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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a5eeb745a448c7f3c9e489fcea09adaf13eb2f47 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/computability/halting.lean | 6f7b7b3d674d26da6c5249bd7633551b203c3b9f | [] | 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 | 8,375 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.computability.partrec_code
import Mathlib.PostPort
universes u_1 u_4 u_2 u_3
namespace Ma... |
6e790dfac6a84322e56e2280a8599350acb92cb9 | f4bff2062c030df03d65e8b69c88f79b63a359d8 | /kb_solns/sets_level04.lean | 965a59f4ebd6bfa126875e8f8cf4746d43cd4629 | [
"Apache-2.0"
] | permissive | adastra7470/real-number-game | 776606961f52db0eb824555ed2f8e16f92216ea3 | f9dcb7d9255a79b57e62038228a23346c2dc301b | refs/heads/master | 1,669,221,575,893 | 1,594,669,800,000 | 1,594,669,800,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,602 | lean | import game.sets.sets_level03 -- hide
namespace xena -- hide
variable X : Type --hide
/-
# Chapter 1 : Sets
## Level 4
-/
/- Axiom : set.subset.antisymm {A B : set X} (H : A β B) (G : B β A) :
A = B
-/
/-
To prove the theorem below, remember that you can use `split` to
change the goal into two goals, correspon... |
5ef54d1cda9e9f94601bc969f9d772a465a7bd9a | 491068d2ad28831e7dade8d6dff871c3e49d9431 | /tests/lean/run/is_true.lean | 537c8a122410c798d3a9b82b09e28000ebcfb1e2 | [
"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 | 218 | lean | import data.nat
open nat
example : is_true (2 = 2) := trivial
example : is_false (3 = 2) := trivial
example : is_true (2 < 3) := trivial
example : is_true (3 β£ 9) := trivial
example : is_false (3 β£ 7) := trivial
|
07b95407a6aeb2c70bb4ea9b280e73d9abb95d9c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/analysis/fourier/fourier_transform.lean | 99c4df079aeed85ee2b5b7b2b2ae5d71d9bdf277 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 11,779 | lean | /-
Copyright (c) 2023 David Loeffler. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Loeffler
-/
import analysis.complex.circle
import measure_theory.group.integration
import measure_theory.measure.haar.of_basis
/-!
# The Fourier transform
> THIS FILE IS SYNCH... |
285de1486147640054096378ff5e645265ad3108 | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/string/defs.lean | beab6e207c340a7a16289be4a15c330b63251b23 | [
"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 | 1,930 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Keeley Hoek, Floris van Doorn
-/
import data.list.defs
namespace string
/-- `s.split_on c` tokenizes `s : string` on `c : char`. -/
def split_on (s : string) (c : char) : l... |
a0255f3d6952339221c08a99dba0c4c34093ff5d | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/ring_theory/tensor_product.lean | 348e23c3c662e811c568898085c34c1380036b59 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 16,422 | 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 linear_algebra.tensor_product
import ring_theory.algebra
universes u vβ vβ vβ vβ
/-!
The tensor product of R-algebras.
We construct the R-algebra structur... |
414705402a6f7d676b55f0e733a65359e4498941 | 853df553b1d6ca524e3f0a79aedd32dde5d27ec3 | /src/category_theory/limits/shapes/constructions/pullbacks.lean | c89a7d62bd6b0f7cc104a6d1ced1074295042290 | [
"Apache-2.0"
] | permissive | DanielFabian/mathlib | efc3a50b5dde303c59eeb6353ef4c35a345d7112 | f520d07eba0c852e96fe26da71d85bf6d40fcc2a | refs/heads/master | 1,668,739,922,971 | 1,595,201,756,000 | 1,595,201,756,000 | 279,469,476 | 0 | 0 | null | 1,594,696,604,000 | 1,594,696,604,000 | null | UTF-8 | Lean | false | false | 3,907 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.pullbacks
universes v u
/-!
