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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ec755288bd2530d01fd950ce1b6d542c23c88dfe | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/ring_theory/trace.lean | 52d21d8f9236921bbdcb1974fbdee5d3e17cd576 | [
"Apache-2.0"
] | permissive | ilitzroth/mathlib | ea647e67f1fdfd19a0f7bdc5504e8acec6180011 | 5254ef14e3465f6504306132fe3ba9cec9ffff16 | refs/heads/master | 1,680,086,661,182 | 1,617,715,647,000 | 1,617,715,647,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,964 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import linear_algebra.bilinear_form
import ring_theory.power_basis
/-!
# Trace for (finite) ring extensions.
Suppose we have an `R`-algebra `S` with a finite basis. For ... |
b9d23db6073b39e8449806dd891c78986f258bf0 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/analysis/normed_space/riesz_lemma.lean | 4dc25a3c8c4f3d072963ce088a28f5214b1a2b13 | [
"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 | 2,331 | lean | /-
Copyright (c) 2019 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo
-/
import topology.metric_space.hausdorff_distance
/-!
# Riesz's lemma
Riesz's lemma, stated for a normed space over a normed field: for any
closed proper subspace F of E, there is ... |
ba1f52abebc8b10b6a2f7e0ed2f20b844e7f4633 | a7eef317ddec01b9fc6cfbb876fe7ac00f205ac7 | /src/data/equiv/basic.lean | adb7055205679ac76c9882b8690ac4ceb17d7d4f | [
"Apache-2.0"
] | permissive | kmill/mathlib | ea5a007b67ae4e9e18dd50d31d8aa60f650425ee | 1a419a9fea7b959317eddd556e1bb9639f4dcc05 | refs/heads/master | 1,668,578,197,719 | 1,593,629,163,000 | 1,593,629,163,000 | 276,482,939 | 0 | 0 | null | 1,593,637,960,000 | 1,593,637,959,000 | null | UTF-8 | Lean | false | false | 68,608 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
In the standard library we cannot assume the univalence axiom.
We say two types are equivalent if they are isomorphic.
Two equivalent types h... |
13fd8c7a37bce585953af8c199958d9d747f2bb8 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/group_theory/eckmann_hilton.lean | 8e36c13f40ca80d796d7836f65aaf581efba6fef | [
"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 | 1,916 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Kenny Lau, Robert Y. Lewis
-/
import algebra.group.basic
universe u
namespace eckmann_hilton
variables {X : Type u}
local notation a `<`m`>` b := m a b
class is_unital (... |
9692d19b78bcdc67350fbe4bc1ea024d3adb4a68 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/list/perm.lean | 0c0893e884aabe16271cc34d655995d99f23ed69 | [
"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 | 54,317 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad, Mario Carneiro
-/
import data.list.dedup
import data.list.lattice
import data.list.permutation
import data.list.zip
import logic.relation
/-!
... |
60632f97d1bf12e4c9a988acf1e9aac40f6e1ec3 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/normed_space/riesz_lemma.lean | 0e14a11353071c276068c7cf4b09e2cc60f2b592 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 5,476 | lean | /-
Copyright (c) 2019 Jean Lo. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jean Lo, Yury Kudryashov
-/
import analysis.normed_space.basic
import topology.metric_space.hausdorff_distance
/-!
# Applications of the Hausdorff distance in normed spaces
> THIS FILE IS S... |
8b9aa50351d365090813ded9b1688025619f5f3e | d1bbf1801b3dcb214451d48214589f511061da63 | /src/category_theory/adjunction/reflective.lean | f7b39408b2a2c9a38809e41e153caf2fed4b5458 | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,452 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.preserves.shapes.binary_products
import category_theory.limits.preserves.shapes.terminal
import category_theory.adjunction.fully_faithful
/... |
999424c84bdbc43e77f49f8decfcb7f14d8ca4d4 | e1da55f4222dac91b940ca052928eaace09762da | /src/regularity_lemma.lean | a6aceb2bc556247d446f7861f37405ec72aa3946 | [] | no_license | b-mehta/regularity-lemma | c5826e22c280d0b073a4e62dba731f4dd3d1b69f | cf26082b0c88fa54276e6fdc3338c15e607c52c6 | refs/heads/master | 1,658,209,524,267 | 1,644,406,456,000 | 1,644,406,456,000 | 457,327,371 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,287 | lean | /-
Copyright (c) 2021 Yaël Dillies, Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Bhavik Mehta
-/
import .increment
import analysis.special_functions.pow
import order.iterate
/-!
# Szemerédi's Regularity Lemma
In this file, we prove Szeme... |
04ee8b5558e4756e7605934b7a59305beff11f42 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/topology/list.lean | 29bd52ba6e748c8996475877a847d71df9027166 | [
"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 | 8,896 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import topology.constructions
import topology.algebra.group
/-!
# Topology on lists and vectors
-/
open topological_space set filter
open_locale topological_space filte... |
3b8970d0401b42fbd61d7e2a0d1987dde045974a | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/algebra/group/is_unit.lean | b6158d63c1f247c2e122c36347415224a9a5ecd4 | [
"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 | 4,911 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jens Wagemaker
Contents of this file was cherry-picked from `algebra/associated` by Yury Kudryashov.
I copied the original copyright header from there.
-/
import algeb... |
75a055578d842d51a4d472d0944009225d760709 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/482.lean | 9379ca8854cfc108ad37f87d45db590089057f4b | [
"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 | 299 | lean | inductive Mem' (a : α) : List α → Prop where
| intro (as bs) : Mem' a (as ++ (a :: bs))
example {x : α} (h : Mem' x l) : True :=
match h with
| ⟨as', bs'⟩ => True.intro
example {x : α} (h : Mem' x l ∧ Mem' x l') : True :=
match h with
| ⟨⟨as', bs'⟩, _⟩ => True.intro
|
1d732033ab04e63250c6a42778aff3f5c861db20 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /scratch/no_exp_sum_zero.lean | 5a4d8a28f9cdce0b3d5175ad25a543642030d767 | [] | no_license | ChrisHughes24/single_relation | 99ceedcc02d236ce46d6c65d72caa669857533c5 | 057e157a59de6d0e43b50fcb537d66792ec20450 | refs/heads/master | 1,683,652,062,698 | 1,683,360,089,000 | 1,683,360,089,000 | 279,346,432 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,274 | lean | import .pow .exp_sum_eq_zero
open free_group multiplicative
variables {ι : Type} [decidable_eq ι] (r : free_group ι) (T : set ι) [decidable_pred T]
variables (t x : ι)
def psi1 (α : C∞) : free_group ι ≃* free_group ι :=
{ to_fun := free_group.lift'
(λ i, if i = x
then gpowers_hom _ (of x * of' t (α⁻¹)... |
dd2e9f283b77076ea5ff933f472985d8133d9976 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/proj_notation.lean | 47a8ca70f96f6ae53c35ece8de76e137efd3aacb | [
"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 | 678 | lean | structure myprod (A B : Type) :=
(fst : A) (snd : B)
variable p : myprod nat nat
variable f : nat → nat
check p↣fst
check p↣1
check p↣2
check p↣snd
check p~>fst
check p~>1
check p~>2
check p~>snd
check f p↣1
check p↣1 + p↣2
example (A B : Type) : A × B → B × A :=
λ h, ⟨h↣2, h↣1⟩
example (A B : Type) : A × B → B ... |
ea63d1850fe91ce546b16830d70b0ba3c22fd2b5 | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /data/seq/parallel.lean | 1152a2c7b02df3cee1fedb716d62ff1cb39052b1 | [
"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 | 12,208 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Parallel computation of a computable sequence of computations by
a diagonal enumeration.
