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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
cfb150cba7842e1033a871f07188c672d740e25c | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/comma.lean | 353c2675b75fec6cd677f5562a3901c45c6ed69b | [
"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 | 7,395 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johan Commelin, Bhavik Mehta
-/
import category_theory.natural_isomorphism
/-!
# Comma categories
A comma category is a construction in category theory, which builds ... |
594a83194004de09835c93569d68b877bdcabec0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/big_operators/finsupp.lean | 3ebc4941540447e383d8239eac2686ce4bcb865d | [
"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 | 23,214 | 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 data.finsupp.indicator
import algebra.big_operators.pi
import algebra.big_operators.ring
import algebra.big_operators.order
import group_theory.submonoid.membership
/-... |
736aa1dc4a3318e506bd2f8474feb69c2ed5dadb | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Compiler/LCNF/Specialize.lean | 5145651fb3632e171a8f1807b88c292d4828f3dd | [
"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 | 14,427 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.Specialize
import Lean.Compiler.LCNF.Simp
import Lean.Compiler.LCNF.SpecInfo
import Lean.Compiler.LCNF.PrettyPrinter
import Lean.Compil... |
7fb8076e09a9f3f0ee32db43938713360d0dc97d | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/tactic/core.lean | 9fac519ec0fe65e770f0bd5f3bc6dfb1cee13a50 | [
"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 | 94,617 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Simon Hudon, Scott Morrison, Keeley Hoek
-/
import data.dlist.basic
import logic.function.basic
import control.basic
import meta.expr
import meta.rb_map
import data.boo... |
e3aeb072578dc0c1c15d0d94bf79af55b5214416 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/data/equiv/local_equiv.lean | cf85ad2bc32f1bfa177032a61f031b4322eb2ced | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 21,866 | 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.equiv.basic
/-!
# Local equivalences
This files defines equivalences between subsets of given types.
An element `e` of `local_equiv α β` is made o... |
87d2087b9d6a5e9c4323dce4b86d20640e0f1c00 | 492a7e27d49633a89f7ce6e1e28f676b062fcbc9 | /src/monoidal_categories_reboot/monoidal_opposite.lean | ae63ebe0df3ec845e4264921f553b59290544cc6 | [
"Apache-2.0"
] | permissive | semorrison/monoidal-categories-reboot | 9edba30277de48a234b63813cf85b171772ce36f | 48b5f1d535daba4e591672042a298ac36be2e6dd | refs/heads/master | 1,642,472,396,149 | 1,560,587,477,000 | 1,560,587,477,000 | 156,465,626 | 0 | 1 | null | 1,541,549,278,000 | 1,541,549,278,000 | null | UTF-8 | Lean | false | false | 1,146 | 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 .monoidal_functor_attributes
open category_theory
namespace category_theory.monoidal
universes u₁ v₁ u₂ v₂
def mop (C : Sort u₁) : Sort u₁ := C
def unm... |
ea4e9173090598441450be5c3fabadf5e04a9190 | 957a80ea22c5abb4f4670b250d55534d9db99108 | /tests/lean/run/monad_univ_lift.lean | 012f22a8d7dd803ec04b707358ae500a15d28dc9 | [
"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 | 436 | lean | universe variables u v
def M : Type u → Type v :=
sorry
instance : monad M :=
sorry
def act1 : M unit :=
return ()
def act2 : M (Σ (A : Type), A) :=
return ⟨nat, 0⟩
def {t s} up {A : Type s} (a : M A) : M (ulift.{t} A) :=
sorry
def {t s} down {A : Type s} (a : M (ulift.{t} A)) : M A :=
sorry
prefix `↑`:10 := up... |
3d547f5da2a7c19cd201e370d81a021f23ffaeff | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/elements_auto.lean | 67fc078d6f9617c5f9ac441e5870abc18107591b | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,221 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.comma
import Mathlib.category_theory.groupoid
import Mathlib.category_theor... |
26644cd2b0772d00ca37de08066d0315145493e7 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/analysis/box_integral/box/basic.lean | 463059270a838c2f59ea581e68809651484b158b | [
"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 | 17,896 | 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 data.set.intervals.monotone
import topology.algebra.order.monotone_convergence
import topology.metric_space.basic
/-!
# Rectangular boxes in `ℝⁿ`
In this f... |
9e154bb337e7b44216826fa2036224e5acd49876 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebraic_geometry/AffineScheme.lean | 82c60f1351940b9a19b83121b4c3be0c7ec95b1f | [
"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 | 17,476 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.Gamma_Spec_adjunction
import algebraic_geometry.open_immersion
import category_theory.limits.opposites
/-!
# Affine schemes
We define the catego... |
321d78b5e70f9cdb4e7a4645df5b0bcf0454c4aa | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/ring_theory/adjoin/basic.lean | 73c19a8137cd7b7c4b75b241d080276df112f3da | [
"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 | 12,270 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import ring_theory.polynomial.basic
import algebra.algebra.subalgebra
/-!
# Adjoining elements to form subalgebras
This file develops the basic theory of subalgebras of an R-... |
711d6ab5a09289e29abce5c31ba28c7c7066d1bf | 95a0255955cf617fa80fca1ebb7cb4864f620075 | /move_to_lib.hlean | 990567aba9b3e81fff13e80c02abef8132916a47 | [
"Apache-2.0"
] | permissive | xuanYang/Spectral | 1df58d41745b2103c2eb7fddfb5e86652343327d | af30b19099a6e28a1b989c26c0603f1ff52a1367 | refs/heads/master | 1,624,752,891,749 | 1,504,812,124,000 | 1,504,812,124,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 41,228 | hlean | -- definitions, theorems and attributes which should be moved to files in the HoTT library
import homotopy.sphere2 homotopy.cofiber homotopy.wedge hit.prop_trunc hit.set_quotient eq2 types.pointed2
open eq nat int susp pointed sigma is_equiv equiv fiber algebra trunc pi group
is_trunc function unit prod bool
at... |
aa64a0dcf5e009a2744aa31aba4e84ef62828304 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/normed_space/pi_Lp.lean | da14f060696deae741cb2ab2f08c7e154e3ed404 | [
"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 | 35,904 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Jireh Loreaux
-/
import analysis.mean_inequalities
import data.fintype.order
/-!
# `L^p` distance on finite products of metric spaces
Given finitely many metric ... |
b9b2901a071bc6c1aabc8d98fcea080c8ea9dc4c | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/algebra/big_operators/order.lean | bdc3e34a9782d9c384661d97b5fe8e38c1aecb04 | [
"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 | 14,475 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import algebra.big_operators.basic
/-!
