CONFIG_TARGET_apm821xx is not set
# CONFIG_TARGET_ath25 is not set
# CONFIG_TARGET_ar71xx is not set
# CONFIG_TARGET_ath79 is not set
# CONFIG_TARGET_bcm27xx is not se... |
6711a56247cd8726f903cdfc198584744fa797cf | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /tests/lean/run/record10.lean | bd97747ef01036e1e635de3bb3ec354f0137f02c | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 452 | lean | #print prefix semigroup
#print "======================="
structure [class] has_two_muls (A : Type) extends has_mul A renaming mul→mul1,
private has_mul A renaming mul→mul2
#print prefix has_two_muls
#print "======================="
structure [class] another_two_muls (A : T... |
23f2dcf2fa1ecd518fdbef6ed5bcc4c78cf07ff3 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/data/list/basic.lean | 92706a397bd83cc53b74b07c69e7c8ae2436fff1 | [
"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 | 187,119 | 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 ... |
66cadd90f5759332570b834c120eaf8a201325c8 | 5c4a0908390c4938ae21bc616ff2a969ce62fd76 | /library/theories/analysis/metric_space.lean | 386c1ec805dc45500668920e5652c03786d231e2 | [
"Apache-2.0"
] | permissive | Bpalkmim/lean | 968be8a73a06fa6db19073cd463d2093464dc0f6 | 994815bc7793f5765beb693c82341cf01d20d807 | refs/heads/master | 1,610,964,748,106 | 1,455,564,675,000 | 1,455,564,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,638 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Metric spaces.
-/
import data.real.complete data.pnat data.list.sort ..topology.basic data.set
open nat real eq.ops classical
structure metric_space [class] (M : Type) : ... |
b246a5267bc739165889c3cd96b04626a8dfe720 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monoidal/opposite.lean | ff8730fff478e63b7c22e9d6631cfec697711365 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,328 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.monoidal.coherence
/-!
# Monoidal opposites
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR ... |
c15f615ae60379e6efe0392b68d365d0b6613303 | 827124860511172deb7ee955917c49b2bccd1b3c | /data/containers/utils/option.lean | 7faf7531c80e00f68d85ed30072a84bd683506c5 | [] | no_license | joehendrix/lean-containers | afec24c7de19c935774738ff3a0415362894956c | ef6ff0533eada75f18922039f8312badf12e6124 | refs/heads/master | 1,624,853,911,199 | 1,505,890,599,000 | 1,505,890,599,000 | 103,489,962 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 543 | lean | /- Additional theroems for option. -/
namespace option
theorem failure_is_none (α : Type _) : (failure : option α) = none := rfl
theorem coe_is_some {α : Type _} (x:α) : (coe x : option α) = some x := rfl
theorem or_else_none {α : Type _} (x : option α) : (x <|> none) = x :=
begin
cases x; trivial,
end
theorem no... |
a89f8753a291d3a71f3711da8daa161809cf2ae0 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/nat/cast/basic.lean | adee13377c6d0bae31ed1e5255110d816068a21d | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 9,691 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.char_zero.defs
import algebra.group_with_zero.commute
import algebra.hom.ring
import algebra.order.group.abs
import algebra.ring.commute
import data.na... |
89f6b7bbb8cabf9cba1bd19d430a80298f105286 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/multiset/fold.lean | bf1ca0366fe5d2cbf62bb0c398e60e4f61afbfdd | [
"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 | 3,767 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.multiset.erase_dup
/-!
# The fold operation for a commutative associative operation over a multiset.
-/
namespace multiset
variables {α β : Type*}
/-! #... |
0976fccd26722a146dea61eee2b0fdb8fe85a52a | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/ring_theory/integral_closure.lean | 2ae462db1a8f936a4efc5e25bb3da98b570b7f2a | [
"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 | 33,093 | 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 ring_theory.adjoin.fg
import ring_theory.polynomial.scale_roots
import ring_theory.polynomial.tower
/-!
# Integral closure of a subring.
If A is an R-algebra then `a :... |
22773d549b7a868dab11ca3ee71267f87ae03460 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/homeomorph_auto.lean | b0d674e53baeb810b16040fcb5e82677e3536a08 | [] | 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 | 17,597 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.dense_embedding
import... |
2623e5fe6d7e4e308eca0113c0befbf7001417e7 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/tactic/lint/frontend.lean | 4e928aad7c338f1576d85cacb687bf6dfcf8f2e1 | [
"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 | 13,857 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis, Gabriel Ebner
-/
import tactic.lint.basic
/-!
# Linter frontend and commands
This file defines the linter commands which spot common mistakes in ... |
99f6d492dbd2d6330008eed35d8499a2366f3366 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/lint/misc.lean | 172dba10b4bd738b4079c582c779c873cb6513fe | [
"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 | 12,375 | lean | /-
Copyright (c) 2020 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis
-/
import tactic.lint.basic
/-!