The important theorems of this operation are proven as
terminates_paralle... |
441c24f6c99305b4e23aed33145917c4d28d5fca | d6aa76a731f5d0a2c72a62729e52996fe8ac81b3 | /src/sym_matrix.lean | a7056cf81206f4b8b4b4f00241c07b1a9167c997 | [] | no_license | jalex-stark/friendship-theorem | 88d30d3f4b17cc275a1a4bbc747eeb41f9e1b7a1 | d0e823b0b298c3fcfffe885cd6d2064a5757ef27 | refs/heads/master | 1,668,993,481,235 | 1,595,108,750,000 | 1,595,108,777,000 | 270,936,124 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 948 | lean | import data.matrix.basic linear_algebra.matrix data.polynomial linear_algebra.determinant linear_algebra.basic
open_locale classical
noncomputable theory
def sym_matrix {m α : Type*} [fintype m] (M: matrix m m α) : Prop :=
M = M.transpose
lemma sym_matrix_apply {m α : Type*} [fintype m] {M: matrix m m α} (h : sym_... |
2297d90bd3430f12adfe1df602ae11f5d8deeb8b | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/linear_algebra/finite_dimensional.lean | 6033fbfbf03c0b59d1ed6d802d9b4420d4b08e9c | [
"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 | 63,101 | lean | /-
Copyright (c) 2019 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
-/
import algebra.algebra.subalgebra
import field_theory.finiteness
import linear_algebra.dimension
import ring_theory.principal_ideal_domain
/-!
# Finite dimensional vecto... |
1788bd784dd3f142dd35d1d3c50990b5ded254b6 | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/topology/continuous_function/compact.lean | b415647de2ea738c03e819bba1e7f0d451cec2df | [
"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 | 18,060 | 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 topology.continuous_function.bounded
import topology.uniform_space.compact_separated
import topology.compact_open
import topology.sets.compacts
/-!
# Continuo... |
89a999059b4b2cac866ebe7f55f5c2458bbecc63 | b9a81ebb9de684db509231c4469a7d2c88915808 | /src/super/lpo.lean | f35fdc422b2f430fba019dd924e54805ee8bb924 | [] | no_license | leanprover/super | 3dd81ce8d9ac3cba20bce55e84833fadb2f5716e | 47b107b4cec8f3b41d72daba9cbda2f9d54025de | refs/heads/master | 1,678,482,996,979 | 1,676,526,367,000 | 1,676,526,367,000 | 92,215,900 | 12 | 6 | null | 1,513,327,539,000 | 1,495,570,640,000 | Lean | UTF-8 | Lean | false | false | 1,619 | lean | /-
Copyright (c) 2017 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
-- Polytime version of lexicographic path order as described in:
-- Things to know when implementing LPO, Bernd Löchner, ESFOR 2004
import .utils
open expr decidable m... |
ff11a743e85bf72352f33753d3279f0acc7d9e2a | f57749ca63d6416f807b770f67559503fdb21001 | /library/theories/group_theory/action.lean | 2a832e38366601c3fe2b37d842008a076f2c43d3 | [
"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 | 23,144 | lean | /-
Copyright (c) 2015 Haitao Zhang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author : Haitao Zhang
-/
import algebra.group data .hom .perm .finsubg
namespace group
open finset algebra function
local attribute perm.f [coercion]
private lemma and_left_true {a b : Prop} ... |
8ead014985bbd83d8ab79e2fd6e19d730bed153b | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/order/initial_seg.lean | 27b3920a62acdc6b44f19a306a1c749b97b866dd | [
"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 | 18,052 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Floris van Doorn
-/
import order.rel_iso
import order.well_founded
/-!
# Initial and principal segments
This file defines initial and principal segments.
## Main de... |
b87bccd13c54c205434a6283b14dceb77e579a81 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /src/Lean/Meta/Tactic/Intro.lean | 5bebf7fa1a6c849e76d85a255c3ea1b3eeb71f57 | [
"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 | 5,433 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Tactic.Util
namespace Lean.Meta
@[inline] private partial def introNImp {σ} (mvarId : MVarId) (n : Nat) (mkName : LocalContext → Name → B... |
ee3401cf4e2242aa3a8e8d88fd771be79a59a673 | 94e33a31faa76775069b071adea97e86e218a8ee | /test/has_scalar_comp_loop.lean | 34d2504781e216ae169605be7b0de1755e4f2235 | [
"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 | 1,469 | lean | import group_theory.group_action.basic
variables (R M S : Type*)
/-- Some arbitrary type depending on `has_smul R M` -/
@[irreducible, nolint has_inhabited_instance unused_arguments]
def foo [has_smul R M] : Type* := ℕ
variables [has_smul R M] [has_smul S R] [has_smul S M]
/-- This instance is incompatible with `ha... |
ada75c292e93e1b41ea566cfd30ea5a58d08ce77 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/measure_theory/borel_space.lean | 4fe1e1ed9b44761b1c9ce8914c50d85fcf2655cb | [
"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 | 68,269 | 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.ae_measurable_sequence
import analysis.complex.basic
import analysis.normed_space.finite_dimension
import topology.G_delta
impo... |
77749d37af1bf18d37824070b109a2924db56f68 | 5aaf2c36656c8e760e9c8e4d3b19422402d70634 | /src/tut28_entropy.lean | 54f0d2db004d1b53579836b7cf66267739db57fe | [] | no_license | BassemSafieldeen/Lean-tutorials | 535746ccf8d4419419f4fcb544c1687dc564b537 | 031a14fa9700898e9895c9d41be8495275618c46 | refs/heads/main | 1,673,748,866,999 | 1,605,459,118,000 | 1,605,459,118,000 | 307,048,364 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,005 | lean | import linear_algebra.eigenspace
import linear_algebra.tensor_product
import rnd_var
import shannon_theory
import tut3
import tut5
-- import tut13_ptrace
---- QUANTUM ENTROPY
open rnd_var
open_locale tensor_product big_operators
noncomputable theory
variables
{ℋ : Type} [complex_hilbert_space ℋ]
{ℋ₁ : Type} [com... |
2adc3d65a90cb05751c2a33d064210a5bd1839b6 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/rewrite_search/types.lean | c6febe0dd62be7e9adf439d1854f653da319682e | [] | 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 | 1,612 | lean | /-
Copyright (c) 2020 Kevin Lacker, Keeley Hoek, Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Lacker, Keeley Hoek, Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.nth_rewrite.default
import Mat... |
c819815e1536724905fc2f384c15007876313d80 | 367134ba5a65885e863bdc4507601606690974c1 | /src/category_theory/limits/shapes/binary_products.lean | 07f2236964fa6998764750eba79d7bf870fa1cbd | [
"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 | 35,497 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Bhavik Mehta
-/
import category_theory.limits.limits
import category_theory.limits.shapes.terminal
import category_theory.discrete_category
import category_theory.epi_m... |
5d45e7ae69677e29d041b2c2967f4e8db4801ae0 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Meta/KAbstract.lean | c6a563462860452fb4d1e8dd0b0709874836fc36 | [
"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 | 1,753 | 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
-/
import Lean.Data.Occurrences
import Lean.HeadIndex
import Lean.Meta.ExprDefEq
namespace Lean.Meta
def kabstract (e : Expr) (p : Expr) (occs : Occurrences :... |
3f1c3ceb5dfd4cb4911e3ab1a7cbbc86d5c1bfd2 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/control/monad/writer.lean | 1c115a848f9c9a728ef3fb46f4eacc6b671d9022 | [
"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 | 7,343 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
The writer monad transformer for passing immutable state.
