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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
97d10a466cf3ca4d00afd95b3ec3c6a0f9c7f0a1 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/finsupp/fintype.lean | 0f77c4113b1dd6ae240dccb3be55bfb94157515c | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 1,013 | lean | /-
Copyright (c) 2022 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Alex J. Best
-/
import data.finsupp.defs
import data.fintype.basic
/-!
# Finiteness and infiniteness of `finsupp`
Some lemmas on the combination of `finsupp`, `fintype` an... |
cb6c2604bb3246467ef128eaecdabf902db1db40 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/measure_theory/measure/outer_measure.lean | 9a68b5f9116db7512aaef5288f0086dd16943244 | [
"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 | 61,936 | 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.fin.vec_notation
import topology.algebra.infinite_sum
/-!
# Outer Measure... |
6051fe34514131aa1a152c369ccf352b6d82478f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/witt_vector/basic.lean | a371abb3895a0889fc26d35f335caa7331cb9873 | [] | 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 | 7,638 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Robert Y. Lewis
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.mv_polynomial.counit
import Mathlib.data.mv_polynomial.invertible
imp... |
b3c81d963cd9c0a25ea6704b4bc9612922a2ee60 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/free_module/ideal_quotient.lean | feb64f957bec7389d568de04f66500530ae7cf6c | [
"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 | 4,631 | 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 data.zmod.quotient
import linear_algebra.free_module.finite.basic
import linear_algebra.free_module.pid
import linear_algebra.quotient_pi
/-! # Ideals in free modu... |
e182d969c88f137b0d7a842e138e3f33ed64fe32 | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/category_theory/limits/functor_category.lean | e788e90af10204524cecb1082ebc8a2847b993cc | [
"Apache-2.0"
] | permissive | johoelzl/mathlib | 253f46daa30b644d011e8e119025b01ad69735c4 | 592e3c7a2dfbd5826919b4605559d35d4d75938f | refs/heads/master | 1,625,657,216,488 | 1,551,374,946,000 | 1,551,374,946,000 | 98,915,829 | 0 | 0 | Apache-2.0 | 1,522,917,267,000 | 1,501,524,499,000 | Lean | UTF-8 | Lean | false | false | 4,862 | lean | -- Copyright (c) 2018 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Scott Morrison
import category_theory.products
import category_theory.limits.preserves
open category_theory category_theory.category
namespace category_theory.limits
universe... |
e5f38ad8064d70111d65609caced30a3ec3501e7 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Lean/Compiler/IR/EmitC.lean | 796c29e61fca9992aab1f7fe2810b5fdae38b0ec | [
"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 | 25,863 | 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.Runtime
import Lean.Compiler.NameMangling
import Lean.Compiler.ExportAttr
import Lean.Compiler.InitAttr
import Lean.Compiler.IR.CompilerM
import... |
1cf46a2185b4176374b52e62799734c5012749f8 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/locally_constant/basic.lean | 1148549c6bcd2d4a3eb927a32c5749900a10b592 | [
"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 | 19,425 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import topology.subset_properties
import topology.connected
import topology.continuous_function.basic
import algebra.indicator_function
import tactic.tfae
import tact... |
98c2ad9fa74fbb263cfb12caaae5ad0d34594e7a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/trace.lean | c5d0ce8bf0fdf9dcf7a461dec9874efe6b52d97c | [
"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 | 23,613 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import linear_algebra.matrix.bilinear_form
import linear_algebra.matrix.charpoly.minpoly
import linear_algebra.determinant
import linear_algebra.finite_dimensional
import ... |
6b2d949c9f14058a334c293bddce053daf634f12 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/extra/rec5.lean | 3af93d474707100d95dafde492cbf56a59a4e6d8 | [
"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 | 808 | lean | import data.list
open nat list
set_option pp.implicit true
set_option pp.notation false
definition filter {A : Type} (p : A → Prop) [H : decidable_pred p] : list A → list A,
filter nil := nil,
filter (h :: t) := if p h then h :: filter t else filter t
open decidable
definition decidable_eq_nat : Π (a b : nat),... |
10af572821d2a56b74f98f55a87c0331146854c5 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/combinatorics/simple_graph/subgraph.lean | 943b22372c0bec1e3f74194c22ab3c32e9fdb53f | [
"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 | 17,461 | lean | /-
Copyright (c) 2021 Hunter Monroe. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Hunter Monroe, Kyle Miller, Alena Gusakov
-/
import combinatorics.simple_graph.basic
/-!
# Subgraphs of a simple graph
A subgraph of a simple graph consists of subsets of the graph's ... |
0ac9e9515900486021a6ce524e97667fd66ccacb | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Parser/Term.lean | 163275cf91c92a8180559720fa4c6346412797d8 | [
"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 | 18,676 | 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 Lean.Parser.Attr
import Lean.Parser.Level
namespace Lean
namespace Parser
namespace Command
def commentBody : Parser :=
{ fn := ... |
b035137f9ebd465d35cad489fa0791de8d4b22db | f10d66a159ce037d07005bd6021cee6bbd6d5ff0 | /poly_over_integral_domain.lean | 6a6f833bfe2c8219fe9d3fff320c45d787fe4fa0 | [] | no_license | johoelzl/mason-stother | 0c78bca183eb729d7f0f93e87ce073bc8cd8808d | 573ecfaada288176462c03c87b80ad05bdab4644 | refs/heads/master | 1,631,751,973,492 | 1,528,923,934,000 | 1,528,923,934,000 | 109,133,224 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 12,271 | lean | import .Sup_fin data.finsupp order.lattice data.nat.cast .euclidean_domain unique_factorization_domain
import .to_finsupp .to_finset poly associated_quotient
universes u v w
noncomputable theory
open classical set function finsupp lattice
local attribute [instance] finsupp.to_comm_semiring
local attribute [instance... |
839a28a78f6484a006a2b9fb94981bc3316346f5 | 7b66d83f3b69dae0a3dfb684d7ebe5e9e3f3c913 | /src/solutions/thursday/afternoon/linear_algebra.lean | 7fd80d36e5746e60f76202f765c72b3580802b99 | [] | permissive | dpochekutov/lftcm2020 | 58a09e10f0e638075b97884d3c2612eb90296adb | cdfbf1ac089f21058e523db73f2476c9c98ed16a | refs/heads/master | 1,669,226,265,076 | 1,594,629,725,000 | 1,594,629,725,000 | 279,213,346 | 1 | 0 | MIT | 1,594,622,757,000 | 1,594,615,843,000 | null | UTF-8 | Lean | false | false | 10,213 | lean | import analysis.normed_space.real_inner_product
import data.matrix.notation
import linear_algebra.bilinear_form
import linear_algebra.matrix
import tactic
universes u v
section exercise1
namespace semimodule
variables (R M : Type*) [comm_semiring R] [add_comm_monoid M] [semimodule R M]
/- - - - - - - - - - - - - -... |
cf4b459216488018dd364313b6362557e24e042d | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/algebra/field.lean | ed3ded3746c41f62896ff74534fde24f86492937 | [
"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 | 19,997 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis
Structures with multiplicative and additive components, including division rings and fields.
