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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
af7bb3a35d90756b48cc2751108c4f603996361b | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/geometry/euclidean/basic.lean | 693be4db98b7c0bcd186fa4286812a7d6321f2e2 | [
"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 | 55,991 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers, Manuel Candales
-/
import analysis.inner_product_space.projection
import analysis.special_functions.trigonometric.inverse
import algebra.quadratic_discriminant
import linea... |
24f64c38b06cbbbe3711d30c9678a9e160aa7d05 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/data/set/basic.lean | 9b437b04c483c9f4c370c7f9784efbf2599eb695 | [
"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 | 81,242 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura
-/
import logic.unique
import order.boolean_algebra
/-!
# Basic properties of sets
Sets in Lean are homogeneous; all their elements have the same type... |
b96e175a48bb966408e02cc7db851f61a0e505cc | 6fca17f8d5025f89be1b2d9d15c9e0c4b4900cbf | /src/game/world2/level3.lean | 09c1383141373f8bf3bd9dc0579c061219c477cd | [
"Apache-2.0"
] | permissive | arolihas/natural_number_game | 4f0c93feefec93b8824b2b96adff8b702b8b43ce | 8e4f7b4b42888a3b77429f90cce16292bd288138 | refs/heads/master | 1,621,872,426,808 | 1,586,270,467,000 | 1,586,270,467,000 | 253,648,466 | 0 | 0 | null | 1,586,219,694,000 | 1,586,219,694,000 | null | UTF-8 | Lean | false | false | 1,290 | lean | import mynat.definition -- hide
import mynat.add -- hide
import game.world2.level2 -- hide
namespace mynat -- hide
/-
# Addition World
## Level 3: `succ_add`
Oh no! On the way to `add_comm`, a wild `succ_add` appears. `succ_add`
is the proof that `succ(a) + b = succ(a + b)` for `a` and `b` in your
natural number ty... |
86f615407a37d3a8223de746697c998eb84d53a0 | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch6/ex0308.lean | 95a86e4cd174e505f5d0cb8d2479ab90ada583b3 | [] | 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 | 26 | lean | export nat (succ add sub)
|
fce0ac415cdd463b8f117e503d23326a3cea4fa1 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/basic.lean | d58af9230685e9ec29c3a008e7d0950d2a1ac67a | [
"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 | 613 | lean | import
tactic.alias
tactic.cache
tactic.clear
tactic.converter.interactive
tactic.converter.apply_congr
tactic.core
tactic.ext
tactic.elide
tactic.explode
tactic.show_term
tactic.find
tactic.generalize_proofs
tactic.interactive
tactic.suggest
tactic.lift
tactic.localized
tactic.mk_iff_... |
59f3b89d25f9dd760361944fdfdefe8b7b7b362c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_geometry/elliptic_curve/weierstrass.lean | ea856a6ac27ac54aeca61960909f21a62f2eb854 | [
"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 | 33,547 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, David Kurniadi Angdinata
-/
import algebra.cubic_discriminant
import ring_theory.norm
import tactic.linear_combination
/-!
# Weierstrass equations of elliptic curves
>... |
4d6a15872cdbf3b6213a05b58d85374a6dbe5754 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebraic_topology/cech_nerve.lean | fd2452124d89424eceacb2fbd909f2799017283e | [
"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 | 16,350 | lean | /-
Copyright (c) 2021 Adam Topaz. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Adam Topaz
-/
import algebraic_topology.simplicial_object
import category_theory.limits.shapes.wide_pullbacks
import category_theory.limits.shapes.finite_products
import category_theory.a... |
bbd417d7dec3fb31fcba17c0fa1fc1b37684b31a | acc85b4be2c618b11fc7cb3005521ae6858a8d07 | /data/sigma/basic.lean | ef374a733dc0cc46cd318b0a79e0033588849543 | [
"Apache-2.0"
] | permissive | linpingchuan/mathlib | d49990b236574df2a45d9919ba43c923f693d341 | 5ad8020f67eb13896a41cc7691d072c9331b1f76 | refs/heads/master | 1,626,019,377,808 | 1,508,048,784,000 | 1,508,048,784,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,449 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
variables {α : Type*} {β : α → Type*}
instance [inhabited α] [inhabited (β (default α))] : inhabited (sigma β) :=
⟨⟨default α, default (β (default α))⟩⟩
instance [h... |
a4b734071706a8a34a84e46e04a8868a345a7d51 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Compiler/IR/LLVMBindings.lean | dec031c79843665e4ed1b3a8bda5892688d7bfac | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | Kha/lean4 | 1005785d2c8797ae266a303968848e5f6ce2fe87 | b99e11346948023cd6c29d248cd8f3e3fb3474cf | refs/heads/master | 1,693,355,498,027 | 1,669,080,461,000 | 1,669,113,138,000 | 184,748,176 | 0 | 0 | Apache-2.0 | 1,665,995,520,000 | 1,556,884,930,000 | Lean | UTF-8 | Lean | false | false | 14,358 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Siddharth Bhat
-/
namespace LLVM
/-!
This file defines bindings for LLVM. The main mechanisms
are to:
- Mirror the values of C enumerations.
- Create opaque values for LLVM's p... |
b18ba8705b13425431aab6845b1237d14efd34cf | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/topology/metric_space/basic.lean | 91fb9271b1a34a5b4ec6f271cf8fba923151fe26 | [
"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 | 101,122 | 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 topology.metric_space.emetric_space
import topology.algebra.ordered.basic
import data.... |
06cb46383c44d6cda6362961fc896a75d8426a07 | f7c63613a4933f66368ef2802a50c417a46cddfc | /library/init/meta/derive.lean | 776a8e1b34eafa73a074a63ba8c1e48240537c0a | [
"Apache-2.0"
] | permissive | avigad/lean | 28cef71cd8c4eae53f342c87f81ca78d7cc75874 | 5410178203ab5ae854b5804586ace074ffd63aae | refs/heads/master | 1,608,801,379,340 | 1,504,894,459,000 | 1,505,174,163,000 | 22,361,408 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,773 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Attribute that can automatically derive typeclass instances.
-/
prelude
import init.meta.attribute
import init.meta.interactive_base
import init.meta.mk_has_r... |
ba2ec7761a38e38484bfe8272f796d7ea8cedc85 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Init/WF.lean | 1ba5015043cec366eb4879d3dfa645326cddca2a | [
"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",
"Apache-2.0",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | gebner/lean4 | d51c4922640a52a6f7426536ea669ef18a1d9af5 | 8cd9ce06843c9d42d6d6dc43d3e81e3b49dfc20f | refs/heads/master | 1,685,732,780,391 | 1,672,962,627,000 | 1,673,459,398,000 | 373,307,283 | 0 | 0 | Apache-2.0 | 1,691,316,730,000 | 1,622,669,271,000 | Lean | UTF-8 | Lean | false | false | 12,142 | 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
-/
prelude
import Init.SizeOf
import Init.Data.Nat.Basic
universe u v
inductive Acc {α : Sort u} (r : α → α → Prop) : α → Prop where
| intro (x : α) (h : (y... |
a19d26f2f97740b1491bf007c39d05f2ff32b881 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/PPTopDownAnalyze.lean | 668e7b39f9be2c6614f6fa676e06bfec24d2fe16 | [
"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 | 13,869 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import Lean
import Std
open Lean Lean.Meta Lean.Elab Lean.Elab.Term Lean.Elab.Command
open Lean.PrettyPrinter
def checkDelab (e : Expr) (tgt? : Option Term) (... |
3137af4669eb074e78acbfc5a8c802fd2bbcb5bb | d1a52c3f208fa42c41df8278c3d280f075eb020c | /tests/lean/run/trace.lean | 694b771188d3142b2d950bf93c715e3229c54446 | [
"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 | 1,489 | lean | import Lean.CoreM
open Lean
structure MyState :=
(trace_state : TraceState := {})
(s : Nat := 0)
abbrev M := CoreM
def tst1 : M Unit :=
do trace[module] (m!"hello" ++ MessageData.nest 9 (m!"\n" ++ "world"));
trace[module.aux] "another message";
pure ()
def tst2 (b : Bool) : M Unit :=
traceCtx `modul... |
b8037f08428a038869ef448187260492d18911df | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebraic_geometry/AffineScheme.lean | 654dc6e6d7b16609cb41cc639ace59f6c6a5012e | [
"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 | 23,128 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.Gamma_Spec_adjunction
import algebraic_geometry.open_immersion
import category_theory.limits.opposites
import ring_theory.localization.inv_submono... |
f99ff67ba21bd7674cd70eaae48a1b3a469c6081 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/big_operators/nat_antidiagonal.lean | a4ab8866ce7afe13c6b1420bd8da218f1c204a1b | [
"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 | 2,739 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson
-/
import data.finset.nat_antidiagonal
import algebra.big_operators.basic
/-!
