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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2435597d9e53d00397bd79e9a3f4dbfee4642c1f | 95dcf8dea2baf2b4b0a60d438f27c35ae3dd3990 | /src/topology/instances/nnreal.lean | 9ea710aa3e6b6baef9aa93e5ce22fae543b045e0 | [
"Apache-2.0"
] | permissive | uniformity1/mathlib | 829341bad9dfa6d6be9adaacb8086a8a492e85a4 | dd0e9bd8f2e5ec267f68e72336f6973311909105 | refs/heads/master | 1,588,592,015,670 | 1,554,219,842,000 | 1,554,219,842,000 | 179,110,702 | 0 | 0 | Apache-2.0 | 1,554,220,076,000 | 1,554,220,076,000 | null | UTF-8 | Lean | false | false | 3,976 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
Nonnegative real numbers.
-/
import data.real.nnreal topology.instances.real topology.algebra.infinite_sum
noncomputable theory
open set topological_space metric
names... |
5803a13bcbf792870c510d514a7a6e5a20f00ca0 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /tests/lean/extra/num_norm1.lean | 422a19632ee38e07b18499e92771baa10a3e4591 | [
"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 | 8,640 | lean | import algebra.numeral data.real
open algebra real
/-
variable {A : Type}
variable [s : linear_ordered_field A]
include s-/
notation `A` := real
example : (-1 :A) * 1 = -1 := by norm_num
example : (-2 :A) * 1 = -2 := by norm_num
example : (-2 :A) * -1 = 2 := by norm_num
example : (-2 :A) * -2 = 4 := by norm_num
exam... |
8143c39258fd1e87f6f7058e05036cef32c6c4fa | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Init/Control/Basic.lean | b242bbd8dfd402c909c11dcd9e3f79d183ee79d7 | [
"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 | 3,628 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura, Sebastian Ullrich
-/
prelude
import Init.Core
universes u v w
@[reducible] def Functor.mapRev {f : Type u → Type v} [Functor f] {α β : Type u} : f α → (α → β... |
1ab7281cdda2bc110bc574d244619cd599d41d45 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/equiv/list.lean | e70148bb51d68c2f5c85b5b1ded8279b3e7c3a23 | [
"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 | 10,322 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Additional equiv and encodable instances for lists, finsets, and fintypes.
-/
import data.equiv.denumerable
import data.finset.sort
open nat list
namespace encodable
v... |
b6c8f48843581e287ac4c32f859ec092b1091fc4 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/measure_theory/constructions/borel_space.lean | af3d4e86e00fc18a01139f719687165bc80ac03b | [
"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 | 68,520 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Yury Kudryashov
-/
import measure_theory.function.ae_measurable_sequence
import analysis.complex.basic
import analysis.normed_space.finite_dimension
import topology.G_d... |
b850ab57552566cc4e5b348df91ee70b1808f5c7 | 02fbe05a45fda5abde7583464416db4366eedfbf | /library/init/data/int/basic.lean | c43c37a4b8bf36a99a778541541ba3206b63cd07 | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 23,225 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
The integers, with addition, multiplication, and subtraction.
-/
prelude
import init.data.nat.lemmas init.data.nat.gcd
open nat
/- the type, coercions, and notation -/
... |
f1c4c6006bc1521ffc3bc1daba6df3c08c67a7ae | e09201d437062e1f95e6e5360aab0c9f947901aa | /src/regular/dfa_to_regex.lean | 8da075a5837c9a4b3a984243e6599a4c36ce971c | [] | no_license | VArtem/lean-regular-languages | 34f4b093f28ef2f09ba7e684e642a0f97c901560 | e877243188253d0ac17ccf0ae2da7bf608686ff0 | refs/heads/master | 1,683,590,111,306 | 1,622,307,234,000 | 1,622,307,234,000 | 284,232,653 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,993 | lean | import tactic
import languages.basic
import languages.star
import regular.regex
import automata.dfa
import data.set.basic
import data.finset.basic
import data.finset.fold
import data.finset.lattice
import data.finset.order
import data.fintype.basic
import data.set.finite
open languages regex DFA finset list
namespace... |
3cc28f31d27781412bc70f40756fe6f809caee26 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/data/int/basic.lean | af13ee87e72df49c1eb2db0ee206a874684851b9 | [
"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 | 25,796 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Jeremy Avigad
The integers, with addition, multiplication, and subtraction. The representation of the integers is
chosen to compute efficiently.
To faciliate prov... |
3127c483cd4a3a1b02d6bec670e945134e663e60 | 6dacdff2020860f2468bb8dacf344e6b043d6a78 | /love/src/demo_gptf.lean | 0ed4569bd186a3dd18119257217ae2bad74713ae | [] | no_license | alexjbest/talks | 514ca57af312a14cf68c30efa1c7228294edc190 | 84976b4329ea768c754da72cc15d5ce29332466d | refs/heads/master | 1,686,993,465,308 | 1,686,315,975,000 | 1,686,315,975,000 | 16,347,963 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 170 | lean | import tactic.gptf
lemma my_lemma {α} (a : α) : a = a :=
begin
gptf {n := 32, temp := 1.0} -- this will query the server and return a set of 'try this' commands.
end |
e4fb05a77039ce611e2bbb60825454d0732da14b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/hom/non_unital_alg.lean | 1c82398d8a8a311bc86b4fa8d15ea83b46cef35a | [
"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 | 10,063 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash
-/
import algebra.algebra.basic
/-!
# Morphisms of non-unital algebras
This file defines morphisms between two types, each of which carries:
* an addition,
* an additive z... |
2c3c837ea47d0a652ec11d57d02bfe242ce038d4 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/box_integral/divergence_theorem.lean | c23bc769cc82e49edaf90368db54b1f6d907f78e | [
"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 | 16,446 | 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
/-!
# Divergence integral for Henstock-Kurzweil ... |
8ce26f5082743bbeb8647e5cb2971106401e26b1 | e514e8b939af519a1d5e9b30a850769d058df4e9 | /src/tactic/rewrite_search/discovery/collect.lean | 2579c8ddf9bb94b9fa978b82b82b5bb4bbfedebc | [] | no_license | semorrison/lean-rewrite-search | dca317c5a52e170fb6ffc87c5ab767afb5e3e51a | e804b8f2753366b8957be839908230ee73f9e89f | refs/heads/master | 1,624,051,754,485 | 1,614,160,817,000 | 1,614,160,817,000 | 162,660,605 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,028 | lean | import tactic.rewrite_search.core.common
import .types
import .screening
import .bundle
import .suggest
import .collector
import .common
open tactic
universe u
namespace tactic.rewrite_search.discovery
open tactic.rewrite_search
-- TODO trace only when we have success.
-- TODO add configurable "persistence"
meta... |
f870a8fc6331f8695925fae6b6d14c16581c0c07 | 367134ba5a65885e863bdc4507601606690974c1 | /src/logic/function/iterate.lean | ee3614fd7429ca8a299bd9f7b7ee24410d35d652 | [
"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 | 5,300 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import logic.function.conjugate
/-!