The development is modeled after Isabelle's library.
-/
import logic.eq logic.c... |
21bd66b8b3aaf02b9843c467b15290ef01dddb8f | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/algebra/continued_fractions/computation/terminates_iff_rat.lean | 1e15d9bddc7838d94a62962a444f19ed86d1f28d | [
"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 | 14,470 | lean | /-
Copyright (c) 2020 Kevin Kappelmann. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Kappelmann
-/
import algebra.continued_fractions.computation.approximations
import algebra.continued_fractions.computation.correctness_terminating
import data.rat
/-!
# Termina... |
f9b8db576739c40c45ea57f8d3350302e93bf984 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/geom_sum.lean | 39427b1f9dee0ca4584e3ce538b4e0069d0a1246 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,407 | lean | /-
Copyright (c) 2019 Neil Strickland. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Neil Strickland
Sums of finite geometric series
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group_with_zero.power
import Mathlib.algebra.big... |
1c96d280f1339faa3aa2f8ded418eb780c4ec644 | 1a61aba1b67cddccce19532a9596efe44be4285f | /library/data/real/order.lean | 0938738a461ea747fbbb7c881fa936275c2f7c33 | [
"Apache-2.0"
] | permissive | eigengrau/lean | 07986a0f2548688c13ba36231f6cdbee82abf4c6 | f8a773be1112015e2d232661ce616d23f12874d0 | refs/heads/master | 1,610,939,198,566 | 1,441,352,386,000 | 1,441,352,494,000 | 41,903,576 | 0 | 0 | null | 1,441,352,210,000 | 1,441,352,210,000 | null | UTF-8 | Lean | false | false | 36,260 | lean | /-
Copyright (c) 2015 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Robert Y. Lewis
The real numbers, constructed as equivalence classes of Cauchy sequences of rationals.
This construction follows Bishop and Bridges (1985).
To do:
o Rename things and... |
0bb6e12e3a22bfbc848203ef53f048cb296ccb40 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/group/units_hom.lean | bcab0e0c4de522a9bc1b0ed34c3a0575d2bfc2c9 | [
"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 | 5,062 | lean | /-
Copyright (c) 2018 Johan Commelin All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Chris Hughes, Kevin Buzzard
-/
import algebra.group.hom
/-!
# Lift monoid homomorphisms to group homomorphisms of their units subgroups.
-/
universes u v w
namespace u... |
fb0685ce50bc3576cb4f9e6091aa4d130655b692 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/ring_theory/adjoin_root.lean | af384e4770058d222d3d210aee44ca30a1403fc4 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,311 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
-/
import data.polynomial.field_division
import linear_algebra.finite_dimensional
import ring_theory.adjoin.basic
import ring_theory.power_basis
import rin... |
47a2be63b19706186e8abdbf1bafb5bab63d5da3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/kevin.lean | 406000b80226e62d69ef393e696441255a8e18c3 | [
"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 | 110 | lean | import Lean
open Lean
macro:10000 x:term "ⁿ" : term => `($x ^ $(mkIdent `n))
#check fun (n : Nat) => nⁿ
|
af91db36ad1537186506c0a918dc5ae5f1617844 | cc62cd292c1acc80a10b1c645915b70d2cdee661 | /src/category_theory/yoneda_comparisons.lean | fa6c17b992a2e3c41e92991bb941da0bb55e6b85 | [] | no_license | RitaAhmadi/lean-category-theory | 4afb881c4b387ee2c8ce706c454fbf9db8897a29 | a27b4ae5eac978e9188d2e867c3d11d9a5b87a9e | refs/heads/master | 1,651,786,183,402 | 1,565,604,314,000 | 1,565,604,314,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,922 | lean | import category_theory.yoneda
import category_theory.follow_your_nose
universes v₁ u₁
open category_theory
open opposite
-- Unimath, Coq
-- https://github.com/UniMath/UniMath/blob/master/UniMath/CategoryTheory/yoneda.v
-- Greg O'Keefe, Isabelle
-- https://www.isa-afp.org/browser_info/current/AFP/Category/document.pd... |
a634973081048cd984853d7686006289a4f7d4b6 | f5373ccdc976e6390397d9f4220a74c76f706f4a | /src/lean_gym/interface_m.lean | f24d753955d0a5ef5db6ff6724cdbe7f545db255 | [] | no_license | jasonrute/lean_gym_prototype | fcd91fdc454f9e351bbe258c765f50276407547e | ab29624d14e4e069e15afe0b1d90248b5b394b86 | refs/heads/master | 1,682,628,526,780 | 1,590,539,315,000 | 1,590,539,315,000 | 264,938,525 | 3 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,989 | lean | import tactic.core -- TODO: Remove this but need derive handler for monad
import tools.json_server
import lean_gym.api
import lean_gym.api_instances
/-
The interface monad is made of three parts
- A read-only configuration structure having
information on how to communicate with io and the parser as
well as othe... |
6b5a927037f7eef09aabeb3a00b329e60c30188f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/shapes/reflexive.lean | 9415a43050ad7597aa7a990b4e7cd2c4155bcaaa | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 6,147 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.kernel_pair
/-!
# Reflexive coequalizers
We define reflexive pairs as a pair of mor... |
c7a8999188d5eb730ace1b08da58101a8991943d | c31182a012eec69da0a1f6c05f42b0f0717d212d | /scripts/print_thm95_axioms.lean | 4a658cf6d0f30df94f3ab1f98a6ef2649953dec3 | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 249 | lean | import system.io
import liquid
-- Surround with unique tokens to be robust against anything in the import that may product output.
#print "BEGIN_THM95_AXIOMS"
#print axioms first_target
#print "END_THM95_AXIOMS"
meta def main : io unit := pure ()
|
c41ab9cc0a8c5f08c6233c557712c63769477125 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/topology/homotopy/fundamental_groupoid.lean | 14dc2d0d76f36cdef5298c0dd2ea3b3d295942f0 | [
"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 | 10,174 | lean | /-
Copyright (c) 2021 Shing Tak Lam. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Shing Tak Lam
-/
import topology.homotopy.path
import category_theory.groupoid
/-!