# Various linters
This file defines several small linters:
- `ge_or_gt` checks that `>` and `≥` do not occur in ... |
a1ed17cf5b2f9a7c1c7145b3169d2ec5545b0737 | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /library/init/category/functor.lean | 2a7e2a75a5c76e5c0884c1fc6015b5593147f1f1 | [
"Apache-2.0"
] | permissive | pcmoritz/lean | 6a8575115a724af933678d829b4f791a0cb55beb | 35eba0107e4cc8a52778259bb5392300267bfc29 | refs/heads/master | 1,607,896,326,092 | 1,490,752,175,000 | 1,490,752,175,000 | 86,612,290 | 0 | 0 | null | 1,490,809,641,000 | 1,490,809,641,000 | null | UTF-8 | Lean | false | false | 1,256 | lean | /-
Copyright (c) Luke Nelson and Jared Roesch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Luke Nelson, Jared Roesch, Sebastian Ullrich
-/
prelude
import init.core init.function init.meta.name
open function
universes u v
section
set_option auto_param.check_exists f... |
a6ca9950d0e0f91ba0b7beb1fd77e8154afd3c56 | 9ad8d18fbe5f120c22b5e035bc240f711d2cbd7e | /src/data/nat/square_free.lean | be74f25b2fda29348a82c99f6f6fd659e2353483 | [] | no_license | agusakov/lean_lib | c0e9cc29fc7d2518004e224376adeb5e69b5cc1a | f88d162da2f990b87c4d34f5f46bbca2bbc5948e | refs/heads/master | 1,642,141,461,087 | 1,557,395,798,000 | 1,557,395,798,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,653 | lean | import data.nat.prime data.multiset
import data.list_extra data.multiset_extra
namespace nat
lemma list.coprime_prod {n : ℕ} {l : list ℕ} (h : list.all_prop (coprime n) l) :
coprime n l.prod :=
begin
induction l with m l ih,
{rw[list.prod_nil],exact coprime_one_right n},
{rw[list.all_prop] at h,rw[list.prod_con... |
259060e9acc5a77880230bb76e1c9e8f8be0d941 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /counterexamples/homogeneous_prime_not_prime.lean | 9532317504c1c8f898dde5e6a501340d86d2fab4 | [
"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 | 5,645 | lean | /-
Copyright (c) 2022 Jujian Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Eric Wieser, Jujian Zhang
-/
import ring_theory.graded_algebra.homogeneous_ideal
import data.zmod.basic
import tactic.derive_fintype
/-!
# A homogeneous prime that is ho... |
e44ef9b563a27302d1db2034fca05c428ab251f1 | cc104245380aa3287223e0e350a8319e583aba37 | /src/h1.lean | 328a23be2b34218cc24320a2ce469138753382ad | [] | no_license | anca797/group-cohomology | 7d10749d28430d30698e7ec0cc33adbac97fe5e7 | f896dfa5057bd70c6fbb09ee6fdc26a7ffab5e5d | refs/heads/master | 1,591,037,800,699 | 1,561,424,571,000 | 1,561,424,571,000 | 190,891,710 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,655 | lean | import h0
import group_theory.quotient_group
theorem function.lift_aux {X : Type*} {Y : Type*} {Z : Type*} (f : X → Y)
(i : Z → Y) (h2 : set.range f ⊆ set.range i) (x : X) : ∃ z : Z, i z = f x :=
begin
show f x ∈ set.range i,
apply h2,
use x,
end
noncomputable def function.lift {X : Type*} {Y : Type*} {Z : Type*} (f... |
28a993ba8beaf7c15b013c85dda6b58762e4e0e0 | f57749ca63d6416f807b770f67559503fdb21001 | /library/data/nat/bigops.lean | 58e90b2345b412d9cc5450111e74780c5f61e9bd | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,066 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Finite products and sums on the natural numbers.
-/
import data.nat.basic data.nat.order algebra.group_bigops
open list finset
namespace nat
open [classes] algebr... |
f64e6e91ebf6ab2115c162cf98dc178fe63c7d64 | 67190c9aacc0cac64fb4463d93e84c696a5be896 | /Lists of exercises/List 3/capitulo-05-LucasDomingues.lean | f76ae8f6ef1fd13acad379c071c2926d001a2d54 | [] | no_license | lucasresck/Discrete-Mathematics | ffbaf55943e7ce2c7bc50cef7e3ef66a0212f738 | 0a08081c5f393e5765259d3f1253c3a6dd043dac | refs/heads/master | 1,596,627,857,734 | 1,573,411,500,000 | 1,573,411,500,000 | 212,489,764 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,564 | lean | variables A B C D E F P Q R: Prop
open classical
theorem exercise_1 (h1 : ¬ A → false) (h2 : A ∨ ¬ A) : A :=
or.elim h2
(assume h3 : A, h3)
(assume h4 : ¬ A,
have h5 : false, from h1 h4,
show A, from false.elim h5)
theorem exercise_2 (h1 : ¬ A ∨ ¬ B) : ¬ (A ∧ B) :=
assume h2 : A ∧ B,
have h3 : ... |
19be5a958f6f4787ae2295da0321eee3d957fcda | 2cf781335f4a6706b7452ab07ce323201e2e101f | /lean/deps/sexpr/src/galois/char_reader.lean | 44638e94bb2aaadf092db87d80a95c8b029a3603 | [
"Apache-2.0"
] | permissive | simonjwinwood/reopt-vcg | 697cdd5e68366b5aa3298845eebc34fc97ccfbe2 | 6aca24e759bff4f2230bb58270bac6746c13665e | refs/heads/master | 1,586,353,878,347 | 1,549,667,148,000 | 1,549,667,148,000 | 159,409,828 | 0 | 0 | null | 1,543,358,444,000 | 1,543,358,444,000 | null | UTF-8 | Lean | false | false | 7,733 | lean | /-
This defines an interface for reading characters with one-character lookahead.
-/
import data.buffer
import system.io
import galois.data.list
------------------------------------------------------------------------
-- is_parse_error
class is_parse_error (ε : Type _) :=
(end_of_input {} : ε)
namespace is_parse_err... |
fc6e97dfe42024574f5f47a9895959e514ee0f87 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Util/ForEachExpr.lean | d8902efe403b362bd0eca36ed9dcb52feac1f113 | [
"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 | 1,465 | 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.Expr
import Lean.Util.MonadCache
namespace Lean
/-!
