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03db9d68190e9eac218febcb0cd0ad4c0c83b160 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebraic_geometry/locally_ringed_space.lean | a41496ec741f5c445a3c5a3d4aa59d75c30900b4 | [] | 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 | 7,415 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebraic_geometry.sheafed_space
import Mathlib.algebra.category.CommRing.limits
import Mat... |
f394e581695aa32b4b2f44e363768be02e2a5b62 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/show_goal.lean | 6480a347a8d96e1b55b50e99f7d1bb3e52112540 | [
"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 | 962 | lean | open tactic
lemma ex1 (a b c : nat) : a + 0 = 0 + a ∧ 0 + b = b ∧ c + b = b + c :=
begin
repeat {any_goals {constructor}},
show c + b = b + c, { apply add_comm },
show a + 0 = 0 + a, { simp },
show 0 + b = b, { rw [zero_add] }
end
/- Same example, but the local context of each goal is different -/
lemma e... |
80ccdeb15ea30a3ec96cb8e8ff0fa1e927a109da | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/finset/sym.lean | 83c74fe19d923bf40fe8857be4a8122c7dfe9e30 | [
"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 | 5,819 | lean | /-
Copyright (c) 2021 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import data.finset.prod
import data.sym.sym2
/-!
# Symmetric powers of a finset
This file defines the symmetric powers of a finset as `finset (sym α n)` and `finset (sy... |
d4d6ba81785cbda7d7364a1c868f558bf91bde91 | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /src/tidy/rewrite_search/engine.lean | 83bd12ffd777244f1832fa64720891e77d413753 | [] | no_license | minchaowu/lean-tidy | 137f5058896e0e81dae84bf8d02b74101d21677a | 2d4c52d66cf07c59f8746e405ba861b4fa0e3835 | refs/heads/master | 1,585,283,406,120 | 1,535,094,033,000 | 1,535,094,033,000 | 145,945,792 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,167 | lean | import data.list
import data.option
import tidy.lib
import tidy.pretty_print
import tidy.rewrite_all
open tactic
namespace tidy.rewrite_search
inductive how
| rewrite (rule_index : ℕ) (side : side) (location : ℕ) : how
| defeq
meta inductive search_result
| success (proof : expr) (steps : list how) : search_result... |
8c1281f620e22e68e650d5f2a15793f4afc474c5 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/multiset/basic.lean | 75171e968cfa86a2b5c928ba297d967855f71c61 | [
"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 | 93,057 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.list.perm
import algebra.group_power
/-!
# Multisets
These are implemented as the quotient of a list by permutations.
## Notation
We define the ... |
ee7130a2542aad009cfe6696518255d1ae1aa74b | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/Elab/ResolveName.lean | e90bf21bee777a5521cc55287e3eee48f7031981 | [
"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 | 5,178 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Lean.Hygiene
import Init.Lean.Modifiers
import Init.Lean.Elab.Alias
namespace Lean
namespace Elab
inductive OpenDec... |
6c6c9929556199f26fc9edc10a0cf7a4cf0208f5 | ca1ad81c8733787aba30f7a8d63f418508e12812 | /clfrags/src/core/consequence_relation.lean | f1508a3404f40763d4e7ca301e645cdab500944e | [] | no_license | greati/hilbert-classical-fragments | 5cdbe07851e979c8a03c621a5efd4d24bbfa333a | 18a21ac6b2e890060eb4ae65752fc0245394d226 | refs/heads/master | 1,591,973,117,184 | 1,573,822,710,000 | 1,573,822,710,000 | 194,334,439 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 894 | lean | import data.set
open set
namespace logic
def reflexivity (R : set Prop → Prop → Prop) :=
∀ α : Prop, R {α} α
def monotonicity (R : set Prop → Prop → Prop) : Prop :=
∀ Γ Δ : set Prop, ∀ α : Prop, Γ ⊆ Δ ∧ R Γ α → R Δ α
def transitivity (R : set Prop → Prop → Prop) : Prop :=
∀ Γ... |
813d4746d981843d26f6b9225f9fade5ac77fe33 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/hom/freiman.lean | 5de585bf795de68b457ba1e0247f758e6385c7e3 | [
"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 | 17,321 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import algebra.big_operators.multiset
import data.fun_like.basic
/-!
# Freiman homomorphisms
In this file, we define Freiman homomorphisms. A `n`-Freiman homomorphism o... |
b3b4e30fff2616a35b5c7e24e44552e760109059 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/order/bounded_lattice.lean | 031650ae4b88e97fd2d4d283ab6f7f489e43cc28 | [
"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 | 29,416 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines bounded lattice type class hierarchy.
Includes the Prop and fun instances.
-/
import order.lattice data.option.basic
tactic.pi_instances
set_option ol... |
562f0635c541530c3dcca222bf0d102517bd020f | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/group_power/lemmas.lean | 1463a418a6d1107eadfcef7035720c50b3518073 | [
"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 | 31,604 | 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 algebra.group_power.basic
import algebra.opposites
import data.list.basic
import data.int.cast
import data.equiv.basic
import data.equiv.mul_add... |
3a2c3b2a90ab0265caa19122b34e4f8e92a4c791 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/equiv/ring.lean | 0c7ff5896bf9e38478d027c0509cd1881dabad70 | [
"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 | 13,427 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Callum Sutton, Yury Kudryashov
-/
import data.equiv.mul_add
import algebra.field
import algebra.opposites
/-!
# (Semi)ring equivs
In this file we define extension of ... |
6e0bc05cafec8fc3c103f7188e462ce8182d2224 | cb1829c15cd3d28210f93507f96dfb1f56ec0128 | /theorem_proving/02-dependent_types_part2.lean | d3eb0d5ac98d707328261883598959b081b068d1 | [] | no_license | williamdemeo/LEAN_wjd | 69f9f76e35092b89e4479a320be2fa3c18aed6fe | 13826c75c06ef435166a26a72e76fe984c15bad7 | refs/heads/master | 1,609,516,630,137 | 1,518,123,893,000 | 1,518,123,893,000 | 97,740,278 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,636 | lean | #print "------------------------------------------------"
#print "Section 2.8 Dependent Types" -- (page 16 in new ed)
/- It is clear that `cons α` should have type
α → list α → list α
But what type should `cons` itself have? A first guess might be
Type → α → list α → list α
But on refl... |
d415cdcd1604ec7905d3f6f467ace19e93878e9a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/special_functions/complex/arg.lean | 59b2e80c434aefbbe207b5e8a2aeda67a425f3c5 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 24,946 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import algebra.order.to_interval_mod
import analysis.special_functions.trigonometric.angle
import analy... |
5571977a5f1680aa5f0385d362b67d518b4f8451 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/linear_algebra/multilinear.lean | f89b3f4956d3af181133c36c07afbbbef8117b0b | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 32,865 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import linear_algebra.basic
import tactic.omega
import data.fintype.card
/-!