# Big operators for `nat_antidiagonal`
This file contains theorems relevant to big opera... |
fe0a002184d262629cb3d74341b73a0f53044485 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/algebra/linear_recurrence.lean | cd96d5ffd884daa9072906b5f12e4fdd9fdfd2de | [
"Apache-2.0"
] | permissive | Lix0120/mathlib | 0020745240315ed0e517cbf32e738d8f9811dd80 | e14c37827456fc6707f31b4d1d16f1f3a3205e91 | refs/heads/master | 1,673,102,855,024 | 1,604,151,044,000 | 1,604,151,044,000 | 308,930,245 | 0 | 0 | Apache-2.0 | 1,604,164,710,000 | 1,604,163,547,000 | null | UTF-8 | Lean | false | false | 7,816 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker
-/
import data.polynomial.ring_division
import linear_algebra.dimension
import algebra.polynomial.big_operators
/-!
# Linear recurrence
Informally, a "linear recur... |
707cbecdf3adecd61c7d02a239e48173a636e2d4 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/bicategory/functor_bicategory.lean | 0d1cd9f0e4618ed987435b97fc07f79b17c02f8b | [
"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 | 2,769 | lean | /-
Copyright (c) 2022 Yuma Mizuno. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yuma Mizuno
-/
import category_theory.bicategory.natural_transformation
/-!
# The bicategory of oplax functors between two bicategories
Given bicategories `B` and `C`, we give a bicateg... |
52fdef2ce7066e7188b7be84cda8e2c92a4c5ac6 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/algebra/hierarchy_design.lean | 151bd8f90095e173c5399e0a1305d496307a5b42 | [
"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 | 7,844 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Eric Weiser
-/
import tactic.doc_commands
/-!
# Documentation of the algebraic hierarchy
A library note giving advice on modifying the algebraic hierarchy.
(It is not... |
caf4bb2ef5c024de1ecf8e2bb7af3cb8b4047171 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/occurs_check_bug1.lean | d686ebc6f8da9b8131f92cbde996cb87523b6087 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 511 | lean | open nat prod
open decidable
constant modulo1 (x : ℕ) (y : ℕ) : ℕ
infixl `mod`:70 := modulo1
constant gcd_aux : ℕ × ℕ → ℕ
noncomputable definition gcd (x y : ℕ) : ℕ := gcd_aux (x, y)
theorem gcd_def (x y : ℕ) : gcd x y = @ite (y = 0) (nat.has_decidable_eq (pr2 (x, y)) 0) nat x (gcd y (x mod y)) :=
sorry
constant s... |
45426e2774e2f1716231c2eff8fd5dbda3120b08 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/order/filter/basic_auto.lean | b82fac908f2333af2d4b5ed0eaee6265efc26d39 | [] | 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 | 105,471 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Jeremy Avigad
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.order.zorn
import Mathlib.order.copy
import Mathlib.data.set.finite
import M... |
fc8d4dc45f69d9c76d76ea7abfba69c809b83ef2 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast_cc2.lean | c9d018ffc53f8be4e191b8684f435f18061d2059 | [
"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 | 572 | lean | set_option blast.strategy "cc"
example (a b c d : nat) : a == b → b = c → c == d → a == d :=
by blast
example (a b c d : nat) : a = b → b = c → c == d → a == d :=
by blast
example (a b c d : nat) : a = b → b == c → c == d → a == d :=
by blast
example (a b c d : nat) : a == b → b == c → c = d → a == d :=
by blast
e... |
018354c60a9d8faedd529caa8ed4f1bf1839992f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/thunk.lean | 3a460e8253d7b103cb7840b5ad1d0d068644aa2c | [
"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 | 525 | lean | #eval (Thunk.pure 1).get
#eval (Thunk.mk fun _ => 2).get
#eval
let t1 := Thunk.mk fun _ => dbg_trace 4; 5
let t2 := Thunk.mk fun _ => dbg_trace 3; 0
let v2 := t2.get
let v1 := t1.get
v1 + v2
#eval
let t1 := Thunk.pure 8 |>.map fun n => dbg_trace 7; n
let t2 := Thunk.mk fun _ => dbg_trace 6; 0
let v2 := ... |
ca92a5301f53957c57cda0df69ec3c20d991da5b | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/matchErrorLocation.lean | df15599fdc8e24dc63e3189e850ed3b9141ec5ef | [
"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 | 133 | lean | --
def head {α} (xs : List α) (h : xs = [] → False) : α :=
match (generalizing := false) he:xs with
| [] => h he
| x::_ => x
|
d77e01476fa888b816535a909b77b711ae5853a8 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/natural_transformation.lean | 7422dcd92a3e6d9f03c79f274d216ae859a09ad6 | [
"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 | 2,969 | lean | /-
Copyright (c) 2017 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Tim Baumann, Stephen Morgan, Scott Morrison, Floris van Doorn
Defines natural transformations between functors.
Introduces notations
`τ.app X` for the components of natural transfo... |
ac72c594076a9b7bf88ad2ce74b1f34bdc78609e | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/analysis/calculus/darboux.lean | 39b859ab57c4a2341d2c1acebd4f7e0cef1bf2fd | [
"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 | 4,805 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.calculus.mean_value
/-!