# Results about big operators with values in an ordered algebraic structure.
Mostly monotonicity results for the `∑` operati... |
990b035d83979adc19819f97f891b899144bb35b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/combinatorics/simple_graph/degree_sum.lean | b31e89db0ce7e420f86b24f5a03bf551c950f5a0 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,781 | lean | /-
Copyright (c) 2020 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kyle Miller
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.combinatorics.simple_graph.basic
import Mathlib.algebra.big_operators.basic
import Mathlib.data.na... |
d3526963e1303e79a4c8c2e80156fb77d2a0492b | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/data/rat/basic.lean | 267f956ee5a5cdf0484e4f0e09d799eff5254b02 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 24,929 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import
data.nat.gcd
data.pnat.basic data.int.sqrt data.equiv.encodable
algebra.group algebra.ordered_group algebra.group_power
algebra.ordered... |
3924d9dd87bf45ff6da58372a08c2c0a9fd82ee0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/continued_fractions/terminated_stable.lean | 86e0c340ce6f0d0762356cb36c34e8c3d875c565 | [
"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 | 3,829 | 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.translations
/-!
# Stabilisation of gcf Computations Under Termination
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any change... |
3d8f217c5a46a77504d4ef121f7ddd550b8cb580 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/function/l1_space.lean | eb5066f28b7734655b963007901b23bfa7d15c15 | [
"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 | 50,441 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import measure_theory.function.lp_space
/-!
# Integrable functions and `L¹` space
In the first part of this file, the predicate `integrable` is defined and basic pro... |
89dbf5a1c8b8b34cc5161d8bf9c16874c6f1e586 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/bounds.lean | 6d0286f9ff4362cf3d4a1a9c8f000c599bfd9bd5 | [
"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 | 4,042 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import algebra.order.group.order_iso
import algebra.order.monoid.order_dual
import data.set.pointwise.basic
import order.bounds.order_iso
import order.conditi... |
48ad3545fe0029ed38ff714b7652c38092c923ec | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/ring/opposite.lean | e9d57dd7a7955e0fd2d212e3af1119eed239e893 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 11,474 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.group_with_zero.basic
import algebra.group.opposite
import algebra.hom.ring
/-!
# Ring structures on the multiplicative opposite
> THIS FILE IS SYNCHRONIZED WI... |
6916ce94923a47af4b66dcbccfa6363a71ec0b91 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/sets_functions_and_relations/unnamed_256.lean | 443ee19ae23c37806462c088e937e93c4db958a6 | [] | 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 | 127 | lean | import tactic
variable {α : Type*}
variables (s t u : set α)
-- BEGIN
example : s \ (t ∪ u) ⊆ s \ t \ u :=
sorry
-- END |
cf3715aceae06447aa9f3b635c9c7ffa3bd8b36e | 3c9dc4ea6cc92e02634ef557110bde9eae393338 | /src/Lean/Elab/BuiltinNotation.lean | 0c01369f397858602fb81b992f7a5a9c498d7fdd | [
"Apache-2.0"
] | permissive | shingtaklam1324/lean4 | 3d7efe0c8743a4e33d3c6f4adbe1300df2e71492 | 351285a2e8ad0cef37af05851cfabf31edfb5970 | refs/heads/master | 1,676,827,679,740 | 1,610,462,623,000 | 1,610,552,340,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,692 | 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 Init.Data.ToString
import Lean.Compiler.BorrowedAnnotation
import Lean.Meta.KAbstract
import Lean.Meta.Transform
import Lean.Elab.Term
import Lean.El... |
3bdc3cb9aa76c6623d121fb5f2192956b0af66f5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/adjoin/basic.lean | 042265be90932fd1dc6e9bddae455bf9caba4acc | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 15,759 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.algebra.operations
import algebra.algebra.subalgebra.tower
import linear_algebra.prod
import linear_algebra.finsupp
/-!
# Adjoining elements to form subalgebras... |
2419c9dc2023b474ea0336df8e1e738fec9d59fd | 00de0c30dd1b090ed139f65c82ea6deb48c3f4c2 | /src/topology/algebra/module.lean | 12b82e8e53025ca21e57cb38bafe3f716db0f04a | [
"Apache-2.0"
] | permissive | paulvanwamelen/mathlib | 4b9c5c19eec71b475f3dd515cd8785f1c8515f26 | 79e296bdc9f83b9447dc1b81730d36f63a99f72d | refs/heads/master | 1,667,766,172,625 | 1,590,239,595,000 | 1,590,239,595,000 | 266,392,625 | 0 | 0 | Apache-2.0 | 1,590,257,277,000 | 1,590,257,277,000 | null | UTF-8 | Lean | false | false | 35,993 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Sébastien Gouëzel, Jean Lo, Yury Kudryashov
-/
import topology.algebra.ring
import ring_theory.algebra
import linear_algebra.projection
/-!
# Theory of topologic... |
89691e0c13b9177485cdcefeba57a3eec4e0870a | 10834b3de906c60d1989336d7506a00ee5e52c08 | /library/init/meta/simp_tactic.lean | 2aeaeff8a72d43f0cc367e5ad5f05392a74d53e1 | [
"Apache-2.0"
] | permissive | Jack-Pumpkinhead/lean | 16657b5ad7f5316f007842fa2426b7f91212eae8 | 81cabd7b5a8f789633639f5fba64b45d31e37259 | refs/heads/master | 1,621,358,983,310 | 1,585,070,616,000 | 1,585,070,616,000 | 251,335,905 | 0 | 0 | Apache-2.0 | 1,585,579,683,000 | 1,585,579,682,000 | null | UTF-8 | Lean | false | false | 26,857 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.tactic init.meta.attribute init.meta.constructor_tactic
import init.meta.relation_tactics init.meta.occurrences
import init.data.op... |
53ef1dce8e70ad2ac6dac1f621ce8d61f9d02003 | bb31430994044506fa42fd667e2d556327e18dfe | /src/algebra/order/field/basic.lean | 126e30e1cd3401d6001ad24835170ed32f8d40c7 | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 31,640 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Mario Carneiro, Floris van Doorn
-/
import order.bounds.order_iso
import algebra.field.basic
import algebra.order.field.defs
import algebra.group_power.o... |
32629d84608005d84368552a9b517832eab977f4 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/number_theory/liouville/liouville_with.lean | c05c8aeaa9979e036061a89ca4274f4f84104138 | [
"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 | 14,807 | lean | /-
Copyright (c) 2021 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.special_functions.pow
import number_theory.liouville.basic
import topology.instances.irrational
/-!
# Liouville numbers with a given exponent... |
31e90180c1a002f80a4f3a344e46829f2cbb4845 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/analysis/normed_space/basic.lean | 6cd948e84282c90daf5112de67311b14123fdff2 | [
"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 | 53,406 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import topology.instances.nnreal
import topology.instances.complex
import topology.algebra.module
import topology.metric_space.antilipschitz
/-!