# Multilinear maps
We define multilinear maps as maps from `Π(i : ι), M₁ i` to `M... |
2d53ee181a6c8fda4b9a72e171dc94b6c1110258 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/category/CommRing/limits.lean | b2548386764ebfc684580b8b2edf64e7554cf5ac | [
"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 | 14,551 | 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 algebra.ring.pi
import algebra.category.CommRing.basic
import algebra.category.Group.limits
import ring_theory.subring
/-!
# The category of (commutative) rin... |
0bc2455fed7317b84746a6d155652bc343a731ab | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/nat/cast/basic.lean | 1f06d0878e807d5c9351db06a8e5462a7cacde79 | [
"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 | 9,455 | 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... |
e5ef847d5231419f268b8b0199255e626c979083 | 471bedbd023d35c9d078c2f936dd577ace7f5813 | /library/init/meta/mk_has_reflect_instance.lean | 62bda6ae71a4ee405e4346bc9af35eda9481445b | [
"Apache-2.0"
] | permissive | lambdaxymox/lean | e06f0fa503666df827edd9867d7f49ca017aae64 | fc13c8c72a15dab71a2c2b31410c2cadc3526bd7 | refs/heads/master | 1,666,785,407,985 | 1,666,153,673,000 | 1,666,153,673,000 | 310,165,986 | 0 | 0 | Apache-2.0 | 1,604,542,096,000 | 1,604,542,095,000 | null | UTF-8 | Lean | false | false | 3,775 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Helper tactic for constructing a has_reflect instance.
-/
prelude
import init.meta.rec_util
namespace tactic
open expr environment list
/- Retrieve the name... |
c338beac8be39384192ada43dd9b2d066c41cb1c | 42610cc2e5db9c90269470365e6056df0122eaa0 | /library/data/finset/extra_finset.lean | 9ff832eb8ba2b9b0c2a4a19f5807bcf67b214b20 | [
"Apache-2.0"
] | permissive | tomsib2001/lean | 2ab59bfaebd24a62109f800dcf4a7139ebd73858 | eb639a7d53fb40175bea5c8da86b51d14bb91f76 | refs/heads/master | 1,586,128,387,740 | 1,468,968,950,000 | 1,468,968,950,000 | 61,027,234 | 0 | 0 | null | 1,465,813,585,000 | 1,465,813,585,000 | null | UTF-8 | Lean | false | false | 10,571 | lean | import data.fintype.basic data.nat data.list.perm data.finset algebra.binary algebra.ordered_ring
open nat quot subtype binary function eq.ops finset
section set_operations
lemma subset_inter {T : Type} [Hdeceq : decidable_eq T] {A B C : finset T}
(sAB :A ⊆ B) (sAC : A ⊆ C) : A ⊆ B ∩ C :=
begin
apply subset_of_fo... |
7c590947e91acc59f274add79062dd9a70451cf1 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/category_theory/limits/filtered_colimit_commutes_finite_limit.lean | c0694db6dd574f051b6a541fa8dc619c0fb4e124 | [
"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 | 13,459 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.colimit_limit
import category_theory.limits.shapes.finite_limits
/-!
# Filtered colimits commute with finite limits.
We show that for ... |
3e84b7df032fabce1a6eda0732bbeaa2e19d2707 | 8e2026ac8a0660b5a490dfb895599fb445bb77a0 | /library/tools/smt2/builder.lean | 08efc2f95aa6f9d60f00639007121d11c0cc6dae | [
"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 | 1,047 | lean | import .syntax
@[reducible] def smt2.builder (α : Type) := state (list smt2.cmd) α
meta def smt2.builder.to_format {α : Type} (build : smt2.builder α) : format :=
format.join $ list.map to_fmt $ (build []).snd
meta instance (α : Type) : has_to_format (smt2.builder α) :=
⟨ smt2.builder.to_format ⟩
namespace smt2
na... |
4f8e1e4f32a6e3b88177c747763557dbc90c01f1 | 1437b3495ef9020d5413178aa33c0a625f15f15f | /group_theory/coset.lean | 5d67023339fe1134bb35e2dde4e59026c2636882 | [
"Apache-2.0"
] | permissive | jean002/mathlib | c66bbb2d9fdc9c03ae07f869acac7ddbfce67a30 | dc6c38a765799c99c4d9c8d5207d9e6c9e0e2cfd | refs/heads/master | 1,587,027,806,375 | 1,547,306,358,000 | 1,547,306,358,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,403 | 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... |
50863c361293db81c3896673eec2ba5cb958f03b | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/algebra/order.hlean | 1f4dd97ea4c15554c8f30d3fa4afb0462f170af6 | [
"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 | 12,373 | hlean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
Various types of orders. We develop weak orders "≤" and strict orders "<" separately. We also
consider structures with both, where the two are related by
x < y ↔ (x ≤ y... |
3775af828ae8b5fe1a84518c45042d84884ce5e3 | cad9160f67da6c3eecba9bb47aa1acdf5862cd58 | /src/sets.lean | 8e5cddbd47b855353a1eeef6ae0c0bed2cbf6658 | [] | no_license | paraseba/topology-janich | 902a9ecf06aa225215a4cf144bf0d6e0043b6135 | 270f3d2de019c093c86ac967b4ec9a4a2f25a5d3 | refs/heads/master | 1,671,576,401,688 | 1,599,706,090,000 | 1,599,706,090,000 | 291,599,865 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,413 | lean | import tactic.basic
import data.set.basic
namespace set
variables {α : Type*} {β : Type*}
lemma union_of_sub (s: set α) (f : α → set α) (hf : ∀ x ∈ s, x ∈ f x ∧ f x ⊆ s) :
s = ⋃₀ (f '' s) :=
begin
ext,
split,
simp at *,
{
intros xs,
exact ⟨ x, xs, (hf x xs).1 ⟩
},
{
... |
365ccf882060f9e4e0f1a19f95d66138b3cff807 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/nat/gcd.lean | f9a09e4ae3283ffbfbe113af7820e348e79568e2 | [
"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 | 16,760 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import data.nat.basic
/-!