Remark: we cannot use the caching trick used at `FindExpr` and `ReplaceExpr` because they
m... |
50b675d2eba98a179ff647d8d8cc0d86656e5b94 | cc060cf567f81c404a13ee79bf21f2e720fa6db0 | /lean/20170607-eblast-example.lean | 4abf0ee7cd526e588086e0ac0af3cf0e5fcc9cde | [
"Apache-2.0"
] | permissive | semorrison/proof | cf0a8c6957153bdb206fd5d5a762a75958a82bca | 5ee398aa239a379a431190edbb6022b1a0aa2c70 | refs/heads/master | 1,610,414,502,842 | 1,518,696,851,000 | 1,518,696,851,000 | 78,375,937 | 2 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 1,712 | lean | structure Category :=
( Obj : Type )
( Hom : Obj → Obj → Type )
(compose : Π { X Y Z : Obj }, Hom X Y → Hom Y Z → Hom X Z)
(associativity : ∀ { W X Y Z : Obj } (f : Hom W X) (g : Hom X Y) (h : Hom Y Z),
compose (compose f g) h = compose f (compose g h))
attribute [ematch] Category.associativity
structur... |
1c920e78271995b1a4855de17f765b9f9eb272f2 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/group/ulift.lean | 325d4c700945522ee3a6f224ec6b93789bdbc1e2 | [
"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 | 4,405 | 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 data.equiv.mul_add
/-!
# `ulift` instances for groups and monoids
This file defines instances for group, monoid, semigroup and related structures on `ulift` ... |
0d56fe9dafc011871bb45e7d8a3aa1308a1a51ea | 271e26e338b0c14544a889c31c30b39c989f2e0f | /tests/bench/qsort.lean | d5c85b119bde2a45d29f9f2194265727e8436481 | [
"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 | 2,403 | lean | abbrev Elem := UInt32
def badRand (seed : Elem) : Elem :=
seed * 1664525 + 1013904223
def mkRandomArray : Nat → Elem → Array Elem → Array Elem
| 0, seed, as => as
| i+1, seed, as => mkRandomArray i (badRand seed) (as.push seed)
partial def checkSortedAux (a : Array Elem) : Nat → IO Unit
| i =>
if i < a.size - 1 ... |
34c75d517aab7f6e0906af7cfc7a2dc7d7baea02 | 57fdc8de88f5ea3bfde4325e6ecd13f93a274ab5 | /set_theory/cofinality.lean | 668bfb6f733349e9865a215deefa9f3d1b43b0fd | [
"Apache-2.0"
] | permissive | louisanu/mathlib | 11f56f2d40dc792bc05ee2f78ea37d73e98ecbfe | 2bd5e2159d20a8f20d04fc4d382e65eea775ed39 | refs/heads/master | 1,617,706,993,439 | 1,523,163,654,000 | 1,523,163,654,000 | 124,519,997 | 0 | 0 | Apache-2.0 | 1,520,588,283,000 | 1,520,588,283,000 | null | UTF-8 | Lean | false | false | 16,762 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Cofinality on ordinals, regular cardinals.
-/
import set_theory.ordinal
noncomputable theory
open function cardinal
local attribute [instance] classical.prop_decidable
... |
463a67d2c202b3929f493cd0974fcb9626d7d382 | 90edd5cdcf93124fe15627f7304069fdce3442dd | /stage0/src/Lean/Aesop/MutAltTree.lean | 9119148cb326de850404df5ae5c59ee056670ddd | [
"Apache-2.0"
] | permissive | JLimperg/lean4-aesop | 8a9d9cd3ee484a8e67fda2dd9822d76708098712 | 5c4b9a3e05c32f69a4357c3047c274f4b94f9c71 | refs/heads/master | 1,689,415,944,104 | 1,627,383,284,000 | 1,627,383,284,000 | 377,536,770 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,201 | lean | /-
Copyright (c) 2021 Jannis Limperg. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jannis Limperg
-/
import Lean.Aesop.Util
universe u
namespace Lean.Aesop
/-! ## Unsafe Construction of `MutAltTree` -/
namespace MutAltTree.Internal
-- Workaround for a compiler ... |
e5d9846ae9dbd636576e90f30f2d117c8e50e5d2 | 406917967313cd8926a5a79666c51fad41d8670f | /lib/Main.lean | ab8794167a6c4bd222c8a850d05aa0adcb931378 | [
"MIT"
] | permissive | hargoniX/lean4-statvfs | a3c15f51e2714f9fd5a77725fc618831838b46ae | 458370ad201d2c2820189a474fd8701ff7a940c5 | refs/heads/main | 1,693,550,798,436 | 1,634,894,543,000 | 1,634,894,543,000 | 417,835,011 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 565 | lean | /-
Copyright (c) 2021 Henrik Böving. All rights reserved.
Released under MIT license as described in the file LICENSE.