# No... |
4779b31a64bf1ce45a3759a6e59accfba7a7cd71 | 4376c25f060c13471bb89cdb12aeac1d53e53876 | /src/espaces-metriques/custom/topology.lean | c7a7225a936785d0b00c523448c17cfd82ff681a | [
"MIT"
] | permissive | RaitoBezarius/projet-maths-lean | 8fa7df563d64c256561ab71893c523fc1424b85c | 42356e980e021a20c3468f5ca1639fec01bb934f | refs/heads/master | 1,613,002,128,339 | 1,589,289,282,000 | 1,589,289,282,000 | 244,431,534 | 0 | 1 | MIT | 1,584,312,574,000 | 1,583,169,883,000 | TeX | UTF-8 | Lean | false | false | 498 | lean | import .defs
import .sequences
open espace_metrique
section topologie
variables {X:Type} [espace_metrique X]
-- Accumulation point of S
def adhere_ens (S: set X) (l: X) := ∃ (x: ℕ → X), (∀ n, x n ∈ S) ∧ (converge x l)
-- Limit point: l is an accumulation point of S \ { l }
def point_limite (S: set X) (l: X) := adhe... |
ea753d46b90579b2f9dc9e1916629b89faf92ac2 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/category/Mon/basic.lean | 1616d7095a67a8fb54fae5d8f078369d8ce94014 | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 7,406 | 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.concrete_category.bundled_hom
import category_theory.concrete_category.reflects_isomorphisms
import algebra.punit_instances
/-!
# Category ins... |
fd16bea1726f8f8519cb8bb76bedf1cf9a558a53 | 3268ab3a126f0fef71459fbf170dc38efe5d0506 | /cohomology/serre.hlean | e6c6ab4adfc38835f02edc506d9a8ceb1d20a583 | [
"Apache-2.0"
] | permissive | soraismus/Spectral | f043fed1a4e02ddfeba531769b2980eb817471f4 | 32512bf47db3a1b932856e7ed7c7830b1fc07ef0 | refs/heads/master | 1,585,628,705,579 | 1,538,609,948,000 | 1,538,609,974,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 15,309 | hlean | import ..algebra.spectral_sequence ..spectrum.trunc .basic
open eq spectrum trunc is_trunc pointed int EM algebra left_module fiber lift equiv is_equiv
cohomology group sigma unit is_conn prod
set_option pp.binder_types true
/- Eilenberg MacLane spaces are the fibers of the Postnikov system of a type -/
namespa... |
0712035c8106ab13b6064d0817f613ae0dada0da | 3c693e12637d1cf47effc09ab5e21700d1278e73 | /src/topology/twitch.lean | 1769ff6aed3d9449348f2a408ed3e74d268a7773 | [] | no_license | ImperialCollegeLondon/Example-Lean-Projects | e731664ae046980921a69ccfeb2286674080c5bb | 87b27ba616eaf03f3642000829a481a1932dd08e | refs/heads/master | 1,685,399,670,721 | 1,623,092,696,000 | 1,623,092,696,000 | 275,571,570 | 19 | 1 | null | 1,593,361,524,000 | 1,593,344,124,000 | Lean | UTF-8 | Lean | false | false | 13,103 | lean | -- topological spaces from first princples!
-- Turns out there's quite a lot to it, but it's all straightforward
-- I'll start on the hour. I'll do a brief review of last week
-- (the below file,
-- https://github.com/ImperialCollegeLondon/Example-Lean-Projects/blob/master/src/topology/twitch.lean
-- and then I'll s... |
bcecc60ec24e0345e3aea3de241ec6b8a768bd3e | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Elab/Tactic/Rewrite.lean | cf135f2c9e16fd854b466dc45b8bc928fd6b8b4a | [
"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 | 2,480 | 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.Rewrite
import Lean.Meta.Tactic.Replace
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.ElabTerm
import Lean.Elab.Tactic.Locat... |
f0d35ae2d0d9253f14f6e2321909602855149884 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Meta/Injective.lean | e2abf546fe564791739e05760761cff78dbbe9d8 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | EdAyers/lean4 | 57ac632d6b0789cb91fab2170e8c9e40441221bd | 37ba0df5841bde51dbc2329da81ac23d4f6a4de4 | refs/heads/master | 1,676,463,245,298 | 1,660,619,433,000 | 1,660,619,433,000 | 183,433,437 | 1 | 0 | Apache-2.0 | 1,657,612,672,000 | 1,556,196,574,000 | Lean | UTF-8 | Lean | false | false | 6,725 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Transform
import Lean.Meta.Tactic.Injection
import Lean.Meta.Tactic.Apply
import Lean.Meta.Tactic.Refl
import Lean.Meta.Tactic.Cases
import... |
654b6b1c6b72e72965b24bde64ced69677b2402a | f7315930643edc12e76c229a742d5446dad77097 | /tests/lean/run/tactic9.lean | ce73ab2f34468fc70be4ec9f4b01a8d9efaffffc | [
"Apache-2.0"
] | permissive | bmalehorn/lean | 8f77b762a76c59afff7b7403f9eb5fc2c3ce70c1 | 53653c352643751c4b62ff63ec5e555f11dae8eb | refs/heads/master | 1,610,945,684,489 | 1,429,681,220,000 | 1,429,681,449,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 175 | lean | import logic
open tactic
theorem tst {A B : Prop} (H1 : A) (H2 : B) : ((fun x : Prop, x) A) ∧ B ∧ A
:= by apply and.intro; beta; assumption; apply and.intro; !assumption
|
de7ca06abc3b18b769a61825920dedca4bd08083 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/category/galois_connection.lean | 35ab915fc0bfe36419f58df9335d7ef40d4c1aea | [
"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 | 1,454 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Stephen Morgan, Scott Morrison, Johannes Hölzl, Reid Barton
-/
import category_theory.category.preorder
import category_theory.adjunction.basic
import order.galois_connection
/-!
# G... |
a4a47f49f9593b42dd52b64d705a1fba0ef8a9d3 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /hott/cubical/squareover.hlean | e3d0484877b5732a1761fb0ca910ba4d73259fde | [
"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 | 15,645 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Squareovers
-/
import .square
open eq equiv is_equiv
namespace eq
-- we give the argument B explicitly, because Lean would find (λa, B a) by itself, which
--... |
aa85769c8f7d21b48a7445795404ae8a62aab8ac | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/ctx.lean | 4475e0e72229fd2ef43e15cdcfde51bf3440fb5b | [
"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 | 363 | lean | import data.nat
open nat inhabited
constant N : Type.{1}
constant a : N
section s1
set_option pp.implicit true
definition f (a b : nat) := a
theorem nat_inhabited [instance] : inhabited nat :=
inhabited.mk zero
definition to_N [coercion] (n : nat) : N := a
infixl `$$`:65 := f
end s1
theorem tst : inh... |
ce137f6a1ed627ca5a2f5b19af3168a8973b93f7 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/algebraic_geometry/stalks.lean | 3728a23be73d85a54f1a5e0bf0a4dcc89b0ad847 | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 1,900 | 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 algebraic_geometry.presheafed_space
import topology.Top.stalks
/-!