# Darboux's theorem
In this file we prove that the derivative of a differentiable function on an interval takes all
interm... |
1e3de6af9fd6772eef2b5cd10930fd938b341343 | 22e97a5d648fc451e25a06c668dc03ac7ed7bc25 | /src/algebra/field.lean | 1c70c6da74753771a44804b7dccac85297a98d59 | [
"Apache-2.0"
] | permissive | keeferrowan/mathlib | f2818da875dbc7780830d09bd4c526b0764a4e50 | aad2dfc40e8e6a7e258287a7c1580318e865817e | refs/heads/master | 1,661,736,426,952 | 1,590,438,032,000 | 1,590,438,032,000 | 266,892,663 | 0 | 0 | Apache-2.0 | 1,590,445,835,000 | 1,590,445,835,000 | null | UTF-8 | Lean | false | false | 15,859 | lean | /-
Copyright (c) 2014 Robert Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Lewis, Leonardo de Moura, Johannes Hölzl, Mario Carneiro
-/
import algebra.ring
import algebra.group_with_zero
open set
set_option default_priority 100 -- see Note [default prior... |
6692b6b3e9d794ab6ad8898f39a0d84f18cc0719 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/set/disjointed.lean | 6b427e8a54f2ca7505ef67a28f079d4d07d82973 | [
"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 | 3,780 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Disjointed sets
-/
import data.set.lattice data.nat.basic tactic.wlog
open set classical lattice
local attribute [instance] prop_decidable
universes u v w x
variables ... |
553ab8e5cd3c109d0e2b209baf0fc45392e8ad9a | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/attribute_bug1.lean | a85e401654b8efc35ce02252e874225e096d0594 | [
"Apache-2.0"
] | permissive | soonhokong/lean-osx | 4a954262c780e404c1369d6c06516161d07fcb40 | 3670278342d2f4faa49d95b46d86642d7875b47c | refs/heads/master | 1,611,410,334,552 | 1,474,425,686,000 | 1,474,425,686,000 | 12,043,103 | 5 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 476 | lean | open tactic
constant f : nat → nat
constant fdef : ∀ n, f n = n + 1
example (n : nat) : f n = n + 1 :=
by simp -- Failed as expected, since fdef is not marked as [simp]
local attribute [simp] fdef
example (n : nat) : f n = n + 1 :=
by simp -- Succeeded as expected
local attribute [-simp] fdef
print fdef -- we... |
d7a9f96b2c3ee131215068c0523e24970de63dda | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/init/data/array/basic_auto.lean | e5a7d663ec9df7f90ef825ff286a366cbe7e1ea4 | [] | 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 | 10,633 | 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, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.data.nat.default
import Mathlib.Lean3Lib.init.data.bool.default
import Mathlib.Lean3Lib.... |
acfb515db4c41694c7097f17e9c37774e90f45a9 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/subst_tac1.lean | c0bad7e89782d36aeb8fa3282cfa9bc06524ba9a | [
"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 | 372 | lean | constant p : nat → Prop
open tactic
set_option pp.all true
definition ex (a b c : nat) (H : p c) : a = b → p a → p b :=
by do intro `H1, intro `H2,
get_local `a >>= subst,
trace_state,
assumption
#print ex
example (a b c : nat) (H : p c) : a = b → p a → p b :=
by do intros,
get_local `b >>= s... |
2c5febe3071faa3046861b51bc774072196fb27c | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Util/FindLevelMVar.lean | f6ce8d040427dd07eddaaaf74db0a3e84703affb | [
"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 | 1,566 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Daniel Selsam
-/
import Lean.Expr
namespace Lean
namespace FindLevelMVar
abbrev Visitor := Option LMVarId → Option LMVarId
mutual
partial def visit (p : LMVarId → Bool) (e... |
8f9c8a238316daffa9ce722a0eeb4e538264219e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/geometry/manifold/tangent_bundle.lean | db791abf647c96de735f4ac39ffb8f39ca7bd1cc | [
"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 | 31,370 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.vector_bundle
import geometry.manifold.smooth_manifold_with_corners
import data.set.prod
/-!
# Basic smooth bundles
In general, a smooth bundl... |
000fbe3db71444817badb49f18943fa790efe8c5 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/nat_pp.lean | 010698c334bd02dd00b6144b9ebaef4200475b63 | [
"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 | 69 | lean | #reduce nat.add 3 6
open nat
#reduce nat.add 3 6
#reduce (3:nat) + 6
|
c1a77ed57b68ceed9c33ad7222dea4a51c0c7c09 | a7602958ab456501ff85db8cf5553f7bcab201d7 | /Notes/Theorem_Proving_in_Lean/Chapter2/2.8.lean | 8e1de3d64b384fa621dbb8787c03a78f6359866e | [] | no_license | enlauren/math-logic | 081e2e737c8afb28dbb337968df95ead47321ba0 | 086b6935543d1841f1db92d0e49add1124054c37 | refs/heads/master | 1,594,506,621,950 | 1,558,634,976,000 | 1,558,634,976,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,367 | lean | -- 2.8 Dependent Types
-- The short explanation of what makes dependent type theory "dependent",
-- is that types can depend on parameters. For example, with list:
constant α: Type 0
#check list
#check list α
#check list ℕ
#check list bool
#check list Prop
#check list (Type 1)
-- The type `list α` depends on the pa... |
f8baabb659aa22daba456357a360252feb664ee6 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/psigma/order.lean | d148bc589dbbc568fee8a88e88eb75619279beef | [
"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 | 7,350 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Minchao Wu
-/
import data.sigma.lex
import order.bounded_order
/-!
# Lexicographic order on a sigma type
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to t... |
f88be15b4eed2a85e5f18b3c71ad1af2355fb3e3 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/int/modeq.lean | 3fdca9184eea41dee47e7d37fd169700b76401fc | [
"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 | 6,132 | 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.nat.modeq
import tactic.ring
namespace int
/-- `a ≡ b [ZMOD n]` when `a % n = b % n`. -/
def modeq (n a b : ℤ) := a % n = b % n
notation a ` ≡ `:50 b ` [ZM... |
14628cb56312a1d1de1252f43e320f7e5032cc7a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Data/Position.lean | 23bcbb6a5f6721eac99c3fcb1a22cba4b30c0c26 | [
"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 | 2,688 | lean | /-
Copyright (c) 2018 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.Data.Format
import Lean.ToExpr
namespace Lean
structure Position where
line : Nat
column : Nat
deriving Inhabited, ... |
72a5949e2c323123b187362edd5de7a94395e6a4 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/order/filter/bases.lean | e6c727a021d50d25d8be728cf8d8a76807855737 | [
"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 | 39,401 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov, Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import order.filter.basic
import data.set.countable
import data.pprod
/-!
# Filter bases
A filter basis `B : filte... |
db46e274d00e4fc571b17c416061008b9bf67def | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/seq/seq.lean | 05f1631891f2ac21aaa8233ee1ab5b39e6a8a1fa | [
"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 | 28,430 | 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.lazy_list
import data.nat.basic
import data.stream.init
import data.seq.computation
universes u v w
/-
coinductive seq (α : Type u) : Type u
| nil : seq... |
efb5cb78f2eb9c57756b91eb47c0695238742a6b | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /hott/arity.hlean | cd1d4d2b3290ffaf28ea4817a9c34784f162e2b0 | [
"Apache-2.0"
] | permissive | davidmueller13/lean | 65a3ed141b4088cd0a268e4de80eb6778b21a0e9 | c626e2e3c6f3771e07c32e82ee5b9e030de5b050 | refs/heads/master | 1,611,278,313,401 | 1,444,021,177,000 | 1,444,021,177,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,900 | 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
Theorems about functions with multiple arguments
-/
variables {A U V W X Y Z : Type} {B : A → Type} {C : Πa, B a → Type} {D : Πa b, C a b → Type}
{E : Πa ... |
6d5e6f72b87adcf2e0a30a13be4af8f12883a81e | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/geometry/manifold/derivation_bundle.lean | 68308fc1b2656812cfe16ddf7a2aa878083baa18 | [
"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 | 6,364 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri
-/
import geometry.manifold.algebra.smooth_functions
import ring_theory.derivation
/-!