# Iterations of a function
In this file we prove simple properties of `nat.iterate f n` a.k.a. `f^[n]`:
* `iterate_zero`, `ite... |
caf31e23a2a86c9f795afd2098fd30777432a88d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/uniform_space/uniform_convergence_auto.lean | fba60a3f7162991cb85229cb705d1ace4ee7d12b | [] | 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 | 20,122 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.uniform_space.basic
import Mathlib.PostPort
universes u v u_1 w
namespace... |
c367ff9c55d042875deb7cbc7b825f56f2537b6d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/331.lean | c3d13b8e99f6ff3cfc1d39939f89ae77beecc0fe | [
"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 | 171 | lean | structure Foo where
foo : Nat
def baz {x : _} := Foo.mk x -- works fine
example {x : _} := Foo.mk x
def qux {x : _} : Foo := Foo.mk x
example {x : _} : Foo := Foo.mk x
|
78352e149ba1c371099c677455dc9493e763e73b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/analysis/topology_auto.lean | a79f4636b0c3dd5f5d8e342efaf32a20588d29c1 | [] | 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 | 8,425 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Computational realization of topological spaces (experimental).
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.bases
import Math... |
d5fd0611ff5cf10f55ac4d70903026a2c9772bfd | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/tactic/doc_commands.lean | 3fd0389491b8af41f1099ac98e0fe27a40400cd9 | [
"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 | 17,320 | lean | /-
Copyright (c) 2020 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis
-/
import tactic.fix_reflect_string
/-!
# Documentation commands
We generate html documentation from mathlib. It is convenient to collect lists of tactics, commands,... |
e12678ec9d139d75b074201d257128f541d9be1a | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/multiset/dedup.lean | 2373d990007364b8669839e04aae79ca4a179d8c | [
"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 | 3,328 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import data.multiset.nodup
/-!
# Erasing duplicates in a multiset.
-/
namespace multiset
open list
variables {α β : Type*} [decidable_eq α]
/-! ### dedup -/
/-- ... |
09026c65406a1feeaf90342c73aa144b4ab45ccd | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/linear_algebra/basis.lean | be833c1cec027bdf31d2a7a3bf8d3acb993ec72c | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 56,537 | 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, Alexander Bentkamp
-/
import linear_algebra.finsupp
import linear_algebra.projection
import order.zorn
import data.fintype.card
import data.finset.order... |
56cec46abe46b16b8bef17e6791eb4adfc8ab0cc | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Parser/Extra.lean | d0dd0a35abec92e34ed74476d1ecd9de8113af2c | [
"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 | 7,398 | 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.Extension
-- necessary for auto-generation
import Lean.PrettyPrinter.Parenthesizer
import Lean.PrettyPrinter.Formatter... |
8de7304966d4823620419bf58bd165964acf74a1 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/int/cast/defs.lean | 5dedeb0a57e154f1fa9ab16e8a51db256588436d | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 5,102 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Gabriel Ebner
-/
import data.nat.cast.defs
/-!
# Cast of integers
This file defines the *canonical* homomorphism from the integers into an
additive group with a one (... |
7f4e1f05349ca6bc22490e14e2b9305166dfa360 | 41ebf3cb010344adfa84907b3304db00e02db0a6 | /uexp/src/uexp/rules/aggregateProjectMerge.lean | f2b442155e11d8e07c813ddc2bc6a84aa6370bfb | [
"BSD-2-Clause"
] | permissive | ReinierKoops/Cosette | e061b2ba58b26f4eddf4cd052dcf7abd16dfe8fb | eb8dadd06ee05fe7b6b99de431dd7c4faef5cb29 | refs/heads/master | 1,686,483,953,198 | 1,624,293,498,000 | 1,624,293,498,000 | 378,997,885 | 0 | 0 | BSD-2-Clause | 1,624,293,485,000 | 1,624,293,484,000 | null | UTF-8 | Lean | false | false | 1,616 | lean | import ..extra_constants
import ..sql
import ..u_semiring
import ..tactics
import ..meta.cosette_tactics
open SQL
open Proj
open Pred
open Expr
theorem rule :
forall (Γ scm_emp : Schema)
(rel_emp : relation scm_emp)
(emp_empno : Column datatypes.int scm_emp)
(emp_ename : Column da... |
6c6e91f1e35caf60b23f70b197c61e800808f1c7 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/real/ereal.lean | 3d989b14c8591959547febb0a9f85ca173ee770e | [
"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 | 19,202 | lean | /-
Copyright (c) 2019 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import data.real.basic
import data.real.ennreal
/-!
# The extended reals [-∞, ∞].
This file defines `ereal`, the real numbers together with a top and bottom element,
... |
c5bd057fd6e7d845f06cd05e298ac0d4358e0880 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/category/Group/adjunctions.lean | 2167941a3068acc09a941daf0e077f8be1ab4a70 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 4,033 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Johannes Hölzl
-/
import algebra.category.Group.basic
import group_theory.free_abelian_group
/-!
# Adjunctions regarding the category of (abelian) groups
This file co... |
df4603a8025fa537558bc17e6c94f5ce3ada1b1d | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/category/applicative.lean | ce1af4d2be1408bd945e55105adf6db79135dda3 | [
"Apache-2.0"
] | permissive | leanprover-fork/mathlib-backup | 8b5c95c535b148fca858f7e8db75a76252e32987 | 0eb9db6a1a8a605f0cf9e33873d0450f9f0ae9b0 | refs/heads/master | 1,585,156,056,139 | 1,548,864,430,000 | 1,548,864,438,000 | 143,964,213 | 0 | 0 | Apache-2.0 | 1,550,795,966,000 | 1,533,705,322,000 | Lean | UTF-8 | Lean | false | false | 5,887 | lean | /-
Copyright (c) 2017 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Simon Hudon
Instances for identity and composition functors
-/
import category.functor
universe variables u v w
section lemmas
open function
variables {F : Type u → Type v}
variables... |
0719c83d5c793728cf2b70f7227c4e968bf7ebb7 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/Lake/Config/Package.lean | 5e1a59d729bdd9fea83097d12e191eb86251aa45 | [
"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 | 12,895 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich, Mac Malone
-/
import Lake.Config.Opaque
import Lake.Config.LeanLibConfig
import Lake.Config.LeanExeConfig
import Lake.Config.ExternLibConfig
im... |
7dc8312858f5aa32967683954b9dcb6d80830104 | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/adjunction/limits.lean | ee665e749cb8457219a17e24746c4631b3715e60 | [
"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 | 11,027 | 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.creates
open opposite
namespace category_theory.adjunction
open category_theory
open... |
5f75729e8d7a9341c6532a56cef40738f89491d0 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Elab/Notation.lean | 113f2d0c55978534d47645a53851abffbc893b85 | [
"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 | 6,909 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Syntax
import Lean.Elab.AuxDef
import Lean.Elab.BuiltinNotation
namespace Lean.Elab.Command
open Lean.Syntax
open Lean.Parser.Term hiding ... |
a04b965317c2ff4ad805ceb199938728d0844e23 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/topology/algebra/localization.lean | 00b65f616e8dbd23124c2a0c2eda033e15598320 | [
"Apache-2.0"
] | permissive | hikari0108/mathlib | b7ea2b7350497ab1a0b87a09d093ecc025a50dfa | a9e7d333b0cfd45f13a20f7b96b7d52e19fa2901 | refs/heads/master | 1,690,483,608,260 | 1,631,541,580,000 | 1,631,541,580,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,287 | lean | /-
Copyright (c) 2021 María Inés de Frutos-Fernández. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: María Inés de Frutos-Fernández
Localization of topological rings.