-/
import control.monad.basic
universes u v w
structure writer_t (ω : Type u) (m : Type u → Type v) (α : ... |
0d498d2255c4eb7913c275fd1b733b386a98359c | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/analysis/calculus/formal_multilinear_series_auto.lean | 4dd396ae6fac9902fd446e9dc7f4d419cd47991f | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,440 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Sébastien Gouëzel
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.analysis.normed_space.multilinear
import Mathlib.ring_theory.power_series.basic
import... |
e413551758003a67941a11a248a3ae895e2bf7ec | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/calculus/deriv/prod.lean | 70b478ea5c3999e2bfb382ccdfcc3e8b011f85e8 | [
"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 | 3,487 | lean | /-
Copyright (c) 2019 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Yury Kudryashov
-/
import analysis.calculus.deriv.basic
import analysis.calculus.fderiv.prod
/-!
# Derivatives of functions taking values in product types
> THIS FILE I... |
656339c57e5c38a1b214349c166d56a613f3858c | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/field_theory/is_alg_closed/basic.lean | bd119085ca9a073462c7bbfd12f4f649b0daa341 | [
"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 | 16,361 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import field_theory.splitting_field
/-!
# Algebraically Closed Field
In this file we define the typeclass for algebraically closed fields and algebraic closures,
and prove som... |
3a9c5f0b2b01eaa977ce2af07fff54dd745b9cea | bdb33f8b7ea65f7705fc342a178508e2722eb851 | /algebra/big_operators.lean | e99d589c69ed3d8753874349e484bc43cad947e1 | [
"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 | 15,802 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Some big operators for lists and finite sets.
-/
import data.list.basic data.list.perm data.finset
algebra.group algebra.ordered_group algebra.group_power
universes ... |
32b526205d3237f8d7f55063f04d18ee3700beb1 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/preadditive/Mat.lean | 0d70261f8745e30e8577b3407299cabab9679611 | [
"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 | 15,545 | 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 algebra.big_operators.basic
import algebra.big_operators.pi
import category_theory.limits.shapes.biproducts
import category_theory.preadditive
import category_... |
897302a8e9ccb8cf9661a9829579794e03c01b39 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/order/lattice.lean | d323686b62deb57c13d12faeb06a6dc6f9f65a28 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 26,663 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.rel_classes
/-!
# (Semi-)lattices
Semilattices are partially ordered sets with join (greatest lower bound, or `sup`) or
meet (least upper bound, or `in... |
74585e170e2d5f0a77da650befe157bf7b7c5402 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/test/lock/Wait.lean | 29591b904515e7a598ffe2f6109ba88790c8c8c4 | [
"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 | 226 | lean | import Lake.Build.Monad
partial def busyWaitFile (file : System.FilePath) : BaseIO PUnit := do
if (← file.pathExists) then
IO.sleep (ms := 300)
busyWaitFile file
#eval busyWaitFile <| "build" / Lake.lockFileName
|
44783014d93c88a71241037460b918e926aea257 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/linear_ordered_comm_group_with_zero.lean | c906754c9a188debe17a100cb93e45baa3c95598 | [
"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 | 8,631 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin, Patrick Massot
-/
import algebra.ordered_group
import algebra.group_with_zero
import algebra.group_with_zero.power
import tactic.abel
/-!
# Linearly ordered com... |
e30b15d0268b56c594d92faec7f4361a63dcb493 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Init/Control/Reader.lean | 9cc0c8f22d920b013cd62944b94a6ab2d7647b5a | [
"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 | 1,022 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
The Reader monad transformer for passing immutable State.
-/
prelude
import Init.Control.Basic
import Init.Control.Id
import Init.Control.Except
namespace Re... |
ca4b5d8bb65f3db5ff441684dc9711f027221e03 | 761d983a78bc025071bac14a3facced881cf5e53 | /affine/g_space.lean | c7172f12d19e7ea8aa3f34aee25f02d836b74d53 | [] | no_license | rohanrajnair/affine_lib | bcf22ff892cf74ccb36a95bc9b7fff8e0adb2d0d | 83076864245ac547b9d615bc6a23804b1b4a8f70 | refs/heads/master | 1,673,320,928,343 | 1,603,036,653,000 | 1,603,036,653,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,685 | lean | import group_theory.group_action
import ..affine.add_group_action
-- g-spaces
/-!
# G-spaces, Homogeneous spaces, and torsors
A `G-space` is a nonempty set `X` on which a group `G` acts.
A `Homogeneous Space` is a G-space where the group action is transitive.
A `Torsor` is a homogeneous space where the gro... |
95a61a46c01f41d78e0457ac60ebac234cd87e87 | e8153a5579a289d323a1f905f108faed9bb4988c | /src/perfect.lean | bb86a656c84eec5b008095ca67618eb5fc491d1a | [] | no_license | awainverse/perfect_number | 983ae4a6fdeafc507be0143e949f33b985d415df | 3d5504b4529fbccd4ab69c8816731096c50402be | refs/heads/master | 1,667,809,996,394 | 1,593,575,741,000 | 1,593,575,741,000 | 272,861,730 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 22,423 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson.
-/
import data.nat.totient
import number_theory.quadratic_reciprocity
import number_theory.lucas_lehmer
import multiplicity_vectors
/-
# Perfect Numbers
## Notations... |
8c2057aa5709bcb8c5896feca9bc5c702518bada | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /03_Propositions_and_Proofs.org.12.lean | 6c3bd7c4883a32d94765e68698c2a648df754eb8 | [] | no_license | cjmazey/lean-tutorial | ba559a49f82aa6c5848b9bf17b7389bf7f4ba645 | 381f61c9fcac56d01d959ae0fa6e376f2c4e3b34 | refs/heads/master | 1,610,286,098,832 | 1,447,124,923,000 | 1,447,124,923,000 | 43,082,433 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 92 | lean | /- page 37 -/
import standard
theorem t1 (p q : Prop) (Hp : p) (Hq : q) : p := Hp
check t1
|
9069c84e9796fbe4a9853636b7ce2acc7f2a1e80 | 6e41ee3ac9b96e8980a16295cc21f131e731884f | /library/algebra/category/functor.lean | 0feb78a617534a5772acb3a4f5a0294a8f0f82ce | [
"Apache-2.0"
] | permissive | EgbertRijke/lean | 3426cfa0e5b3d35d12fc3fd7318b35574cb67dc3 | 4f2e0c6d7fc9274d953cfa1c37ab2f3e799ab183 | refs/heads/master | 1,610,834,871,476 | 1,422,159,801,000 | 1,422,159,801,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,250 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.category.functor
Author: Floris van Doorn
-/
import .basic
import logic.cast
open function
open category eq eq.ops heq
structure functor (C D : Category) : Type :=
(objec... |
bfc5b58a440565b6605079fa1de6c5c79079385d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/tools/debugger/default.lean | b7d659e136f638de162d19f58672df5ffe505fa3 | [] | 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 | 333 | 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
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.Lean3Lib.tools.debugger.util
import Mathlib.Lean3Lib.tools.debugger.cli
namesp... |
0e0de304fcb3587076f62ad8a963066364f93d64 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_geometry/prime_spectrum/noetherian.lean | 38c3c4e6393e8f16c5cb947e76ac7c1082b082e0 | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,257 | lean | /-
Copyright (c) 2020 Filippo A. E. Nuccio. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Filippo A. E. Nuccio, Andrew Yang
-/
import algebraic_geometry.prime_spectrum.basic
import topology.noetherian_space
/-!