# Definitions and properties of `gcd`, `lcm`, and `coprime`
-/
namespace nat
/-! ### `gcd` -/
theorem gcd_dvd (m n : ℕ... |
7515608b80404dad909e87048f8d4c8c2b6cc92d | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/constructions/over/products.lean | 75544c3ad3c875d373ccc705a13bd497cdcb7ab1 | [
"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 | 6,150 | 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... |
873873c9dcd630e3533c1c2677cbda7a27aa418d | e514e8b939af519a1d5e9b30a850769d058df4e9 | /examples/knot_isotopy.lean | 1ef6f20882d6e2ad56c279a8e5648c40860a2765 | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 6,383 | lean | import tactic.rewrite_search
inductive slice
| pos : ℕ → slice
| neg : ℕ → slice
| cup : ℕ → slice
| cap : ℕ → slice
open slice
inductive diagram
| nil
| cons : slice → diagram → diagram
infixr ` ~~ `:80 := diagram.cons
notation `t[` l:(foldr `, ` (h t, diagram.cons h t) diagram.nil `]`) := l
namespace isotopy
v... |
732dda19ba4099a0aa5a18b14528c13e06b454d4 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/init/meta/rb_map.lean | b364c9e39184fcc420c4ada5ba313bbb38413bf3 | [
"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 | 4,194 | 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, Jeremy Avigad
-/
prelude
import init.ordering init.meta.name init.meta.format
meta_constant {u₁ u₂} rb_map : Type u₁ → Type u₂ → Type (max u₁ u₂ 1)
namespac... |
311de36c44e623f2c4d474d06f5988617883dda8 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /hott/init/trunc.hlean | 4767025f287d30a061ea66b4a80323ac145a4dd6 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,178 | 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.
-/
--TODO: can we replace some definitions with a hprop as codomain by theorems... |
7974e29f07b607719bcf40b8fdee3c4eec8f60f8 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/probability_mass_function/basic.lean | b5c04e85c793ad0d82544f0b7d1ad16434ac22f9 | [
"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 | 9,236 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Devon Tuma
-/
import topology.instances.ennreal
import measure_theory.measure.measure_space
/-!
# Probability mass functions
This file is about probability mass funct... |
50d91d7013dc23f539040c39f2a700cf1bbd2bd2 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/zzz_junk/has_one/has_one.lean | 1d68ed5e0733d38459549aa9253420f337fe9fb0 | [] | 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 | 481 | lean | import ..has_mul.has_mul
namespace hidden
universe u
/-
@[class]
structure has_one (α : Type u) extends hidden.has_mul α :=
--(mul : α → α → α) --inherited from has_mul
(one: α)
-- preview of what's coming
(one_mul : ∀ (a : α ), mul one a = a)
(mul_one : ∀ (a : α ), mul a one = a )
-- ^^^^^^^^^^^^^^ prop... |
99b7d9897e1ae8ade6501457d78a7283d4007132 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/geometry/manifold/charted_space.lean | 7b26dd9a9f438849113db419d1663a18edf188d7 | [
"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 | 44,742 | 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.local_homeomorph
/-!
# Charted spaces
A smooth manifold is a topological space `M` locally modelled on a euclidean space (or a euclidean
half-... |
1807347e1486a895d70b1058c005d1c7d6071ad3 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/algebra/homology/chain_complex.lean | c5cdffa80c36c38ca78be59f99ace7679d57f5ca | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,130 | 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.int.basic
import category_theory.graded_object
import category_theory.differential_object
/-!
# Chain complexes
We define a chain complex in `V` as a di... |
fc54a75c9f0fb261eae3222cc6a69810c53e75f1 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/finish.lean | 05b643506752d33220a519e44d5c997f0ccfc1c8 | [
"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 | 23,096 | lean | /-
Copyright (c) 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Jesse Michael Han
-/
import tactic.hint
/-!
# The `finish` family of tactics
These tactics do straightforward things: they call the simplifier, split conjunctive assump... |
33a5595dcb598e5829a55e86d77b3f1b07fc9ced | a4673261e60b025e2c8c825dfa4ab9108246c32e | /tests/lean/run/backtrackable_estate.lean | 653dbc3e06fb656dc74dfaead2e9a0100b7d4cf8 | [
"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 | 685 | lean | import Init.System.IO
structure MyState :=
(bs : Nat := 0) -- backtrackable state
(ps : Nat := 0) -- non backtrackable state
instance : Repr MyState :=
⟨fun s => repr (s.bs, s.ps)⟩
instance : EStateM.Backtrackable Nat MyState :=
{ save := fun s => s.bs,
restore := fun s d => { s with bs := d } }
abbrev M := ... |
24ae2c119a7fba3926cecbd191373b3a2573042b | 4da0c8e61fcd6ec3f3be47ee14a038850c03d0c3 | /src/s5/default.lean | 64da6bf266c28144a1ed63bd616b106e4e1cc601 | [
"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 | 161 | lean | /-
Copyright (c) 2018 Bruno Bentzen. All rights reserved.
Released under the Apache License 2.0 (see "License");
Author: Bruno Bentzen
-/
import ..default |
3446c1c286164e591ab6eedc960967a6681a781f | ef4d3feecef33d1c1b4bd3a023b85e6a58f9e708 | /theorem-proving-in-lean/ch3/Exercises.lean | aa0a476bcaa5d15d07ac628397fb41feccf9b6ee | [] | no_license | MikeMKH/kata | 1b7da1b8d2cc115c912f2b06b583a8e675a449e1 | 305b054a37517dbe4d09545d41f024937f536c20 | refs/heads/master | 1,585,594,368,426 | 1,542,835,119,000 | 1,542,835,119,000 | 16,891,298 | 0 | 0 | null | 1,542,835,120,000 | 1,392,575,890,000 | Racket | UTF-8 | Lean | false | false | 2,673 | lean | open classical
variables p q r s : Prop
-- commutativity of ∧ and ∨
example : p ∧ q ↔ q ∧ p :=
iff.intro
(assume hpq : p ∧ q,
show q ∧ p, from and.intro (and.right hpq) (and.left hpq))
(assume hqp : q ∧ p,
show p ∧ q, from and.intro (and.right hqp) (and.left hqp))
example : p ∨ q ↔ q ∨ p :=
iff.... |
a757c169d00c40c8036e3acb80dba5abfbea82ee | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Meta/Tactic/Assert.lean | 953fb1cc502f454075a1bdcc3bfb53bb7b3cc369 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 5,740 | 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.Tactic.FVarSubst
import Lean.Meta.Tactic.Intro
namespace Lean.Meta
/--
Convert the given goal `Ctx |- target` into `Ctx |- type -> targ... |
f06598d19f6b3259bf9fcf098563d566bab45c4b | 87fd6b43d22688237c02b87c30d2a524f53bab24 | /src/game/sets/sets_level07.lean | 953af33c58beca6e6782ac19d6c3596bf7c6a6b3 | [
"Apache-2.0"
] | permissive | grthomson/real-number-game | 66142fedf0987db90f66daed52f9c8b42b70f909 | 8ddc15fdddc241c246653f7bb341df36e4e880a8 | refs/heads/master | 1,668,059,330,605 | 1,592,873,454,000 | 1,592,873,454,000 | 262,025,764 | 0 | 0 | null | 1,588,849,107,000 | 1,588,849,106,000 | null | UTF-8 | Lean | false | false | 724 | lean | import tactic --hide
import game.sets.sets_level06 -- hide
variable X : Type --hide
open_locale classical -- hide
namespace xena -- hide
/-
# Chapter 1 : Sets
## Level 7 : The empty set
-/
/-
The way to handle the empty set is the following:
```
lemma mem_empty_iff (a : X) : a ∈ (∅ : set X) ↔ false
```
-/
/- ... |
294513597b9e21bc38446c7f13ef90b60e4eb6ac | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/algebra/big_operators/basic.lean | f2c3a73e09fff3a33f4a4f5c4fbce87281520fd0 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 59,921 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.finset.fold
import data.equiv.mul_add
import tactic.abel
/-!