-/
import topology.algebra.ring
import ring_theory.localization
/-!
# Localization of topological r... |
c92f71da7e14d9d5b6519bdd8ff4c4cdf49db5a2 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/matrix/charpoly/coeff.lean | f92caae53968159d01e2eeb814cda6a5a776e2ba | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 8,806 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark
-/
import data.polynomial.expand
import linear_algebra.matrix.charpoly.basic
/-!
# Characteristic polynomials
We give methods for computing ... |
2c108a1c91b9dd36eb8c551694687ac2396d2d3b | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/combinatorics/colex.lean | 837914171e729bb3ab159752526102a63ef755d0 | [
"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 | 15,029 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta, Alena Gusakov
-/
import data.finset
import data.fintype.basic
import algebra.geom_sum
/-!
# Colex
We define the colex ordering for finite sets, and give a couple of impor... |
55619d581e1df0063ce80019001196583301b24b | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/import_middle.lean | 2e04148c1af059b8894196f0ac0b5ff0867e1c92 | [
"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 | 50 | lean | import data.set
print "hello"
import data.tuple
|
12a90f31a18c27439bd7b3888fc5c185a1431bf1 | 6b10c15e653d49d146378acda9f3692e9b5b1950 | /examples/logic/unnamed_269.lean | 7becfddb2ea9cc60d8ccab7666ef6c7627bcf691 | [] | no_license | gebner/mathematics_in_lean | 3cf7f18767208ea6c3307ec3a67c7ac266d8514d | 6d1462bba46d66a9b948fc1aef2714fd265cde0b | refs/heads/master | 1,655,301,945,565 | 1,588,697,505,000 | 1,588,697,505,000 | 261,523,603 | 0 | 0 | null | 1,588,695,611,000 | 1,588,695,610,000 | null | UTF-8 | Lean | false | false | 125 | lean | variables A B : Prop
-- BEGIN
example : A ∧ B → B ∧ A :=
begin
intro h,
split,
apply h.2,
apply h.1
end
-- END |
ef9b16a31e9e5006d3e9d3d3a09bb696abf95b5b | 5756a081670ba9c1d1d3fca7bd47cb4e31beae66 | /Mathport/Util/Json.lean | 996bc2be066a64ec6719a9ba0fdf546d45b97523 | [
"Apache-2.0"
] | permissive | leanprover-community/mathport | 2c9bdc8292168febf59799efdc5451dbf0450d4a | 13051f68064f7638970d39a8fecaede68ffbf9e1 | refs/heads/master | 1,693,841,364,079 | 1,693,813,111,000 | 1,693,813,111,000 | 379,357,010 | 27 | 10 | Apache-2.0 | 1,691,309,132,000 | 1,624,384,521,000 | Lean | UTF-8 | Lean | false | false | 1,387 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Daniel Selsam
-/
import Lean
import Mathport.Util.String
open Lean Lean.Json
open System (FilePath)
instance : FromJson FilePath where
fromJson? json := do
... |
49e94e8e424c5ba6433db8cb9457accc8e413a9a | 92b50235facfbc08dfe7f334827d47281471333b | /tests/lean/run/tactic28.lean | 0f1e51c7f1063e7e78146ca7c1aab728f98adf5b | [
"Apache-2.0"
] | permissive | htzh/lean | 24f6ed7510ab637379ec31af406d12584d31792c | d70c79f4e30aafecdfc4a60b5d3512199200ab6e | refs/heads/master | 1,607,677,731,270 | 1,437,089,952,000 | 1,437,089,952,000 | 37,078,816 | 0 | 0 | null | 1,433,780,956,000 | 1,433,780,955,000 | null | UTF-8 | Lean | false | false | 921 | lean | import logic data.num
open tactic inhabited
namespace foo
inductive sum (A : Type) (B : Type) : Type :=
| inl : A → sum A B
| inr : B → sum A B
theorem inl_inhabited {A : Type} (B : Type) (H : inhabited A) : inhabited (sum A B)
:= inhabited.destruct H (λ a, inhabited.mk (sum.inl B a))
theorem inr_inhabited (A : Ty... |
d8e77c5144739971a76266b9e4af935f733b1b8d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/tactic/tauto.lean | 7bd627e1dec77278a0c7214ff3aa36596cf97be3 | [
"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 | 11,648 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import tactic.hint
namespace tactic
open expr
open tactic.interactive ( casesm constructor_matching )
/--
find all assumptions of the shape `¬ (p ∧ q)` or `¬ (p ∨ q)` ... |
12e1fbe4f59b187722e0f2da47e809a30e27fbfd | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/sums/associator.lean | e0c088666cba479d5dbdba685599372a6de3ea80 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 3,203 | 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.sums.basic
/-#
The associator functor `((C ⊕ D) ⊕ E) ⥤ (C ⊕ (D ⊕ E))` and its inverse form an equivalence.
-/
universes v u
open category_th... |
53adfe30b40baa7f99eb52ace5f990fac12c97f9 | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/propositions/predicates_equality.lean | b179d78cc16aad44025cde75a3fd9953dcdfb1d9 | [] | no_license | kevinsullivan/complogic-s21 | 7c4eef2105abad899e46502270d9829d913e8afc | 99039501b770248c8ceb39890be5dfe129dc1082 | refs/heads/master | 1,682,985,669,944 | 1,621,126,241,000 | 1,621,126,241,000 | 335,706,272 | 0 | 38 | null | 1,618,325,669,000 | 1,612,374,118,000 | Lean | UTF-8 | Lean | false | false | 5,780 | lean |
import inClassNotes.propositions.propositions_as_types_the_idea
/-
It's now an easy jump to using type
families indexed by two types to represent
predicates with two arguments. For example,
here's an equality predicate, representing
an equality relation, on terms of type day.