# Derivation bundle
In this file we define the derivations at a point of a m... |
f6966ba24d2af24c2ce94a8054c4197d8bada9b9 | 9f1929110d7ce695e60c30a12c83161ea7eadc15 | /experiments/bench/pose1000.lean | a5991c245083450360c60f116ddcad9405cdf4c3 | [] | no_license | andres-erbsen/coq-experiments | 4820d05608c445eba0ea965e23bd9cf39a5c418f | 2018edd397a23c0429d316c96e86f9be7a9678f1 | refs/heads/master | 1,619,935,106,811 | 1,578,518,728,000 | 1,578,518,728,000 | 120,850,328 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 204 | lean | open tactic
lemma test : true :=
begin
iterate_exactly 1000 (do pose (`_) none `(trivial), skip),
exact trivial
end
-- 0.61user 0.04system 0:00.65elapsed 99%CPU (0avgtext+0avgdata 96756maxresident)k
|
ad966c02560998f4ffaeda7d2d8ea9a2f9c2233f | fe84e287c662151bb313504482b218a503b972f3 | /src/group_theory/perm_extra.lean | eb82b52493d72ca6fac942f082b2e6443637382c | [] | no_license | NeilStrickland/lean_lib | 91e163f514b829c42fe75636407138b5c75cba83 | 6a9563de93748ace509d9db4302db6cd77d8f92c | refs/heads/master | 1,653,408,198,261 | 1,652,996,419,000 | 1,652,996,419,000 | 181,006,067 | 4 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,990 | lean | import group_theory.perm.cycles
import data.vector
import data.fin_extra
import group_theory.cyclic
open int.modeq
variables {α : Type*} [decidable_eq α]
def finperm (n : ℕ) := equiv.perm (fin n)
namespace finperm
variable (n : ℕ)
instance : group (finperm n) := by { dsimp[finperm], apply_instance }
ins... |
fd39c20f11654057f488d4c58c8a5d036f7a2b76 | c8b4b578b2fe61d500fbca7480e506f6603ea698 | /src/flt_three/edwards.lean | 0311c109c7a47b05c1050ee50cae23507590c862 | [] | no_license | leanprover-community/flt-regular | aa7e564f2679dfd2e86015a5a9674a6e1197f7cc | 67fb3e176584bbc03616c221a7be6fa28c5ccd32 | refs/heads/master | 1,692,188,905,751 | 1,691,766,312,000 | 1,691,766,312,000 | 421,021,216 | 19 | 4 | null | 1,694,532,115,000 | 1,635,166,136,000 | Lean | UTF-8 | Lean | false | false | 22,331 | lean | /-
Copyright (c) 2020 Ruben Van de Velde. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
-/
import .primes
import .spts
import .odd_prime_or_four
lemma zsqrtd.associated_norm_of_associated {d : ℤ} {f g : ℤ√d}
(h : associated f g) : associated f.norm g.norm :=
begin
obtain... |
5e2d3fc0ff117ae01d1a2d2b3531714743920226 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/topology/instances/ennreal.lean | 312107b09fbdf4b429d9116aa2f6581f0221f69f | [
"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 | 40,850 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
-/
import topology.instances.nnreal
/-!
# Extended non-negative reals
-/
noncomputable theory
open classical set filter metric
open_locale classical
open_locale topologi... |
695bc3bd99d2b137580e5df84db7b658e609a9c4 | e00ea76a720126cf9f6d732ad6216b5b824d20a7 | /src/ring_theory/adjoin_root.lean | 3ec46fcb13aa203494dbb8875830b77d30a4343a | [
"Apache-2.0"
] | permissive | vaibhavkarve/mathlib | a574aaf68c0a431a47fa82ce0637f0f769826bfe | 17f8340912468f49bdc30acdb9a9fa02eeb0473a | refs/heads/master | 1,621,263,802,637 | 1,585,399,588,000 | 1,585,399,588,000 | 250,833,447 | 0 | 0 | Apache-2.0 | 1,585,410,341,000 | 1,585,410,341,000 | null | UTF-8 | Lean | false | false | 4,176 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Chris Hughes
Adjoining roots of polynomials
-/
import data.polynomial ring_theory.principal_ideal_domain
/-!
# Adjoining roots of polynomials
This file defines the ... |
21d03792020bb6fabe2f1051b8a9beb3e8bd3b10 | d6124c8dbe5661dcc5b8c9da0a56fbf1f0480ad6 | /test/run/ir/types.lean | 2bac5f777b1e37afe4181f7fcae4d6bc37a3c16c | [
"Apache-2.0"
] | permissive | xubaiw/lean4-papyrus | c3fbbf8ba162eb5f210155ae4e20feb2d32c8182 | 02e82973a5badda26fc0f9fd15b3d37e2eb309e0 | refs/heads/master | 1,691,425,756,824 | 1,632,122,825,000 | 1,632,123,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,048 | lean | import Papyrus
open Papyrus
def checkTypeRoundtrips (type : «Type») : IO PUnit :=
LlvmM.run do
let ref ← type.getRef
let actual ← ref.purify
unless type == actual do
ref.dump
IO.println s!"expected {repr type}, got {repr actual}"
throw <| IO.userError "did not round trip"
macro tk:"#c... |
cb526e541f213a1e51c3566ea55a2cd55d49f085 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /test/set.lean | e264d107075472ebe015f5028d4782fe5a7c5c10 | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 1,110 | lean | import data.matrix.notation
example (x : ℕ) (h : x = 3) : x + x + x = 9 :=
begin
set y := x with ←h_xy,
guard_hyp y : ℕ := x,
guard_hyp h_xy : x = y,
guard_hyp h : y = 3,
guard_target y + y + y = 9,
set! z : ℕ := y,
guard_target y + y + y = 9,
simp [h]
end
example : true :=
let X1 := (![![1, 0], ![0,... |
d412687f147a240a2d26a3a9fe6e064f1df7d1dc | 46125763b4dbf50619e8846a1371029346f4c3db | /src/category/monad/writer.lean | 51e580c7c57a7c45a49bc288c73bfd68a48edc4b | [
"Apache-2.0"
] | permissive | thjread/mathlib | a9d97612cedc2c3101060737233df15abcdb9eb1 | 7cffe2520a5518bba19227a107078d83fa725ddc | refs/heads/master | 1,615,637,696,376 | 1,583,953,063,000 | 1,583,953,063,000 | 246,680,271 | 0 | 0 | Apache-2.0 | 1,583,960,875,000 | 1,583,960,875,000 | null | UTF-8 | Lean | false | false | 7,371 | 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 tactic.basic category.monad.basic
universes u v w
structure writer_t (ω : Type u) (m : Type u... |
0e2e55d6991920e5d2043153b9381ebd396339d0 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/analysis/normed_space/bounded_linear_maps.lean | 819f0c571e5a0fab0758ba44fe4fc1d6d9ef7837 | [
"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 | 22,060 | lean | /-
Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Johannes Hölzl
-/
import analysis.normed_space.multilinear
/-!