This file proves additional properties of the prime spect... |
177780b4f7f2442aa70d78d0850d9d515f71985a | 43390109ab88557e6090f3245c47479c123ee500 | /src/M1P2/sheet_3.lean | 0e02ae98820f26ad3cf3fd1e06bbd788cfbf85ea | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,159 | lean | import linear_algebra.dimension
-- *1. Suppose v1, v2, v3 is a basis for R3. Explain why there is a unique 3 × 3 matrix A with Av1 =v2, Av2 =v3 andAv3 =v1.
-- Prove that A3 = I3 (the identity matrix). Find such a matrix when
-- 1 1 0 v1 =1, v2 =0, v3 =0.
-- 011
-- Check your answer by computing A3. [Hint: U... |
225af0d40166c24832f09c62ef39d59b8b0a47f5 | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/tactic13.lean | 73d705bbf32aeb5fd5684532a3f5af1fba7f218e | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 613 | lean | import Int.
(* import("tactic.lua") *)
variable f : Int -> Int -> Int
(*
refl_tac = apply_tac("refl")
congr_tac = apply_tac("congr")
symm_tac = apply_tac("symm")
trans_tac = apply_tac("trans")
auto = Repeat(OrElse(refl_tac, congr_tac, assumption_tac(), Then(symm_tac, assumption_ta... |
bc3bdc04a6b2d5599cdea568af0a4338960bc81b | 76df16d6c3760cb415f1294caee997cc4736e09b | /rosette-benchmarks-3/jitterbug/jitterbug/lean/src/bv/basic.lean | b0cb8717f609db534d4a60703223b5a68e4f2f5a | [
"MIT"
] | permissive | uw-unsat/leanette-popl22-artifact | 70409d9cbd8921d794d27b7992bf1d9a4087e9fe | 80fea2519e61b45a283fbf7903acdf6d5528dbe7 | refs/heads/master | 1,681,592,449,670 | 1,637,037,431,000 | 1,637,037,431,000 | 414,331,908 | 6 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 6,695 | lean | import data.fin
import data.fintype.basic
import tactic.omega.main
/-!
# Fixed-size bitvectors
This file defines fixed-sized bitvectors following the SMT-LIB standard.
## References
* http://smtlib.cs.uiowa.edu/Theories/FixedSizeBitVectors.smt2
* http://smtlib.cs.uiowa.edu/Logics/QF_BV.smt2
-/
/--
The type of bitv... |
c0a1f4e0d2afc6b0242685a0eeb1589f955888c5 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/Prelude.lean | 7f7fcae06ba23b41ce939938581f64c9594d32c8 | [] | 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 | 2,026 | lean | section Prelude
structure Prod (a b : Type) : Type :=
(fst : a)
(snd : b)
inductive Wrap (A : Type) : Type
| Q : A → Wrap
open Wrap
inductive Stage : Type
| s0 : Stage
| s1 : Stage
open Stage
def stageOrder : Stage → ℕ
| s0 := 0
| s1 := 1
def CodeRep (A : Type) : Stage → Type
| s0 := A
| s1 := hav... |
3ca671745d3c6b2d5527fce8c0dcaaea26c55b35 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/typeclass_metas_internal_goals3.lean | 0f201e7cb5cb14d6a7ed24ad301107f164327435 | [
"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 | 621 | lean |
class Base (α : Type) := (u:Unit)
class Depends (α : Type) [Base α] := (u:Unit)
class Top := (u:Unit)
instance AllBase {α : Type} : Base α := {u:=()}
instance DependsNotConstrainingImplicit {α : Type} [Base α] : Depends α := {u:=()}
set_option synthInstance.checkSynthOrder false
instance BaseAsImplicit₁ {α : Type} ... |
99d8f6577fa0ca4364c8bbb522fc85d1fd741d64 | b00eb947a9c4141624aa8919e94ce6dcd249ed70 | /tests/lean/run/casesUsing.lean | caddc13e1cf8625b4d274e7742e1aed15234678c | [
"Apache-2.0"
] | permissive | gebner/lean4-old | a4129a041af2d4d12afb3a8d4deedabde727719b | ee51cdfaf63ee313c914d83264f91f414a0e3b6e | refs/heads/master | 1,683,628,606,745 | 1,622,651,300,000 | 1,622,654,405,000 | 142,608,821 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,702 | lean | import Lean
open Lean
open Lean.Meta
open Lean.Elab.Tactic
universes u
axiom elimEx (motive : Nat → Nat → Sort u) (x y : Nat)
(diag : (a : Nat) → motive a a)
(upper : (delta a : Nat) → motive a (a + delta.succ))
(lower : (delta a : Nat) → motive (a + delta.succ) a)
: motive y x
theorem ex1 (p q : Nat) : p ≤... |
f61a9b30a9e737261a20665ec152b4b8acf516bd | e2fc96178628c7451e998a0db2b73877d0648be5 | /src/utilities/written_by_others/list_take_join.lean | c21a9f0a2d1ed36ebbe981da3c6043fd417190c8 | [
"BSD-2-Clause"
] | permissive | madvorak/grammars | cd324ae19b28f7b8be9c3ad010ef7bf0fabe5df2 | 1447343a45fcb7821070f1e20b57288d437323a6 | refs/heads/main | 1,692,383,644,884 | 1,692,032,429,000 | 1,692,032,429,000 | 453,948,141 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,507 | lean | -- Written by Patrick Johnson and released into the public domain at:
-- https://github.com/user7230724/lean-projects/blob/master/src/list_take_join/main.lean
import tactic
namespace list
variables {α : Type*}
private noncomputable def get_max [inhabited α] [linear_order α] (P : α → Prop) :=
classical.epsilon (λ (x... |
16bf03a5a5b6b106d577360c26eb1c42246012b6 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/ring_theory/power_basis.lean | 65d72d8a8f8744439e612b5d29fb303f75fbccb6 | [
"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 | 20,908 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import field_theory.minpoly
/-!