# Big operators
In this file we define products and sums indexed by finite sets (specifica... |
b7ad59c4e83710c701fdbd408d21dcb35eb7ed64 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/number_theory/class_number/admissible_card_pow_degree.lean | 6ab5cf95274aee85d3c18621339daf8cfe3792ad | [
"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 | 13,861 | lean | /-
Copyright (c) 2021 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import data.polynomial.degree.card_pow_degree
import field_theory.finite.basic
import number_theory.class_number.admissible_absolute_value
/-!
# Admissible absolute values... |
2e29ce8d56f3a32fca2562c3b1732dd425f09b9e | e030b0259b777fedcdf73dd966f3f1556d392178 | /library/init/meta/vm.lean | 908ab08085b2cd3a9787394577f084e217765e83 | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 6,400 | 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.data.option.basic
meta constant vm_obj : Type
inductive vm_obj_kind
| simple | constructor | closure | native_closure... |
cf690231cc4cba140897319e07dc81d184acb0a9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/exterior_algebra/grading.lean | 0f5089ccbee077f215e433e70b727affb84eced1 | [
"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 | 3,646 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import linear_algebra.exterior_algebra.basic
import ring_theory.graded_algebra.basic
/-!
# Results about the grading structure of the exterior algebra
> THIS FILE IS SYNC... |
c680373f1934dcba413e56ecadb15bb772774488 | 367134ba5a65885e863bdc4507601606690974c1 | /src/data/multiset/pi.lean | 49747b7d9ea08fcccb9b40753493712a3068434b | [
"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 | 4,893 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import data.multiset.nodup
/-!
# The cartesian product of multisets
-/
namespace multiset
section pi
variables {α : Type*}
open function
/-- Given `δ : α → Type*`,... |
6a96938665ffda836432d9354d871f95869e4a29 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/measure_theory/measure/outer_measure.lean | 6a3327d60630dec81d74341747aade2282f55ade | [
"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 | 61,599 | 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 analysis.specific_limits
import measure_theory.pi_system
import data.matrix.notation
import topology.algebra.infinite_sum
/-!
# Outer Measures... |
2af22d2cb498477d91f83722e4a83e4e141242a2 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/adjunction/evaluation.lean | 1bcf4ca7e93ef024c0c56e0146829e7f296674c3 | [
"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 | 4,848 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import category_theory.limits.shapes.products
import category_theory.functor.epi_mono
/-!
# Adjunctions involving evaluation
We show that evaluation of functors have adjo... |
3d9096aa1972705e16661428f7a90164f453f38c | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /counterexamples/canonically_ordered_comm_semiring_two_mul.lean | 034e6148f77d636ea3a6836e163d7d5b368616b6 | [
"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 | 9,496 | lean | /-
Copyright (c) 2021 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.zmod.basic
import ring_theory.subsemiring
import algebra.ordered_monoid
/-!
A `canonically_ordered_comm_semiring` with two different elements `a` and `b` s... |
1b91ef4bbedb891cd0d7f69698a220653d645f22 | eecbdfcd97327701a240f05d64290a19a45d198a | /lib_devel/simplifier.lean | 278f082f3fe3fca4c61af1ac55e79f44997aa2fe | [] | no_license | johoelzl/hanoifabs | d5ca27df51f9bccfb0152f03b480e9e1228a4b14 | 4235c6bc5d664897bbf5dde04e2237e4b20c9170 | refs/heads/master | 1,584,514,375,379 | 1,528,258,129,000 | 1,528,258,129,000 | 134,419,383 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 4,267 | lean | /- Simplifier -/
#check tactic.simplify
#check tactic.interactive.simp
/-
The simplifier is currently the most powerful tactic in Lean (besides definitional equality). Many
problems can be solved by rewriting. But for this it is important to understand the simplifier and
how to organize its rewrite rules.
Basic ide... |
ae7773d0f09c7b7763dbb5047a929156bc1a6007 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/data/list/defs.lean | a6284d0fec801fd3811f130798e0c557a1879fb1 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 34,744 | 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 data.option.defs
import logic.basic
import tactic.cache
/-!
## Definitions on lists
Th... |
e7971677e4a35b3ede1c0b9e2f30e085648b5edc | 2731214ea32f2a1a985300e281fb3117640a16c3 | /portmanteau_integrals.lean | 767b6ef763109d22af39d86e151a20b18b98ac6f | [
"Apache-2.0"
] | permissive | kkytola/lean_portmanteau | 5d6a156db959974ebc4f5bed9118a7a2438a33fa | ac55eb4e24be43032cbc082e2b68d8fb8bd63f22 | refs/heads/main | 1,686,107,117,334 | 1,625,177,052,000 | 1,625,177,052,000 | 381,514,032 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,695 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import tactic
import measure_theory.measurable_space
import measure_theory.integration
import measure_theory.bochner_integration
import measure_theory.borel_space
import... |
4315dfd570ae36b74b3b6133e623ec77b7465049 | efce24474b28579aba3272fdb77177dc2b11d7aa | /src/homotopy_theory/topological_spaces/cylinder.lean | 1833aad90bd8ceacd18ed3f866cd996d0a32833d | [
"Apache-2.0"
] | permissive | rwbarton/lean-homotopy-theory | cff499f24268d60e1c546e7c86c33f58c62888ed | 39e1b4ea1ed1b0eca2f68bc64162dde6a6396dee | refs/heads/lean-3.4.2 | 1,622,711,883,224 | 1,598,550,958,000 | 1,598,550,958,000 | 136,023,667 | 12 | 6 | Apache-2.0 | 1,573,187,573,000 | 1,528,116,262,000 | Lean | UTF-8 | Lean | false | false | 2,524 | lean | import topology.instances.real
import category_theory.adjunction
import tactic.norm_num
import homotopy_theory.formal.cylinder.definitions
import .category
import .exponentiable
noncomputable theory
open category_theory
open homotopy_theory.cylinder
namespace homotopy_theory.topological_spaces
-- TODO: Universes. ... |
db7974b620da5f8741a80f015ebfb6322737f674 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/finset/nat_antidiagonal.lean | b74d438a74abadeeec10d540af3f0f0e6c9036ae | [
"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 | 4,456 | 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 data.finset.card
import data.multiset.nat_antidiagonal
/-!