# Fundamental groupoid of a space
Given a topological space `X`, we can define the fundamental group... |
a5503dc485c1b23e5e813d81861b5997faf90ed7 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /tests/compiler/float.lean | ae2e98122a155422e700897c4ebe7a84346158b0 | [
"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 | 968 | lean |
def tst1 : IO Unit := do
IO.println (1 : Float);
IO.println ((1 : Float) + 2);
IO.println ((2 : Float) - 3);
IO.println ((3 : Float) * 2);
IO.println ((3 : Float) / 2);
IO.println (decide ((3 : Float) < 2));
IO.println (decide ((3 : Float) < 4));
IO.println ((3 : Float) == 2);
IO.println ((2 : Float) == 2);
IO.println... |
a94971440277ba1fc8144078234bb596150af49f | 32025d5c2d6e33ad3b6dd8a3c91e1e838066a7f7 | /tests/lean/run/newfrontend5.lean | 23185f9d7beca7c4d8c68620aeed33450852e909 | [
"Apache-2.0"
] | permissive | walterhu1015/lean4 | b2c71b688975177402758924eaa513475ed6ce72 | 2214d81e84646a905d0b20b032c89caf89c737ad | refs/heads/master | 1,671,342,096,906 | 1,599,695,985,000 | 1,599,695,985,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,976 | lean | def foo {α} (f : forall {β}, β → β) (a : α) : α :=
f a
new_frontend
#check_failure let g := id; foo g true -- fails
/-
Expands to
```
let g : ?γ → ?γ := @id ?γ;
@foo ?α (fun (β : Sort ?u) => g) true
```
Unification constraint
```
?γ → ?γ =?= β → β
```
fails because `β` is not in the scope of `?γ`
Error message ca... |
b57fc890a1165671cfcc5cf8e1d0cb19907f40f0 | b2e508d02500f1512e1618150413e6be69d9db10 | /src/category_theory/adjunction/limits.lean | 6a64d297605e953aa1d182ca0eceaa0b4f4c2df0 | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 5,076 | 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... |
efd051a39c17f420030b27b582c9007337e8f55e | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/nat/factorial/basic.lean | 5760aa0df81861504bb1dcc5e54e7842d6abf052 | [
"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 | 14,798 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes, Floris van Doorn, Yaël Dillies
-/
import data.nat.basic
import data.nat.pow
/-!
# Factorial and variants
This file defines the factorial, along with the... |
9bbc770db2d9d8093b0203cbe6e502852ab529b6 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/metric_space/emetric_paracompact.lean | e98eeb0e4256ee29372b296ed8174eccbf3a1ef3 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 8,365 | lean | /-
Copyright (c) 202 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import set_theory.ordinal.basic
import topology.metric_space.emetric_space
import topology.paracompact
/-!
# (Extended) metric spaces are paracompact
In this... |
2151c484ea6135292dc675f8adeab04cacb31a47 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/meta2.lean | c796c24db6653bc510d7f9ecbaaa436b740b0679 | [
"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 | 213 | lean | import system.io
meta definition foo : nat → nat
| a := nat.cases_on a 1 (λ n, foo n + 2)
vm_eval (foo 10)
meta definition loop : nat → io unit
| a := do put_str ">> ", put_nat a, put_str "\n", loop (a+1)
|
e316e32eba3110f32c078af6572230143e172414 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/logic/embedding.lean | eed50f99b7e4648b12e4cbff6a8992a1b22aeeb4 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 8,080 | 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 data.equiv.basic
/-!
# Injective functions
-/
universes u v w x
namespace function
/-- `α ↪ β` is a bundled injective function. -/
structur... |
c75b2c7e9f16dac08184ce43ae517b6b99a5ad5e | 0f5090f82d527e0df5bf3adac9f9e2e1d81d71e2 | /src/michael/path.lean | 6374468a8447e0eba985f2a9125de1bbfd27b288 | [] | no_license | apurvanakade/mc2020-lean-projects | 36eb42c4baccc37183635c36f8e1b3afa4ec1230 | 02466225aa629ab1232043bcc0a053a099fdb939 | refs/heads/master | 1,688,791,717,534 | 1,597,874,092,000 | 1,597,874,092,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,900 | lean | -- authorship note: we pulled things from mathlib:hedetniemi without looking carefully at authorship.
-- we'll have to backsolve for the author list later
import michael.simple_graph
universes u
variables {V : Type u}
section list
lemma list.cons_nth_le_succ
{α : Type*} {hd : α} (tl : list α)
(n : ℕ) (hn : n + ... |
24addfc020a2cd70d75fb9c0f4a5b558ee16f3d9 | 4aca55eba10c989f0d58647d3c2f371e7da44355 | /src/matrix_basic.lean | 2d6c54c8cd4d6fbffe5be89b452c334bbea27548 | [] | no_license | eric-wieser/l534zhan-my_project | f9fc75fb5454405e1a2fa9b56cf96c355f6f2336 | febc91e76b7b00fe2517f258ca04d27b7f35fcf3 | refs/heads/master | 1,689,218,910,420 | 1,630,439,440,000 | 1,630,439,440,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,200 | lean | /-
Copyright (c) 2021 Lu-Ming Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Lu-Ming Zhang.
-/
import linear_algebra.matrix.trace
import linear_algebra.matrix.to_lin
import linear_algebra.matrix.nonsingular_inverse
import data.complex.basic
/-!
This f... |
ece2dd9aae6977609062ec75d968662138583004 | 437dc96105f48409c3981d46fb48e57c9ac3a3e4 | /src/analysis/normed_space/finite_dimension.lean | cb89c01bb5e5efbaee063e5a537c93e59c17b57c | [
"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 | 12,679 | 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 analysis.normed_space.operator_norm
import linear_algebra.finite_dimensional
import tactic.omega
/-!
# Finite dimensional normed spaces over complete fi... |
032bb14b67027cd213f3f4a547d0068565ec3844 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/special_functions/exponential.lean | f928d78a10f1499c728cb30001df94717fe648cc | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 20,417 | lean | /-
Copyright (c) 2021 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Eric Wieser
-/
import analysis.normed_space.exponential
import analysis.calculus.fderiv_analytic
import topology.metric_space.cau_seq_filter
/-!