# Continuous linear maps
This file defines a class stating that a map between normed vector spaces is (... |
2e3441f862b3757c74c7140bc5ba9788636c0463 | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love05_inductive_predicates_homework_sheet.lean | e98fb71f75f8a62d52b58cd0c471b54c188f74d5 | [] | no_license | MaschavanderMarel/logical_verification_2020 | a41c210b9237c56cb35f6cd399e3ac2fe42e775d | 7d562ef174cc6578ca6013f74db336480470b708 | refs/heads/master | 1,692,144,223,196 | 1,634,661,675,000 | 1,634,661,675,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,999 | lean | import .lovelib
/- # LoVe Homework 5: Inductive Predicates
Homework must be done individually. -/
set_option pp.beta true
set_option pp.generalized_field_notation false
namespace LoVe
/- ## Question 1 (3 points): A Type of λ-Terms
Recall the following type of λ-terms from question 3 of exercise 4. -/
inductiv... |
e2f918d2fb7006969dae27f03ab4ac7ea8376dc6 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/analysis/fourier.lean | 3ef9081a630d572511b45645c2385b453b5c5124 | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,200 | 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 measure_theory.function.continuous_map_dense
import measure_theory.function.l2_space
import measure_theory.measure.haar
import analysis.complex.circle
import... |
c2fe52cf72d445fe5f77486cd24e0e337ee2d5dc | a45212b1526d532e6e83c44ddca6a05795113ddc | /src/algebra/gcd_domain.lean | 772892fee9c3cbbd33336c5e30bcc96f42d2c287 | [
"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 | 26,084 | 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
GCD domain and integral domains with normalization functions
TODO: abstract the domains to to semi domains (i.e. domains on semirings) to include ℕ and... |
f6cf19fa076228e76e6543413729ddb3c9e11253 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/single_obj.lean | 1279f34f75d2bffb93e7c0b5d47d0938ff0e8287 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,969 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.endomorphism
import Mathlib.category_theory.category.Cat
import Mathlib.a... |
5f2a118a6d076d5a2c8c053b3b0d4242033110b8 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/lift.lean | 147c7fdf82a3a94293ce54dfec9bda6eb780a7fc | [
"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 | 449 | lean | open nat
namespace test
inductive {u} lift (A : Type u) : Type (u+1)
| up : A → lift
namespace lift
definition down {A : Type} (a : lift A) : A :=
lift.rec (λ a, a) a
theorem down_up {A : Type} (a : A) : down (up a) = a :=
rfl
theorem up_down {A : Type} (a' : lift A) : up (down a') = a' :=
lift.cases_on a' (λ a, r... |
7fb31649d08c2382830de33c0c6be6c3a2093d59 | c56b090bd37dca8992124f0b09c22340ef7e27bc | /src/lecture6.lean | 276e66d86d69f494cf9d5fd01d1409827228bdcd | [] | no_license | stjordanis/math135 | df113ed7ae9f81b27316cc5b000f88b385391a81 | e270f3a9cae435c066c0d2574f03a8adbe40b7b5 | refs/heads/master | 1,677,069,951,721 | 1,611,905,122,000 | 1,611,905,122,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 904 | lean | import tactic
import data.nat.parity
import data.set
import data.set.basic
namespace lecture6
open set
example : {n | 4 ∣ n + 1} ⊆ {k | odd k} :=
begin
rw set.subset_def,
intros x hx,
simp at hx,
simp,
cases nat.even_or_odd x,
{
apply nat.even_succ.symm.mpr,
refine dvd_of_mul_left_dvd _,
use... |
c83bd4c4608726de3ec6d629cd60640983d35a30 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /src/Lean/Elab/Command.lean | df6e42f5b91d91336c947e8b0c71d89c86cd21bb | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 18,381 | 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.Parser.Command
import Lean.ResolveName
import Lean.Meta.Reduce
import Lean.Elab.Log
import Lean.Elab.Term
import Lean.Elab.Binders
import Lean.E... |
c9cbb8417930c5a55459c37d9f94f808fe693f32 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/sym/basic.lean | 556b140d654e5ccee7c34491c462d3e849180729 | [
"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 | 17,929 | lean | /-
Copyright (c) 2020 Kyle Miller All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import data.multiset.basic
import data.vector.basic
import data.setoid.basic
import tactic.apply_fun
/-!
# Symmetric powers
This file defines symmetric powers of a type. ... |
e5979915fe5384daf29ca0ff452989b6cea8876a | e030b0259b777fedcdf73dd966f3f1556d392178 | /tests/lean/run/simplifier_custom_relations.lean | 6eac102dfd56b6fcbf75fe08d1729afd7098424d | [
"Apache-2.0"
] | permissive | fgdorais/lean | 17b46a095b70b21fa0790ce74876658dc5faca06 | c3b7c54d7cca7aaa25328f0a5660b6b75fe26055 | refs/heads/master | 1,611,523,590,686 | 1,484,412,902,000 | 1,484,412,902,000 | 38,489,734 | 0 | 0 | null | 1,435,923,380,000 | 1,435,923,379,000 | null | UTF-8 | Lean | false | false | 1,022 | lean | open tactic
universe l
constants (A : Type.{l}) (rel : A → A → Prop)
(rel.refl : ∀ a, rel a a)
(rel.symm : ∀ a b, rel a b → rel b a)
(rel.trans : ∀ a b c, rel a b → rel b c → rel a c)
attribute [refl] rel.refl
attribute [symm] rel.symm
attribute [trans] rel.trans
constants (x y z : A) (... |
2cf64659c2371bc2689eacc684c63d31a832a527 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/special_functions/trigonometric/inverse_deriv.lean | 8897aaace3c24e9cecc8ebe655b29a7e72f7783e | [
"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 | 7,953 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.trigonometric.inverse
import analysis.special_functions.trigonometric... |
0a802a63cbebe57b633bc3a7bb4e5808d421e3fe | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Lean/DocString.lean | 2e7555f81f55dee56a92eba6c7c6ed17f16a8c3e | [
"Apache-2.0"
] | permissive | subfish-zhou/leanprover-zh_CN.github.io | 30b9fba9bd790720bd95764e61ae796697d2f603 | 8b2985d4a3d458ceda9361ac454c28168d920d3f | refs/heads/master | 1,689,709,967,820 | 1,632,503,056,000 | 1,632,503,056,000 | 409,962,097 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,493 | 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.MonadEnv
namespace Lean
private builtin_initialize docStringExt : MapDeclarationExtension String ← mkMapDeclarationExtension `docstring
def a... |
8c12b5197d0c2436897ba9a13618c509697a21a3 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/data/buffer/parser/numeral.lean | db45fd8dee01c483a1d89de5c1b83169389a1805 | [
"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 | 5,106 | lean | /-
Copyright (c) 2020 Yakov Pechersky. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yakov Pechersky
-/
import data.buffer.parser.basic
/-!
# Numeral parsers
This file expands on the existing `nat : parser ℕ` to provide parsers into any type `α` that
can be represen... |
c0eff348fa904843115756586d64872f1c397cd9 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/change_tac.lean | e27165fb1ad9f2ff0fcfc705b3be67f9b256c017 | [
"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 | 884 | lean | example : 1 + 2 = 3 :=
begin
change 2 + 1 = 3,
trace_state,
refl
end
example : 1 + 2 = 3 :=
begin
change 2 + 2 = 3 -- ERROR
end
example (h : 1 + 2 = 3) : 2 + 2 = 4 :=
begin
change 2 + 1 = 3 at h,
trace_state,
refl
end
example (h : 1 + 2 = 3) : 2 + 2 = 4 :=
begin
change 2 + 1 = 3 at h h, -- ERROR
end
... |
3e2edd78b3cf4d0eeecdef795e42c2031568818c | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/algebra/ordered_group.lean | d2a10ba9edb5c5ebd276bb8d6e3f9132f04740de | [
"Apache-2.0"
] | permissive | anthony2698/mathlib | 03cd69fe5c280b0916f6df2d07c614c8e1efe890 | 407615e05814e98b24b2ff322b14e8e3eb5e5d67 | refs/heads/master | 1,678,792,774,873 | 1,614,371,563,000 | 1,614,371,563,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 30,826 | lean | /-
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro, Johannes Hölzl
-/
import algebra.ordered_monoid
/-!
# Ordered groups
This file develops the basics of ordered groups.