# Power basis
This file defines a structure `power_basis R S`, giving a basis of the
`R`-algebra `S` as a finite list of powers `1, x, ...... |
51c16f60ec9851044c668db8e2882c805c8affd6 | 9ee042bf34eebe0464f0f80c0db14ceb048dab10 | /stage0/src/Lean/Elab/PreDefinition/WF/Fix.lean | 505df0a3d5339264924954cad6037a822c0878c1 | [
"Apache-2.0"
] | permissive | dexmagic/lean4 | 7507e7b07dc9f49db45df5ebd011886367dc2a6c | 48764b60d5bac337eaff4bf8a3d63a216e1d9e03 | refs/heads/master | 1,692,156,265,016 | 1,633,276,980,000 | 1,633,339,480,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,520 | 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.Match.Match
import Lean.Meta.Tactic.Simp.Main
import Lean.Elab.PreDefinition.Basic
import Lean.Elab.PreDefinition.Structural.Basic
namespa... |
cd6634ececdf604f90f4cecb2c5718d823bef5f2 | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /exp/limits.lean | 7013eed8eea9740ad64281a94d9275392663ba53 | [] | no_license | ChrisHughes24/leanstuff | dca0b5349c3ed893e8792ffbd98cbcadaff20411 | 9efa85f72efaccd1d540385952a6acc18fce8687 | refs/heads/master | 1,654,883,241,759 | 1,652,873,885,000 | 1,652,873,885,000 | 134,599,537 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,123 | lean | import data.complex.basic
namespace cau_seq
theorem const_inv {α β : Type*} [discrete_field β] [discrete_linear_ordered_field α] {abv : β → α}
[is_absolute_value abv] {x : β} (hx : x ≠ 0) :
const abv (x⁻¹) = inv (const abv x) (by rwa const_lim_zero) :=
ext (assume n, by simp[inv_apply, const_apply])
end cau_seq... |
503b9ee7c5a56a100023c31439797dc7ef25cb85 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/int/char_zero.lean | 3f4b5371b3aca02608801289298e3595bbec9184 | [
"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 | 1,569 | 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 algebra.char_zero
import data.int.cast_field
/-!
# Injectivity of `int.cast` into characteristic zero rings and fields.
-/
variables {α : Type*}
open nat
... |
41af80f4254a9544b26037d4ed45fe4cfe3620fd | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/mutwf1.lean | 6a6f9e9cb7e88c8cade57e363c3367c8a6655e45 | [
"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 | 987 | lean | namespace Ex1
mutual
def f : Nat → α → α → α
| 0, a, b => a
| n, a, b => g a n b |>.1
def g : α → Nat → α → (α × α)
| a, 0, b => (a, b)
| a, n, b => (h a b n, a)
def h : α → α → Nat → α
| a, b, 0 => b
| a, b, n+1 => f n a b
end
termination_by'
invImage
(fun
| PSum.inl ⟨n, _, ... |
34b4ad26c1599940fc4e66877b50932e662394c6 | 8d65764a9e5f0923a67fc435eb1a5a1d02fd80e3 | /src/measure_theory/measurable_space.lean | 643149855dd1000ca53d564585b3eb575628d094 | [
"Apache-2.0"
] | permissive | troyjlee/mathlib | e18d4b8026e32062ab9e89bc3b003a5d1cfec3f5 | 45e7eb8447555247246e3fe91c87066506c14875 | refs/heads/master | 1,689,248,035,046 | 1,629,470,528,000 | 1,629,470,528,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 44,666 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro
-/
import measure_theory.measurable_space_def
import measure_theory.tactic
import data.tprod
/-!
# Measurable spaces and measurable functions
This fi... |
4ec20ff2a9bb3d9876d5e9486c0c7a6f20be3a64 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/mean_inequalities.lean | fc2623641a35780922d5100217fcc88d52f1ec58 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 32,994 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Sébastien Gouëzel, Rémy Degenne
-/
import analysis.convex.specific_functions
import data.real.conjugate_exponents
/-!
# Mean value inequalities
In this file we prov... |
764c686308663340b5cc914c431277ad56a06e76 | 05b503addd423dd68145d68b8cde5cd595d74365 | /src/data/equiv/denumerable.lean | f19a26659a6203f081a3c8aee71a8cce288137aa | [
"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 | 9,050 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Denumerable (countably infinite) types, as a typeclass extending
encodable. This is used to provide explicit encode/decode functions
from nat, where the functions are kn... |
254f2b24ffa2181b6520679e0d5bee3a737527a4 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/topology/is_locally_homeomorph.lean | aa7d201b6050c04be1f1e7e75d74d9454ff4390f | [
"Apache-2.0"
] | permissive | alreadydone/mathlib | dc0be621c6c8208c581f5170a8216c5ba6721927 | c982179ec21091d3e102d8a5d9f5fe06c8fafb73 | refs/heads/master | 1,685,523,275,196 | 1,670,184,141,000 | 1,670,184,141,000 | 287,574,545 | 0 | 0 | Apache-2.0 | 1,670,290,714,000 | 1,597,421,623,000 | Lean | UTF-8 | Lean | false | false | 4,853 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import topology.local_homeomorph
/-!
# Local homeomorphisms
This file defines local homeomorphisms.
## Main definitions
* `is_locally_homeomorph`: A function `f... |
323fd21e99cdd0ed0f3510895a8815e5ac3b63e6 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/logic/encodable/basic.lean | 993780e8eb558bd364cf6185aaf233b235e23f09 | [
"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 | 18,920 | lean | /-
Copyright (c) 2015 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Mario Carneiro
-/
import logic.equiv.nat
import order.directed
import order.rel_iso
/-!
# Encodable types
This file defines encodable (constructively counta... |
44d13a40c7d9651b891d0ddbd5fd46c47ecfc1af | e031d1fbf8353b338e3189e0d9aec3adb5bb0512 | /src/clone.lean | 9ed9a7814206b8742e864f5cd34adae370e15d74 | [
"Apache-2.0"
] | permissive | UniversalAlgebra/lean-ualib | e64431a70007a835b1dd933d66be04ffca118601 | ab9cbddbb5bdf1eeac4b0d5994bd6cad2a3665d4 | refs/heads/master | 1,584,931,281,084 | 1,558,364,533,000 | 1,558,364,533,000 | 140,986,567 | 6 | 0 | Apache-2.0 | 1,532,718,578,000 | 1,531,613,794,000 | Lean | UTF-8 | Lean | false | false | 1,231 | lean | import basic
section
parameters (α : Type*) (F : Type*)
structure is_clone (C : set (op F α)) :=
(proj_closed : ∀ k, (λ (x : F → α), x k) ∈ C)
(comp_closed : ∀ f (g : F → op F α), f ∈ C → (∀ i, g i ∈ C) → (λ x, f (λ i, g i x)) ∈ C)
parameter (X : set (op F α))
-- The smallest clone containing X
inductive clo : set ... |
23fb1e282a11e410e81ef61eb5bee49d31480047 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/string_imp.lean | 2d840ef5583dc6e0d75656403d7c7d5438c1db85 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 339 | lean | #eval ("abc" ++ "cde").length
#eval ("abcd".mkIterator.nextn 2).remainingToString
#eval ("abcd".mkIterator.nextn 10).remainingToString
#eval "αβ".length
#eval "αβcc".mkIterator.pos
#eval "αβcc".mkIterator.next.pos
#eval "αβcc".mkIterator.next.next.pos
#eval "αβcc".mkIterator.next.setCurr 'a'
#eval "αβcd".mkIterator.toE... |
901581d3e6b2dea5b972d2233cb237300f9f0286 | abd85493667895c57a7507870867b28124b3998f | /src/data/real/ennreal.lean | 26b38892854290a1126218c260a582c85b6a1c84 | [
"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 | 45,296 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl, Yury Kudryashov
Extended non-negative reals
-/
import data.real.nnreal
import data.set.intervals
noncomputable theory
open classical set
open_locale classical big_oper... |
55e52884d28a2032152394acaad6b456f980abb2 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /tests/lean/run/int_to_nat_bug.lean | b0068696fb2ff0a4b11a30ea3b3c2e14b1658229 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 25 | lean | #eval (4294967295 : Int)
|
3357492e975fb6b49be9be537fed26545d24e150 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/Lean/Compiler/IR/Format.lean | 9786052b0dec5403c9b05ecfd496299e25afa599 | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,003 | 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
-/
prelude
import Init.Lean.Data.Format
import Init.Lean.Compiler.IR.Basic
namespace Lean
namespace IR
private def formatArg : Arg → Format
| Arg.var id ... |
18b67ca0971ed1bd3a51b72c7160c1ca5bd0011a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/record_rec_protected.lean | c741f3ae71e86dbe0f5b6adfab0beaf49275613c | [
"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 | 122 | lean | --
structure point (A : Type) (B : Type) :=
mk :: (x : A) (y : B)
open point
#check rec -- error, rec is protected
|
ca5d53f0f7da09703f91b264c1376d84f61d40ec | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/ring/idempotents.lean | 683809ccecede1a8b255df3fde3e4d6ef2212c63 | [
"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 | 3,908 | lean | /-
Copyright (c) 2022 Christopher Hoskin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Christopher Hoskin
-/
import algebra.ring.basic
import algebra.group_power.basic
import tactic.nth_rewrite.default
/-!