# Antidiagonals in ℕ × ℕ as finsets
This file defines the antidiagonals of ℕ × ℕ as finsets: the `... |
8d85afb87c79ac485382291fb089c6ebca45ffd8 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_148.lean | 5da766114341cb9a911d201cb10720dd4c716410 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 369 | lean | import data.real.basic
-- BEGIN
lemma my_lemma : ∀ {x y ε : ℝ},
0 < ε → ε ≤ 1 → abs x < ε → abs y < ε → abs (x * y) < ε :=
begin
intros x y ε epos ele1 xlt ylt,
calc
abs (x * y) = abs x * abs y : sorry
... ≤ abs x * ε : sorry
... < 1 * ε : sorry
... = ε ... |
120a70cf0959c70770d4efd1d862b49dd5faa751 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/pi_instances.lean | e721cf8d72ec9a5723d59f602b5d5633e9a03cee | [
"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 | 2,018 | lean | /-
Copyright (c) 2018 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import order.basic
/-!
# `pi_instance`
Automation for creating instances of mathematical structures for pi types
-/
namespace tactic
open tactic.interactive
/-- Attempt ... |
8a540e131c544b067de95e1dbe0a67a1808366c0 | ec5e5a9dbe7f60fa5784d15211d8bf24ada0825c | /src/Parser.lean | d0f644101aa5c971de62f2900c0e48623a367047 | [] | no_license | pnwamk/lean-llvm | fcd9a828e52e80eb197f7d9032b3846f2e09ef74 | ebc3bca9a57a6aef29529d46394f560398fb5c9c | refs/heads/master | 1,668,418,078,706 | 1,593,548,643,000 | 1,593,548,643,000 | 258,617,753 | 0 | 0 | null | 1,587,760,298,000 | 1,587,760,298,000 | null | UTF-8 | Lean | false | false | 3,992 | lean | import Init.Control.Alternative
import Init.Control.Applicative
import Init.Control.Monad
import Init.Data.Char
namespace Nat.
def fromDigitsAux : List Nat → Nat → Nat
| [], n => n
| d::ds, n => fromDigitsAux ds (n*10 + d).
def fromDigits (ds:List Nat) := fromDigitsAux ds 0.
end Nat.
structure parse (α:... |
8d44a1011924f3fb51999027721d6298e0063cbd | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/fin.lean | e31b36b66fea9c8eaadc756f85d0686bc041c786 | [
"Apache-2.0"
] | permissive | abentkamp/mathlib | d9a75d291ec09f4637b0f30cc3880ffb07549ee5 | 5360e476391508e092b5a1e5210bd0ed22dc0755 | refs/heads/master | 1,682,382,954,948 | 1,622,106,077,000 | 1,622,106,077,000 | 149,285,665 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 66,516 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Keeley Hoek
-/
import data.nat.cast
import data.int.basic
import tactic.localized
import tactic.apply_fun
import order.rel_iso
/-!
# The finite type with `n` element... |
77af819efe29916c69391b8133ded40fc904b97b | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Lean/Parser/Transform.lean | d0bf65ae25340739736e02040e20b2eea6fdc898 | [
"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 | 1,561 | 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
-/
import Init.Lean.Parser.Parser
namespace Lean
namespace Syntax
def manyToSepBy (stx : Syntax) (sepTk : String) : Syntax :=
match stx wi... |
245b74146b4ff2c615055f4fbcf58be5e616c722 | 626e312b5c1cb2d88fca108f5933076012633192 | /src/algebra/lie/classical.lean | bdc163b8d04e711931d38b7d328647b5a0baeecd | [
"Apache-2.0"
] | permissive | Bioye97/mathlib | 9db2f9ee54418d29dd06996279ba9dc874fd6beb | 782a20a27ee83b523f801ff34efb1a9557085019 | refs/heads/master | 1,690,305,956,488 | 1,631,067,774,000 | 1,631,067,774,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,140 | lean | /-
Copyright (c) 2020 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.invertible
import algebra.lie.skew_adjoint
import algebra.lie.abelian
import linear_algebra.matrix.trace
/-!
# Classical Lie algebras
This file is the plac... |
0a40e3bb5222a9f8a841cd5ad67f1dbab4a6262e | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/list/antidiagonal.lean | ca6dbf7312c66dd321044a0d9a64fc367b5bad4b | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 1,634 | 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 data.list.range
open list function nat
namespace list
namespace nat
/-- The antidiagonal of a natural number `n` is the list of pairs `(i,j)` such that `i+j... |
47294b4c2b09c68a3e709472fa3bc6a1ea319577 | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/category/Top/basic.lean | 9faaee47056c4b0b9c0cda597710a26a3bbeaf0a | [
"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 | 1,325 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Scott Morrison, Mario Carneiro
-/
import category_theory.concrete_category.unbundled_hom
import topology.opens
open category_theory
open topological_space
universe u
... |
46319f05589b9aa84a15d092aa5b6dfd5b5e0b05 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/match_unit.lean | 1f64d52f862bf9a30791dab07409a1fda680f982 | [
"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 | 56 | lean | theorem ex : ∀ x : Unit, x = () := by
intro (); rfl
|
82a561a9bc5396904b3b56a2b70d8a2bafc5bb2f | ad0c7d243dc1bd563419e2767ed42fb323d7beea | /set_theory/cardinal.lean | 7951e85c49584e1e58795c521b981a09718cd9ea | [
"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 | 30,585 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Mario Carneiro
Cardinal arithmetic.
Cardinals are represented as quotient over equinumerous types.
-/
import data.set.finite data.quot logic.schroeder_bernstein logic... |
7aea08a9edb3330d45fb5cbf770c0f208ba7c517 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/order/category/FinPartOrd.lean | ffa0dab0797f1f30300997653885102e7d5c0f56 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 2,731 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import category_theory.Fintype
import order.category.PartOrd
/-!
# The category of finite partial orders
This defines `FinPartOrd`, the category of finite partial order... |
ee6b2dcf3519273598a2ef16aeae3b3bddb58090 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/data/sigma/thms.lean | 720b700bc02bc35d2fc7486b65d46370f215ab7b | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,424 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura, Jeremy Avigad, Floris van Doorn
import data.sigma.decl
open inhabited eq.ops sigma.ops
namespace sigma
universe variables u v
variables {A A' : Type... |
092c310325e65be948d7d6849c40a779d176f30e | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/category_theory/adjunction/limits.lean | 13e8a14371883cd77a310fb3dc16d873c20601d1 | [
"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 | 7,619 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Johan Commelin
-/
import category_theory.adjunction.basic
import category_theory.limits.preserves
open opposite
namespace category_theory.adjunction
open category_theory
op... |
8345b83824e299ea74dde35dbcec2ffd8c5d7670 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/paracompact.lean | 7d8bd67563e8ea0d79aecdaef511d412e192f850 | [
"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 | 15,310 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Yury Kudryashov
-/
import topology.subset_properties
import topology.separation
import data.option.basic
/-!