-/
open day
inductive eq_day : day → da... |
43f06eb3449ee0a493b025ecf2ddc12b791a429a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/limits/shapes/regular_mono_auto.lean | 51ac59a457974a23fe17df8c9d23d5a3b48fdd1c | [] | 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 | 8,058 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.limits.preserves.basic
import Mathlib.category_theory.limits.... |
e915fa2a4a79ae0476bbd32a1945979abe480fa8 | 586535ff9853f5b85dc5fdeb5b78f1ad2d573a6e | /src/type_system.lean | 4c9933a9e5bf2845966bcf08a9661feb15029d51 | [
"Apache-2.0"
] | permissive | Kha/rc-correctness | fede4ae228c5f04985cf332e718a5a433230b150 | be5a521f1b0528ccbc685619b265cd11ea854edf | refs/heads/master | 1,595,967,325,275 | 1,568,889,756,000 | 1,568,889,756,000 | 209,523,947 | 0 | 0 | Apache-2.0 | 1,568,888,337,000 | 1,568,888,336,000 | null | UTF-8 | Lean | false | false | 4,660 | lean | import ast
namespace rc_correctness
@[derive decidable_eq]
inductive ob_lin_type : Type
| 𝕆 | 𝔹
@[derive decidable_eq]
inductive lin_type : Type
| ob : ob_lin_type → lin_type
| ℝ : lin_type
instance ob_lin_type_to_lin_type : has_coe ob_lin_type lin_type := ⟨lin_type.ob⟩
@[simp] lemma coe_eq_coe {t1 t2 : o... |
26381793e99ebbd998c3d760834dbe1e12966b69 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/affine_space/finite_dimensional.lean | f782f009cb68a5435e66dc02558310a4233ca2e8 | [
"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 | 16,395 | 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.independent
import linear_algebra.finite_dimensional
/-!
# Finite-dimensional subspaces of affine spaces.
This file provides a few re... |
162a5ef5e70496e458150ccc0bd05e280a6d9893 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/mvar2.lean | 2465c8d5c2fc6fdfa9aaabb07ed9a9726433198c | [
"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 | 1,447 | lean | import Lean.MetavarContext
new_frontend
open Lean
def check (b : Bool) : IO Unit :=
«unless» b (throw $ IO.userError "error")
def f := mkConst `f []
def g := mkConst `g []
def a := mkConst `a []
def b := mkConst `b []
def c := mkConst `c []
def b0 := mkBVar 0
def b1 := mkBVar 1
def b2 := mkBVar 2
def u := mkLevelPa... |
35a9ed3931634d4b8b70a8f4f918ca2106c389ed | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/order/monoid/canonical/defs.lean | ddce37a99ab5118f81f7305f4bddc8ae448a2191 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 10,574 | 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 order.bounded_order
import order.min_max
import algebra.ne_zero
import algebra.order.monoid.defs
/-!
# Canoni... |
20c978eb26890b389fe4d65cc2510ac31fb290e3 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/tactic/basic.lean | 222f973e580b242c283bc6792a5d22a707236631 | [
"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 | 414 | lean | import
tactic.alias
tactic.cache
tactic.converter.interactive
tactic.core
tactic.doc_blame
tactic.ext
tactic.generalize_proofs
tactic.interactive
tactic.library_search
tactic.lift
tactic.mk_iff_of_inductive_prop
tactic.push_neg
tactic.rcases
tactic.replacer
tactic.restate_axiom
tactic.re... |
bf40f0f2a04f6091f1a2b2ea5cfcd22e3df45882 | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/category_theory/instances/Top/adjunctions.lean | f8dca5472c67cf1fec32e8ac1768e4e0f7b86d52 | [
"Apache-2.0"
] | permissive | fpvandoorn/mathlib | b21ab4068db079cbb8590b58fda9cc4bc1f35df4 | b3433a51ea8bc07c4159c1073838fc0ee9b8f227 | refs/heads/master | 1,624,791,089,608 | 1,556,715,231,000 | 1,556,715,231,000 | 165,722,980 | 5 | 0 | Apache-2.0 | 1,552,657,455,000 | 1,547,494,646,000 | Lean | UTF-8 | Lean | false | false | 943 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Patrick Massot, Mario Carneiro
import category_theory.instances.Top.basic
import category_theory.adjunction
universe u
open category_theory
open category_theory.instances
nam... |
29e5e76c814d00d2f2ad08eb6b3b83a96e8b80e1 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch2/ex0801.lean | f6217476304cb6579f4e72828360f8fa30bd6320 | [] | no_license | Ailrun/Theorem_Proving_in_Lean | ae6a23f3c54d62d401314d6a771e8ff8b4132db2 | 2eb1b5caf93c6a5a555c79e9097cf2ba5a66cf68 | refs/heads/master | 1,609,838,270,467 | 1,586,846,743,000 | 1,586,846,743,000 | 240,967,761 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 352 | lean | namespace hidden
universe u
constant list : Type u → Type u
constant cons : Π α : Type u, α → list α → list α
constant nil : Π α : Type u, list α
constant head : Π α : Type u, list α → α
constant tail : Π α : Type u, list α → list α
constant append : Π α : Type u, list α → list α → list α
end hidden
|
b0b0a8c8479330a11d24bcf7423363d34f073c3f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/meta/smt/ematch.lean | 952f36990a7d8c465a723fe066feefd462166b76 | [] | 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 | 1,201 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.meta.smt.congruence_closure
import Mathlib.Lean3Lib.init.meta.attribute
import Mathlib.Lean3Lib.init.met... |
53cb7bc7b3127bc259e6a4eefc80168e6128580a | 976d2334b51721ddc405deb2e1754016d454286e | /src/QQuiz/2012_q4.lean | 5ee5f45ff289c185d02dd55fcb5e9649db023999 | [] | no_license | kbuzzard/lean-at-MC2020 | 11bb6ac9ec38a6caace9d5d9a1705d6794d9f477 | 1f7ca65a7ba5cc17eb49f525c02dc6b0e65d6543 | refs/heads/master | 1,668,496,422,317 | 1,594,131,838,000 | 1,594,131,838,000 | 277,877,735 | 0 | 0 | null | 1,594,142,006,000 | 1,594,142,005,000 | null | UTF-8 | Lean | false | false | 779 | lean | import tactic
import data.real.basic
noncomputable theory
open_locale classical
-- Let a be a rational number with 0 < a < 1.
-- A lollipop in the xy-plane with base (a,0) consists of
---- a line segment from (a,0) to some point (a,b) with b > 0,
---- together with a filled in disc of radius less than b, centered ... |
800b6785ec4eedd6128e4e635656c06b3c3cf8b2 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/probability/integration.lean | 25f55ffae32319eef026fb6d90a25af3f0570fd7 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 13,732 | lean | /-
Copyright (c) 2021 Martin Zinkevich. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Martin Zinkevich, Vincent Beffara
-/
import measure_theory.integral.set_integral
import probability.independence
/-!
# Integration in Probability Theory
Integration results for ind... |
a041b7c659ad0175a47730bf54e6192a0df4b409 | e61a235b8468b03aee0120bf26ec615c045005d2 | /src/Init/Lean/Delaborator.lean | 6d1e159663a37a7824a1a4d881a37d53d2094d84 | [
"Apache-2.0"
] | permissive | SCKelemen/lean4 | 140dc63a80539f7c61c8e43e1c174d8500ec3230 | e10507e6615ddbef73d67b0b6c7f1e4cecdd82bc | refs/heads/master | 1,660,973,595,917 | 1,590,278,033,000 | 1,590,278,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,785 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
-/
/-!