# Stalks for presheaved spaces
This file lifts constructions of stalks and pushforwards of... |
268e74c7425253fe8a039dad3b8894f0ea2ec3f0 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/convex/cone/basic.lean | ca62b0911010ef52bf22850a1e32995f219d53b2 | [
"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 | 37,191 | lean | /-
Copyright (c) 2020 Yury Kudryashov All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Frédéric Dupuis
-/
import analysis.inner_product_space.projection
/-!
# Convex cones
In a `𝕜`-module `E`, we define a convex cone as a set `s` such that `a • x + b ... |
550c23e4ccdf65b8b15c110da1aae2443fc3a73d | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/measure_theory/vector_measure.lean | 67e83d71f5a9b14a02460959a665190044fce94f | [
"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 | 22,611 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.integration
/-!
# Vector valued measures
This file defines vector valued measures, which are σ-additive functions from a set to a add monoid
`M` su... |
074723260b81b659ff75edd04a429fde5bee129e | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /data/set/disjointed.lean | 6d68970672bb2e878f8e89ebfc768abb070e90e4 | [
"Apache-2.0"
] | permissive | linpingchuan/mathlib | d49990b236574df2a45d9919ba43c923f693d341 | 5ad8020f67eb13896a41cc7691d072c9331b1f76 | refs/heads/master | 1,626,019,377,808 | 1,508,048,784,000 | 1,508,048,784,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,733 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Disjointed sets
-/
import data.set.lattice data.nat.basic
open set classical lattice
local attribute [instance] decidable_inhabited prop_decidable
universes u v w x
va... |
4b51bec769e9111db198147e147c8e2d5f4f9c3e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/param_binder_update2.lean | 862c293e9ba3919a18481c82082555ee3bb3f67a | [
"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 | 372 | lean | section
parameters {A : Type} {B : Type}
definition foo1 (a : A) (b : B) := a
parameters (B) {A} -- Should not change the order of the parameters
definition foo2 (a : A) (b : B) := a
parameters {B} (A)
definition foo3 (a : A) (b : B) := a
parameters (A) (B)
definition foo4 (a : A) (b : B) := a
e... |
bce43aa5efcc866a71b0d8e90a49200b35dc8973 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/set/finite.lean | 1cbd5dc740c642cbadf3a31a6d11df4d861cb27b | [
"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 | 26,324 | 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.fintype.basic
/-!
# Finite sets
This file defines predicates `finite : set α → Prop` and `infinite : set α → Prop` and proves some
basic... |
1a94f851ead7157eafc60d41b6a0c33ebbc2c215 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/set_theory/cardinal.lean | 8b2c46c9a6d7fba2c4b753bca570d5b33f6dd7f7 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 59,292 | 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, Floris van Doorn
-/
import data.set.countable
import set_theory.schroeder_bernstein
import data.fintype.card
import data.nat.enat
/-!
# Cardinal Number... |
0c15eccf44cf93c7f68b5a6099d5fce1f35a26a1 | 1a61aba1b67cddccce19532a9596efe44be4285f | /library/data/nat/gcd.lean | f3e07ca5ce2fb21366d407abd524af80cd508a4c | [
"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 | 15,555 | 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
Definitions and properties of gcd, lcm, and coprime.
-/
import .div
open eq.ops well_founded decidable prod
namespace nat
/- gcd -/
private definiti... |
a2abd2a8a9f24a309be96ef05eb403159a37687f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/measurable_space.lean | 8f41f84ede036ceddfc522a504781715f2167a90 | [
"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 | 62,806 | 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 algebra.indicator_function
import data.tprod
import group_theory.coset
import logic.equiv.fin
import measure_theory.measurable_space_def
impor... |
921391981a0c1ee76a96794ed8c1e1795fc1206f | ed27983dd289b3bcad416f0b1927105d6ef19db8 | /src/exam1/lin2k_test.lean | 28fde2181ddb4a7b60e4aa03f94ed1bbeae9a024 | [] | no_license | liuxin-James/complogic-s21 | 0d55b76dbe25024473d31d98b5b83655c365f811 | 13e03e0114626643b44015c654151fb651603486 | refs/heads/master | 1,681,109,264,463 | 1,618,848,261,000 | 1,618,848,261,000 | 337,599,491 | 0 | 0 | null | 1,613,141,619,000 | 1,612,925,555,000 | null | UTF-8 | Lean | false | false | 12,163 | lean | import data.real.basic
import exam1.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.
-... |
851cf9746f86b3176d414b29a3011ae4af3f71d9 | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /stage0/src/Lean/Parser/Tactic.lean | ac76e4b29790750bd63dca6c5edd9b0d96270540 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,015 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.Parser.Term
namespace Lean
namespace Parser
namespace Tactic
builtin_initialize
registerParserAlias! "tacticSeq" tacti... |
ae225b87be3bc1b8ee99739ce6416e55d94ee9db | d0f9af2b0ace5ce352570d61b09019c8ef4a3b96 | /hw4/hw4.lean | c7e610184e7f5fe90068b9c70685c17ea687bc1c | [] | no_license | jngo13/Discrete-Mathematics | 8671540ef2da7c75915d32332dd20c02f001474e | bf674a866e61f60e6e6d128df85fa73819091787 | refs/heads/master | 1,675,615,657,924 | 1,609,142,011,000 | 1,609,142,011,000 | 267,190,341 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,257 | lean | -- Justin Ngo
-- jmn4fms
-- 2/17/20
-- Sullivan 2102-001
/-
Here we import the dm_option type defined in class
from the instructor directory. This line shows how
to include a file from the parent of the parent of
the current directory (one dot = current, two dots
= parent, three = parent of parent), descending into
se... |
36119b50a484d09062da7c1dacbdb3aee9f1575c | 367134ba5a65885e863bdc4507601606690974c1 | /src/computability/tm_computable.lean | 4154e47fe9d9d02b816cf9fa9f9bd6cfb9a44d28 | [
"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 | 11,344 | lean | /-
Copyright (c) 2020 Pim Spelier, Daan van Gent. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Pim Spelier, Daan van Gent.