# Calculus results... |
bd3205f391654cea7f3464ae1b7e805ad3b7008c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/multiset/nat_antidiagonal.lean | 7baddb3243291e4eb42429cf0d708cc229d1498f | [
"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 | 1,837 | 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.multiset.nodup
import data.list.nat_antidiagonal
/-!
# Antidiagonals in ℕ × ℕ as multisets
This file defines the antidiagonals of ℕ × ℕ as multisets: th... |
7f7c9161679f525af65b17060f789708b101e354 | 6094e25ea0b7699e642463b48e51b2ead6ddc23f | /library/data/hf.lean | cc2b7d3e7c0006af67b3df2f0e9736571ec15121 | [
"Apache-2.0"
] | permissive | gbaz/lean | a7835c4e3006fbbb079e8f8ffe18aacc45adebfb | a501c308be3acaa50a2c0610ce2e0d71becf8032 | refs/heads/master | 1,611,198,791,433 | 1,451,339,111,000 | 1,451,339,111,000 | 48,713,797 | 0 | 0 | null | 1,451,338,939,000 | 1,451,338,939,000 | null | UTF-8 | Lean | false | false | 25,395 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
Hereditarily finite sets: finite sets whose elements are all hereditarily finite sets.
Remark: all definitions compute, however the performace is quite poor s... |
ae13c288b940a111407a22ccbbc249c418244653 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/algebra/order/with_zero.lean | a72d0edff8d3d416647f49fe22b43b06620dbe9b | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,261 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin, Patrick Massot
-/
import algebra.order.group
import algebra.group_with_zero
import algebra.group_with_zero.power
import tactic.abel
/-!
# Linearly ordered commu... |
9dbce453ccc2e454a0d6f02a587cbe0ec8059a66 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/floor.lean | f72aa511ecbcfc1149e80d5aa6db0292ff1688bb | [
"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 | 46,958 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Kevin Kappelmann
-/
import data.int.lemmas
import data.set.intervals.group
import data.set.lattice
import tactic.abel
import tactic.linarith
import tactic.positivity
/... |
826969fe6fd0dc2b30e9ea2ba2180f5754d446cf | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/analysis/normed_space/basic.lean | 7348c904c2f318243f3729a3eb9d5063aae8a9d7 | [
"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 | 40,068 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.pi_instances
import linear_algebra.basic
import topology.instances.nnreal topology.instances.complex
import topology.algebra.module
im... |
5ca675deafae1f05e73c07e4ac537f7d1c79f4fb | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/measure_theory/function/special_functions/inner.lean | 097b21c6f8db44fd14de793819e7635e95c8568f | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 1,281 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.inner_product_space.basic
import measure_theory.constructions.borel_space
/-!
# Measurability of scalar products
-/
variables {α : Type*} {𝕜 : T... |
e057dec6d5fdd56fcb343d16f34a6b148b14af91 | 30b012bb72d640ec30c8fdd4c45fdfa67beb012c | /data/rat.lean | 1fab55d03279b88c5c40cf8dc138b392c234d651 | [
"Apache-2.0"
] | permissive | kckennylau/mathlib | 21fb810b701b10d6606d9002a4004f7672262e83 | 47b3477e20ffb5a06588dd3abb01fe0fe3205646 | refs/heads/master | 1,634,976,409,281 | 1,542,042,832,000 | 1,542,319,733,000 | 109,560,458 | 0 | 0 | Apache-2.0 | 1,542,369,208,000 | 1,509,867,494,000 | Lean | UTF-8 | Lean | false | false | 44,408 | 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
Introduces the rational numbers as discrete, linear ordered field.
-/
import
data.nat.gcd data.pnat data.int.sqrt data.equiv.encodable order.basic
... |
1e15c1475674c9fe40d4d177ce6e29e551f08bc5 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/measure_theory/measure_space.lean | 238bcd3580e9b9ad1e531b3e9be38cd404a83ef7 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 113,473 | 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 measure_theory.outer_measure
import order.filter.countable_Inter
import data.set.accumulate
/-!
# Measure spaces
Given a measurable space `α`... |
90ccb42b367d966e0c60e08ac165d4f9d2baf241 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/struct_instance_in_eqn.lean | 44e64f92dd29f238775e1097fc619a422735a2cd | [
"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 | 130 | lean | new_frontend
structure S :=
(x : Nat) (y : Bool) (z : Nat) (w : Nat)
def g : S → S
| s@{ x := x, ..} => { s with x := x + 1 }
|
99381491b7fd844f65b2c0ddae540f5459208c93 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/with_terminal.lean | 28b0f21f327636abafb57c05d4e2055bf771f475 | [
"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 | 12,076 | 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.terminal
/-!
# `with_initial` and `with_terminal`
Given a category `C`, this file constructs two objects:
1. `with_terminal C`, the ca... |
9ca98e1e2888df544e1426d5ddb24bed2f5df49b | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/analysis/calculus/deriv.lean | a8f251d35d96f89f048c2758befd150e27ab71f2 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 70,694 | 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... |
17ba051afdd6ff1ff92b05eec4dd5a8eae24191b | 618003631150032a5676f229d13a079ac875ff77 | /src/control/monad/writer.lean | 3e51b0a241a0c42dcaa41b7ed09a36e69416c703 | [
"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 | 7,343 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
The writer monad transformer for passing immutable state.
-/
import control.monad.basic
import algebra.group.basic
universes u v w
structure writer_t (ω : Type u)... |
1753a27dc6bf0bbdc18870e5937584f03c579659 | 037dba89703a79cd4a4aec5e959818147f97635d | /src/2021/sets/sheet1.lean | 21b640fbf6ed34986369f97e80ae049fedcb16ae | [] | no_license | ImperialCollegeLondon/M40001_lean | 3a6a09298da395ab51bc220a535035d45bbe919b | 62a76fa92654c855af2b2fc2bef8e60acd16ccec | refs/heads/master | 1,666,750,403,259 | 1,665,771,117,000 | 1,665,771,117,000 | 209,141,835 | 115 | 12 | null | 1,640,270,596,000 | 1,568,749,174,000 | Lean | UTF-8 | Lean | false | false | 2,504 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Kevin Buzzard
-/
import tactic -- imports all the Lean tactics
/-!
# Sets in Lean, example sheet 1 : "forall" (`∀`)
A lot of questions about sets can be reduced to questions about l... |
91dae0f8ad4a07a8ab6fddd366a06bd3f1a64a80 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/data/real/nnreal.lean | 99c0c1e044c0ac4d32f7ad753c77f412f6c615f9 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,886 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import algebra.linear_ordered_comm_group_with_zero
import algebra.big_operators.ring
import data.real.basic
import data.indicator_function
/-!