The delaborator is the first stage of the pretty printer, and the inverse of the
elaborator: it turns fully elaborated `Expr` core terms back into surf... |
35ca2f4fb723c65ff7b8ac179d2c7724cc22064d | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/measure_theory/l1_space.lean | 65ed26f4013c6618ab8b50406ad1724977e1d534 | [
"Apache-2.0"
] | permissive | aestriplex/mathlib | 77513ff2b176d74a3bec114f33b519069788811d | e2fa8b2b1b732d7c25119229e3cdfba8370cb00f | refs/heads/master | 1,621,969,960,692 | 1,586,279,279,000 | 1,586,279,279,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,769 | 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.ae_eq_fun
/-!
# Integrable functions and `L¹` space
In the first part of this file, the predicate `integrable` is defined and basic properties ... |
31df59789ee1416d1fd9eb5c286ebfc97b36842d | 4f643cce24b2d005aeeb5004c2316a8d6cc7f3b1 | /src/o_minimal/tame/basic.lean | 8b7a15d8cd0b6ef0ebc47f677633cb428388486e | [] | no_license | rwbarton/lean-omin | da209ed061d64db65a8f7f71f198064986f30eb9 | fd733c6d95ef6f4743aae97de5e15df79877c00e | refs/heads/master | 1,674,408,673,325 | 1,607,343,535,000 | 1,607,343,535,000 | 285,150,399 | 9 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,989 | lean | import for_mathlib.boolean_subalgebra
import for_mathlib.finite
import for_mathlib.order
import o_minimal.dunlo
/- Basic properties of tame sets. A tame set is a subset of a DUNLO
which is a finite union of points and intervals. They can also be described
as the boolean subalgebra generated by half-infinite intervals.... |
0536a90f9d97ccade6d03793143034ad20911164 | e6b8240a90527fd55d42d0ec6649253d5d0bd414 | /src/tactic/lint.lean | f24d1cea3a20e7d9d096203e764fe22e3cec85ab | [
"Apache-2.0"
] | permissive | mattearnshaw/mathlib | ac90f9fb8168aa642223bea3ffd0286b0cfde44f | d8dc1445cf8a8c74f8df60b9f7a1f5cf10946666 | refs/heads/master | 1,606,308,351,137 | 1,576,594,130,000 | 1,576,594,130,000 | 228,666,195 | 0 | 0 | Apache-2.0 | 1,576,603,094,000 | 1,576,603,093,000 | null | UTF-8 | Lean | false | false | 24,991 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn, Robert Y. Lewis
-/
import tactic.core
/-!
# lint command
This file defines the following user commands to spot common mistakes in the code.
* `#lint`: check all dec... |
c434237376dda2d6b676e2347f24cce820c226b4 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/itac.lean | 4fce0c2114835ea76344cfc7b1d771439e8ddfe5 | [
"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 | 361 | lean | axiom addz {A : Type} [has_add A] [has_zero A] : ∀ a : A, a + 0 = a
example {A : Type} [has_add A] [has_zero A] (a b c : A) : (a + 0) + (b + 0) + (c + 0) = a + b + c :=
begin
repeat {rw addz}
end
example {A : Type} [has_add A] [has_zero A] (a b c : A) : (a + 0) + (b + 0) + (c + 0) = a + b + c :=
begin
repeat {rw ... |
010ce9d04dbf859da509a4b7ecfc04108f484980 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/set_theory/schroeder_bernstein.lean | a3a80ca27deb203ab2aa2ff6332480eccc2a41ac | [
"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 | 5,075 | 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
The Schröder-Bernstein theorem, and well ordering of cardinals.
-/
import order.fixed_points
import order.zorn
open set classical
open_locale classical... |
ecd985148268f0cdbf2ba518a8bb4bfa92f6308f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/tactic/omega/int/form.lean | 45ea52ad6b193e1259cfde033add5a47aa581fe5 | [
"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 | 4,170 | lean | /-
Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Seul Baek
-/
/-
Linear integer arithmetic formulas in pre-normalized form.
-/
import tactic.omega.int.preterm
namespace omega
namespace int
/-- Intermediate shadow syntax for LNA formul... |
eb7133c84e0387d942ad9a825a685aca701c62a8 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/hott/len_eq.hlean | a3a4ea436f3c0f880801130f10ebb51a7fd25e7e | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 2,974 | hlean | import init.ua
open nat unit equiv is_trunc
inductive vector (A : Type) : nat → Type :=
| nil {} : vector A zero
| cons : Π {n}, A → vector A n → vector A (succ n)
open vector
notation a :: b := cons a b
definition const {A : Type} : Π (n : nat), A → vector A n
| zero a := nil
| (succ n) a := a :: const n a
d... |
b5a554b7b6e63351b902c338b89ee07342f95bc0 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/group_theory/free_group.lean | fcca4d3aee03eb22cfdaafac0b6637245a25b60e | [
"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 | 36,036 | 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 data.fintype.basic
import group_theory.subgroup.basic
/-!
# Free groups
This file defines free groups over a type. Furthermore, it is shown that the free group constru... |
10aae618931ed9b90c6a5d0e86dd6d55be8990ff | 94e33a31faa76775069b071adea97e86e218a8ee | /src/category_theory/limits/shapes/finite_products.lean | 0e6f79c7a08c2b9eaa069ea978bbabf722485056 | [
"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 | 3,484 | 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.binary_products
import category_theory.limits.shapes.finite_limits
import category_theory.limits.shapes.products
import category_... |
ca3257ebebe1f83916111b35d7b93b52f7e216f9 | 83c8119e3298c0bfc53fc195c41a6afb63d01513 | /tests/lean/run/conv_tac1.lean | ab9b4429090b5e3827ef2405513adab0486e157c | [
"Apache-2.0"
] | permissive | anfelor/lean | 584b91c4e87a6d95f7630c2a93fb082a87319ed0 | 31cfc2b6bf7d674f3d0f73848b842c9c9869c9f1 | refs/heads/master | 1,610,067,141,310 | 1,585,992,232,000 | 1,585,992,232,000 | 251,683,543 | 0 | 0 | Apache-2.0 | 1,585,676,570,000 | 1,585,676,569,000 | null | UTF-8 | Lean | false | false | 3,509 | lean | local attribute [simp] add_comm add_left_comm
example (a b : nat) : (λ x, a + x) 0 = b + 1 + a :=
begin
conv in (_ + 1) { change nat.succ b },
guard_target (λ x, a + x) 0 = nat.succ b + a,
admit
end
def Div : nat → nat → nat | x y :=
if h : 0 < y ∧ y ≤ x
then
have x - y < x, from sorry,
Div (x - y) y + 1
els... |
288c94f2fe7caa512a8c96f296651b3655f2f655 | 5c5878e769950eabe897ad08485b3ba1a619cea9 | /src/categories/universal/cones.lean | 5f8220a9a5ce0c2fb49f46722b1d60ceaed2ee0f | [
"Apache-2.0"
] | permissive | semorrison/lean-category-theory-pr | 39dc2077fcb41b438e61be1685e4cbca298767ed | 7adc8d91835e883db0fe75aa33661bc1480dbe55 | refs/heads/master | 1,583,748,682,010 | 1,535,111,040,000 | 1,535,111,040,000 | 128,731,071 | 1 | 2 | Apache-2.0 | 1,528,069,880,000 | 1,523,258,452,000 | Lean | UTF-8 | Lean | false | false | 7,185 | 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 category_theory.functor
import .initial
open category_theory
open category_theory.initial
namespace category_theory.universal
universes ... |
962e7b6752a467cfd1b96ec8838b7feaeb75949f | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/category/Quiv.lean | 423cb7d97b5a0908199be2f13cb450afa51dc731 | [
"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 | 3,178 | 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.adjunction.basic
import category_theory.category.Cat
import category_theory.path_category
/-!