-/
import computability.encoding
import computability.turing_machine
import data.polynomial.basic
import data.polynomial.eval
/-!
# Computable... |
fcdec36eb83d9bcdd1d417a8d04eafc511fdbc0b | b328e8ebb2ba923140e5137c83f09fa59516b793 | /stage0/src/Lean/Elab/Quotation.lean | 34713002a9bb1bf7c4fde7cf23732020277213ee | [
"Apache-2.0"
] | permissive | DrMaxis/lean4 | a781bcc095511687c56ab060e816fd948553e162 | 5a02c4facc0658aad627cfdcc3db203eac0cb544 | refs/heads/master | 1,677,051,517,055 | 1,611,876,226,000 | 1,611,876,226,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,111 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Elaboration of syntax quotations as terms and patterns (in `match_syntax`). See also `./Hygiene.lean` for the basic
hygiene workings and data types.
-/
import... |
feeb3c8239caf45704179f0a535de0c5abd22c8c | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/multiset/functor.lean | b545105906f951c03ae8c0fda068e2b7305302ac | [
"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 | 4,266 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl, Simon Hudon, Kenny Lau
-/
import data.multiset.basic
import control.traversable.lemmas
import control.traversable.instances
/-!
# Functoriality of `multis... |
41f09459f0dde018f53ec179dbc1955c32287b65 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/structInst2.lean | 2de347a0836d941e17dd61ef7f43cb192e5dc9df | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 1,516 | lean | import Init.Control.Option
universe u v
def OptionT2 (m : Type u → Type v) (α : Type u) : Type v :=
m (Option α)
namespace OptionT2
variable {m : Type u → Type v} [Monad m] {α β : Type u}
@[inline] protected def bind (ma : OptionT2 m α) (f : α → OptionT2 m β) : OptionT2 m β :=
(do {
let a? ← ma;
(match a? ... |
b2356d9f891287a59f0497a8b3673b9b0ac9aac4 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/lie/centralizer.lean | eb28c3e542be6801ad12246261e7d5febe15a4d1 | [
"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 | 6,648 | 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 algebra.lie.abelian
import algebra.lie.ideal_operations
import algebra.lie.quotient
/-!
# The centralizer of a Lie submodule and the normalizer of a Lie subalgebra.... |
c38d4b330ba7d71fff7a3d707c21e54d40990730 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/list_local_vars.lean | 0e5dbb907bb8be66a6233af49a2183ec5e36c286 | [
"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 | 1,996 | lean | -- #exit
open interactive tactic.interactive
namespace tactic.interactive
open lean.parser
meta def tac (ls : parse lean.parser.list_include_var_names) : tactic unit :=
trace ls
open interactive.types
@[user_command]
meta def tac_cmd (_ : parse $ tk "stuff") : lean.parser unit :=
with_local_scope $
do ls ← lean.pars... |
551280518cedee43fd6d77873712d136a3d2cd75 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/analysis/calculus/cont_diff.lean | 1cd0fd7da5153a0d787a33fb33af669b336ee300 | [
"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 | 143,605 | 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.calculus.mean_value
import analysis.normed_space.multilinear
import analysis.calculus.formal_multilinear_series
/-!
# Higher differentiability
... |
c47ce3c3f28e2ac755e7fd65c6cb89a7e5c1e7ba | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/logic/axioms/prop_complete.lean | cce9392c9ba43b78f36601fb688e55fd5d419df9 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,246 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: logic.axioms.classical
Author: Leonardo de Moura
-/
import logic.connectives logic.quantifiers logic.cast algebra.relation
open eq.ops
axiom prop_complete (a : Prop) : a = true... |
a6a452dd080240d69cfb04d680433cb300b24688 | e8d53a7b78545d183a23dd7bd921bc7ff312989f | /imp_prop_trunc.hlean | e242e43ce1261f9ab5b28a731bfe6828af51c141 | [] | no_license | Sumit0730/Impredicative | 857007626592440a27cf4440aa9a226d0ede7f3e | a75cb9989a684133d31d4889a746ee4fa7b66cea | refs/heads/master | 1,631,994,804,745 | 1,531,980,761,000 | 1,531,980,761,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,951 | hlean | /-
Copyright (c) 2015 Jakob von Raumer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jakob von Raumer, Floris van Doorn
Proof of the theorem that (is_trunc n A) is a mere proposition
We prove this here to avoid circular dependency of files
We want to use this in .eq... |
7f363cbc0ef537d34e246f160a730e0884592f57 | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /tests/lean/run/tactic3.lean | 6ecc69c0354bf42b16c837fb101d6cf429c5c1c8 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 193 | lean | import logic
open tactic
theorem tst {A B : Prop} (H1 : A) (H2 : B) : A
:= by [trace "first"; state; now |
trace "second"; state; fail |
trace "third"; assumption]
check tst
|
3ad4d9f807f38d32fc84ab79e9bb9e1844c9ea2f | 88fb7558b0636ec6b181f2a548ac11ad3919f8a5 | /tests/lean/run/cc1.lean | 2df4edfd8718cbdfd84bd974ce5e23a859817cf3 | [
"Apache-2.0"
] | permissive | moritayasuaki/lean | 9f666c323cb6fa1f31ac597d777914aed41e3b7a | ae96ebf6ee953088c235ff7ae0e8c95066ba8001 | refs/heads/master | 1,611,135,440,814 | 1,493,852,869,000 | 1,493,852,869,000 | 90,269,903 | 0 | 0 | null | 1,493,906,291,000 | 1,493,906,291,000 | null | UTF-8 | Lean | false | false | 2,142 | lean | open tactic
set_option pp.implicit true
example (a b c d : nat) (f : nat → nat → nat) : a = b → b = c → d + (if b > 0 then a else b) = 0 → f (b + b) b ≠ f (a + c) c → false :=
by do intros,
s ← cc_state.mk_using_hs,
trace s,
t₁ ← to_expr `(f (b + b) b),
t₂ ← to_expr `(f (a + c) c),
b ← ... |
f34de66a00409887a46395119e41cf40dfbc45ed | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/bounded.lean | 4c29d5138dae00fe6d15e9649eb3688aa3e01edd | [
"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 | 14,070 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import order.min_max
import order.rel_classes
import data.set.intervals.basic
/-!
# Bounded and unbounded sets
We prove miscellaneous lemmas... |
b5181cdc2d0a99fcd9b8cd93ee317e0ddac1f1be | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/monoid/with_zero/basic.lean | 35dc4316881639cdd7c87bffd4b4010d70be7907 | [
"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 | 1,079 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.order.monoid.with_zero.defs
import algebra.group_with_zero.basic
/-!