Authors: Henrik Böving
-/
import Statvfs
open System
def main (args : List String) : IO UInt32 := do
if h : args = [] then
IO.println "Missing argument: path"
return 1
else
let ... |
f02e654d234a2520dc915a28b267db32e42a6097 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/def16.lean | ff03909d5696308cbc22b6a238db20c251edefdb | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 282 | lean | new_frontend
def half : Nat → Nat
| 0 => 0
| 1 => 0
| (x+2) => half x + 1
theorem half0 : half 0 = 0 :=
rfl
theorem half1 : half 1 = 0 :=
rfl
theorem half_succ_succ (a : Nat) : half (a + 2) = half a + 1 :=
rfl
example : half 5 = 2 :=
rfl
example : half 8 = 4 :=
rfl
|
25d0047386e2b20292d76049d415a87e86105953 | 1cc8cf59a317bf12d71a5a8ed03bfc1948c66f10 | /src/problem_sheets/sheet_1/sht01Q01.lean | 54499f4c182822d132ad1789158d786be8c28ae4 | [
"Apache-2.0"
] | permissive | kckennylau/M1P1-lean | 1e4fabf513539669f86a439af6844aa078c239ad | c92e524f3e4e7aec5dc09e05fb8923cc9720dd34 | refs/heads/master | 1,587,503,976,663 | 1,549,715,955,000 | 1,549,715,955,000 | 169,875,735 | 1 | 0 | Apache-2.0 | 1,549,722,917,000 | 1,549,722,917,000 | null | UTF-8 | Lean | false | false | 3,094 | lean | -- This import gives us a working copy of the real numbers ℝ,
-- and functions such as abs : ℝ → ℝ
import data.real.basic
-- This next import gives us several tactics of use to mathematicians:
-- (1) norm_num [to prove basic facts about reals like 2+2 = 4]
-- (2) ring [to prove basic algebra identities like (a+b)^2 =... |
4d256d11dd129f538d8be27fa86a1d6ab5ce4aab | 5c7fe6c4a9d4079b5457ffa5f061797d42a1cd65 | /src/exercises/src_04_theorems.lean | aa88559d3de4514c1a4db6bdd7595808c4cee516 | [] | no_license | gihanmarasingha/mth1001_tutorial | 8e0817feeb96e7c1bb3bac49b63e3c9a3a329061 | bb277eebd5013766e1418365b91416b406275130 | refs/heads/master | 1,675,008,746,310 | 1,607,993,443,000 | 1,607,993,443,000 | 321,511,270 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,642 | lean | variables p q r : Prop
namespace mth1001
section theorems
-- Exercise 028:
/-
A theorem is a mechanism for naming a result. By _applying_ a theorem, we can produce new results.
Here is a theorem with its proof left as an exercise.
-/
theorem and_of_and : p ∧ q → q ∧ p :=
begin
sorry
end
/-
The _type_ of any ex... |
9c7cfcfd6bf11fbb317c0fc62b18378ed9dedd3c | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/data/finset/fold.lean | 791971ddb90f2a8208529b7e2f1d4b5bcd78defc | [
"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 | 5,786 | 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.finset.basic
import data.multiset.fold
/-!
# The fold operation for a commutative associative operation over a finset.
-/
namespace finset
open multiset... |
4699c2175b4e06c9f8f8aced67ccec56bf72301e | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/topology/homeomorph.lean | 8c77e3ca042cd6ffc90b80cd455bd7ae5773e03c | [
"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 | 6,513 | 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.subset_properties topology.dense_embedding
open set
variables {α : Type*} {β : Type*} {γ... |
157ee6e12bdd1088f9c6751f0d84a68ccf4d5eab | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/affine_space/affine_subspace.lean | 5436e5aea11d33f093183f367ddb0e872ed43121 | [
"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 | 51,795 | 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.affine_equiv
import linear_algebra.tensor_product
import data.set.intervals.unordered_interval
/-!
# Affine spaces
This file defines ... |
31fa169ae532733ffc54c21d1b4f04967499ce83 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean4/deps/smtlib/src/SMTLIB/Syntax.lean | 8dd96c9b4478cbd06288a09a8ff0a4edb7c6bf4c | [] | no_license | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 31,645 | lean | -- Following the SMTLIB reference v2.6
import Galois.Init.Nat
import Galois.Data.List
import Galois.Data.SExp
import SMTLIB.IdGen
abbrev SExpr := WellFormedSExp.SExp String
namespace SExpr
open WellFormedSExp
open WellFormedSExp.SExp
class HasToSExpr (a : Type) := (toSExpr : a -> SExpr)
open HasToSExpr
instance... |
2ec309a8acfba704b7ae833b154ab9254b722c93 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/restate_axiom.lean | cc933bb41b5a4d5886d91a538c56e69f965e22bf | [
"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 | 3,223 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import data.buffer.parser tactic.doc_commands
open lean.parser tactic interactive parser
/--
`restate_axiom` takes a structure field, and makes a new, definitional... |
3088ee5a34acd53013302072f6cfc67439a3c215 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /set_theory/zfc.lean | c7e9193771b31611054290e2f903a823d228d276 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 29,849 | lean | import data.set.basic
universes u v
/-- The type of `n`-ary functions `α → α → ... → α`. -/
def arity (α : Type u) : nat → Type u
| 0 := α
| (n+1) := α → arity n
/-- The type of pre-sets in universe `u`. A pre-set
is a family of pre-sets indexed by a type in `Type u`.