# The category of quivers
The category of (bund... |
fbbec63aea7e1a854e9e0a8ab0f9781875585b77 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/group_theory/specific_groups/quaternion.lean | 0af5ef908c007dc28f6beab33661b43f1481ebff | [
"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 | 8,917 | lean | /-
Copyright (c) 2021 Julian Kuelshammer. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Julian Kuelshammer
-/
import data.zmod.basic
import data.nat.basic
import tactic.interval_cases
import group_theory.specific_groups.dihedral
import group_theory.specific_groups.cyc... |
3ff7a6913938f11200ee55825b6ab59bfd1ba9c8 | f57749ca63d6416f807b770f67559503fdb21001 | /library/algebra/ordered_field.lean | 756f5afef9044c2b85ff82daa62632c094b08f97 | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 20,407 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis
-/
import algebra.ordered_ring algebra.field
open eq eq.ops
namespace algebra
structure linear_ordered_field [class] (A : Type) extends linear_ordered_ring A, field A
s... |
f77e58973092dda548f51c2fa341401e6d21ffb2 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/run/e1.lean | 1cb094254d1333c7f0e01e6b6d43f8ed77fbed45 | [
"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 | 324 | lean | prelude
definition Prop : Sort.{1} := Sort.{0}
constant eq : forall {A : Type}, A → A → Prop
constant N : Type
constants a b c : N
infix `=`:50 := eq
check a = b
constant f : Prop → N → N
constant g : N → N → N
precedence `+`:50
infixl + := f
infixl + := g
check a + b + c
constant p : Prop
check p + a + b + c
|
231609729c8c7f1788dd3c878116e9e634223129 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/subadditive.lean | 0e8e549093dd37f5b867a52c26ca1ca7170e7c95 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,724 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.instances.real
import order.filter.archimedean
/-!
# Convergence of subadditive sequences
A subadditive sequence `u : ℕ → ℝ` is a sequence sat... |
6df32c69f67e781da52f5f88a899f2fa4bd1bb62 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Compiler/InitAttr.lean | 2b3f6c93b1eb1c2f7cb530b3a4a75a637ccada72 | [
"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 | 5,967 | 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.Elab.InfoTree.Main
namespace Lean
private def getIOTypeArg : Expr → Option Expr
| Expr.app (Expr.const `IO _) arg => some arg
| _ ... |
5e724068c7e976e406063eb563da4a7440c2ee49 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebra/polynomial/big_operators.lean | 885770a970f01900bf88e70a7af16aad25e3748e | [
"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 | 12,414 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark
-/
import data.polynomial.monic
import data.polynomial.ring_division
import tactic.linarith
/-!
# Lemmas for the interaction between polynomials and `∑` and... |
00bd265fcbbfe6b09cd825db5db20b3d046f8de2 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/data/rbtree/insert.lean | ca5b72114652f2c9e40733cbe1d367b3077fd767 | [] | 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 | 23,141 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.Lean3Lib.data.rbtree.find
universes u v
namespace Mathlib
namespace rbnode
... |
4345dfba7c3d18285c623db2f813a7c8be36dd45 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/topology/metric_space/emetric_space.lean | 202540918cb66235764d38eb9c36f20e38875a7d | [
"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 | 45,897 | lean | /-
Copyright (c) 2015, 2017 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Robert Y. Lewis, Johannes Hölzl, Mario Carneiro, Sébastien Gouëzel
-/
import data.nat.interval
import data.real.ennreal
import topology.uniform_space.pi
import topo... |
fe02dbe6e7e402c89a36cc319b344fe60c308c97 | 6df8d5ae3acf20ad0d7f0247d2cee1957ef96df1 | /HW/hw5_higher_order_functions.lean | dae655562f1598817b2e55b23d4cd47eaa2791e4 | [] | no_license | derekjohnsonva/CS2102 | 8ed45daa6658e6121bac0f6691eac6147d08246d | b3f507d4be824a2511838a1054d04fc9aef3304c | refs/heads/master | 1,648,529,162,527 | 1,578,851,859,000 | 1,578,851,859,000 | 233,433,207 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,108 | lean | open list
/-
#1. You are to implement a function
that takes a "predicate" function and a
list and that returns a new list: namely
a list that contains all and only those
elements of the first list for which the
given predicate function returns true.
We start by giving you two predicate
functions. Each takes an argum... |
a1be3c787b5eb69672f43f65e3c08c50cc754d3d | 9b9a16fa2cb737daee6b2785474678b6fa91d6d4 | /src/category_theory/instances/topological_spaces.lean | fd92393ea9ee60da29dab3a3ccb992853d960d07 | [
"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 | 5,127 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Patrick Massot, Scott Morrison, Mario Carneiro
import category_theory.concrete_category
import category_theory.full_subcategory
import category_theory.functor_category
import ca... |
4594ec1053bf00c8e08b4fc9730d288cfc457642 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/order/order_iso.lean | 9fff2b5d009da8f7d1f878205b0df5469737fd30 | [
"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 | 14,253 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import logic.embedding
import data.nat.basic
open function
universes u v w
variables {α : Type*} {β : Type*} {γ : Type*}
{r : α → α → Prop} {s : β → β → Prop} {t ... |
f243f131fe62a1c7a3bc6284124730ed52abba05 | 205f0fc16279a69ea36e9fd158e3a97b06834ce2 | /src/11_Existential_Quantification/00_intro.lean | 22627aba326d9802477491e35c50ce4ccacda4cf | [] | 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 | 16,643 | lean | /- ***********************-/
/- *** ∃ Introduction *** -/
/-************************-/
/-
An existentially quantified
proposition asserts that there
exists *some* value of some type
that makes a given predicate
true. Here's an example.