# Idempotents
This file defines idempotents for an arbitary... |
ab6caf8a9f08e443e323e34691d4ee4aba3b2e7e | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/data/real/cau_seq.lean | 4b0c901a79b12daffeac7285ab1f6728cd8b7209 | [
"Apache-2.0"
] | permissive | eric-wieser/mathlib | 42842584f584359bbe1fc8b88b3ff937c8acd72d | d0df6b81cd0920ad569158c06a3fd5abb9e63301 | refs/heads/master | 1,669,546,404,255 | 1,595,254,668,000 | 1,595,254,668,000 | 281,173,504 | 0 | 0 | Apache-2.0 | 1,595,263,582,000 | 1,595,263,581,000 | null | UTF-8 | Lean | false | false | 25,965 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
-/
import algebra.big_operators
/-!
# Cauchy sequences
A basic theory of Cauchy sequences, used in the construction of the reals and p-adic numbers. Where
applicable, ... |
cb9add88ec1777b5ebfc602e6cc1e1a40a24005e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/analysis/normed_space/dual.lean | ede4cee9af1be4177a013f45bb9f8c2a0d3e616a | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 12,851 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth, Frédéric Dupuis
-/
import analysis.normed_space.hahn_banach
import analysis.normed_space.inner_product
/-!
# The topological dual of a normed space
In this file we ... |
6321e2590abc3a7871db87bec40184b64895fe3a | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/interactive/goal_info_semicolon.lean | f78f354b9e96065be173b389d44adb8cf90ae410 | [
"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 | 362 | lean | example (a b : bool) : a = b := by cases a; cases b; simp
--^ "command": "info"
example (a b : bool) : a = b := by cases a; cases b; simp
--^ "command": "info"
example (a b : bool) : a = b := by cases a; cases b; simp
... |
c59121ffbed43913aff2e842af52190f9348b9b2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/sorryWarning.lean | 64eca7b8a146378297c7e4220e413a00200c8e02 | [
"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 | 64 | lean | def f (x : Nat) : Nat :=
sorry
def g (x : Nat) : Nat :=
f x
|
43a3e446a2b9d21fd857b6fc3a58ace6b60e785c | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/is_nil.lean | debdee21ed41bbeefa5faccf15465f40dd225de5 | [
"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 | 1,343 | lean | import logic
open tactic
inductive list (A : Type) : Type :=
nil {} : list A,
cons : A → list A → list A
namespace list end list open list
open eq
definition is_nil {A : Type} (l : list A) : Prop
:= list.rec true (fun h t r, false) l
theorem is_nil_nil (A : Type) : is_nil (@nil A)
:= eq_true_elim (refl true)
theo... |
801e8d0d44f8a9e2696cce505966c95713ea8ebc | fc086f79b20cf002d6f34b023749998408e94fbf | /src/tidy/timing.lean | 1bdd93dd87e8a5a9cee6c5ec3ec7269890b210ee | [] | no_license | semorrison/lean-tidy | f039460136b898fb282f75efedd92f2d5c5d90f8 | 6c1d46de6cff05e1c2c4c9692af812bca3e13b6c | refs/heads/master | 1,624,461,332,392 | 1,559,655,744,000 | 1,559,655,744,000 | 96,569,994 | 9 | 4 | null | 1,538,287,895,000 | 1,499,455,306,000 | Lean | UTF-8 | Lean | false | false | 1,978 | lean |
import system.io
open tactic
universe variables u
/-- This function has a native implementation that returns the system time in microseconds since the epoch. -/
-- see patch below for adding this to Lean
-- it currently suffers from overflow issues, which aren't a problem for profiling.
meta def systemtime : ℕ :=
0... |
4e9615b5f0f2592a0010b9cdc966bfcefb82ec05 | 80746c6dba6a866de5431094bf9f8f841b043d77 | /src/ring_theory/ideal_operations.lean | 839c9ed896ac36bb6ca507742472de3a152969a9 | [
"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 | 20,653 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
More operations on modules and ideals.
-/
import ring_theory.ideals data.nat.choose order.zorn
import linear_algebra.tensor_product
universes u v w x
open lattice
namespace s... |
278a3cee762c045e5e70d8707668bdbd36bd5824 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/algebra/theories/basic.lean | 3c13ec08979cffd95a913162ca8d69402ae6c5d2 | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 221 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import util.theories
import algebra.identities.basic
import algebra.identities.common
|
ab006b4adc46b09cca20976669e64892241fa298 | 0845ae2ca02071debcfd4ac24be871236c01784f | /library/init/data/list/instances.lean | 7793f1b56657862b681034449502544ac3d51f08 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 462 | 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.data.list.basic
import init.control.alternative init.control.monad
open List
universes u v
instance : Monad List :=
{ pure := @List.pur... |
e177c3db0c49c513a62f7a973e2dc4698bb5583a | 3dd1b66af77106badae6edb1c4dea91a146ead30 | /tests/lean/let1.lean | e68f523650e615fabafe9ad9af23ffa9c5146c7d | [
"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 | 1,082 | lean | -- Correct version
check let bool [inline] := Type.{0},
and [inline] (p q : bool) := ∀ c : bool, (p → q → c) → c,
infixl `∧`:25 := and,
and_intro (p q : bool) (H1 : p) (H2 : q) : p ∧ q
:= λ (c : bool) (H : p → q → c), H H1 H2,
and_elim_left... |
9abd01ab2fd9f910067014c3199f6744676f3311 | d31b9f832ff922a603f76cf32e0f3aa822640508 | /src/hott/init/meta/basic_tactics.lean | dd5c4ded6f02fddbe7c0299de4684f0ccb2c4801 | [
"Apache-2.0"
] | permissive | javra/hott3 | 6e7a9e72a991a2fae32e5764982e521dca617b16 | cd51f2ab2aa48c1246a188f9b525b30f76c3d651 | refs/heads/master | 1,585,819,679,148 | 1,531,232,382,000 | 1,536,682,965,000 | 154,294,022 | 0 | 0 | Apache-2.0 | 1,540,284,376,000 | 1,540,284,375,000 | null | UTF-8 | Lean | false | false | 7,814 | lean | /-
Copyright (c) 2017 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
-/
import ..path0 .instances
universes u v w
namespace name
meta def append_postfix : name → string → name
| (mk_string s p) s' := mk_string (s ++ s') p
| x ... |
f0d6ee532a01c8abefc57d8d387104a1f03ab152 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/sheaves/sheaf_condition/opens_le_cover_auto.lean | 2c062691289e50b5bf88da969aba854e42426fbb | [] | 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 | 8,638 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.sheaves.presheaf
import Mathlib.category_theory.limits.cofinal
import Mathlib.topo... |
da0d118b04c9b895e3d185e33bfb59869de92b9d | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/category_theory/limits/preserves.lean | f35050c5aaff2a7fa01a30a4c003fcb1b59fbbd9 | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 10,806 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Reid Barton
-/
import category_theory.limits.limits
/-!