## Implementat... |
4cdf74aef7b0e2ac0a22e3d55af682e350935a24 | 785b41b0993f39cbfa9b02fe0940ce3f2f51a57d | /conf/all4.lean | 5cb2d19a17bc2725001dc1698e6138f56553f98b | [
"MIT"
] | permissive | loso3000/OpenWrt-DIY-1 | 75b0d70314d703203508218a29acefc3b914d32d | 5858be81ee44199908cbaa1a752b17505c9834e8 | refs/heads/main | 1,690,532,461,283 | 1,631,008,241,000 | 1,631,008,241,000 | 354,817,508 | 1 | 0 | MIT | 1,617,623,493,000 | 1,617,623,492,000 | null | UTF-8 | Lean | false | false | 13,115 | lean | CONFIG_TARGET_x86=y
CONFIG_TARGET_x86_64=y
CONFIG_TARGET_x86_64_DEVICE_generic=y
# 设置固件大小
CONFIG_TARGET_KERNEL_PARTSIZE=64
CONFIG_TARGET_ROOTFS_PARTSIZE=1516
# EFI支持:
CONFIG_GRUB_IMAGES=y
CONFIG_EFI_IMAGES=y
# CONFIG_VMDK_IMAGES is not set
# 不压缩efi
CONFIG_TARGET_ROOTFS_TARGZ=n
# CONFIG_TARGET_IMAGES_GZIP is not set
# ... |
f221f3b4d2aa8c9a6e7e431bc0218fbdc108d7a2 | d29d82a0af640c937e499f6be79fc552eae0aa13 | /src/data/matrix/basic.lean | f856492dfbc12e7ca7f59b8be851d08ab81fce73 | [
"Apache-2.0"
] | permissive | AbdulMajeedkhurasani/mathlib | 835f8a5c5cf3075b250b3737172043ab4fa1edf6 | 79bc7323b164aebd000524ebafd198eb0e17f956 | refs/heads/master | 1,688,003,895,660 | 1,627,788,521,000 | 1,627,788,521,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 49,300 | lean | /-
Copyright (c) 2018 Ellen Arlt. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ellen Arlt, Blair Shi, Sean Leather, Mario Carneiro, Johan Commelin, Lu-Ming Zhang
-/
import algebra.big_operators.pi
import algebra.module.pi
import algebra.module.linear_map
import algeb... |
d39c6cd787e789ccf1434d7a606e1bb879f5b5b8 | 618003631150032a5676f229d13a079ac875ff77 | /src/algebra/group/default.lean | 054de35a2b1dadfc04d42a7037838aebcf42eaaa | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 463 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Michael Howes
-/
import algebra.group.type_tags
import algebra.group.conj
import algebra.group.with_one
import algebra.group.anti_hom
import algebra.gr... |
12309ec99090c3866cb3dded61cd571ac5dddea0 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/group_ring_action.lean | 520c11f19a127d31f5213bf39357d36dd34161c5 | [
"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 | 4,408 | 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 algebra.ring.equiv
import group_theory.group_action.group
import ring_theory.subring.basic
/-!
# Group action on rings
This file defines the typeclass of monoid actin... |
a03d7a62579d3482861952c32a0fb3d3c94db215 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/structure_default_value_issue.lean | d3f638c94d05afa81f9136c1b0914a720ff750ae | [
"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 | 690 | lean | namespace test
universes u v w
structure lens (α : Type u) (β : Type v) :=
(get : α → β)
(modify : α → (β → β) → α)
(set : α → β → α := λ a b, modify a (λ _, b))
def lens.compose {α : Type u} {β : Type v} {σ : Type w} (t : lens β σ) (s : lens α β) : lens α σ :=
{ get := t^.get ∘ s^.get,
modify := λ a f, s^... |
e12f8835f455fbe7a783000181e816cd136d5912 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/field_theory/cardinality.lean | 2d48f1aa45b252e806d84070a48535c65952fd81 | [
"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 | 3,379 | lean | /-
Copyright (c) 2022 Eric Rodriguez. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Rodriguez
-/
import algebra.ring.ulift
import data.mv_polynomial.cardinal
import data.rat.denumerable
import field_theory.finite.galois_field
import logic.equiv.transfer_instance
... |
ab0b951d26eb5b81416f8f52f40460e26868d2f0 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/listLength.lean | 9b45b6d8e4462167b3018f2e2ece17663eba4fcb | [
"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 | 80 | lean | set_option trace.compiler.ir.init true
def f (xs : List Nat) :=
2 * xs.length
|
3d03a9a75613be82580722cb2b7f0cc2be10e1bd | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/order/lattice.lean | 8daa58e55f13d7d106edefa10d26beab34b7879f | [
"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 | 16,600 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Defines the inf/sup (semi)-lattice with optionally top/bot type class hierarchy.
-/
import order.basic
set_option old_structure_cmd true
universes u v w
variables {... |
73782982ead37261eeb1a1bb0e64efa099acdc36 | e4e5bde6f14c01a8a34267a9d7bb45e137735696 | /src/exercises/logic_and_proof/16.lean | 74c9b56c69551a1f99c76b6022b2b44b7fcee55b | [] | no_license | jamesdabbs/proofs | fb5dab6f3c4f3f5f952fca033ec649888ae787c6 | 00baf355b08e7aec00de34208e1b2cb4a8d7b701 | refs/heads/master | 1,645,645,735,797 | 1,569,559,636,000 | 1,569,559,636,000 | 211,238,170 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,734 | lean | /-
1. Fill in the sorry’s in the last three proofs below.
-/
import data.set
section ex1
open function int algebra
def f (x : ℤ) : ℤ := x + 3
def g (x : ℤ) : ℤ := -x
def h (x : ℤ) : ℤ := 2 * x + 3
example : injective f :=
assume x1 x2,
assume h1 : x1 + 3 = x2 + 3, -- Lean knows this is the same as f x1 = f x2
sho... |
26dbbdfc043b4d8fea63d22918377f4f69d3743a | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/tactic/equiv_rw.lean | 6fcceabd49fd985902ab376bf84ba5097bd05da8 | [
"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 | 12,104 | 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 tactic.simp_result
import tactic.clear
import control.equiv_functor.instances
/-!
# The `equiv_rw` tactic transports goals or hypotheses along equivalences.
... |
e84b755ae502fb9ae6e473e4e93ae6b02c4b3b4b | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/real/nnreal.lean | 15685b7067bbac7b74b9cb92a6a8f8f7b6cb2231 | [
"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 | 36,143 | lean | /-
Copyright (c) 2018 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import order.conditionally_complete_lattice.group
import algebra.algebra.basic
import algebra.order.nonneg.field
import algebra.order.field.canonical.basic
import dat... |
11b7b6d231faea22beaa0f1070a70c64b7c8d1ed | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/category_theory/limits/functor_category.lean | 3f9a96a0f049be2d2e43a436c0426d5aad137609 | [
"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 | 4,791 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.limits.preserves
open category_theory category_theory.category
namespace category_theory.limits
universes v u -- declare the `v`'s first; se... |
ec197c9cf037fa3721be70bb7ccbf047ea658d55 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/set/prod.lean | 4084dc924d3001e382261030ca631db596fcf3cb | [
"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 | 18,631 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Johannes Hölzl, Patrick Massot
-/
import data.set.basic
/-!