# Paracompact topological spaces
A topological space `X` is... |
3f4cc625ef82cf4d6f11a2113bf7fb2ad8db3aee | 934eae675a9d997202bb021816325184e7d694aa | /_notes/Languages/lean/basics.lean | edd16952028f23f71ebc61117add7937384537d1 | [] | no_license | philzook58/philzook58.github.io | da78841df4ffd9a19c81e0eab833983d95a64b70 | 76000a5847bd6ee41dff25937ae916835bbcf03f | refs/heads/master | 1,692,951,958,916 | 1,692,631,945,000 | 1,692,631,945,000 | 91,513,884 | 9 | 4 | null | 1,677,330,791,000 | 1,494,977,989,000 | Jupyter Notebook | UTF-8 | Lean | false | false | 608 | lean | #eval 1 + 1 -- it's a nat
#eval String.append "hello" "world"
#eval if 1 > 2 then "yes" else "no"
#eval (1 + 1 : Int)
/- block comment -/
def hello := "hello"
def Str : Type := String
abbrev N : Type := Nat
#check 1.2
structure Point where
x : Float
y : Float
deriving Repr
#check ({x := 1, y := 2} : Point)
in... |
707eefa2d27656eb5711532dc35b5e9c96320e12 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/calc1.lean | b8a19cee4e9d5b45767fb080f7bd1707b5a5449e | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,651 | lean | prelude constant A : Type.{1}
definition bool : Type.{1} := Type.{0}
constant eq : A → A → bool
infixl ` = `:50 := eq
axiom subst (P : A → bool) (a b : A) (H1 : a = b) (H2 : P a) : P b
axiom eq_trans (a b c : A) (H1 : a = b) (H2 : b = c) : a = c
axiom eq_refl (a : A) : a = a
constant le : A → A → bool
infixl ` ≤ `:50 :... |
e9717780cafa23159a189ecd57b3223f75995190 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/group_theory/group_action/defs.lean | 8c4de95dfd9687b12a6d9832e74ab5fcd50885e7 | [
"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 | 29,165 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Yury Kudryashov
-/
import algebra.group.defs
import algebra.group.hom
import algebra.group.type_tags
import algebra.opposites
import logic.embedding
/-!
# Definitions of g... |
fdf533094d30318d7070a956a5cf7f5f384b9e16 | e514e8b939af519a1d5e9b30a850769d058df4e9 | /src/tactic/rewrite_search/metric/edit_distance/core.lean | 1bac1a16d41325e3050df3e3580aa51a95611858 | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 5,355 | lean | import tactic.rewrite_search.core
import tactic.rewrite_search.module
import data.rat.basic
open tactic.rewrite_search
open tactic.rewrite_search.bound_progress
namespace tactic.rewrite_search.edit_distance
variables {α : Type} [decidable_eq α]
@[derive decidable_eq]
structure ed_partial :=
(prefix_length : dnum... |
679fcf12c240ea4eb6d382bdd822f88bad91bcef | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/match2.lean | 2d8be25158f3410285590cb7b4d1d9197d62c909 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 279 | lean | inductive imf (f : nat → nat) : nat → Type
| mk1 : ∀ (a : nat), imf (f a)
| mk2 : imf (f 0 + 1)
definition inv_2 (f : nat → nat) : ∀ (b : nat), imf f b → {x : nat // x > b} → nat
| .(f a) (imf.mk1 .f a) x := a
| .(f 0 + 1) (imf.mk2 .f) x := subtype.elt_of x
|
ce56f9b237bd86d6c26531670056a9a4cf0894a4 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/field_theory/subfield.lean | 90333bc429b146bdc8d88f42ab0b0f2ae35dfb65 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 4,449 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import ring_theory.subring
variables {F : Type*} [field F] (S : set F)
section prio
set_option default_priority 100 -- see Note [default priority]
class is_sub... |
aa2a1df45767dee77451d94af698a7117278d0f2 | 1dd482be3f611941db7801003235dc84147ec60a | /src/ring_theory/unique_factorization_domain.lean | bb2ec618c2c0995747f0ef9954e5a0e9b64e5e20 | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 19,735 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
Theory of unique factorization domains.
@TODO: setup the complete lattice structure on `factor_set`.
-/
import ring_theory.associated algebra.gcd_domai... |
d107361a771cc197bd4f991a4aade72e7c288db4 | a9fe717b93ccfa4b2e64faeb24f96dfefb390240 | /ee.lean | d58789f8428c4c6ab3587f1e5a38342aee6c2c0f | [] | no_license | skbaek/omega | ab1f4a6daadfc8c855f14c39d9459ab841527141 | 715e384ed14e8eb177a326700066e7c98269e078 | refs/heads/master | 1,588,000,876,352 | 1,552,645,917,000 | 1,552,645,917,000 | 174,442,914 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 13,018 | lean | import .int .clause
def sgm (v : nat → int) (b : int) (as : list int) (n) :=
let a_n : int := as.get n in
let m : int := a_n + 1 in
((symmod b m) + (coeffs.val v (as.map (λ x, symmod x m)))) / m
/- Given a term t such that 0 = t and t = b + a₀ * x₀ + ... aₘ * xₘ,
solve for the nth variable xₙ, obtain equation of... |
64a07b4781b3eb0a4dc014f460101a8509add909 | 947b78d97130d56365ae2ec264df196ce769371a | /stage0/src/Lean/Meta/Tactic/Util.lean | 6b19ceda3771b534e63c3b0d3a647752afe71347 | [
"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 | 2,087 | 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.Meta.Basic
import Lean.Meta.AppBuilder
import Lean.Meta.LevelDefEq
namespace Lean
namespace Meta
/-- Aka user name -/
def getMVarTag (mvarId :... |
7fae3b5e5d06350af346498162fb0b8cfbb8e533 | 75c54c8946bb4203e0aaf196f918424a17b0de99 | /old/language_term_ln2.lean | a52c131f2352d9279c28ab17bdc81565f10c48e6 | [
"Apache-2.0"
] | permissive | urkud/flypitch | 261e2a45f1038130178575406df8aea78255ba77 | 2250f5eda14b6ef9fc3e4e1f4a9ac4005634de5c | refs/heads/master | 1,653,266,469,246 | 1,577,819,679,000 | 1,577,819,679,000 | 259,862,235 | 1 | 0 | Apache-2.0 | 1,588,147,244,000 | 1,588,147,244,000 | null | UTF-8 | Lean | false | false | 16,847 | lean | /-
Another implementation of locally nameless representation, more faithful to Chaugeuraud's specification. Thank you to Floris for the code underlying preterms and preformulas. ---Jesse 2018-10-15T19:59:39
-/
structure Language :=
(relations : Π n : nat, Type) (functions : Π n : nat, Type)
section
parameter L : Lan... |
ead006d74ffed7041cbc87927b8da5efa951af61 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /13_More_Tactics.org.1.lean | 71d65114dfbdf4cbfa27be4ffab1e84fddbca922 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 515 | lean | import standard
import data.nat
open nat
theorem zero_add (x : ℕ) : 0 + x = x :=
begin
induction x with x ih,
{exact rfl},
rewrite [add_succ, ih]
end
theorem succ_add (x y : ℕ) : succ x + y = succ (x + y) :=
begin
induction y with y ih,
{exact rfl},
rewrite [add_succ, ih]
end
theorem add.comm (x y : ℕ) : x + y = y +... |
4d04a911e52f66a6c22cb649f6e30d45497075c6 | 5e42295de7f5bcdf224b94603a8ec29b17c2d367 | /control.lean | fce7aa073324d7b9a50aa6acc4080a1d3e93d3eb | [] | no_license | pnmadelaine/lean_polya | 9369e0d87dce773f91383bb58ac6fde0a00a1a40 | 1c62b0b3fa71044b0225ce28030627d251b08ebc | refs/heads/master | 1,590,161,172,243 | 1,515,010,019,000 | 1,515,010,019,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,968 | lean | import .blackboard .proof_reconstruction .sum_form .prod_form data.hash_map .normalizer3
open polya tactic
meta def expr_to_ineq : expr → tactic (expr × expr × ineq)