# Nonnegative real num... |
54ddaecc2b2e03e4836c20deec3965f2457aef9f | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/real/cau_seq.lean | 77863a8042d28813220c567fc2e5bbac09a95e77 | [
"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 | 23,663 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.order.absolute_value
import algebra.big_operators.order
/-!
# Cauchy sequences
A basic theory of Cauchy sequences, used in the construction of the re... |
d372db19b839c014d4e331558ca4e83a4d18cf71 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/Tactic/Util.lean | 94626d920ceb8473e290b6aba5633d086fe466fc | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | cipher1024/lean4 | 6e1f98bb58e7a92b28f5364eb38a14c8d0aae393 | 69114d3b50806264ef35b57394391c3e738a9822 | refs/heads/master | 1,642,227,983,603 | 1,642,011,696,000 | 1,642,011,696,000 | 228,607,691 | 0 | 0 | Apache-2.0 | 1,576,584,269,000 | 1,576,584,268,000 | null | UTF-8 | Lean | false | false | 4,092 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.ForEachExpr
import Lean.Meta.Basic
import Lean.Meta.AppBuilder
import Lean.Meta.PPGoal
namespace Lean.Meta
/-- Aka user name -/
def getMV... |
b60f7cd433040e4efc0d6984d678bfe116606e78 | 37a833c924892ee3ecb911484775a6d6ebb8984d | /src/category_theory/grothendieck_category.lean | 52325813dbf0664a52602f627c68e30622fc3fca | [] | no_license | silky/lean-category-theory | 28126e80564a1f99e9c322d86b3f7d750da0afa1 | 0f029a2364975f56ac727d31d867a18c95c22fd8 | refs/heads/master | 1,589,555,811,646 | 1,554,673,665,000 | 1,554,673,665,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 482 | lean | import category_theory.types
namespace category_theory
universes v u
variables {C : Type u} [𝒞 : category.{v} C]
include 𝒞
-- This is just the comma category *↓F. Does it deserve a separate identity?
def grothendieck_category (F : C ⥤ Type u) : category (Σ c : C, F.obj c) :=
{ hom := λ p q, { f : p.1 ⟶ q.1 // (F.... |
d30324bc5de806d0d1d5ceb61dd32f98f3070750 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/shapes/zero.lean | 2a72af8c463bc023d330c10b35c018edafe5ec36 | [
"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 | 17,784 | 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.terminal
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.products
import category_theor... |
2e1c7997d27a570174574ffcc19d0d4caefc1894 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/have4.lean | 0c4516639c3abb36049cf0683497aeda37c6b568 | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 233 | lean | abbreviation Prop : Type.{1} := Type.{0}
variables a b c : Prop
axiom Ha : a
axiom Hb : b
axiom Hc : c
check have H1 : a, from Ha,
then have H2 : a, from H1,
have H3 : a, from H2,
then have H4 : a, from H3,
H4 |
84efadab30bf5f7cc220cec858d8267b6b765559 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/640a.hlean | e14196a457594a3be83736bb3d5e1151cafa39da | [
"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 | 925 | hlean | section
parameter {A : Type}
definition relation : A → A → Type := λa b, a = b
local abbreviation R := relation
local abbreviation S [parsing_only] := relation
variable {a : A}
check relation a a
check R a a
check S a a
end
section
parameter {A : Type}
definition relation' : A → A → Type := λa b, a... |
ecb8d8e56d9ee7971f8731d9e7d08f8acb65e615 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/field_theory/is_alg_closed/basic.lean | 55550ffbb8f991c3fa689c87394167a9c9024e78 | [
"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 | 20,934 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import field_theory.perfect_closure
import field_theory.separable
import ring_theory.adjoin.field
/-!
# Algebraically Closed Field
In this file we define the typeclass for a... |
a8e4e0ff23940a7d930ca2c89fd59a02d5906e88 | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/string.lean | 4768ea11d2514f50ff9b945f4f0d0f25a601cfbd | [
"Apache-2.0"
] | permissive | silky/lean | 79c20c15c93feef47bb659a2cc139b26f3614642 | df8b88dca2f8da1a422cb618cd476ef5be730546 | refs/heads/master | 1,610,737,587,697 | 1,406,574,534,000 | 1,406,574,534,000 | 22,362,176 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 35 | lean | import string
check "aaa"
check "B" |
ba4730885e03f001afe6884e619a9d7f1f69fb28 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/category/Frm.lean | 6052f12eb8b4f05a16511cf82af985da2cdd87dd | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,522 | 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 order.category.Lat
import order.hom.complete_lattice
import topology.category.CompHaus.basic
import topology.sets.opens
/-!
# The category of frames
> THIS FILE ... |
9bdfb4af1521729f208d9dbe39c2bef001f2f9a0 | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/thm95/row_iso.lean | 626c6e0b80ac7ceddc18d9a7de8cfcd7b0c313dc | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,193 | lean | import thm95.polyhedral_iso
import pseudo_normed_group.homotopy
import rescale.FiltrationPow
/-!
# A complex canonically isomorphic to `row 1` of the double complex
We have
```
lemma double_complex.row_one :
(double_complex BD κ r r' V Λ M N).row 1 =
BD.system κ r V r' (Hom ((cosimplicial Λ N).obj (mk 0)) M) := r... |
5ea505bcf749974a4cd508f57462b68a9ec417a8 | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /EXAMS/in-class.lean | ba97ef77385bf1a8202a29eda2f7d45d42bcd554 | [] | no_license | kevinsullivan/cs-dm-lean | b21d3ca1a9b2a0751ba13fcb4e7b258010a5d124 | a06a94e98be77170ca1df486c8189338b16cf6c6 | refs/heads/master | 1,585,948,743,595 | 1,544,339,346,000 | 1,544,339,346,000 | 155,570,767 | 1 | 3 | null | 1,541,540,372,000 | 1,540,995,993,000 | Lean | UTF-8 | Lean | false | false | 712 | lean | import data.set.basic
open set
/-
This problem tests your ability to
contruct proofs using case analysis
on a disjunction, ∀ elimination, and
or introduction.