... |
48e627e532d19bd3f781c139eceb76a17ee8dece | ca1ad81c8733787aba30f7a8d63f418508e12812 | /clfrags/src/hilbert/wr/dc_neg.lean | a3f48df01daef6885bf5305714c81d3b6f750077 | [] | no_license | greati/hilbert-classical-fragments | 5cdbe07851e979c8a03c621a5efd4d24bbfa333a | 18a21ac6b2e890060eb4ae65752fc0245394d226 | refs/heads/master | 1,591,973,117,184 | 1,573,822,710,000 | 1,573,822,710,000 | 194,334,439 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 381 | lean | import core.connectives
import hilbert.wr.dc
namespace clfrags
namespace hilbert
namespace wr
namespace dc_neg
axiom dcnβ : Ξ {a b c d : Prop}, dc c d (dc b a (neg a)) β dc c d b
axiom dcnβ : Ξ {a b c d : Prop}, dc c d b β dc c d (dc b a (neg a))
end... |
5299e25de3054c5d6ef8edb97c66581e4af0366f | 85d23ae5fcdcd77981feb67549852ff901e8a583 | /cubes.lean | 5280ca6297edaf2606a8c3bcb31b605274ad2579 | [] | no_license | javra/cubes | 5b480abcf1a869335a82b4fb5357ec4d16ab56bc | 734bdf71b9086b0ba9ef7dba3ede0c71f10872cc | refs/heads/master | 1,611,513,591,851 | 1,489,495,303,000 | 1,489,495,303,000 | 84,469,571 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,251 | lean | /- THE CUBE CATEGORY -/
universes v u
inductive cmonad (Ξ± : Type u) | ll {} : cmonad
| rr {} : cmonad
| dim {} : Ξ± β cmonad
open cmonad
def bool_to_cmonad {Ξ± : Type u} : bool β cmonad Ξ±
| ff := ll
| tt := rr
instance inst_bool_to_cmonad (Ξ± : Type u... |
faee58d2aad08fc03727ed563bec13bb5c81bcc5 | 26ac254ecb57ffcb886ff709cf018390161a9225 | /src/deprecated/group.lean | eb2f5124f8f1cf195402b74fabd4069795d9083b | [
"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 | 12,514 | lean | /-
Copyright (c) 2019 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import algebra.group.type_tags
import algebra.group.units_hom
import algebra.ring
/-!
# Unbundled monoid and group homomorphisms (deprecated)
This file defines typ... |
a549287f186fbb34886c6956c6b55b546d0c8864 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/measure_theory/decomposition/signed_hahn.lean | c54a22e05ebb4e5bd2b230f25817245902c620ae | [
"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 | 21,736 | lean | /-
Copyright (c) 2021 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import measure_theory.measure.vector_measure
import order.symm_diff
/-!
# Hahn decomposition
This file proves the Hahn decomposition theorem (signed version). The Hahn de... |
7da4137edb7dd736a18dd72ea89e73119f67af55 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/analysis/asymptotics/superpolynomial_decay.lean | 78a91151052c8a51223ea7d352e8c6d945e1b8e7 | [
"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 | 15,105 | lean | /-
Copyright (c) 2021 Devon Tuma. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Devon Tuma
-/
import analysis.normed_space.ordered
import analysis.asymptotics.asymptotics
import topology.algebra.ordered.liminf_limsup
import data.polynomial.eval
/-!
# Super-Polynomial... |
9ef7157e625b168eb070f93eed0fee305e2c56a2 | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/topology/maps.lean | 31d544244a8ffea0df8ea852dc48297d150ed016 | [
"Apache-2.0"
] | permissive | cipher1024/mathlib | fee56b9954e969721715e45fea8bcb95f9dc03fe | d077887141000fefa5a264e30fa57520e9f03522 | refs/heads/master | 1,651,806,490,504 | 1,573,508,694,000 | 1,573,508,694,000 | 107,216,176 | 0 | 0 | Apache-2.0 | 1,647,363,136,000 | 1,508,213,014,000 | Lean | UTF-8 | Lean | false | false | 15,220 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Patrick Massot
-/
import topology.order
/-!