The ZFC universe is defined as a quotien... |
6cf8c1783e4e1a2b5ca78c4a22f978a864775d20 | e151e9053bfd6d71740066474fc500a087837323 | /src/hott/function.lean | 0bb359e982c0ae6c26686e6deefeba0b456071dd | [
"Apache-2.0"
] | permissive | daniel-carranza/hott3 | 15bac2d90589dbb952ef15e74b2837722491963d | 913811e8a1371d3a5751d7d32ff9dec8aa6815d9 | refs/heads/master | 1,610,091,349,670 | 1,596,222,336,000 | 1,596,222,336,000 | 241,957,822 | 0 | 0 | Apache-2.0 | 1,582,222,839,000 | 1,582,222,838,000 | null | UTF-8 | Lean | false | false | 14,843 | lean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about embeddings and surjections
-/
import .hit.trunc .types.equiv .cubical.square .types.nat.hott
universes u v w
hott_theory
namespac... |
03a3a50295779456793a9b3a5a5be007e4384814 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /tests/lean/private_structure.lean | bfcd2087b3483ea3eefc6d18607fd2f50b452b3e | [
"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 | 533 | lean | namespace foo
private structure point :=
(x : nat) (y : nat)
definition bla := point
definition mk : bla := point.mk 10 10
#check bla
#check point
#check point.mk
#check point.rec
#check point.rec_on
#check point.cases_on
#check point.x
#check point.y
end foo
open foo
-- point is not visible anymore
#check bla
#ch... |
414dbba9c4c125c1ab12787ced717e1b2ac217da | 7c92a46ce39266c13607ecdef7f228688f237182 | /src/Spa/localization_Huber.lean | 70e917ac8bff5a37414b3eb6675f73a4f5c0999d | [
"Apache-2.0"
] | permissive | asym57/lean-perfectoid-spaces | 3217d01f6ddc0d13e9fb68651749469750420767 | 359187b429f254a946218af4411d45f08705c83e | refs/heads/master | 1,609,457,937,251 | 1,577,542,616,000 | 1,577,542,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,239 | lean | import Huber_ring.localization
import Spa.rational_open_data
/-!
# Extending continuous valuations on Huber rings
In this file, we extend continuous valuations on Huber rings R
to rational localizations R(T/s) and their completions.
This is an important step in the definition of the structure presheaf on the adic sp... |
b7e31eecbbbd8088dad1cdb6ab38fb1f4f68e490 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/parray1.lean | e31abef640bdf01c21c61b708457fa00769dd881 | [
"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 | 360 | lean | import Lean.Data.PersistentArray
def check [BEq α] (as : List α) : Bool :=
as.toPArray'.foldr (.::.) [] == as
def tst1 : IO Unit := do
assert! check [1, 2, 3]
assert! check ([] : List Nat)
assert! check (List.iota 17)
assert! check (List.iota 533)
assert! check (List.iota 1000)
assert! check (List.iota ... |
958ee70ff37db3690172a87ce0af40b30e6423d2 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/1442.lean | e23576db6dc8c73d5ecd244e6557b7974a7b3d52 | [
"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 | 692 | lean | protected def rel : ℤ × ℤ → ℤ × ℤ → Prop
| ⟨n₁, d₁⟩ ⟨n₂, d₂⟩ := n₁ * d₂ = n₂ * d₁
private def mul' : ℤ × ℤ → ℤ × ℤ → ℤ × ℤ
| ⟨n₁, d₁⟩ ⟨n₂, d₂⟩ := ⟨n₁ * n₂, d₁ * d₂⟩
instance a : is_associative ℤ (*) := ⟨int.mul_assoc⟩
instance c : is_commutative ℤ (*) := ⟨int.mul_comm⟩
example : ∀(a b c d : ℤ × ℤ), rel a c → rel b ... |
a927bc73a9b55745b8fda75a34f9e2a3119c80c1 | c7e0fa0422da099d4b66b195c60455d87facee0d | /complex.lean | 2e71bcb2c534552e1dc71d06005f863338ca21b0 | [] | no_license | viljamivirolainen/linear | 12d725a90a44ae2760f59e9a9d9dd12aae36300a | dcf28df05e06da1b4fc76bce61b8fa0741300dc8 | refs/heads/master | 1,678,895,327,362 | 1,516,045,398,000 | 1,516,045,398,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 201 | lean | import smt.arith
def complex := real × real
notation `ℂ` := complex
-- Oh god, it's noncomputable, HELP
noncomputable def add : ℂ → ℂ → ℂ
| ⟨a, b⟩ ⟨c, d⟩ := ⟨a + c, b + d⟩
|
bd510032f7374276e87320b605240219b0f33174 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/auto_quote_error.lean | ea2c2851cdae4f0b91a842aa3decf47f64963284 | [
"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 | 120 | lean | example (a b c : nat) : a = b → b = c → c = a :=
begin
intro h1,
intro h2,
exact eq.symm (eq.trans h1 _),
end
|
25e738c3ca18e7058b8df913fa174f881f7a8c41 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/data/nat/cast.lean | 17c0199b286ec06533a1af53e7924f875b3f219c | [
"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 | 9,081 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.nat.basic
import data.nat.cast.defs
import algebra.group.pi
import tactic.pi_instances
import data.sum.basic
/-!
# Cast of natural numbers (additional th... |
119ba6b60d673c011ac8e5d98321fe117c31712c | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/algebra/category/functor/attributes.hlean | a97ba8b275682fbe9f18e4d9ad7a03d1c286d10b | [
"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 | 6,516 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Attributes of functors (full, faithful, split essentially surjective, ...)
Adjoint functors, isomorphisms and equivalences have their own file
-/
import ..constru... |
40524c0c0fe6cb2c90cf5012be2e4251d3dec017 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/algebra/group/to_additive.lean | ec32d4058e2b70912534fff8c05913786c3ffeda | [
"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 | 9,872 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Yury Kudryashov.
-/
import tactic.basic tactic.transport tactic.algebra
/-!