Remember, To eliminate a ∀ in a goal,
of the form, ∀ x, P x, introduce an
arbitrary value x into your context
(using intro or assume) and then show
P x f... |
92a2b9eeccfeb8d40fd8032895e315fe410526a1 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/ll_infer_type_bug.lean | cce74d258e025cc046bb746d41f7c9b57c4004c3 | [
"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 | 505 | lean | def f : List Nat → Bool
| [] => false
| (a::as) => a > 0 && f as
#check f._main._cstage2
#exit
mutual def f1, f2, f3, f4, f5
with f1 : Nat → Bool
| 0 := f3 0
| x := f2 x
with f2 : Nat → Bool
| 0 := f4 0
| x := f3 x
with f3 : Nat → Bool
| 0 := f5 0
| x := f4 x
with f4 : Nat → Bool
| 0 := f5 0
| (x+1) := f4 x... |
6b7d24d8a7bc71c06c41cb42412c279aad877aff | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/algebra/category/Group/default.lean | c98b2856581fe75f2ff44307cfa4e1219318b3ba | [
"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 | 147 | lean | import algebra.category.Group.basic
import algebra.category.Group.limits
import algebra.category.Group.colimits
import algebra.category.Group.zero
|
b0e34584756ba22ddfbd96a8681521b9527879ea | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Init/Data/Hashable.lean | 42b57cfb7a0d60f7d9d26b6c5c75b402c43818b7 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 1,163 | 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.Data.UInt
import Init.Data.String
universes u
instance : Hashable Nat where
hash n := USize.ofNat n
instance [Hashable α] [Hashable ... |
00d03d582c5151530e8004b741596161fcae961b | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/CommandExtOverlap.lean | ed81eeaecf048362b126b0d9ed13d8123020c06f | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 316 | lean | syntax (name := mycheck) "#check" sepBy(term, ",") : command
open Lean
macro_rules [mycheck]
| `(#check $es,*) =>
let cmds := es.getElems.map $ fun e => Syntax.node `Lean.Parser.Command.check #[mkAtom "#check", e]
pure $ mkNullNode cmds
#check true
#check true, true
#check true, 1, 3, fun (x : Nat) => x + 1
|
0aad99d3609c915d1e5c6689f8a07b51c26cba5c | 4d7079ae603c07560e99d1ce35876f769cbb3e24 | /src/lori2021/lori.lean | b21f9f9d1e7752e0c724acc7d6365c29889b6250 | [] | no_license | chasenorman/Formalized-Voting | 72493a08aa09d98d0fb589731b842e2d08c991d0 | de04e630b83525b042db166670ba97f9952b5691 | refs/heads/main | 1,687,282,160,284 | 1,627,155,031,000 | 1,627,155,031,000 | 370,472,025 | 13 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,285 | lean | import set_theory.cardinal
import data.finset.basic
import data.stream.basic
import tactic
open_locale classical
noncomputable theory
-- Definition 1: Prof V X represents the set of (V, X)-profiles
def Prof : Type → Type → Type := λ (V X : Type), V → X → X → Prop
-- Definition 2: Given a profile P and x, y ∈ X(P)
--... |
cd27c200c5b4b903a9ed745c019da44437dca72e | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/topology/uniform_space/compact_separated.lean | f6841335bdbef78b6233d1dc451d23993c5ffdfa | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 10,769 | lean | /-
Copyright (c) 2020 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot
-/
import topology.uniform_space.separation
/-!
# Compact separated uniform spaces
## Main statements
* `compact_space_uniformity`: On a separated compact uniform spac... |
4ec933622de00669e990b7cbfa4affa03dc50562 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/analysis/normed/group/quotient.lean | d93fc7cb894a7ac2205641bb7ee7c4802fbcacc4 | [
"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 | 22,201 | lean | /-
Copyright (c) 2021 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Riccardo Brasca
-/
import analysis.normed.group.hom
/-!
# Quotients of seminormed groups
For any `seminormed_add_comm_group M` and any `S : add_subgroup M`, we provid... |
d8a5465baca1a8b3f0c4c7ddd1f434e71674f440 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/sets/compacts.lean | 2e7b12d28ccb9ebe75fcfcb6ae9cb39a034890da | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 12,223 | 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, Yaël Dillies
-/
import topology.sets.closeds
/-!
# Compact sets
We define a few types of compact sets in a topological space.
## Main Definitions
For a topologi... |
4f5cb9ee8ddb1942af6816134b5e1215fb641dec | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/scc.lean | a7c323a8ea741154e2b9a0be197f30c2d969b630 | [
"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 | 761 | lean | import Lean.Util.SCC
open Lean.SCC
def checkSCC (expected : List (List Nat)) (vertices : List Nat) (successorsOf : Nat → List Nat) : IO Unit := do
let r := scc vertices successorsOf
IO.println r
unless expected == r do
throw $ IO.userError ("expected result " ++ toString expected)
#eval checkSCC [[2], [1, 3], [4]]... |
def82b0c5aff3602995266101a92d0a8c9d85e7f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/order/lattice.lean | 3171636661ea99ad38bc28d56ace50a432140205 | [
"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 | 26,835 | 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 order.rel_classes
/-!
# (Semi-)lattices
Semilattices are partially ordered sets with join (greatest lower bound, or `sup`) or
meet (least upper bound, or `in... |
f1c88022bf07f3643fab26922997983bc3f3623f | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/eq25.lean | ca08ec8aa0de6100bf05c4c0d705e01ec4f36bfb | [
"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 | 143 | lean | inductive N
| O : N
| S : N → N
definition Nat := N
open N
definition add1 : Nat → Nat → Nat
| O b := b
| (S a) b := S (add1 a b)
|
381054ed4363da0d16bfb5e94d88e4e844c1763e | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/measure_theory/borel_space.lean | 0ab00a8999b0601fb661e98036d994a2267d8009 | [
"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 | 26,502 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Borel (measurable) space -- the smallest σ-algebra generated by open sets
It would be nice to encode this in the topological space type class, i.e. each topological sp... |
16cf246b50e7502b7d4a7b811607433067b7ff69 | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/793b.lean | 55a15f50a630e818a4f95d117ccc623d1e8c7153 | [
"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 | 10 | lean | check 1.2
|
8e3b75b68be4a12f64829d70a2dd7a8c609a854c | 0c1546a496eccfb56620165cad015f88d56190c5 | /tests/lean/run/interactive1.lean | ddb2a621db0d39ef2a1f9886a240e955c05904f4 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 897 | lean | def f : nat → nat := λ a, a
@[simp] lemma f_def (a : nat) : f a = a :=
rfl
def g : nat → nat := λ a, 1 + a
lemma g_def (a : nat) : g a = 1 + a :=
rfl
example (a b c : nat) : b = 0 → c = 1 → a + b + f c = g (f a) :=
begin
intros h1 h2,
simp [h1, h2, g_def, nat.add_comm 1 a]
end
example (b c : nat) : b = 0 → c =... |
64774e13e48b7afb0b0236e8fac10cf3399ed5e1 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/ho.lean | 7071cdb9c97833210acf3ce589c10b140b314590 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 176 | lean | import Int.