# Specific classes of maps between topological spaces
This file introduces the following properties of a m... |
d40c4ea7337654b014c30f89dfff160b57a6fdb7 | b794ca1df49bc5a3bd3fd5552eed3bc4f63b8b93 | /src/homework/hw4.lean | 544e571df9246f544fa2f6aef5df4a695df55395 | [] | no_license | akraisinger/cs2120f21 | 8235ac98375e04ffcec504cff5cab7833ee69e54 | 4ef83d7151bb6a284028092aa4f1d509c0eb8237 | refs/heads/main | 1,691,714,771,612 | 1,632,889,465,000 | 1,632,889,465,000 | 399,946,508 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,149 | lean | -- 1
example : 0 β 1 :=
begin
-- Β¬ (0 = 1)
-- (0 = 1) β false
assume h,
cases h,
end
-- 2
example : 0 β 0 β 2 = 3 :=
begin
assume h,
have f : false := h (eq.refl 0),
exact false.elim (f),
end
-- 3
example : β (P : Prop), P β ¬¬P :=
begin
assume P,
assume (p : P),
-- ¬¬P
-- Β¬P β false
-- (P β ... |
5bdb8bd8fcb8552d84599e63855c8b3573f423c3 | 5a5e1bb8063d7934afac91f30aa17c715821040b | /lean4SOS/SOS/Dyadic.lean | 4faa3c08de21b50c7ba98f69f4ac4e4dd4f2cb95 | [] | no_license | ramonfmir/leanSOS | 1883392d73710db5c6e291a2abd03a6c5b44a42b | 14b50713dc887f6d408b7b2bce1f8af5bb619958 | refs/heads/main | 1,683,348,826,105 | 1,622,056,982,000 | 1,622,056,982,000 | 341,232,766 | 1 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,741 | lean | import Init.Core
import Init.Data.Int
import Init.System.IO
structure Dyadic := (m : Int) (e : Int)
namespace Dyadic
syntax term "β" term : term
macro_rules | `($m β $e) => `(mk $m $e)
instance : ToString Dyadic where
toString x := s!"{x.m}β{x.e}"
-- Definitions.
def Neg : Dyadic β Dyadic :=
fun x => { m := ... |
46abb69bc6cdfb1ef2f09db38bf5186e30e84791 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/ring_theory/algebra_tower.lean | 99878f3a6a48ca3984c4c4742bce1063a244d3b4 | [
"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 | 13,151 | 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.invertible
import ring_theory.adjoin.fg
import linear_algebra.basis
import algebra.algebra.tower
import algebra.algebra.restrict_scalars
/-!
# Towers of algebra... |
56e80743344f2acff9e1e0d6f9531129f5bb099c | 9028d228ac200bbefe3a711342514dd4e4458bff | /src/data/finsupp/basic.lean | 75252d9fb792b3e163f7fa360850fe15b56c6815 | [
"Apache-2.0"
] | permissive | mcncm/mathlib | 8d25099344d9d2bee62822cb9ed43aa3e09fa05e | fde3d78cadeec5ef827b16ae55664ef115e66f57 | refs/heads/master | 1,672,743,316,277 | 1,602,618,514,000 | 1,602,618,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 77,339 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Scott Morrison
-/
import algebra.group.pi
import algebra.big_operators.order
import algebra.module.basic
import data.fintype.card
import data.finset.preimage
import dat... |
abfb441b59ece779b39b8fc225366648b9e184f0 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/homology/additive.lean | af7261722dc075074fd3a8e2c2dcea2adee50f64 | [
"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 | 11,206 | 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.homology.homology
import algebra.homology.single
import category_theory.preadditive.additive_functor
/-!
# Homology is an additive functor
When `V` i... |
2ba8f3defada359feaecf1e062fa40992a97206f | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/988.lean | 5fabf5bea807b466832669e9519850907b9100ef | [
"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 | 2,489 | lean | instance {Ξ± : Type u} : HAppend (Fin m β Ξ±) (Fin n β Ξ±) (Fin (m + n) β Ξ±) where
hAppend a b i := if h : i < m then a β¨i, hβ© else b β¨i - m, sorryβ©
def empty : Fin 0 β Nat := (nomatch Β·)
theorem append_empty (x : Fin i β Nat) : x ++ empty = x :=
funext fun i => dif_pos _
opaque f : (Fin 0 β Nat) β Prop
example : f... |
4fca18a6f860bb7fe7d362fc7bd05cd2b6e45251 | f3a5af2927397cf346ec0e24312bfff077f00425 | /src/game/world10/level18a.lean | 884f06657c78e317c1d2a47703a5d4e04e79426e | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/natural_number_game | 05c39e1586408cfb563d1a12e1085a90726ab655 | f29b6c2884299fc63fdfc81ae5d7daaa3219f9fd | refs/heads/master | 1,688,570,964,990 | 1,636,908,242,000 | 1,636,908,242,000 | 195,403,790 | 277 | 84 | Apache-2.0 | 1,694,547,955,000 | 1,562,328,792,000 | Lean | UTF-8 | Lean | false | false | 6,703 | lean | import game.world10.level17 -- hide
namespace mynat -- hide
-- todo INTRODUCE CONGR
lemma lt_irrefl (a : mynat) : Β¬ (a < a) :=
begin [nat_num_game]
intro h,
cases h with h1 h2,
apply h2,
exact h1,
end
lemma ne_of_lt (a b : mynat) : a < b β a β b :=
begin [nat_num_game]
intro h,
intro h1,
cases h with h... |
5cbc6d922c8629b3f09199a6d7d8fd58b02210e7 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/stream/basic.lean | 4f4aead265356a8479ded0efe02d2249150bc8eb | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 911 | lean | /-
Copyright (c) 2020 Gabriel Ebner, Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Simon Hudon
-/
import tactic.ext
import data.stream.init
import data.list.basic
import data.list.range
/-!