# Sets in product and pi types
This file defines the product of sets in `α × β` and in `Π i, α i` along wi... |
896ce9a59fbe8e6eb732d8b11a011fb1b19f3f52 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/topology/metric_space/completion.lean | 5f3269b118b4cd88a40d8a7586e507b5bb2825b2 | [
"Apache-2.0"
] | permissive | urkud/mathlib | eab80095e1b9f1513bfb7f25b4fa82fa4fd02989 | 6379d39e6b5b279df9715f8011369a301b634e41 | refs/heads/master | 1,658,425,342,662 | 1,658,078,703,000 | 1,658,078,703,000 | 186,910,338 | 0 | 0 | Apache-2.0 | 1,568,512,083,000 | 1,557,958,709,000 | Lean | UTF-8 | Lean | false | false | 8,126 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import topology.uniform_space.completion
import topology.metric_space.isometry
import topology.instances.real
/-!
# The completion of a metric space
Completio... |
c09425310e9189e70a2331de2158ce265a582c58 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/topology/category/Top/open_nhds.lean | 8d0a1d791540eac09a160c229d5e179df96f2136 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 1,807 | 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 topology.category.Top.opens
import category_theory.full_subcategory
open category_theory
open topological_space
open opposite
universe u
variables {X Y : To... |
da338b948f7ca7f724b1af4a350959ab27f95974 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /src/Init/Data/Array.lean | 6e7adb07e52b31e1e7c20161125e58eac7614844 | [
"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 | 259 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
prelude
import Init.Data.Array.Basic
import Init.Data.Array.QSort
import Init.Data.Array.BinSearch
|
ec8bf5b060ce074957a3527ec76441f9c1f5cea6 | b32d3853770e6eaf06817a1b8c52064baaed0ef1 | /test/super_examples.lean | 35498db1997519c37ec69ddee45c6d16deb338e9 | [] | no_license | gebner/super2 | 4d58b7477b6f7d945d5d866502982466db33ab0b | 9bc5256c31750021ab97d6b59b7387773e54b384 | refs/heads/master | 1,635,021,682,021 | 1,634,886,326,000 | 1,634,886,326,000 | 225,600,688 | 4 | 2 | null | 1,598,209,306,000 | 1,575,371,550,000 | Lean | UTF-8 | Lean | false | false | 3,176 | lean | import super
open tactic
set_option trace.super true
set_option profiler true
def prime (n : ℕ) := ∀ d, d ∣ n → d = 1 ∨ d = n
set_option trace.check true
lemma nat_mul_cancel_one {m n : ℕ} : m ≠ 0 → m * n = m → n = 1 :=
by cases m; super [gt, nat.zero_lt_succ,
nat.eq_of_mul_eq_mul_left, mul_one, zero_mul, nat.not_l... |
897b572a0aaaf60d3532533f9408d6bce45e0fa7 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/topology/order.lean | f8130767c1cae70dd25dddc8665ae6a65852d154 | [
"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 | 29,025 | 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 topology.tactic
/-!
# Ordering on topologies and (co)induced topologies
Topologies on a fixed type `α` are ordered, by reverse inclusion.
Tha... |
24a67cba52012d2f711a8ab325119a567eefb55a | 60bf3fa4185ec5075eaea4384181bfbc7e1dc319 | /src/game/sup_inf/unbdd_iff.lean | 4b961cc170cd69d9463cb5c0cb5fab6db032d8be | [
"Apache-2.0"
] | permissive | anrddh/real-number-game | 660f1127d03a78fd35986c771d65c3132c5f4025 | c708c4e02ec306c657e1ea67862177490db041b0 | refs/heads/master | 1,668,214,277,092 | 1,593,105,075,000 | 1,593,105,075,000 | 264,269,218 | 0 | 0 | null | 1,589,567,264,000 | 1,589,567,264,000 | null | UTF-8 | Lean | false | false | 1,516 | lean | import data.real.basic
namespace xena -- hide
/-
# Chapter 3 : Sup and Inf
## Level 12
-/
def unboundedAbove (A : set ℝ) := ∀ x : ℝ, x > 0 → ∃ a ∈ A, x < a
-- Might want to make this into an axiom to be placed on the left
def archimPrinciple := ∀ x : ℝ, x > 0 → ∃ n : ℕ, n > 0 ∧ (1/n : ℝ) < x
/- Lemma
The Archime... |
bfd0ef6725110e9decee3f472f3c44de7662db07 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/deps/galois_stdlib/src/galois/data/sigma.lean | 976bf9ad6e82ab215fa60cf522a67d3dbb05d065 | [
"Apache-2.0"
] | permissive | pnwamk/reopt-vcg | f8b56dd0279392a5e1c6aee721be8138e6b558d3 | c9f9f185fbefc25c36c4b506bbc85fd1a03c3b6d | refs/heads/master | 1,631,145,017,772 | 1,593,549,019,000 | 1,593,549,143,000 | 254,191,418 | 0 | 0 | null | 1,586,377,077,000 | 1,586,377,077,000 | null | UTF-8 | Lean | false | false | 656 | lean |
namespace galois
namespace sigma
variables {α : Type*} {β : α → Type*}
-- from matlib
instance [h₁ : decidable_eq α] [h₂ : ∀a, decidable_eq (β a)] : decidable_eq (sigma β)
| ⟨a₁, b₁⟩ ⟨a₂, b₂⟩ := match a₁, b₁, a₂, b₂, h₁ a₁ a₂ with
| _, b₁, _, b₂, is_true (eq.refl a) :=
match b₁, b₂, h₂ a b₁ b₂ with
| _, _, ... |
3e39a1d9e0e3c3d322afc42c45a5649ddbf28a88 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/group_theory/monoid_localization.lean | 065cf9e382305504fc79249d59e009de1f0ed21f | [
"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 | 49,353 | lean | /-
Copyright (c) 2019 Amelia Livingston. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Amelia Livingston
-/
import group_theory.congruence
import algebra.group.units
import algebra.punit_instances
/-!
# Localizations of commutative monoids
Localizing a commutative r... |
4fba764c277a673d2ac6e2326b63238ec03b75c1 | 0c1546a496eccfb56620165cad015f88d56190c5 | /tests/lean/run/using_smt3.lean | d2cfae2aba7c54eda9aa79cb1e893c4831a83718 | [
"Apache-2.0"
] | permissive | Solertis/lean | 491e0939957486f664498fbfb02546e042699958 | 84188c5aa1673fdf37a082b2de8562dddf53df3f | refs/heads/master | 1,610,174,257,606 | 1,486,263,620,000 | 1,486,263,620,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 595 | lean | open tactic
lemma ex1 : let x := 1 in ∀ y, x = y → y = 1 :=
by using_smt $ smt_tactic.intros >> get_local `x >>= (fun a, trace a)
open tactic_result
meta def fail_if_success {α : Type} (t : smt_tactic α) : smt_tactic unit :=
λ ss ts, match t ss ts with
| success _ _ := failed ts
| exception .... |
266724804d81a07a5c7c9ca216138d679c774053 | bcdb337a071a6642a282053e6c285336b9716772 | /Tensor/Enumerable.lean | 26937d329e1396d5416a215159da0ea6fed6fac6 | [] | no_license | kovach/lean4-sparse-matrix-test | 87a8b3a0b7785976eccfaf69b0d289940549f446 | be9f6029883c88bf1f7588a0e6d3cde033368809 | refs/heads/master | 1,678,513,001,774 | 1,614,027,522,000 | 1,614,027,522,000 | 341,329,194 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,249 | lean | -- Kyle Miller
import Init.Data.Nat.Basic
import Init.Core
import Tensor.Has
macro "exfalso" : tactic => `(apply False.elim)
def Function.leftInverse (g : β → α) (f : α → β) : Prop :=
∀ x, g (f x) = x
def Function.rightInverse (g : β → α) (f : α → β) : Prop :=
Function.leftInverse f g
structure Equiv (α : So... |
d2d3b40a1631489145b3290b40f52e7126c1b735 | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/vector/repeat_lemmas.lean | 7c737aba09edc1d54d31555f7e9e4017cf83bb62 | [
"Apache-2.0"
] | permissive | digama0/lean-protocol-support | eaa7e6f8b8e0d5bbfff1f7f52bfb79a3b11b0f59 | cabfa3abedbdd6fdca6e2da6fbbf91a13ed48dda | refs/heads/master | 1,625,421,450,627 | 1,506,035,462,000 | 1,506,035,462,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 624 | lean | import data.vector
universe variables u
namespace vector
variable {α : Type u}
variable {n : ℕ}
local infix `++`:65 := vector.append
@[simp]
theorem to_list_repeat (x : α) : to_list (repeat x n) = list.repeat x n :=
begin
induction n,
all_goals { simp [repeat] }
end
theorem repeat_succ_to_append {α : Type} (x... |
cea3657d2578208a9cf3e5812a631054884a988d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/control/equiv_functor/instances_auto.lean | 0ea3f6dca0151b3787a1858a94791154f339f2e5 | [] | 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 | 1,371 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.fintype.basic
import Mathlib.control.equiv_functor
import Mathlib.PostPort
universes u... |
39df89c6147864bfa8c71d109dd1ad570abbbbe2 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/algebra/group/freiman.lean | 9a04d8f0c74db5a6a9103370ead0aa1c4a84190e | [
"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 | 16,478 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies
-/
import algebra.big_operators.multiset
import data.fun_like.basic
/-!