variable g {A : Type} (a : A) : A
variable a : Int
variable b : Int
axiom H1 : a = b
axiom H2 : (g a) > 0
theorem T1 : (g b) > 0 := subst H2 H1
print environment 2
|
50ca215bfc74acac5c905a27ba7cde7b898a5c5a | a6b711a4e8db20755026231f7ed529a9014b2b6d | /04_Implication/00_intro.lean | 29dd0f2f13292554e8ac07bc287fce0f1aae95bd | [] | no_license | chaseboettner/cs-dm-1 | b67d4a7e86f56bce59d2af115503769749d423b2 | 80b35f2957ffaa45b8b7a4479a3570a2d6eb4db0 | refs/heads/master | 1,585,367,603,488 | 1,536,235,675,000 | 1,536,235,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22 | lean | -- Under Construction
|
3a7fe8bf76359ed3bb40a2dc101a344bcab73f1d | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/topology/algebra/group.lean | af8bdc1fb4c93158de1ab3ecd57987f9e03ca008 | [
"Apache-2.0"
] | permissive | naussicaa/mathlib | 86d05223517a39e80920549a8052f9cf0e0b77b8 | 1ef2c2df20cf45c21675d855436228c7ae02d47a | refs/heads/master | 1,592,104,950,080 | 1,562,073,069,000 | 1,562,073,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,134 | 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, Patrick Massot
Theory of topological groups.
-/
import data.equiv.algebra
import group_theory.quotient_group
import topology.algebra.monoid topology.o... |
9c5edcc34b8235fdccd950cad21d9b0e83588615 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/data/bytearray/basic.lean | b21ab72b1b6d44bd0b5180759bfa0c07e1f7e565 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 1,675 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.data.array.basic init.data.uint init.data.option.basic
universes u
structure ByteArray :=
(data : Array UInt8)
attribute [extern cpp "l... |
d76b71d10e21bedebb0eb36d0ee4160f084ed176 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/euclidean_domain.lean | fb6460f69cd8ec8492ca5012aad3e29ed020c49a | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 3,164 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
-/
import algebra.gcd_monoid.basic
import ring_theory.coprime.basic
import ring_theory.ideal.basic
import ring_theory.principal_ideal_domain
/-!
# Lemmas ... |
cf44ec632adef70d354bb288811220f8651d7af4 | 037dba89703a79cd4a4aec5e959818147f97635d | /src/2022/relations/pals.lean | d709997a0d3b81af7f0143066b65e27cb3188270 | [] | no_license | ImperialCollegeLondon/M40001_lean | 3a6a09298da395ab51bc220a535035d45bbe919b | 62a76fa92654c855af2b2fc2bef8e60acd16ccec | refs/heads/master | 1,666,750,403,259 | 1,665,771,117,000 | 1,665,771,117,000 | 209,141,835 | 115 | 12 | null | 1,640,270,596,000 | 1,568,749,174,000 | Lean | UTF-8 | Lean | false | false | 5,080 | lean | import tactic
/-
# Solution to the `pals` question
Let X be a fixed set. If φ : X → A is a function then let’s define the equivalence relation
Rφ on X associated to φ by Rφ(s, t) ⇐⇒ φ(s) = φ(t) (you can check it’s an equivalence
relation if you like). Of course as φ and A vary we can get lots of different equivalence... |
a9659a1a3b7249f31ab320378236b4fae28a616d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/matchPatternInsideBinders.lean | 6417ada1562c0d4323dd1e102988a84cdae7fc1b | [
"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 | 100 | lean | def test : (λ x : Nat => id (id x)) = λ x => x := by
conv in (id _) =>
trace_state
simp
|
a13b408017f6e906b141490c7a1348a96d5ed10c | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/data/bool/thms.lean | 5539056e10aaffebd33ecb939f39ad0b9eac3bc6 | [
"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 | 3,600 | lean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Author: Leonardo de Moura
import data.bool.ops
import logic.connectives logic.decidable logic.inhabited
open eq eq.ops decidable
namespace bool
reducible bor band rec_on
the... |
c94e6a9e3e153a774604d183b7c61b00576ca189 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Lean/Elab/App.lean | 01614eab1d7b19ec1fe16fc7eb9accb64035a933 | [
"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 | 33,080 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.FindMVar
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.Elab.SyntheticMVars
namespace Lean
namespace Elab
namespace Term
open... |
4a458ef414bc6a8e2f36512ee98afea2bea8addb | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/ring_theory/ring_invo_auto.lean | 6c82ff30c824f2489af3df658cf12c405145e6ee | [] | 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 | 2,825 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow, Kenny Lau
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.equiv.ring
import Mathlib.algebra.opposites
import Mathlib.PostPort
un... |
19d4d553c651ba16e6d67945f634a855a4eebf94 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/box_integral/divergence_theorem.lean | 4744a0364b2b87bb3cf2cabb22fbce9f56f4af0c | [
"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 | 16,675 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.basic
import analysis.box_integral.partition.additive
import analysis.calculus.fderiv.add
import analysis.calculus.fderiv.mul
import an... |
2857fd54e302773d7a15f237e690e606b1917a42 | c777c32c8e484e195053731103c5e52af26a25d1 | /archive/imo/imo2005_q4.lean | c6d854167e288dbd827e6056e5be8b06c95946b4 | [
"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 | 4,430 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import field_theory.finite.basic
/-!