# Additional instances and attributes for streams... |
bf4d1073d0cdc8c40ba5285ead7a200df53f7a80 | 03bd658c402412f41d3026d1040ee8ca8c0fc579 | /src/list/min/basic.lean | 58ea688d32e9ef1f5f2f684aeccd4c44a9cbdc4d | [] | no_license | ImperialCollegeLondon/dots_and_boxes | c205f6dbad8af9625f56715e4d1bed96b0ac1022 | f7bd0b1603674a657170c5395adb717c4f670220 | refs/heads/master | 1,663,752,058,476 | 1,591,438,614,000 | 1,591,438,614,000 | 139,707,103 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,317 | lean | import data.list.basic tactic.linarith
import list.lemmas.long_lemmas misc_lemmas
open list
/-- The minimum element of a non-empty list-/
def list.min {X : Type*} [decidable_linear_order X] :
Ξ (L : list X), (L β []) β X
| ([]) hL := false.elim $ hL rfl
| (x :: []) hL := x
| (x :: y :: L) _ := min x (list.min (y :: ... |
e76dc3808e510b074bc80716cf8d7f46f399f515 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/625.lean | b40c72c61389197310a592efd4508a2d4fb979ab | [
"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 | 564 | lean | import Lean
open Lean Lean.PrettyPrinter
def foo : PUnit β PUnit := id
def x : PUnit := ()
@[appUnexpander foo] def unexpandFoo : Unexpander := fun _ => `(sorry)
#eval do
let e : Expr := mkApp (mkMData {} $ mkConst `foo [levelOne]) (mkConst `x)
formatTerm (β delab e)
#eval do
let opts := ({}: Options).setBo... |
191ee6a7b4f4214d0fa50ade4ec869298f273822 | 4bcaca5dc83d49803f72b7b5920b75b6e7d9de2d | /stage0/src/Init/Data/String/Basic.lean | 002d9641b7c2ef0dd452131c20fdcaa0d14c5068 | [
"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 | 17,075 | 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.Data.Char.Basic
import Init.Data.Option.Basic
universe u
def List.asString (s : List Char) : String :=
β¨sβ©... |
3c0e4a38cf7ce73cc635c6f6bb730475cead891c | 02fbe05a45fda5abde7583464416db4366eedfbf | /library/init/meta/local_context.lean | 590b7dd75dc42f3b4efb0aea59105ac63824654d | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 2,081 | lean | prelude
import init.meta.name init.meta.expr init.data.option.basic
meta structure local_decl :=
(unique_name : name)
(pp_name : name)
(type : expr)
(value : option expr)
(bi : binder_info)
(idx : nat)
meta def local_decl.to_expr : local_decl β expr
| β¨un, pn, y, _, bi, _β© := expr.local_const un pn bi y
/-- A local ... |
85b6b4cd3cba213d0cb28d3bc4a28f1659e85fc2 | e09201d437062e1f95e6e5360aab0c9f947901aa | /src/automata/epsnfa.lean | 2baee70a1b865b8950f9c188d8650c8ef73bdc3c | [] | no_license | VArtem/lean-regular-languages | 34f4b093f28ef2f09ba7e684e642a0f97c901560 | e877243188253d0ac17ccf0ae2da7bf608686ff0 | refs/heads/master | 1,683,590,111,306 | 1,622,307,234,000 | 1,622,307,234,000 | 284,232,653 | 7 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,074 | lean | import data.set.basic
import data.fintype.basic
import automata.nfa
open set
namespace epsnfa
structure epsNFA (S : Type) (Q : Type) [fintype Q] [decidable_eq Q] :=
(start : Q) -- starting state
(term : Q) -- terminal state (only one!)