-/
def anExistsProp :=
∃ m , m + m = 8
/- This proposition asserts that
... |
5ec40c2e3b11e920358d6a9c018161fb821cec7a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/deprecated/subfield.lean | 2c68a30c862e5f800032bc567e44c6b1a83d642f | [
"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 | 6,232 | lean | /-
Copyright (c) 2018 Andreas Swerdlow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andreas Swerdlow
-/
import deprecated.subring
/-!
# Unbundled subfields (deprecated)
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding P... |
1533f3868942178276fa3fa33ce46722b4323348 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/extra/755.hlean | c045817a603957f69e5ef4fb6972651e6ccc226b | [
"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 | 1,743 | hlean | import types.eq types.pi hit.colimit
open eq is_trunc unit quotient seq_colim equiv
axiom mysorry : ∀ {A : Type*}, A
namespace one_step_tr
section
parameters {A : Type*}
variables (a a' : A)
protected definition R (a a' : A) : Type₀ := unit
parameter (A)
definition one_step_tr : Type* := quotient R
parame... |
fafb9508a9101744469f14d920915cc34f6e9c4e | b73bd2854495d87ad5ce4f247cfcd6faa7e71c7e | /src/game/world3/level3.lean | 0a461227079730e87bb9641bb3b715975a8aa5a4 | [] | no_license | agusakov/category-theory-game | 20db0b26270e0c95a3d5605498570273d72f731d | 652dd7e90ae706643b2a597e2c938403653e167d | refs/heads/master | 1,669,201,216,310 | 1,595,740,057,000 | 1,595,740,057,000 | 280,895,295 | 12 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,009 | lean | import category_theory.category.default
universes v u -- The order in this declaration matters: v often needs to be explicitly specified while u often can be omitted
namespace category_theory
variables (C : Type u) [category.{v} C]
--rewrite this
/-
# Category world
## Level 7: Cancellations
With monomorphisms ... |
a52962b49c344fad7ab3f71a2d6ec0175749da74 | 38bf3fd2bb651ab70511408fcf70e2029e2ba310 | /src/analysis/complex/exponential.lean | cac139b2cd26e28d1e1a51e0612c5694619c0bfe | [
"Apache-2.0"
] | permissive | JaredCorduan/mathlib | 130392594844f15dad65a9308c242551bae6cd2e | d5de80376088954d592a59326c14404f538050a1 | refs/heads/master | 1,595,862,206,333 | 1,570,816,457,000 | 1,570,816,457,000 | 209,134,499 | 0 | 0 | Apache-2.0 | 1,568,746,811,000 | 1,568,746,811,000 | null | UTF-8 | Lean | false | false | 74,177 | 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 topology.instances.complex tactic.linarith data.complex.exponential
group_theory.quotient_group topology.metr... |
035706df543a674d03d0cbaa75455ad563c8dae2 | bb31430994044506fa42fd667e2d556327e18dfe | /src/analysis/inner_product_space/basic.lean | fdac512a030767c4f555ddf904b398122f4460c6 | [
"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 | 109,962 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou, Sébastien Gouëzel, Frédéric Dupuis
-/
import algebra.direct_sum.module
import analysis.complex.basic
import analysis.convex.uniform
import analysis.normed_space.completio... |
8dd53aab5eae001e73e844f00166629e2f41f107 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/omega/find_ees.lean | 77427d36fe61b298a9860717cb918514d2454970 | [
"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 | 5,560 | lean | /- Copyright (c) 2019 Seul Baek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Seul Baek
A tactic for finding a sequence of equality
elimination rules for a given set of constraints. -/
import tactic.omega.eq_elim
variables {α β : Type}
open tactic
namespace omega... |
fbd98bfd310b168a13dd24db795f6884ea7b77bd | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebra/star/chsh.lean | c63dcb4fd56bcec65a1c706e3c7929f1e48e2626 | [
"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 | 11,336 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.star.algebra
import algebra.algebra.ordered
import analysis.special_functions.pow
/-!
# The Clauser-Horne-Shimony-Holt inequality and Tsirelson's ineq... |
1140c1d661077056a0db0aa97dfce6248b7f58db | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/polynomial/field_division.lean | 55454f694476b85cb9e2bf25b2312df2b73677fa | [
"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 | 19,811 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import data.polynomial.ring_division
import data.polynomial.derivative
import algebra.gcd_monoid
/-!
# Theory of univaria... |
b82e7f494752eda33123178cfbb70816a0899204 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /library/logic/wf_k.lean | 9c91cc2f65bcad191124c14e1c5ae3912d35f217 | [
"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 | 758 | 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 logic.wf data.nat.basic
namespace well_founded
-- This is an auxiliary definition that useful for generating a new "proof" for (well_founded R)... |
3a693429ffe0e4a9f5a99fd664c78cae2b0e00cb | e151e9053bfd6d71740066474fc500a087837323 | /tests/induction.lean | d3e69a168dc4b7d63bc5b16c7bb80baee4b5eb25 | [
"Apache-2.0"
] | permissive | daniel-carranza/hott3 | 15bac2d90589dbb952ef15e74b2837722491963d | 913811e8a1371d3a5751d7d32ff9dec8aa6815d9 | refs/heads/master | 1,610,091,349,670 | 1,596,222,336,000 | 1,596,222,336,000 | 241,957,822 | 0 | 0 | Apache-2.0 | 1,582,222,839,000 | 1,582,222,838,000 | null | UTF-8 | Lean | false | false | 8,294 | lean | import hott.init
open expr tactic pexpr hott
universes u v
noncomputable theory
axiom sorry' : Π{α : Sort _}, α /- no warnings are generated when using this axiom -/
@[induction] def foo2 {X Y : Type} {P : X × Y → Type} (x : X × Y) (z : Πa b, P ⟨a, b⟩) : P x := sorry'
@[induction] def foo3 {P : ℕ × ℕ → Sort _} (x : ℕ ... |
c5588d685ec0d81185cd5cfc349738566029110d | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_ematch_heq1.lean | 67df52e1b8ca69750babc7ac48e65685b33dfec0 | [
"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 | 248 | lean | import data.nat
open algebra nat
section
open nat
set_option blast.strategy "ematch"
set_option blast.cc.heq true
attribute add.comm [forward]
attribute add.assoc [forward]
example (a b c : nat) : a + b + b + c = c + b + a + b :=
by blast
end
|
5dc041c1a9ff4311e0c20636ce520e8a67af1930 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/data/rbtree/min_max.lean | f816bb54e0c0bbf5c6f0b87f70c4a82ac6a2dd5d | [] | 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 | 1,449 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.Lean3Lib.data.rbtree.basic
universes u
namespace Mathlib
namespace rbnode
... |
bb6c4a6e3f0c778fabd3b69c022c10defed283df | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/topology/homeomorph.lean | 20f2d0e48b7016e02975342752bf36a483f04feb | [
"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 | 20,974 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Patrick Massot, Sébastien Gouëzel, Zhouhang Zhou, Reid Barton
-/
import logic.equiv.fin
import topology.dense_embedding
import topology.support
/-!