| `(%%x ≤ (%%c : ℚ)*%%y) := do c' ← eval_expr rat c, return $ (x, y, ineq.of_comp_and_slope comp.le (slope.some c'))
| `(%%x < (%%c : ℚ)*%%y) := d... |
1f316fbfcbddccd516084e2b4c8894f207ae2640 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/examples/targets/src/c.lean | 7148b3c48f06f7db56e825a25c79fdaf8fe3c225 | [
"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 | 40 | lean | def main : IO PUnit :=
IO.println "c"
|
a04818985247a283d825ea67859a2890665ed6e0 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/apply4.lean | 4e6439af8d6cfbb14ac4a90c34c0cfa3726321ba | [
"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 | 1,081 | lean | open tactic bool
universe variables u
constant foo {A : Type u} [inhabited A] (a b : A) : a = default → a = b
example (a b : nat) : a = 0 → a = b :=
by do
intro `H,
apply (expr.const `foo [level.of_nat 0]),
trace_state,
assumption
definition ex : inhabited (nat × nat × bool) :=
by apply_instance
set_option p... |
72d91cd4f47ecda07ba09105051f17a7914f0a35 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/data/list/defs.lean | 5545a4d90120e9998835ff87e1f95990e40fbaf1 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 17,349 | 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
Extra definitions on lists.
-/
import data.option.defs logic.basic logic.relator
namespace list... |
dcf2ccf4ef65c5cf03d537c21d4767cdf3fee14f | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Init/Core.lean | 7c00722efb9c6a86156a57721097a3b6e2092265 | [
"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 | 34,451 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
notation, basic datatypes and type classes
-/
prelude
import Init.Prelude
import Init.Notation
universes u v w
def inline {α : Sort u} (a : α) : α := a
@[i... |
833574307a13cb7df854946eb9a436f1a2c22d23 | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/linear_algebra/sesquilinear_form.lean | e48724c3387ce6a8c476492818e3ccf386d1979f | [
"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 | 8,616 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Andreas Swerdlow
-/
import algebra.module ring_theory.maps
/-!
# Sesquilinear form
This file defines a bilinear form over a module. The definition requires a ring antiautomorphism
... |
f5e2b593d9d8c0e96071128cc13411b254152065 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/geometry/euclidean/sphere/ptolemy.lean | aa5d6eaa4fec350493a1b51b9eaea53cebe7b855 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 3,420 | lean | /-
Copyright (c) 2021 Manuel Candales. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Manuel Candales, Benjamin Davidson
-/
import geometry.euclidean.sphere.power
import geometry.euclidean.triangle
/-!
# Ptolemy's theorem
This file proves Ptolemy's theorem on the len... |
af7965c075c5df49398af36e5c3675057b07c6ce | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/e15.lean | 3ef931c2f850a685c2fe417eee05bdb1e6e00fc9 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 708 | lean | prelude
inductive nat : Type :=
zero : nat,
succ : nat → nat
namespace nat end nat open nat
inductive list (A : Type) : Type :=
nil {} : list A,
cons : A → list A → list A
namespace list end list open list
check nil
check nil.{1}
check @nil.{1} nat
check @nil nat
check cons zero nil
inductive vector (A : Type) : n... |
d763cb37afa797a622c1aea1417c5dcc9012775a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/polynomial/basic_auto.lean | 6837f1c83e77e227f40dbb7939f39e31cdd97f4a | [] | 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 | 7,946 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.ring_exp
import Mathlib.tactic.chain
imp... |
80dc714fed90c676badce9d1af7cdfa3bd7fde64 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/measure/portmanteau.lean | 634dd2cf2dbff474a6ec471548f4d27df9927916 | [
"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 | 22,733 | lean | /-
Copyright (c) 2021 Kalle Kytölä. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kalle Kytölä
-/
import measure_theory.measure.probability_measure
/-!
# Characterizations of weak convergence of finite measures and probability measures
This file will provide portman... |
6d48e016af3124ef500698a6bb4966a251d34e4e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/measure_theory/group/add_circle.lean | 50e9ffcab8e9cca805900db6ae79ae88fd2605cd | [
"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 | 5,347 | lean | /-
Copyright (c) 2022 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import measure_theory.integral.periodic
import data.zmod.quotient
/-!
# Measure-theoretic results about the additive circle
The file is a place to collect measure-theoret... |
5bb1431a657e036b0175e1639e8fb6d479f64d90 | 761fea1362b10b4c588c2dfc0ae90c70b119e35d | /src/imports.lean | 3af10d035ea920529fd08afcf079266bbeac9b9e | [] | no_license | holtzermann17/mm-lean | 382a29fca5245f97cf488c525ed0c9594917f73b | a9130d71ed448f62df28d4128043b707bad85ccd | refs/heads/master | 1,588,477,413,982 | 1,553,885,046,000 | 1,553,885,046,000 | 178,404,617 | 0 | 0 | null | 1,553,863,829,000 | 1,553,863,828,000 | null | UTF-8 | Lean | false | false | 2,223 | lean | import algebra --default
-- import algebra.archimedean
-- import algebra.big_operators
-- import algebra.char_zero
-- import algebra.euclidean_domain
-- import algebra.ordered_field
-- import algebra.pi_instances
-- import analysis.complex
-- import analysis.ennreal
-- import analysis.limits
-- import analysis.measure_... |
e8ade872e41548cdc8b25a27b5edb2d55f3491f3 | 35b83be3126daae10419b573c55e1fed009d3ae8 | /_target/deps/mathlib/data/zmod/quadratic_reciprocity.lean | fff4181f57e16c1b6b54e43288eb65882bd85d29 | [] | no_license | AHassan1024/Lean_Playground | ccb25b72029d199c0d23d002db2d32a9f2689ebc | a00b004c3a2eb9e3e863c361aa2b115260472414 | refs/heads/master | 1,586,221,905,125 | 1,544,951,310,000 | 1,544,951,310,000 | 157,934,290 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,423 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import field_theory.finite data.zmod.basic algebra.pi_instances
open function finset nat finite_field zmodp
namespace zmodp
variables {p q : ℕ} (hp : prime p) (hq : pr... |
00ee95af7eadd526ded231b31c2585998f9104c3 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/ring_theory/polynomial/cyclotomic/basic.lean | 0fe57a78fdc297b783f616ed9b852453f5bbdd16 | [
"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 | 48,143 | lean | /-
Copyright (c) 2020 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import algebra.polynomial.big_operators
import analysis.complex.roots_of_unity
import data.polynomial.lifts
import field_theory.separable
import field_theory.split... |
07e4b6cbdb5efcb97251d7f3c9ac4e433d60edf4 | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/data/zsqrtd/gaussian_int.lean | 27a89827f21a226bbe84a3274c82a7e9eb9f5845 | [
"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 | 7,167 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Chris Hughes
The gaussian integers ℤ[i].