# An instance orphaned from `alg... |
bab80e35f2756a2752aa4f6ab1146376b99938d2 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/padics/padic_numbers.lean | ce2f68965732e147a369f8d21a4ac109f53b0a7d | [
"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 | 32,536 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import data.real.cau_seq_completion
import data.padics.padic_norm algebra.archimedean analysis.normed_space.basic
import tactic.norm_cast
/-!
# p-adic numbers
T... |
4f64b4a14ba5c27d2c9106ddf2ac7a4c065c11ee | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/shapes/finite_limits.lean | c3664f088370a29d969859d01e075fce4385ca69 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 8,685 | 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.fin_category
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.equalizers
import category_theory.limits... |
31369b8401d52f9d8667a18986516085bca902b0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/balg.lean | d91cd224167f98e4a86036fd5b4447a5b3938e58 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 2,471 | lean | import Lean
universe u
structure Magma where
α : Type u
mul : α → α → α
instance : CoeSort Magma (Type u) where
coe s := s.α
abbrev mul {M : Magma} (a b : M) : M :=
M.mul a b
set_option pp.all true
infixl:70 (priority := high) "*" => mul
structure Semigroup extends Magma where
mul_assoc (a b c : α) :... |
187b3a14acd6320250e7fcbcf786aa791a7bb364 | 54d7e71c3616d331b2ec3845d31deb08f3ff1dea | /library/init/category/alternative.lean | c34d46d9b4b888691468356732fbbf8eb07436ee | [
"Apache-2.0"
] | permissive | pachugupta/lean | 6f3305c4292288311cc4ab4550060b17d49ffb1d | 0d02136a09ac4cf27b5c88361750e38e1f485a1a | refs/heads/master | 1,611,110,653,606 | 1,493,130,117,000 | 1,493,167,649,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,095 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
prelude
import init.logic init.category.applicative
universes u v
class alternative (f : Type u → Type v) extends applicative f : Type (max u+1 v) :=
(failu... |
58b20fd82ca164ec1a890825674e86bacd987951 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /library/data/nat/div.lean | 0730f629c50961b179967c3a0e6df859fc1d2ccd | [
"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 | 27,204 | 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
Definitions and properties of div and mod. Much of the development follows Isabelle's library.
-/
import .sub
open well_founded decidable prod
namespa... |
6fe0c3eabc20fc24bbcf094943498d18ecc7b4b0 | 28be2ab6091504b6ba250b367205fb94d50ab284 | /src/game/world10/level6.lean | f36b40ccbf99f53240d90c7d05bbea1dd637dbbe | [
"Apache-2.0"
] | permissive | postmasters/natural_number_game | 87304ac22e5e1c5ac2382d6e523d6914dd67a92d | 38a7adcdfdb18c49c87b37831736c8f15300d821 | refs/heads/master | 1,649,856,819,031 | 1,586,444,676,000 | 1,586,444,676,000 | 255,006,061 | 0 | 0 | Apache-2.0 | 1,586,664,599,000 | 1,586,664,598,000 | null | UTF-8 | Lean | false | false | 846 | lean | import game.world10.level5 -- hide
namespace mynat -- hide
/-
# Inequality world.
## Level 6: `le_antisymm`
In Advanced Addition World you proved
`eq_zero_of_add_right_eq_self (a b : mynat) : a + b = a → b = 0`.
This might be useful in this level.
-/
/- Lemma
$\le$ is antisymmetric. In other words, if $a\le b$ ... |
2c7e1f1925a058879d3787b0191b9be0d9678f7c | 5749d8999a76f3a8fddceca1f6941981e33aaa96 | /src/topology/metric_space/basic.lean | 02ed06bd2c0d469d8d914fcba805c0a6d05f16c4 | [
"Apache-2.0"
] | permissive | jdsalchow/mathlib | 13ab43ef0d0515a17e550b16d09bd14b76125276 | 497e692b946d93906900bb33a51fd243e7649406 | refs/heads/master | 1,585,819,143,348 | 1,580,072,892,000 | 1,580,072,892,000 | 154,287,128 | 0 | 0 | Apache-2.0 | 1,540,281,610,000 | 1,540,281,609,000 | null | UTF-8 | Lean | false | false | 68,117 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Metric spaces.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
Many definitions and theorems expected on metric spaces are already introduced o... |
fc636c9013badd14325bb8453ff8006530e8b088 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/gen_bug.lean | 66e30f56543c371fed77ee751814e9635e8317d4 | [
"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 | 425 | lean | import logic
set_option pp.notation false
set_option pp.implicit true
theorem tst (A B : Type) (a : A) (b : B) : a == b → b == a :=
begin
intro H,
generalize B, -- Should produce an error
intro B',
apply (heq.symm H),
end
theorem tst2 (A B : Type) (a : A) (b : B) : a == b → b == a :=
begin
generalize a,
... |
672711ec692fa4ff0b4adfaac1679ca96a7cf7ec | 4727251e0cd73359b15b664c3170e5d754078599 | /src/order/directed.lean | 11f44fa57d2206d2f9396320aaa52d62d40351b7 | [
"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 | 6,965 | 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.set.basic
import order.lattice
import order.max
/-!
# Directed indexed families and sets
This file defines directed indexed families and directed sets. ... |
a104b5c902c03e7427ec0eb366b1700c83a3448a | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/PrettyPrinter/Delaborator/TopDownAnalyze.lean | 3b1134f7e623af4f12879a9000915aea35a03e66 | [
"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 | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 27,137 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import Lean.Data.RBMap
import Lean.Meta.SynthInstance
import Lean.Util.FindMVar
import Lean.Util.FindLevelMVar
import Lean.Util.CollectLevelParams
import Lean.U... |
d54e94942bbf17fb7450a63ee7d56f91733057f9 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/order/filter/at_top_bot.lean | 6e491df8caafeaf3b5376025bc206726bc2035be | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 41,918 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad, Yury Kudryashov, Patrick Massot
-/
import order.filter.bases
import data.finset.preimage
/-!
# `at_top` and `at_bot` filters on preorded sets, monoids a... |
9b491c9bebb856ad266b2a18e053affc1437ffa6 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/ring_theory/adjoin_root.lean | 35b5284da12d1ef1eb4822b7b1c3fa47c3afd9d1 | [
"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 | 3,649 | 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
Adjoining roots of polynomials
-/
import data.polynomial ring_theory.principal_ideal_domain
noncomputable theory
universes u v w
variables {α : Type u... |
02a15b36175ebf5ce8cf090fa5f1762b36d927cc | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /src/game/max/level10.lean | b14dd4bb4e1a4243e65d77d05a552e55641c4f89 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 739 | lean | import game.max.level09 -- hide
open_locale classical -- hide
noncomputable theory -- hide
namespace xena -- hide
/-
# Chapter ? : Max
## Level 10
And finally `lt_max_iff`.