# Homeomorphisms
This... |
b075dbfb1707b86f668565c95e2a54e7f260fd78 | 367134ba5a65885e863bdc4507601606690974c1 | /src/set_theory/cardinal.lean | d118b5f321b92cde6f2af55d3f0ec58050d99298 | [
"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 | 51,505 | 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... |
599eaf54f4dbb113a9de346f5c9c379472dfafd0 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /stage0/src/Lean/Meta/TransparencyMode.lean | 4d07fc9ddb1d585c5db7ff1614f85d84359d56e9 | [
"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 | 816 | 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
-/
namespace Lean.Meta
inductive TransparencyMode where
| all | default | reducible | instances
deriving Inhabited, BEq, Repr
namespace TransparencyMode
... |
99dbe70383a5d8a4232a64328324c444608dcca7 | abd85493667895c57a7507870867b28124b3998f | /src/group_theory/group_action.lean | 4b664b7c8df8efacc82536a8505c421839d322d1 | [
"Apache-2.0"
] | permissive | pechersky/mathlib | d56eef16bddb0bfc8bc552b05b7270aff5944393 | f1df14c2214ee114c9738e733efd5de174deb95d | refs/heads/master | 1,666,714,392,571 | 1,591,747,567,000 | 1,591,747,567,000 | 270,557,274 | 0 | 0 | Apache-2.0 | 1,591,597,975,000 | 1,591,597,974,000 | null | UTF-8 | Lean | false | false | 10,581 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import data.set.finite
import group_theory.coset
universes u v w
variables {α : Type u} {β : Type v} {γ : Type w}
/-- Typeclass for types with a scalar multiplication o... |
e8935c414f5982e7524ab6d3959377c90423cd35 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/bench/parser.lean | e3457f97262d20ace4a7987aa17db3d961909848 | [
"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 | 236 | lean | import Lean.Parser
def main : List String → IO Unit
| [fname, n] => do
env ← Lean.mkEmptyEnvironment;
n.toNat!.forM $ fun _ =>
discard $ Lean.Parser.parseFile env fname;
pure ()
| _ => throw $ IO.userError "give file"
|
c98094e562b89572fce42b8dfd87f77fdf3704a7 | 5df84495ec6c281df6d26411cc20aac5c941e745 | /src/formal_ml/finite_pi_measure.lean | b51522ecd4b8fa344265dab4b44dcfb8264856b9 | [
"Apache-2.0"
] | permissive | eric-wieser/formal-ml | e278df5a8df78aa3947bc8376650419e1b2b0a14 | 630011d19fdd9539c8d6493a69fe70af5d193590 | refs/heads/master | 1,681,491,589,256 | 1,612,642,743,000 | 1,612,642,743,000 | 360,114,136 | 0 | 0 | Apache-2.0 | 1,618,998,189,000 | 1,618,998,188,000 | null | UTF-8 | Lean | false | false | 21,412 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
b257dfabd0cf828843683cdd6e423859f441d577 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /src/Init/Prelude.lean | 40da57bd6cef2ba08e07c5fe92c4f5310556cc51 | [
"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 | 165,230 | 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, Mario Carneiro
-/
prelude -- Don't import Init, because we're in Init itself
set_option linter.missingDocs true -- keep it documented
/-!
# Init.Prelude
Thi... |
c9fe8b207a72d08b850d8c68a3e8ee83f897416d | 2d041ea7f2e9b29093ffd7c99b11decfaa8b20ca | /ch7.lean | 99a84e037b5005a58c96221392d960bb99123c3b | [] | no_license | 0xpr/lean_tutorial | 1a66577602baa9a52c2b01130b9d70089653ea37 | 56ef609d8df9e392916012db5354bf182cbbb8d8 | refs/heads/master | 1,606,955,421,810 | 1,499,014,388,000 | 1,499,014,388,000 | 96,036,899 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,531 | lean | open nat
inductive vector (A : Type) : nat → Type :=
| nil {} : vector A zero
| cons : Π {n}, A → vector A n → vector A (succ n)
open vector
notation h :: t := cons h t
-- defining map with only recursors
definition head_aux {A : Type} {m n : nat} (v : vector A m) : (m = succ n) → A :=
vector.cases_on v
(a... |
c45df07223140e29f2c413d91352f930624adbd9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/expr.lean | 89641583e33bdc49de43ef834762de9e39b5feb8 | [
"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 | 1,852 | lean | /-
Copyright (c) 2022 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import tactic.core
/-! ### Helpers to invoke functions involving algebra at tactic time
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a co... |
a60056133b13ffc5bc4af634a35407f49307ca4b | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/topology/instances/real.lean | 83c48ab7714cd0e24421825eaa04b8adb2360470 | [
"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 | 18,751 | 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
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) subt... |
a5b8d6848f551e29691cc8db67ad86223f6136c4 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/vector_bundle/hom.lean | ddd1541339077ce674d8514cbd5ca13ae1876824 | [
"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 | 14,407 | lean | /-
Copyright © 2022 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Floris van Doorn
-/
import topology.vector_bundle.basic
import analysis.normed_space.operator_norm
/-!
# The topological vector bundle of continuous (semi)linear maps... |
903c3c343dde4ead0b44f12bd8af400ffd90eb30 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Elab/Tactic.lean | fb800b76a577a611d3faa35689de58b1d3121b80 | [
"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 | 533 | 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.Elab.Term
import Lean.Elab.Tactic.Basic
import Lean.Elab.Tactic.ElabTerm
import Lean.Elab.Tactic.Induction
import Lean.Elab.T... |
98fa650cb3288b6725c3d938e5fc2d7673e07f44 | 6305b69bc7636a761e1a1947508bb5ebad93cb7e | /library/init/meta/coinductive_predicates.lean | dc1ec9ee1297301e5c1309f601c34f36299300d4 | [
"Apache-2.0"
] | permissive | HGldJ1966/lean | e7f0068f8a69fde3593b77d8a44609ae446d7738 | 049d940167c419cd5935d12b459c0695d8615ae9 | refs/heads/master | 1,611,340,395,700 | 1,503,103,829,000 | 1,503,103,829,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,192 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl (CMU)
-/
prelude
import init.meta.expr init.meta.tactic init.meta.constructor_tactic init.meta.attribute
import init.meta.interactive
namespace name
def last_string : n... |
614572061017bb75374953d94ef43ea68e3d068c | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /tests/lean/run/uni2.lean | 625e03a5031f055225a22d19e14e7025a3f125c9 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,363 | lean | import logic
namespace experiment
inductive nat : Type :=
zero : nat,
succ : nat → nat
constant f : nat → nat
check @nat.rec
(*
local env = get_env()
local nat_rec = Const({"nat", "rec"}, {1})
local nat = Const("nat")
local f = Const("f")
local n = Local("n", nat)
local C = Fun(n, Prop)
loc... |
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