# IMO 2005 Q4
Problem: Determine all positive integers relatively prime to all the terms of the infinite sequence
`a n = 2 ^ ... |
f708a611666ef6e65ac8b335b6c5cc39361a49a9 | 69bc7d0780be17e452d542a93f9599488f1c0c8e | /11-2016-2019.lean | 39d48a637bb6e3514e2e9d853751958aaccfb90c | [] | no_license | joek13/cs2102-notes | b7352285b1d1184fae25594f89f5926d74e6d7b4 | 25bb18788641b20af9cf3c429afe1da9b2f5eafb | refs/heads/master | 1,673,461,162,867 | 1,575,561,090,000 | 1,575,561,090,000 | 207,573,549 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,645 | lean | -- Notes 11/26/2019
-- false is not provable, except from a contradiction
-- if we reach a proof of false, our proposition must be false
-- false also implies anything
example : false → 0 = 1 := false.elim
example : ∀ (P : Prop), false → P := λ (p), λ (f), false.elim f
#check @false.elim
-- If we can show that P ... |
2a2cb4b15dbce808f6cbbe21aa6c8754a03f6baf | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/homotopy/freudenthal.hlean | 20b7380bcd7e7e92d4555ceccb553df3e03dbe4a | [
"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 | 9,936 | hlean | /-
Copyright (c) 2016 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
The Freudenthal Suspension Theorem
-/
import homotopy.wedge homotopy.circle
open eq is_conn is_trunc pointed susp nat pi equiv is_equiv trunc fiber trunc_index
n... |
bfa34ceb3bd60fe2e3fe2e1a87378cf48ff58b8a | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/equiv/ring.lean | d76b34c07bb7dfea45d50bde8cf1b4fc3a5b56e2 | [
"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 | 9,555 | 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 algebra.field
/-!
# (Semi)ring equivs
In this file we define extension of `equiv` called `ring_equiv`, wh... |
c4d71bd9ef9ed64994eaf0ed3a1ee5012495dd31 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/algebra/order/archimedean.lean | 39a16c706e9e38406ac3d843ba60a7c3d0191631 | [
"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 | 14,520 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.field_power
import data.int.least_greatest
import data.rat.floor
/-!
# Archimedean groups and fields.
This file defines the archimedean property for ... |
3266818d07680c61928b77f1a911159abcbd480b | 626e312b5c1cb2d88fca108f5933076012633192 | /src/analysis/special_functions/exp_log.lean | a970bde07f015c3eb451e1df8c6489e86f6179a9 | [
"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 | 34,875 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne
-/
import analysis.calculus.inverse
import analysis.complex.real_deriv
import data.complex.exponential
/-!
# Complex and rea... |
1fe2c090c318a20d0f0a966d87dfb727b4ca988d | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/AdditivePointedSemigroup.lean | e1bebdc710d382502eaec7267d4a6cf841d5e8df | [] | 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 | 7,871 | 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 AdditivePointedSemigroup
structure AdditivePointedSemigroup (A : Type) : Type :=
(zero : A)
(plus : (A → (A → A)))
(associative_plus : (∀ {x y z : A} , (... |
fe4c6aa2b57dfc0976cd65ebca5e7ffc26f7b65c | 54deab7025df5d2df4573383df7e1e5497b7a2c2 | /topology/real.lean | 14510a07cd4070cf1310cb42f1303a3b83113cae | [
"Apache-2.0"
] | permissive | HGldJ1966/mathlib | f8daac93a5b4ae805cfb0ecebac21a9ce9469009 | c5c5b504b918a6c5e91e372ee29ed754b0513e85 | refs/heads/master | 1,611,340,395,683 | 1,503,040,489,000 | 1,503,040,489,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 62,134 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
The real numbers ℝ.
They are constructed as the topological completion of ℚ. With the following steps:
(1) prove that ℚ forms a uniform space.
(2) subtraction and addi... |
f9fa0759014a1571df348b323a178906e5725b43 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/exam1/lin2k_test.lean | f137f7a4cadd659ef3f6ec613b8cac65b6e87725 | [] | 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 | 7,615 | lean | import data.real.basic
import .lin2k
-- Let's work with rational number field
abbreviation K := ℚ
-- Here are nice abbreviations for types
abbreviation scalr := K
abbreviation vectr := K × K
/-
1A. [10 points]
Declare v1, v2, and v3 to be of type
vectr with values (4,6), (-6,2), and
(3, -7), respectively.
-/
--... |
69805beac826814d8014ece164fbb5a4a30355b4 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/bench/rbmap2.lean | 257350f2b496f0ed9c132cd24b989c792a716be7 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 2,899 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.coe init.data.option.basic init.system.io
universes u v w w'
inductive color
| Red | Black
inductive Tree
| Leaf {} ... |
73619c15b013ab6ebca8c1049afe75bc7e620719 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed/field/basic.lean | bd9a12ae695e577a97368ee91e41622cfba40963 | [
"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 | 37,183 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import algebra.algebra.subalgebra.basic
import analysis.normed.group.basic
import topology.instances.ennreal
/-!
# Normed fields
> THIS FILE IS SYNC... |
c729f7d0c7cf19d2b3f3e7d2f316ddd64e4fcf7f | 7da5ceac20aaab989eeb795a4be9639982e7b35a | /src/group_theory/mathieu_group.lean | 4fad9da75833916060042151827c270382d81d3e | [
"MIT"
] | permissive | formalabstracts/formalabstracts | 46c2f1b3a172e62ca6ffeb46fbbdf1705718af49 | b0173da1af45421239d44492eeecd54bf65ee0f6 | refs/heads/master | 1,606,896,370,374 | 1,572,988,776,000 | 1,572,988,776,000 | 96,763,004 | 165 | 28 | null | 1,555,709,319,000 | 1,499,680,948,000 | Lean | UTF-8 | Lean | false | false | 4,117 | lean | import group_theory.basic
import data.finset group_theory.group_action
open finset fintype
universes u v
local attribute [instance, priority 0] classical.prop_decidable
variables {α : Type u} {β : Type v} {t k v : ℕ}
namespace mathieu_group
/--
A Steiner system $S(t,k,v)$, where $t < k < v$ are positive integers i... |
08dc176600383fc63ce89a34c96eb6a64d04e7d3 | 495c02489c2d6a1db94dfdba71dd800d3cc67df2 | /group_theory/perm.lean | 88559b90d4ed34ec22a9398820e7dbe9a3455a4b | [
"Apache-2.0"
] | permissive | leodemoura/leanproved | e0fcbe4f4d72bf0dad9a962ed111b5975cf90712 | de56e0af159dd0c0421733289c76aa79c78a0191 | refs/heads/master | 1,606,822,676,898 | 1,435,711,541,000 | 1,435,711,541,000 | 36,675,856 | 0 | 0 | null | 1,433,178,724,000 | 1,433,178,724,000 | null | UTF-8 | Lean | false | false | 4,145 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import algebra.group data .finfun
open nat list algebra function
namespace group
open fintype
section perm
variable {A : Type}
variable [finA : fintype A]
include fin... |
5cf69f922e0b263804facabf007f176af33a53f5 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/monotonicity/lemmas_auto.lean | d16842daee1a69f801b073e33caa383dfdd9e7a8 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,477 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.monotonicity.basic
import Mathlib.data.set.lattice
import Mathlib.order.bounds
import Mathl... |
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