(next : Q β S β set Q) -- transitions
(eps : Q β set Q) -- eps-tr... |
997932e6c6a21ffbeeabb3e42a49b5a20e59734d | c3de33d4701e6113627153fe1103b255e752ed7d | /algebra/lattice/complete_lattice.lean | 998a612895ea2e555ff189e9cd25cfa1aa6390d2 | [] | no_license | jroesch/library_dev | 77d2b246ff47ab05d55cb9706a37d3de97038388 | 4faa0a45c6aa7eee6e661113c2072b8840bff79b | refs/heads/master | 1,611,281,606,352 | 1,495,661,644,000 | 1,495,661,644,000 | 92,340,430 | 0 | 0 | null | 1,495,663,344,000 | 1,495,663,344,000 | null | UTF-8 | Lean | false | false | 19,998 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
Theory of complete lattices.
-/
import .bounded_lattice
set_option old_structure_cmd true
universes u v w wβ
variables {Ξ± : Type u} {Ξ² : Type v} {ΞΉ : Sort w} {ΞΉβ : So... |
a5d8dfb04243d89bc2d46c1cb7c1d4381bad6e75 | d31b9f832ff922a603f76cf32e0f3aa822640508 | /src/hott/hit/colimit.lean | c89117508617caa2a5dc398514ac4797167cd702 | [
"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 | 8,512 | lean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
Definition of general colimits and sequential colimits.
-/
import ..init
universes u v w
hott_theory
namespace hott
/- definition of a general colimit -/
open ho... |
60ef1e1d6d177b9b5b874a17dd1863055cfd74d5 | cf39355caa609c0f33405126beee2739aa3cb77e | /library/init/data/default.lean | 396c368f1a12611e83a642a34faf9bab3a5349de | [
"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 | 472 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.data.basic init.data.sigma init.data.nat init.data.char init.data.string
import init.data.list init.data.sum init.data.subtype init.data... |
075a02b457b81fa7d3846a185f59181c3a5daaa3 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/playground/environment_extension.lean | fbc47155f72d5074feaae577861a5f44bc12dbea | [
"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 | 6,087 | lean | import init.lean init.lean.parser.syntax
namespace Lean
/-- An extension of the State held by an `environment` object. The new State
holds objects of Type `entryTy`, which optionally are persisted to the
.olean file and collected when loading imports. Objects can be retrieved
using an appropriate `stateTy`... |
b672e0d8a17fbe1e85c2618f491a94119acc868c | 618003631150032a5676f229d13a079ac875ff77 | /src/topology/sequences.lean | 4e95d334d826ac3576eece19a495ab21ac705cc2 | [
"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 | 8,480 | lean | /-
Copyright (c) 2018 Jan-David Salchow. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jan-David Salchow, Patrick Massot
-/
import topology.bases
import topology.subset_properties
/-!
# Sequences in topological spaces
In this file we define sequences in topological ... |
a12f45e0668095e96a73ab28e1987c7878b95b55 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/field/basic.lean | 3ba5aa0e83b4ec9e5a79214abe49d45da403f0c8 | [
"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 | 21,808 | 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 HΓΆlzl, Mario Carneiro
-/
import algebra.hom.ring
import data.rat.defs
/-!
# Division (semi)rings and (semi)fields
This file introduces fields ... |
0e5159612fa17d02ebecea6f925598b15d06f735 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/linear_algebra/matrix/determinant.lean | f8b3209765491b5b6d28df8c42f2ef2120572cb6 | [
"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 | 29,317 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Tim Baanen
-/
import data.matrix.pequiv
import data.matrix.block
import data.fintype.card
import group_theory.perm.fin
import group_theory.perm.sign
import algebra.... |
20fbc245653ae0fef3a24cec9985b3f03526b058 | 302c785c90d40ad3d6be43d33bc6a558354cc2cf | /src/group_theory/congruence.lean | 57519d86fbe36f56e37a9e4f1be5af969bb87667 | [
"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 | 44,442 | 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 data.setoid.basic
import algebra.group.pi
import algebra.group.prod
import data.equiv.mul_add
import group_theory.submonoid.operations
/-!