-/
/- Lemma
If $a$, $b$, $c$ are real numbers,
then $a<\max(b,c)$ iff ($a<b$ or $a<c$).
-/
theorem lt_max_iff {a b c : ℝ} : a < max b c ↔ ... |
08fae2dd3f584f3caf7fe8ada5a539e4eef1baea | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /src/ring_theory/ideal/basic.lean | 11659e978ea263d274cfe736ed5ab90699422cd2 | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,116 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Mario Carneiro
-/
import algebra.associated
import linear_algebra.basic
import order.zorn
/-!
# Ideals over a ring
This file defines `ideal R`, the type of ideals... |
7b92eb8abae96272c96f49ebe585c972869fd4c3 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /data/num/lemmas.lean | 113604ae8f631681e6fd65e86062359243b13163 | [
"Apache-2.0"
] | permissive | rwbarton/mathlib | 939ae09bf8d6eb1331fc2f7e067d39567e10e33d | c13c5ea701bb1eec057e0a242d9f480a079105e9 | refs/heads/master | 1,584,015,335,862 | 1,524,142,167,000 | 1,524,142,167,000 | 130,614,171 | 0 | 0 | Apache-2.0 | 1,548,902,667,000 | 1,524,437,371,000 | Lean | UTF-8 | Lean | false | false | 37,513 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Properties of the binary representation of integers.
-/
import data.num.basic data.num.bitwise algebra.order
tactic.interactive data.int.basic
namespace p... |
3a79ddc5952e0902c456ce53bebc51a7cb6f538c | 94e33a31faa76775069b071adea97e86e218a8ee | /src/order/filter/bases.lean | 0d7288657433ca455546f9f4082d80503e171bd2 | [
"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 | 44,172 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import data.prod.pprod
import data.set.countable
import order.filter.basic
/-!
# Filter bases
A filter basis `B : ... |
6667bf430c3d5bbafbc82fa4c1f9ad01c4fcc7bb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/monoidal/tor.lean | 9ea38314c8550689ff8af32a0a4e7f4c651b8138 | [
"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 | 2,924 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.functor.left_derived
import category_theory.monoidal.preadditive
/-!
# Tor, the left-derived functor of tensor product
> THIS FILE IS SYNCHRO... |
e0cee1c8664fdeb90014f1ec8d5a9085ddd1f748 | a8a8012e62ebc4c8550b92736c0b20faab882ba0 | /yoneda_bug.hlean | 3cae14bc0ec481e3f521f09e83af2dc53f664513 | [] | no_license | fpvandoorn/Bergen-Lean | d02d173f79492498b0ee042ae6699a984108c6ef | 40638f1e04b6c681858127e85546c9012b62ab63 | refs/heads/master | 1,610,398,839,774 | 1,484,840,344,000 | 1,484,840,344,000 | 79,229,751 | 0 | 2 | null | null | null | null | UTF-8 | Lean | false | false | 3,610 | hlean | --The following special case of the Yoneda lemma:
--If A -> X ~= B -> X for all X, then A ~= B
import types.equiv
import types.pointed
open pointed eq equiv is_equiv
set_option pp.all true
structure typeclass :=
(data : Type → Type)
namespace typeclass
structure obj.{u v} (C : typeclass.{u v}) : Type.{max (u+1)... |
2a6611a62135f8973e1796768db41011c837d61b | c055f4b7c29cf1aac2223bd8c1ac8d181a7c6447 | /src/categories/universal/default.lean | 73c03b223d2c669112ddd690f2667ec0c341dca0 | [
"Apache-2.0"
] | permissive | rwbarton/lean-category-theory-pr | 77207b6674eeec1e258ec85dea58f3bff8d27065 | 591847d70c6a11c4d5561cd0eaf69b1fe85a70ab | refs/heads/master | 1,584,595,111,303 | 1,528,029,041,000 | 1,528,029,041,000 | 135,919,126 | 0 | 0 | null | 1,528,041,805,000 | 1,528,041,805,000 | null | UTF-8 | Lean | false | false | 5,723 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .cones
open categories
open categories.functor
open categories.isomorphism
open categories.initial
open categories.types
namespace catego... |
c441db91f9252ffd2524570af661a3e358a11015 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/order/bounded.lean | b7e2634a12a816f54ad978a93f6aeef5aa22c32c | [
"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 | 14,049 | lean | /-
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
import order.rel_classes
import data.set.intervals.basic
/-!
# Bounded and unbounded sets
We prove miscellaneous lemmas about bounded and un... |
1f026041777145a8bf08cc1279a819381cadd448 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/heapSort.lean | a92bcca95af20d3558024e987706ab971b1b6324 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 7,800 | lean | /-
Copyright (c) 2021 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
/-- A max-heap data structure. -/
structure BinaryHeap (α) (lt : α → α → Bool) where
arr : Array α
namespace BinaryHeap
/-- Core operation for binary heaps, expr... |
22587435d56b43d5012fdeaae42057867c1939c6 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/limits/shapes/biproducts.lean | 91e712e77d37831caaa89c2dc974f46bc769f4aa | [
"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 | 69,327 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Jakob von Raumer
-/
import algebra.group.ext
import category_theory.limits.shapes.finite_products
import category_theory.limits.shapes.binary_products
import category_t... |
e3f77b56145bb8c6b8a5b0be54d2b625ce04f150 | cbcb0199842f03e7606d4e43666573fc15dd07a5 | /src/algebra/roption_instances.lean | 902452e844c7d2e8f474cad50a2d0fc90542abc1 | [
"Apache-2.0"
] | permissive | truonghoangle/mathlib | a6a7c14b3767ec71156239d8ea97f6921fe79627 | 673bae584febcd830c2c9256eb7e7a81e27ed303 | refs/heads/master | 1,590,347,998,944 | 1,559,728,860,000 | 1,559,728,860,000 | 187,431,971 | 0 | 0 | null | 1,558,238,525,000 | 1,558,238,525,000 | null | UTF-8 | Lean | false | false | 4,525 | lean | /-
Copyright (c) 2019 Hoang Le Truong. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Hoang Le Truong.