# Preservation and reflection of (co)limits.
There are various distinct notions of "preserving limits". The on... |
fbcc7475eb1863088a75f8667e759aa6396ad01c | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/logic/axioms/examples/diaconescu.lean | e119237c437d793070c5d5ce96ed04d7e9a48a19 | [
"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 | 1,758 | 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.axioms.hilbert logic.axioms.funext
open eq.ops nonempty inhabited
-- Diaconescu’s theorem
-- Show that Excluded middle follows from
-- Hi... |
0128cf8341cdf5ee2659174426135d448235dd1c | a0a027e4a00cdb315527e8922122f2a4411fd01c | /6.2-constructors-with-arguments.lean | 4bcae5f53333a1782dec8b325812439ef99f7a20 | [] | no_license | spl/lean-tutorial | 96a1ef321d06b9b28d044eeb6bf1ff9a86761a6e | 35c0250004d75d8ae58f6192b649744545116022 | refs/heads/master | 1,610,250,012,890 | 1,454,259,122,000 | 1,454,259,122,000 | 49,971,362 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 555 | lean | open bool option
definition option.comp {A B C : Type} (f : A → option B) (g : B → option C) (x : A) : option C :=
option.cases_on (f x) none
(λ y : B, option.cases_on (g y) none some)
example : inhabited bool := inhabited.mk tt
example : inhabited ℕ := inhabited.mk 0
example {A B : Type} (x : inhabited A) (y... |
324b37a44504726970e816d54b94c0488df1b161 | 83bd63fd58ebbb33f769cbf6d6a67463ba1bc637 | /src/day_2/partitions_relations.lean | c2956f7391390184fc38bf57f3e7a7625556f82d | [] | no_license | Wornbard/mbl_lean_workshop | 6ebdafebac74f1b1148f67a528242a3687af17e1 | 6b68ce25fdc49043fd5ab409de8e4a2987def22e | refs/heads/main | 1,690,205,591,845 | 1,630,953,271,000 | 1,630,953,271,000 | 403,417,180 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,838 | lean | import tactic
/-!
# Equivalence relations are the same as partitions
In this file we prove that there's a bijection between
the equivalence relations on a type, and the partitions of a type.
## Overview
Say `α` is a type, and `R : α → α → Prop` is a binary relation on `α`.
The following things are already in Lea... |
2d4e329c39bdebfe36d7994542bebb7c3e9bd06b | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/set_theory/game/basic.lean | 8dd1931a5721ded6f44dbb5dd3071b29d9baf381 | [
"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 | 27,347 | lean | /-
Copyright (c) 2019 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Reid Barton, Mario Carneiro, Isabel Longbottom, Scott Morrison, Apurva Nakade
-/
import set_theory.game.pgame
import tactic.abel
/-!
# Combinatorial games.
In this file we define the... |
1157dcedd4b104bbcef82346c36f59e149baf92d | 94637389e03c919023691dcd05bd4411b1034aa5 | /src/inClassNotes/higherOrderFunctions/higherOrderFunctions-example.lean | 420835327d109ca9a21aae9f1dd88ea138a6deae | [] | 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 | 590 | lean | def func (n : nat) : (nat → nat) :=
λ (m : ℕ), m + n
def foo (n : nat) : (nat → (string → bool)) :=
fun (m : nat),
fun (s : string),
tt
#check foo 1 2
#check foo
def x := func 3
#check func
-- func 3
-- λ (m : ℕ), 3 + m
-- x := λ (m : ℕ), 3 + m
#eval x 6
-- 3 + m
-- 3 + 6
-- 9
/-
def func (3 : nat) ... |
6e1a85e0c48cfe4ae78266e61b57da39357d69b0 | 159fed64bfae88f3b6a6166836d6278f953bcbf9 | /Structure/Generic/Instances/Sets.lean | f5f5879f0fd59bb8fb288ccd06b7c8fa33f18a8f | [
"MIT"
] | permissive | SReichelt/lean4-experiments | 3e56830c8b2fbe3814eda071c48e3c8810d254a8 | ff55357a01a34a91bf670d712637480089085ee4 | refs/heads/main | 1,683,977,454,907 | 1,622,991,121,000 | 1,622,991,121,000 | 340,765,677 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 663 | lean | import Structure.Generic.Axioms
import Structure.Generic.Instances.Basic
import Structure.Generic.Instances.Bundled
set_option autoBoundImplicitLocal false
--set_option pp.universes true
universes u v
section Sets
variable (M : Universe.{v})
-- TODO: We want sets to have an instance equivalence (i.e. equal... |
5b7f93471d40856d7e271327430491dd9bec342a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/analysis/calculus/specific_functions.lean | b75744a0095662b13f65dd65e9b916b8fb4e1fa9 | [
"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 | 23,680 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Floris van Doorn
-/
import analysis.calculus.iterated_deriv
import analysis.inner_product_space.euclidean_dist
import measure_theory.function.locally_integrable
i... |
7baea60783308968754e1dd95842740706c5c2b3 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/string/defs.lean | 016864c616abda6f0a2085f8dd9f329e24bef1bd | [
"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 | 541 | lean | import data.list.defs
namespace string
def map_tokens (c : char) (f : list string → list string) : string → string :=
intercalate (singleton c) ∘ f ∘ split (= c)
def over_list (f : list char → list char) : string → string :=
list.as_string ∘ f ∘ string.to_list
def split_on (c : char) (s : string) : list string :=
(... |
7ea31ffea2ec786560846eb248ffc5beab467cf3 | 1fd908b06e3f9c1252cb2285ada1102623a67f72 | /types/W.lean | b55fb0aa5a70fd3e5fe83b279c7e2b7776bc5411 | [
"Apache-2.0"
] | permissive | avigad/hott3 | 609a002849182721e7c7ae536d9f1e2956d6d4d3 | f64750cd2de7a81e87d4828246d1369d59f16f43 | refs/heads/master | 1,629,027,243,322 | 1,510,946,717,000 | 1,510,946,717,000 | 103,570,461 | 0 | 0 | null | 1,505,415,620,000 | 1,505,415,620,000 | null | UTF-8 | Lean | false | false | 6,033 | lean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Theorems about W-types (well-founded trees)
-/
import .sigma .pi
universes u v w
hott_theory
namespace hott
open decidable
open hott.eq hott.equiv hott.is_equiv ... |
1dac457d09d4cacb7e50037cadf7793c86a76425 | 6de8ea38e7f58ace8fbf74ba3ad0bf3b3d1d7ab5 | /solutions2/Warmup/solutions.lean | 2594d5a7423c2e9e0cfcdfe8882afd7a53f4e3a3 | [] | no_license | KinanBab/CS591K1-Labs | 72f4e2c7d230d4e4f548a343a47bf815272b1f58 | d4569bf99d20c22cd56721024688cda247d1447f | refs/heads/master | 1,587,016,758,873 | 1,558,148,366,000 | 1,558,148,366,000 | 165,329,114 | 5 | 2 | null | 1,550,689,848,000 | 1,547,252,664,000 | TeX | UTF-8 | Lean | false | false | 587 | lean | -- Warmup: first order logic (10 points)
-- Two simple first order logic tautologies, these are true
-- in intuisionistic first order.