# Congruence ... |
4217bedf49acee4e451b4fcb5d6cac71bc4e17e4 | 2c096fdfecf64e46ea7bc6ce5521f142b5926864 | /src/Lean/Elab/Notation.lean | 710f6d728c17965681c2287ea4570e4b882d7160 | [
"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 | 7,469 | lean | /-
Copyright (c) 2021 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Elab.Syntax
import Lean.Elab.AuxDef
import Lean.Elab.BuiltinNotation
namespace Lean.Elab.Command
open Lean.Syntax
open Lean.Parser.Term hiding ... |
1e8fe91b295d62f4c431355942b365498ef50f7c | 137c667471a40116a7afd7261f030b30180468c2 | /src/algebra/group/units.lean | 946153b2d77cfc362abd3159211fcf322d1943de | [
"Apache-2.0"
] | permissive | bragadeesh153/mathlib | 46bf814cfb1eecb34b5d1549b9117dc60f657792 | b577bb2cd1f96eb47031878256856020b76f73cd | refs/heads/master | 1,687,435,188,334 | 1,626,384,207,000 | 1,626,384,207,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,622 | lean | /-
Copyright (c) 2017 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Mario Carneiro, Johannes HΓΆlzl, Chris Hughes, Jens Wagemaker
-/
import algebra.group.basic
import logic.nontrivial
/-!
# Units (i.e., invertible elements) of a multiplicative mo... |
352e3816cfffb975642929fc5d6db5eab448ce27 | 1546f9083f4babf70df0329497d1ee05adc8c665 | /src/monoidal_categories_reboot/monoid_object.lean | e0080d8c52fb05626a4d6ce15d5e2b9ef4c45915 | [
"Apache-2.0"
] | permissive | khoek/monoidal-categories-reboot | 0899b0d4552ff039388042059c91f7207c6c34e5 | ed3df8ecce5d4e3d95cb858911bad12bb632cf8a | refs/heads/master | 1,588,877,903,131 | 1,554,987,273,000 | 1,554,987,273,000 | 180,791,863 | 0 | 0 | null | 1,554,987,295,000 | 1,554,987,295,000 | null | UTF-8 | Lean | false | false | 8,246 | lean | -- Copyright (c) 2018 Michael Jendrusch. All rights reserved.
import .monoidal_category
import .braided_monoidal_category
import tactic.rewrite_search
import .monoidal_functor
import .slice_tactic
open tactic.rewrite_search.metric
open tactic.rewrite_search.strategy
open tactic.rewrite_search.tracer
open category_theo... |
3984b04e6af32db05d0ab0f54a40141ed7f2340b | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/metric_space/holder.lean | 6a4e9cb72c3886ee4d55ec9580534e1ef9252717 | [
"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 | 9,684 | 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 topology.metric_space.lipschitz
import analysis.special_functions.pow
/-!
# HΓΆlder continuous functions
In this file we define HΓΆlder continuity on a... |
b555f51b250e50e3ec07318418d64ae59c326da7 | a9d0fb7b0e4f802bd3857b803e6c5c23d87fef91 | /tests/lean/run/basic.lean | d72bfaa70d7bb55dde55b948d28e4550e21f9f86 | [
"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 | 1,793 | lean | prelude
constant {l1 l2} A : Type l1 β Type l2
check A
definition {l} tst (A : Type*) (B : Type*) (C : Type l) : Type* := A β B β C
check tst
constant {l} group : Type (l+1)
constant {l} carrier : group.{l} β Type l
noncomputable definition to_carrier (g : group) := carrier g
check to_carrier.{1}
section
variable ... |
c5dd88fd516a7180d32c7643fa92a7b0edbc4bb4 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/monoidal/linear.lean | 30269ad6723b55c740a3a25405ea62bebf97d733 | [
"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 | 1,543 | lean | /-
Copyright (c) 2022 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.linear.linear_functor
import category_theory.monoidal.preadditive
/-!