If α is a semigroup, a comm_semigroup, a comm_monoid,a add_semigroup, a add_comm_semigroup, a add_comm_monoid,
a mul_action, a distrib_mul_action, so is roption α. ... |
6b6b133ca840e3973dfd2e15df8e318cd961bbae | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/bench/rbmap2.lean | 58fff6a1124e531447277c8c6bbcd1e2832f1969 | [
"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 | 2,898 | 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 {} ... |
c3ed255485e18de468ec3bde0bbca24f9006a73b | d0c6b2ba2af981e9ab0a98f6e169262caad4b9b9 | /tests/lean/run/whileRepeat.lean | 3f1f157383837604e7920e94ddb88b7e86f7499c | [
"Apache-2.0"
] | permissive | fizruk/lean4 | 953b7dcd76e78c17a0743a2c1a918394ab64bbc0 | 545ed50f83c570f772ade4edbe7d38a078cbd761 | refs/heads/master | 1,677,655,987,815 | 1,612,393,885,000 | 1,612,393,885,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,208 | lean | structure Loop where
@[inline]
partial def Loop.forIn {β : Type u} {m : Type u → Type v} [Monad m] (loop : Loop) (init : β) (f : Unit → β → m (ForInStep β)) : m β :=
let rec @[specialize] loop (b : β) : m β := do
match ← f () b with
| ForInStep.done b => pure b
| ForInStep.yield b => loop b
loop i... |
6462db50135cab993b187065e60c1eb500afb6a3 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/nat/choose/dvd.lean | 78200b71d7dff5100fb5ca70a90115bc4670d4b3 | [
"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 | 1,228 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Patrick Stevens
-/
import data.nat.choose.basic
import data.nat.prime
/-!
# Divisibility properties of binomial coefficients
-/
namespace nat
open_locale nat
namespace ... |
5bdbfa5afbea017bb9e4800f771e824bf0571bd0 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/NonassociativeNondistributiveRing.lean | 16af8e2eb03352bfb7cb4ce85a1c9eb02fbc01bd | [] | 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 | 14,959 | 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 NonassociativeNondistributiveRing
structure NonassociativeNondistributiveRing (A : Type) : Type :=
(times : (A → (A → A)))
(one : A)
(lunit_one : (∀ {x :... |
4c1f3daa02765899f40643e4d48835643b888757 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/dynamics/ergodic/measure_preserving.lean | fd40d553097f79933a74ad0e1c28ecec94d2acb4 | [
"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 | 6,581 | 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 measure_theory.constructions.prod
/-!
# Measure preserving maps
We say that `f : α → β` is a measure preserving map w.r.t. measures `μ : measure α` and
`ν ... |
7d0c6179480736985a2a06e2fc4c672d7f506923 | 618003631150032a5676f229d13a079ac875ff77 | /src/tactic/simp_rw.lean | 34c058ff931ff5ede1f3899e12a9c1200eb865e4 | [
"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 | 2,341 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
The `simp_rw` tactic, a mix of `simp` and `rewrite`.
-/
import tactic.core
/-!
# The `simp_rw` tactic
This module defines a tactic `simp_rw` which functions as a mix of `si... |
1aefa86c7f8fd9c9340a1133774a4ab90e12c831 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/category_theory/limits/lattice.lean | b40b444fc6e2630614332af0daff34497a75b518 | [
"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 | 7,308 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Justus Springer
-/
import category_theory.category.preorder
import category_theory.limits.shapes.finite_limits
import order.complete_lattice
/-!
# Limits in lattice ca... |
8faec8f560e4e99707cfc558bc33362472b0dace | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/matrix/notation.lean | 2915fd7f8d4482f1573a8a023799eba99379c062 | [
"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 | 14,453 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen, Eric Wieser
-/
import data.matrix.basic
import data.fin.vec_notation
import tactic.fin_cases
import algebra.big_operators.fin
/-!
# Matrix and vector notation
This file inc... |
3f14aa5428f0dce1788e06530e538129e8d932a2 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/univIssue.lean | 0b00401e85a4832fe7fc5d5107602ae312cd4f53 | [
"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 | 308 | lean | universes u v
@[inline] def ex1 {σ : Type u} {m : Type u → Type v} [Functor m] {α : Type u} (x : StateT σ m α) (s : σ) : m α :=
Functor.map Prod.fst (x s)
@[inline] def ex2 {σ : Type u} {m : Type u → Type v} [Functor m] {α : Type u} (x : StateT σ m α) (s : σ) : m α :=
Prod.fst <$> x s
|
0b303fe00a398cf5eba671326e1c4b5125aa3605 | dfbb669f3f58ceb57cb207dcfab5726a07425b03 | /vscode-lean4/test/test-fixtures/simple/Main.lean | 5e66ab0fffd0eb0b23eb2d515fd585359f8cffe3 | [
"Apache-2.0"
] | permissive | leanprover/vscode-lean4 | 8bcf7f06867b3c1d42007fe6da863a7a17444dbb | 6ef0bfa668bdeaad0979e6df10551d42fcc01094 | refs/heads/master | 1,692,247,771,767 | 1,691,608,804,000 | 1,691,608,804,000 | 325,845,305 | 64 | 24 | Apache-2.0 | 1,694,176,429,000 | 1,609,435,614,000 | TypeScript | UTF-8 | Lean | false | false | 113 | lean | import Test.Version
def main : IO Unit :=
IO.println s!"Hello: {getLeanVersion}"
#eval main
#eval IO.appPath |
46eee1d8db6ddc6b19719272c3823e9701c003be | 87a08a8e9b222ec02f3327dca4ae24590c1b3de9 | /src/topology/uniform_space/basic.lean | 3689b3ad799e53c09c41fe676ae8428ce5c01c42 | [
"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 | 42,148 | 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 uniform spaces.
Uniform spaces are a generalization of metric spaces and topological groups. Many concepts directly
generaliz... |
b7a0a5d58789534482d4b296e9f6c4339d9506cc | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/data/rat/basic.lean | 29ad7db2cf8513c07aff73fb3c124e3c8c07a3f7 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 24,803 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import
data.nat.gcd
data.pnat.basic data.int.sqrt data.equiv.encodable
algebra.group algebra.ordered_group algebra.group_power
algebra.euclide... |
15858b6b77408296cecd891d8424820975153e8a | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/run/e1.lean | a3496d42b2ef33a8522965b6475516c478910117 | [
"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 | 329 | lean | definition Prop [inline] : Type.{1} := Type.{0}
variable eq : forall {A : Type}, A → A → Prop
variable N : Type.{1}
variables a b c : N
infix `=`:50 := eq
check a = b
variable f : Prop → N → N
variable g : N → N → N
precedence `+`:50
infixl + := f
infixl + := g
check a + b + c
variable p : Prop
check p + a + b + c
|
2cc44338acbcf134cb009d2d5eaadb659584ec16 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/linear_algebra/affine_space/affine_subspace.lean | 9f7268b4262b269a1f0ed1cc2f851e8d10598f13 | [
"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 | 45,070 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.affine_space.basic
import linear_algebra.tensor_product
import data.set.intervals.unordered_interval
/-!
# Affine spaces
This file defines affine ... |
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