-/
import data.zsqrtd.basic data.complex.basic algebra.euclidean_domain algebra.associated
open zsqrtd complex
local attribute [instance, prior... |
1fc7874bc3782d2bb04840ce408d0198ec6ad469 | 1d02a718c550dba762f0c3d2ad13d16a43649ca1 | /src/theorem.lean | eb1ba055e607d95293115f34ff2ec4bf98df9411 | [
"Apache-2.0"
] | permissive | mhuisi/rc-correctness | 48488dfbbe18e222399b0c5252d2803a9dd1be74 | 2b7878ac594ba285b0b5cdabe96f41c6e3bbcc87 | refs/heads/master | 1,590,988,773,033 | 1,585,334,858,000 | 1,585,334,858,000 | 190,653,803 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 42,462 | lean | import compiler
import well_formedness
namespace rc_correctness
open rc_correctness.expr
open rc_correctness.fn_body
open rc_correctness.lin_type
lemma not_𝔹_iff_𝕆 {τ : lin_type} : τ ≠ 𝔹 ↔ τ = 𝕆 :=
begin
cases τ;
split; intro h; contradiction <|> refl
end
lemma not_𝕆_iff_𝔹 {τ : lin_type} : τ ≠ 𝕆 ↔ τ = �... |
5ee51bc2642c61e03dac7c3b7965b9fdb96f2c4c | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/analysis/specific_limits.lean | 5064060955ff916739cdb5b8d0a221cd90ceb785 | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 21,549 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
A collection of specific limit computations.
-/
import analysis.normed_space.basic algebra.geom_sum
import topology.instances.ennreal
noncomputable theory
open_locale ... |
a0dc39f96d6fd75096f2f6cc3c50bbed53669a66 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/category_theory/pi/basic.lean | d69225d400c307f6390fa376a180699708fe8a91 | [
"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 | 4,343 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Scott Morrison
-/
import category_theory.natural_isomorphism
import category_theory.eq_to_hom
/-!
# Categories of indexed families of objects.
We define the pointwise ca... |
8a72bd0cf06f56bb07891d183184e13d7ca82c7b | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/measure_theory/lp_space.lean | fb453c38d20fab06345c3c142d808f6d2ddd15ff | [
"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 | 31,905 | lean | /-
Copyright (c) 2020 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Rémy Degenne.
-/
import measure_theory.ess_sup
import measure_theory.l1_space
import analysis.mean_inequalities
/-!
# ℒp space and Lp space
This file describes properties of almost ever... |
7cc292853aa56d38b095bc07d570d09e13974098 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/socket_server.lean | 14ca12d25d21563b8a6cb40e0c5e38db31c79c3c | [
"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 | 1,430 | lean | import system.io
def SECRET : string := "SECRET_DATA"
meta def start_client : io io.proc.child :=
do test_dir ← io.env.get "TEST_DIR",
(bin_dir, test_dir) ←
return $ match test_dir with
| some s := (s ++ "/../../../", s ++ "/")
| none := ("", "tests/lean/run/")
end,
io.proc.spawn {
cmd ... |
118b042862fdd0af0765683a0d1bd6f2d2032c34 | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/crypto/sha2.lean | 7aa232adb66bde76235aeb6d73b7a0964976ac69 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,037 | lean | import galois.bitvec.join
import galois.bitvec.rotate
namespace crypto
section pair_list
open list
definition pair_list_aux {α β : Type} (z : α) (f : α → α → β) : option α → list α → list β
| none [] := []
| (some x) [] := [f x z]
| none (x :: l) := pair_list_aux (some x) l
| (some x... |
c64503f946b0a884909396905a416c4b5a1a93cc | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /src/HNN_normalize.lean | f83587bf14788260e68ed5a4bd335a216c34422d | [] | no_license | ChrisHughes24/single_relation | 99ceedcc02d236ce46d6c65d72caa669857533c5 | 057e157a59de6d0e43b50fcb537d66792ec20450 | refs/heads/master | 1,683,652,062,698 | 1,683,360,089,000 | 1,683,360,089,000 | 279,346,432 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,418 | lean | import initial
import P
import data.list.min_max
/-!
# HNN normalization for the group_thingy tactic
This file implements the HNN normalization process and proof certificate
generation for the `group_thingy` tactic.
## Main definitions
This file contains the definition `HNN_normalize`, which is the only definition
i... |
64f4c34e482ef2ba834b622525532d1687422efd | 50b3917f95cf9fe84639812ea0461b38f8f0dbe1 | /canonical_isomorphism/equiv_question.lean | df7664d045dd77c2ddea303a3b8e04df85a95447 | [] | no_license | roro47/xena | 6389bcd7dcf395656a2c85cfc90a4366e9b825bb | 237910190de38d6ff43694ffe3a9b68f79363e6c | refs/heads/master | 1,598,570,061,948 | 1,570,052,567,000 | 1,570,052,567,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 778 | lean | import data.equiv
universes u v y z
def αu (X Y : Type u) := X → Y
def αuv (X : Type u) (Y : Type v) := X → Y
def αv (X Y : Type v) := X → Y
definition u_v {X : Type z} {Y : Type z} : equiv (αu X Y) (αv X Y) :=
{ to_fun := λ f,f,
inv_fun := λ f,f,
left_inv := λ x,rfl,
right_inv := λ x,rfl,
}
definition u_uv... |
286b13269462d3c2287c1c2f0ce00fdff90f8374 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/logic/equiv/local_equiv.lean | ffdc7f1f2075fbc88ea4f513182e71930c682e04 | [
"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 | 35,625 | 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 data.set.function
import logic.equiv.basic
/-!
# Local equivalences
This files defines equivalences between subsets of given types.
An element `e` of `... |
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