# Transport multiplicative to additive
This file defines an attribute `to_additive` that ... |
105b8b38421b294229502746679f32d6ea022932 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Util/MonadCache.lean | 8b507d0837f42855b62b9744c32d6d84ce12a490 | [
"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 | 4,654 | 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 Std.Data.HashMap
namespace Lean
/-- Interface for caching results. -/
class MonadCache (α β : Type) (m : Type → Type) where
findCached? : α → m (... |
83f2a9d028528d5d3bcf1d1a4a5190f87135deb9 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/lean/run/evalBuiltinInit.lean | 8345727f82d2c62d7ab8d167cafcb74c3d57093d | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 198 | lean | #lang lean4
import Lean
-- option should be ignored when evaluating a `[builtinInit]` decl
set_option interpreter.prefer_native false
#eval toString Lean.PrettyPrinter.formatterAttribute.defn.name
|
0de9176346f5461b427161608ab6bd0027a06237 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/rw_set4.lean | c4e8004b680cf43b98ab503c90e71c4da1156bef | [
"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 | 382 | lean | open tactic
attribute [congr, priority std.priority.default+1]
theorem forall_congr_prop_eq {P₁ P₂ Q₁ Q₂ : Prop} :
P₁ = P₂ → (P₂ → Q₁ = Q₂) → (P₁ → Q₁) = (P₂ → Q₂) :=
sorry
print [congr] congr
example (A : Type) (a b c : A) : (a = b) → (a = c) → a = b := by simp
example (A : Type) (a b c : A) : (a = c) → (a = b) →... |
cf84e1472b244570088f2cb299a7e261802389ec | e2fc96178628c7451e998a0db2b73877d0648be5 | /src/classes/context_free/closure_properties/complement.lean | befec207d9e54c5905b2b948908d3d5a907b032e | [
"BSD-2-Clause"
] | permissive | madvorak/grammars | cd324ae19b28f7b8be9c3ad010ef7bf0fabe5df2 | 1447343a45fcb7821070f1e20b57288d437323a6 | refs/heads/main | 1,692,383,644,884 | 1,692,032,429,000 | 1,692,032,429,000 | 453,948,141 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 701 | lean | import classes.context_free.closure_properties.union
import classes.context_free.closure_properties.intersection
/-- The class of context-free languages isn't closed under complement. -/
theorem nnyCF_of_complement_CF : ¬ (∀ T : Type, ∀ L : language T,
is_CF L → is_CF (Lᶜ)
) :=
begin
intro h,
have nny := nn... |
224a0d9e90df6d781999abe0128085f8a9e1308f | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/direct_sum/ring.lean | 4b6fafa5e3d4dee5f8eb0b71e16125c4b76e5475 | [
"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 | 19,158 | 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 group_theory.subgroup.basic
import algebra.graded_monoid
import algebra.direct_sum.basic
import algebra.big_operators.pi
/-!
# Additively-graded multiplicative stru... |
2bab92d575fba7c2b29145ec5a461404ec297e6f | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/typeclass_metas_internal_goals3.lean | 8bb076e0bd29574b0f8e4a77e208a0d4a08f974e | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 604 | lean | new_frontend
class Base (α : Type) := (u:Unit)
class Depends (α : Type) [Base α] := (u:Unit)
class Top := (u:Unit)
instance AllBase {α : Type} : Base α := {u:=()}
instance DependsNotConstrainingImplicit {α : Type} /- [Base α] -/ {_:Base α} : Depends α := {u:=()}
instance BaseAsImplicit₁ {α : Type} {_:Base α} [Depend... |
fdc6666a3f1055b4a85f1fdac33d75e2a6f300fa | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/opt1.lean | c036a552231b44e6c2c4587fd30ab0b81c024b7f | [
"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 | 442 | lean | vm_eval options.get_string options.mk `opt1 "<empty>"
vm_eval options.get_string (options.set_string options.mk `opt1 "val1") `opt1 "<empty>"
vm_eval if (options.mk = options.mk) then bool.tt else bool.ff
vm_eval if (options.mk = (options.set_string options.mk `opt1 "val1")) then bool.tt else bool.ff
vm_eval options.ge... |
86594cc7c4aeb9ee17b26e788251e6790e9556f5 | e39f04f6ff425fe3b3f5e26a8998b817d1dba80f | /data/finsupp.lean | acbb17bdf9a880b59b562488ec98a0e63d3c6a36 | [
"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 | 40,465 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Type of functions with finite support.
Functions with finite support provide the basis for the following concrete instances:
* ℕ →₀ α: Polynomials (where α is a ring... |
a6402838f9cb53c773ac700ca83d576a261e43e3 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/sheaves/sheaf_of_functions.lean | c4608b98ca1924267fffc964bf811053eecbc9c3 | [
"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 | 3,942 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Scott Morrison
-/
import topology.sheaves.presheaf_of_functions
import topology.sheaves.sheaf_condition.unique_gluing
/-!
# Sheaf conditions for presheaves of (continu... |
c5b1a63774c9783df34478d9067e1a809fa64e17 | b82c5bb4c3b618c23ba67764bc3e93f4999a1a39 | /src/formal_ml/radon_nikodym.lean | ad898b36924e262849d043496b20a900c8bf2ba6 | [
"Apache-2.0"
] | permissive | nouretienne/formal-ml | 83c4261016955bf9bcb55bd32b4f2621b44163e0 | 40b6da3b6e875f47412d50c7cd97936cb5091a2b | refs/heads/master | 1,671,216,448,724 | 1,600,472,285,000 | 1,600,472,285,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 83,315 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
e03992efd45355f49b7010333a23585cbfbf6f16 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /library/data/nat/basic.lean | aa9db5fedc0df7fe1701ba98df1d9af1f644c1ea | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 7,828 | 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
Basic operations on the natural numbers.
-/
import ..num algebra.ring
open binary eq.ops
namespace nat
/- a variant of add, defi... |
b6d61417461e8150785f26a61b41bf9ec40041c4 | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Binary/TranslateExpr.lean | b967c6e38a3c8cfb8bb23464fb60ec2d7b8bcc10 | [
"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 | 5,498 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
Lean3 uses snake_case for everything.