-- Part A: 5 points
theorem simple_one (t: Type) (P1 P2: t-> Prop) :
(∀{a: t}, P1 a ∧ P2 a) -> (∀{b: t}, P1 b) :=
begin
intros,
apply and.left,
apply a,
end
-- Part B: 5 poin... |
1381cd2d80c0eb619ad74577c9db732581a2439e | 27a31d06bcfc7c5d379fd04a08a9f5ed3f5302d4 | /src/Lean/Data/Options.lean | a26ec5ed12dd5566501297c4e9cc9b5cdbd40c5c | [
"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 | joehendrix/lean4 | 0d1486945f7ca9fe225070374338f4f7e74bab03 | 1221bdd3c7d5395baa451ce8fdd2c2f8a00cbc8f | refs/heads/master | 1,640,573,727,861 | 1,639,662,710,000 | 1,639,665,515,000 | 198,893,504 | 0 | 0 | Apache-2.0 | 1,564,084,645,000 | 1,564,084,644,000 | null | UTF-8 | Lean | false | false | 5,348 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich and Leonardo de Moura
-/
import Lean.ImportingFlag
import Lean.Data.KVMap
namespace Lean
def Options := KVMap
def Options.empty : Options := {}
instance : ... |
ad958b1bbd858eed568e57047177d128e6e35fed | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/fourier.lean | b89aff5426f5010e3356fea938ad74feb80b81ab | [
"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 | 10,678 | lean | /-
Copyright (c) 2021 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import analysis.complex.circle
import analysis.inner_product_space.l2_space
import measure_theory.function.continuous_map_dense
import measure_theory.function.l2_sp... |
1e0b06fb656f542afc6f50b28a1e4b98c0edbef1 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/measure_theory/function/conditional_expectation.lean | d226d485c59b675cc5b13270074b9b9df971f1a8 | [
"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 | 86,936 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
import analysis.inner_product_space.projection
import measure_theory.function.l2_space
import measure_theory.decomposition.radon_nikodym
/-! # Conditional expectation
... |
f09238e15d20057b045f72a7c120db3af4419f8c | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/types/arrow.hlean | 81e730a63535c32fad07e6287f0cb02bb5729f38 | [
"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 | 5,729 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about arrow types (function spaces)
-/
import types.pi
open eq equiv is_equiv funext pi is_trunc unit
namespace pi
variables {A A... |
2dfb5886ee64b7c45217f13b8bfcc642faaeb906 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/group/fundamental_domain.lean | c97dba8abe1bcef952c38bc7181a1db20dfe2eed | [
"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 | 31,972 | 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 measure_theory.group.action
import measure_theory.integral.set_integral
/-!
# Fundamental domain of a group action
> THIS FILE IS SYNCHRONIZED WITH M... |
fa0a2bfa9a68982a32ef2f8eb933e060b30328f3 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/algebra/invertible.lean | 7b225dca65c6ac4d6fe42a1c98178f80a1f8473d | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,166 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Anne Baanen
-/
import algebra.group.units
import algebra.ring.basic
/-!
# Invertible elements
This file defines a typeclass `invertible a` for elements `a` with a two-sided
multiplicati... |
fa7aa163a9b899b7585ef6413cb393965ad9caea | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/linterMissingDocs.lean | e0e8730a2492cfe3562319cd863acd411ed21d42 | [
"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 | 2,224 | lean | import Lean
set_option linter.all true
/-- A doc string -/
def hasDoc (x : Nat) := x
def noDoc (x : Nat) := x
private def auxDef (x : Nat) := x
namespace Foo
protected def noDoc2 (x : Nat) := x
end Foo
open Foo in
def openIn (x : Nat) := x
open Foo in
/-- A doc string -/
def openIn2 (x : Nat) := x
set_option pp... |
c44f4d77d6ddfe932e23c5fdab65d22902b38b74 | 0845ae2ca02071debcfd4ac24be871236c01784f | /tests/bench/const_fold.lean | 5fe0fa2fa6fadd8aaeec3850e8f00e375cf3f478 | [
"Apache-2.0"
] | permissive | GaloisInc/lean4 | 74c267eb0e900bfaa23df8de86039483ecbd60b7 | 228ddd5fdcd98dd4e9c009f425284e86917938aa | refs/heads/master | 1,643,131,356,301 | 1,562,715,572,000 | 1,562,715,572,000 | 192,390,898 | 0 | 0 | null | 1,560,792,750,000 | 1,560,792,749,000 | null | UTF-8 | Lean | false | false | 2,137 | lean | inductive Expr
| Var : Nat → Expr
| Val : Nat → Expr
| Add : Expr → Expr → Expr
| Mul : Expr → Expr → Expr
open Expr Nat
def mkExpr : Nat → Nat → Expr
| 0 v := if v = 0 then Var 1 else Val v
| (n+1) v := Add (mkExpr n (v+1)) (mkExpr n (v-1))
def appendAdd : Expr → Expr → Expr
| (Add e₁ e₂) e₃ := Add e₁ (appendAd... |
37468a9dcee4da3df77b8c49d37f2576bcb53a2d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebra/module/equiv.lean | 5cb99e06014d4dd62634dfeebd3f487539d4f50a | [
"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 | 25,422 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nathaniel Thomas, Jeremy Avigad, Johannes Hölzl, Mario Carneiro, Anne Baanen,
Frédéric Dupuis, Heather Macbeth
-/
import algebra.module.linear_map
/-!
# (Semi)linear equivalences
> TH... |
080bfd2878192420bce68733f6fba2369f3cb99d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/control/bitraversable/lemmas.lean | 5f17fe41de7d6fff9ae56df13975adc21ca7892a | [] | 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 | 4,161 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author(s): Simon Hudon
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.control.bitraversable.basic
import Mathlib.PostPort
universes u l_1 u_1
namespace Mathlib
/... |
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