# Freiman homomorphisms
In this file, we define Freiman homomorphisms. A `n`-Freiman homomorphism o... |
a3d1b49cfc96e6bb37d4316659e89437bd4e8e7b | 4b846d8dabdc64e7ea03552bad8f7fa74763fc67 | /library/tools/super/cdcl.lean | a891281ad3017258ad2ca2e32eb8670312426e54 | [
"Apache-2.0"
] | permissive | pacchiano/lean | 9324b33f3ac3b5c5647285160f9f6ea8d0d767dc | fdadada3a970377a6df8afcd629a6f2eab6e84e8 | refs/heads/master | 1,611,357,380,399 | 1,489,870,101,000 | 1,489,870,101,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 863 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner
-/
import .clause .clausifier .cdcl_solver
open tactic expr monad super
meta def cdcl_t (th_solver : tactic unit) : tactic unit := do
as_refutation, local_false ← target,... |
47a2b9a9ef9a2e19d74a14ca57d739acf6fe52f2 | d0c6b2ba2af981e9ab0a98f6e169262caad4b9b9 | /src/Init/Data/Array/Basic.lean | 8ec1eac84e5015804c498c55fe965ca832d9ba0a | [
"Apache-2.0"
] | permissive | fizruk/lean4 | 953b7dcd76e78c17a0743a2c1a918394ab64bbc0 | 545ed50f83c570f772ade4edbe7d38a078cbd761 | refs/heads/master | 1,677,655,987,815 | 1,612,393,885,000 | 1,612,393,885,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 27,330 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Data.Nat.Basic
import Init.Data.Fin.Basic
import Init.Data.UInt
import Init.Data.Repr
import Init.Data.ToString.Basic
import Init.Util
u... |
a51455059ebc86e0c2409eeb588d04deb81335ef | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/special_functions/complex/log_deriv.lean | 2d43df3418d50bb5b86becb401f9a63ba97c6ba6 | [
"Apache-2.0"
] | permissive | kbuzzard/mathlib | 2ff9e85dfe2a46f4b291927f983afec17e946eb8 | 58537299e922f9c77df76cb613910914a479c1f7 | refs/heads/master | 1,685,313,702,744 | 1,683,974,212,000 | 1,683,974,212,000 | 128,185,277 | 1 | 0 | null | 1,522,920,600,000 | 1,522,920,600,000 | null | UTF-8 | Lean | false | false | 6,336 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import analysis.special_functions.complex.log
import analysis.special_functions.exp_deriv
/-!
# Differ... |
d9f238899496a308fcb947f4643ec44680385b4b | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/set_theory/cardinal_ordinal.lean | 0306d8e4902a4941e6bfbcf54f024d14547bf30a | [
"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 | 38,202 | 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 set_theory.ordinal_arithmetic
import tactic.linarith
import logic.small
/-!
# Cardinals and ordinals
Relationships between... |
f19d198a766feea461f9a9606091c653ec5867b9 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/show_term_auto.lean | 6ea89dd1b925a2dc87171e942eaca66e62b7a0c0 | [] | 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 | 1,127 | 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.tactic.core
import Mathlib.PostPort
namespace Mathlib
namespace tactic.interactive
/--
... |
bcef69b6e80970d67cda24e9e3e5ba5b7aa4375f | 618003631150032a5676f229d13a079ac875ff77 | /src/linear_algebra/finsupp.lean | 0deea29944d3c39e96585ae6b131217fb7e50b2d | [
"Apache-2.0"
] | permissive | awainverse/mathlib | 939b68c8486df66cfda64d327ad3d9165248c777 | ea76bd8f3ca0a8bf0a166a06a475b10663dec44a | refs/heads/master | 1,659,592,962,036 | 1,590,987,592,000 | 1,590,987,592,000 | 268,436,019 | 1 | 0 | Apache-2.0 | 1,590,990,500,000 | 1,590,990,500,000 | null | UTF-8 | Lean | false | false | 17,115 | lean | /-
Copyright (c) 2019 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Johannes Hölzl
Linear structures on function with finite support `α →₀ M`.
-/
import data.monoid_algebra
noncomputable theory
open set linear_map submodule
open_locale classical
na... |
87bdc47f89f4ddbf2b54eed90400fa28bcd908f4 | b70031c8e2c5337b91d7e70f1e0c5f528f7b0e77 | /test/ring_exp.lean | 3d3b04537e08f1a56b05c327219bdb63b5a8d888 | [
"Apache-2.0"
] | permissive | molodiuc/mathlib | cae2ba3ef1601c1f42ca0b625c79b061b63fef5b | 98ebe5a6739fbe254f9ee9d401882d4388f91035 | refs/heads/master | 1,674,237,127,059 | 1,606,353,533,000 | 1,606,353,533,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,367 | lean | import tactic.ring_exp
import algebra.group_with_zero.power
universes u
section addition
/-!
### `addition` section
Test associativity and commutativity of `(+)`.
-/
example (a b : ℚ) : a = a := by ring_exp
example (a b : ℚ) : a + b = a + b := by ring_exp
example (a b : ℚ) : b + a = a + b := by ring_exp
example ... |
15e8d2bcc752fd6b666f15e5380cbaa7e8739332 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/algebra/big_operators/finprod.lean | 619f1f4b5c014c1d6ccc698f2ad44b41fed32aca | [
"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 | 38,328 | lean | /-
Copyright (c) 2020 Kexing Ying and Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying, Kevin Buzzard, Yury Kudryashov
-/
import algebra.big_operators.order
import algebra.indicator_function
import data.set.pairwise
/-!
# Finite products and s... |
70b5d514a7c784503987fe5cae253b9af2ebad1c | cf39355caa609c0f33405126beee2739aa3cb77e | /library/system/io_interface.lean | 67faa4450c63e915c19b48dcf0ec139271450864 | [
"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 | 4,200 | lean | /-
Copyright (c) 2018 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import data.buffer system.random
inductive io.error
| other : string → io.error
| sys : nat → io.error
inductive io.mode
| read | write | read_w... |
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