As of now, Lean4 uses:
- camelCase for defs
- PascalCase for types
- snake_case for proofs
-/
import Lean
import Mathport.U... |
90f868c47892680f57ff7c1e2988588b2e0600b8 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Lean/Data/Json/Basic.lean | 6d61cf165806efc2926a6acfa5002182cf5c0ae5 | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,079 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Marc Huisinga
-/
import Std.Data.RBTree
namespace Lean
-- mantissa * 10^-exponent
structure JsonNumber where
mantissa : Int
exponent : Nat
deriving DecidableEq
n... |
722442372d36e9d891e2c05713fc55116df180ff | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/bad_structures2.lean | 66d3f4b99750c61e63dd0c0cd743ab6f7a13f1b9 | [
"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 | 407 | lean | structure foo :=
(x : bool)
structure boo :=
(x : nat)
structure bla extends foo, boo
structure boo2 :=
{x : bool}
structure bla extends foo, boo2
structure bla extends foo :=
(x : nat)
structure bla extends foo :=
( : nat)
structure bla extends foo :=
mk :: y z : nat
structure bla2 extends nat
structure bla2 ... |
29b983ee268ba5c3df8d656778945a4dfc51cd9d | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/algebra/group_power.lean | 77cd9a6a970940a96e380c68d43e5103f5672e88 | [
"Apache-2.0"
] | permissive | dan-c-k/mathlib | 08efec79bd7481ee6da9cc44c24a653bff4fbe0d | 96efc220f6225bc7a5ed8349900391a33a38cc56 | refs/heads/master | 1,658,082,847,093 | 1,589,013,201,000 | 1,589,013,201,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 29,577 | lean | /-
Copyright (c) 2015 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis
-/
import data.int.basic
import data.equiv.basic
/-!
# Power operations on monoids and groups
The power operation on monoids and groups.
We separate thi... |
05892f12c425956429d26631b7f827bb532a0828 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/600c.lean | fc503a7ed77dc4dd2d095ca2238df7fa218b1d0f | [
"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 | 95 | lean | /- /- -/ -/
/- - /--/-/
/-/-/--/-/-/
/--/
/------------/
/---/
/- ---/
/-
-/
----/
print "ok"
|
e2ab7459a5429b5e4c234ac9ba474ae788797311 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/elseCaseArrow.lean | c3c4358109b7b94d8a218b8e5264e6a4a065b7e0 | [
"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 | 241 | lean | def f1 (x : Nat) (p : Nat × Nat) : IO Unit := do
match x with
| 0 => let (y, _) ← pure p
| _ => pure ()
def f2 (x : Nat) (p : Nat × Nat) : IO Unit := do
let mut y := 0
match x with
| 0 => (y, _) ← pure p
| _ => pure ()
|
9cf18e7e51bee90148f788cdcb36c74cd9572904 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/linear_recurrence.lean | 929df10a668307057c37bdcb50ffaf7a524e2068 | [
"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 | 8,243 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import data.polynomial.ring_division
import linear_algebra.dimension
import algebra.polynomial.big_operators
/-!
# Linear recurrence
Informally, a "linear recur... |
13db253220e9c2dfebf53b85cfe7bc49c519a85b | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/1952.lean | e21dcaff4cb18358f064943cbd9ecbd87bf57f2c | [
"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 | 431 | lean | structure foo :=
(fn : nat → nat)
(fn_ax : ∀ a : nat, fn a = a)
/-
set_option pp.all true
set_option pp.universes false -- universes are probably irrelevant
set_option pp.purify_metavars false
set_option trace.type_context.is_def_eq true
set_option trace.type_context.is_def_eq_detail true
-/
def bl... |
7a8040c8af94a300d9c65b8b5f478cd47a310441 | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/analysis/calculus/deriv.lean | 4bbf6b4bc0f7625edf41138b58542e8db7fa566d | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 71,914 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sébastien Gouëzel
-/
import analysis.calculus.fderiv
import data.polynomial.derivative
/-!
# One-dimensional derivatives
This file defines the derivative of a function... |
4c999378713e65c53147b7c98e49f41d38b6fe03 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/lie/non_unital_non_assoc_algebra.lean | 3d6397abd99385c02de35ee623095e340033e905 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 3,774 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.hom.non_unital_alg
import algebra.lie.basic
/-!
# Lie algebras as non-unital, non-associative algebras
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any cha... |
de89c585fd2e6191d5b226b5ce5285003c413518 | d1bbf1801b3dcb214451d48214589f511061da63 | /src/data/int/basic.lean | dd997115eef8035a2750b2139caf014fa5d3b791 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 51,444 | 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 data.nat.basic
import algebra.order_functions
open nat
namespace int
instance : inhabited ℤ := ... |
2a3fc88c99aa27e4d68530b0e0dd84d5d74048de | 618003631150032a5676f229d13a079ac875ff77 | /src/ring_theory/ideal_operations.lean | ceea29cd69ef95043d27c547bae1824abdb511aa | [
"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 | 34,496 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
More operations on modules and ideals.
-/
import data.nat.choose
import data.equiv.ring
import ring_theory.algebra_operations
universes u v w x
namespace submodule
variables ... |
f59badb33c287eeb0847b26df7925477970db3a2 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/inner_product_space/gram_schmidt_ortho.lean | a46b0f5b0a442edcdf0994f3cd116416b4f69a20 | [
"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 | 17,560 | lean | /-
Copyright (c) 2022 Jiale Miao. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jiale Miao, Kevin Buzzard, Alexander Bentkamp
-/
import analysis.inner_product_space.pi_L2
import linear_algebra.matrix.block
/-!
# Gram-Schmidt Orthogonalization and Orthonormalization
... |
1938b9c7aa9a727ebf047d68206e135ca0968dac | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/locally_convex/balanced_core_hull.lean | f7c65b6274326abb0fdad4c9ee2bca209e3da9e4 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 9,630 | lean | /-
Copyright (c) 2022 Moritz Doll. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Moritz Doll
-/
import analysis.locally_convex.basic
/-!
# Balanced Core and Balanced Hull
## Main definitions
* `balanced_core`: The largest balanced subset of a set `s`.
* `balanced_h... |
18b3d09ad922ca87f61f93bea97654d578451546 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/ring_theory/algebra.lean | 7dda0a004de8b73a2c4806ded19ddd6c0d9d5a58 | [
"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 | 22,511 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
Algebra over Commutative Ring (under category)
-/
import data.polynomial data.mv_polynomial
import data.complex.basic
import data.matrix.basic
import linear_algebra.tensor_produ... |
a45ab22f5dac357fc257650a61a802aa08558404 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/topology/metric_space/basic.lean | 0b16764981680104ae6642bac0840873c040e72e | [
"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 | 77,270 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
Many definitions and theorems expected on metric spaces are already introduced o... |
2c66fe5f115155aacaff2a03990d4211bdf3c7e8 | fef48cac17c73db8662678da38fd75888db97560 | /src/point6.lean | 06c9e72b6ee5f870c22b72c44ee2fa2b7522b5c0 | [] | no_license | kbuzzard/lean-squares-in-fibonacci | 6c0d924f799d6751e19798bb2530ee602ec7087e | 8cea20e5ce88ab7d17b020932d84d316532a84a8 | refs/heads/master | 1,584,524,504,815 | 1,582,387,156,000 | 1,582,387,156,000 | 134,576,655 | 3 | 1 | null | 1,541,538,497,000 | 1,527,083,406,000 | Lean | UTF-8 | Lean | false | false | 2,068 | lean | import definitions
import point3
-- 2F(m+n) = F(m) L(n) + L(m) F(n)
lemma two_mul_Fib_add (m n : ℤ) : 2 * Fib (m + n) = Fib m * Luc n + Luc m * Fib n :=
by rw [Fib, Fib, Fib, Luc, Luc, gpow_add, units.coe_mul, Zalpha.mul_r, two_mul];
rw [α_Fib, α_Fib, β_Fib, β_Fib];
have Hm := Fib_add_two (m-1);
have Hn ... |
24fb7021ed14a5d8133ea0c2a7bcd2ecf9d878ad | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/ramification_inertia.lean | 91585ce4cc595a12582ad251ce67400e04dcdaf6 | [
"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 | 39,158 | lean | /-
Copyright (c) 2022 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import linear_algebra.free_module.finite.rank
import ring_theory.dedekind_domain.ideal
/-!
# Ramification index and inertia degree
> THIS FILE IS SYNCHRONIZED WITH MATHL... |
d8f20e7cd8062bd1aa2a75773290ebb7123ed757 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/analysis/normed_space/dual.lean | 52d183756304d0ee4ffe9bdb50cfd91bf2edd3e2 | [
"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 | 11,857 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Frédéric Dupuis
-/
import analysis.normed_space.hahn_banach
import analysis.normed_space.inner_product
/-!
# The topological dual of a normed space
In this file we ... |
bdede40321fabe059b5a72da6da5de5abcdd772a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/limits/constructions/over/default.lean | e4085355f2824c00c686844d9d468db9e7ccc221 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 2,799 | 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.limits.connected
import category_theory.limits.constructions.over.products
import category_theory.limits.constructio... |
8b2849c1068f16fc41f302196f052868e971e711 | 7d5ad87afb17e514aee234fcf0a24412eed6384f | /src/independence.lean | c721bba0c40f6721d339dfe7cc031b22764130df | [] | no_license | digama0/flypitch | 764f849eaef59c045dfbeca142a0f827973e70c1 | 2ec14b8da6a3964f09521d17e51f363d255b030f | refs/heads/master | 1,586,980,069,651 | 1,547,078,141,000 | 1,547,078,283,000 | 164,965,135 | 1 | 0 | null | 1,547,082,858,000 | 1,547,082,857,000 | null | UTF-8 | Lean | false | false | 1,925 | lean | import .fol .zfc .completeness
local attribute [instance, priority 0] classical.prop_decidable
open fol
/- Statement of the independence of the continuum hypothesis -/
open zfc
section independence
/- ¬ (T ⊢' f) is implied by ∃ M : Model T, M ⊢ ∼ f -/
lemma unprovable_of_model_negation {L : Language} {T : Theory ... |
d017d591d45ff957b5094ed210f8e7e4091cc3a1 | 97c8e5d8aca4afeebb5b335f26a492c53680efc8 | /ground_zero/theorems/prop.lean | a57ef6dd165f46c2b776fde88c6a137e51e70c0a | [] | no_license | jfrancese/lean | cf32f0d8d5520b6f0e9d3987deb95841c553c53c | 06e7efaecce4093d97fb5ecc75479df2ef1dbbdb | refs/heads/master | 1,587,915,151,351 | 1,551,012,140,000 | 1,551,012,140,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,982 | lean | import ground_zero.HITs.interval ground_zero.HITs.truncation
open ground_zero.structures (prop contr hset prop_is_set)
open ground_zero.types.equiv (transport transport_composition)
open ground_zero.types
namespace ground_zero
namespace theorems.prop
universes u v w
def product_prop {α : Sort u} {β : Sort v}
(h : ... |
0b6bbf0f3207ec1f9f5f55d0084391150048275f | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0206.lean | c16d72d991baca718fe086b23c69867ae142bda4 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 138 | lean | example : ∀ a b c : ℕ, a = b → a = c → c = b :=
begin
intros,
apply eq.trans,
apply eq.symm,
assumption,
assumption
end
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.