# Linear monoidal categories
A monoidal category is `monoidal_linear R`... |
db3c790293ee88b19d846a22821696a579331903 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/injIssue.lean | f9cd6c2dfe5f22026860ab40196e876c25bbac7b | [
"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 | 120 | lean | theorem ex1 (n m : Nat) (f : Nat β Nat) : some n = some m β f n = f m := by
intro h
injection h with h
rw [h]
|
42c9262a1ff6abe47d0ff3da20b464df28b48445 | 8cb37a089cdb4af3af9d8bf1002b417e407a8e9e | /tests/lean/json.lean | 5d6c9a719e2a35a953d78eb4919bf4a30015c564 | [
"Apache-2.0"
] | permissive | kbuzzard/lean | ae3c3db4bb462d750dbf7419b28bafb3ec983ef7 | ed1788fd674bb8991acffc8fca585ec746711928 | refs/heads/master | 1,620,983,366,617 | 1,618,937,600,000 | 1,618,937,600,000 | 359,886,396 | 1 | 0 | Apache-2.0 | 1,618,936,987,000 | 1,618,936,987,000 | null | UTF-8 | Lean | false | false | 1,619 | lean | #eval to_string $ json.parse $ "[0.7]"
#eval to_string $ json.parse "{}"
#eval to_string $ json.unparse (json.object [])
run_cmd tactic.success_if_fail $ json.parse "spurgles"
meta def ball : list bool β bool :=
Ξ» xs, xs.foldl band tt
meta instance : decidable_eq native.float := by apply_instance
meta def json.compa... |
4a6afcf60bb92b5a04a8018a1ffe9a03e195ded4 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/category_theory/single_obj.lean | b99a296cac514f91ac94bb22126d9bd16c2bade7 | [
"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 | 5,558 | 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 category_theory.endomorphism
import category_theory.category.Cat
import algebra.category.Mon.basic
/-!
# Single-object category
Single object category with... |
5b1c5bdd9665d5398df537927b99a19cbd3e7ccd | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/algebra/group/type_tags_auto.lean | 218a35313116c916ba1e46f4da833d6383feacfc | [] | 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 | 13,074 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.group.hom
import Mathlib.data.equiv.basic
import Mathlib.PostPort
universes u_1 u ... |
9a1889cfe3ca4a59fddaf87d741001a605bb9b6d | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/rat/floor_auto.lean | 8a19e2fd6e8eae249ba7afd2bdeb7db7ad5a1194 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,183 | lean | /-
Copyright (c) 2019 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro, Kevin Kappelmann
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.floor
import Mathlib.tactic.field_simp
import Mat... |
0c88c4654a95ed71bfd6e1df98427a06ef61ff28 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/extends_priority.lean | e42f382b35c8b2fb2bd838eb3475c2f301fbc739 | [
"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 | 485 | lean | class A (Ξ± : Type)
class B (Ξ± : Type) extends A Ξ±
#print B.to_A
section prio
set_option extends_priority 37
class C (Ξ± : Type) extends B Ξ±
end prio
#print C.to_B
class D (Ξ± : Type) extends C Ξ±
#print D.to_C
set_option old_structure_cmd true
class A' (Ξ± : Type)
class B' (Ξ± : Type) extends A' Ξ±
#print B'.to_A'
s... |
90a5d9f627a16561b789b7ca045b469969a94004 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Meta/Match/Basic.lean | f56b38bcfc309d71e6168793a11a6036e1fc9b3c | [
"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 | 12,334 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Check
import Lean.Meta.Match.MatcherInfo
import Lean.Meta.Match.CaseArraySizes
namespace Lean.Meta.Match
inductive Pattern : Type where
... |
f538c1469feb742b1c66ae5cd476e9ab6813d46a | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/linear_algebra/matrix/determinant.lean | 5babd8c29f4d890d26b584e33b00c4f66f1a6cc0 | [
"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 | 28,530 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Chris Hughes, Tim Baanen
-/
import data.matrix.pequiv
import data.fintype.card
import group_theory.perm.fin
import group_theory.perm.sign
import algebra.algebra.basic
import tact... |
8445fa94490a34fd8283787adaf4d5ecc64b0497 | 07c6143268cfb72beccd1cc35735d424ebcb187b | /src/category_theory/limits/shapes/constructions/pullbacks.lean | 41c4a4959e07e1d14aea96d3575d07a1e6e5cae0 | [
"Apache-2.0"
] | permissive | khoek/mathlib | bc49a842910af13a3c372748310e86467d1dc766 | aa55f8b50354b3e11ba64792dcb06cccb2d8ee28 | refs/heads/master | 1,588,232,063,837 | 1,587,304,803,000 | 1,587,304,803,000 | 176,688,517 | 0 | 0 | Apache-2.0 | 1,553,070,585,000 | 1,553,070,585,000 | null | UTF-8 | Lean | false | false | 3,932 | lean | /-
Copyright (c) 2020 Markus Himmel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Markus Himmel
-/
import category_theory.limits.shapes.binary_products
import category_theory.limits.shapes.equalizers
import category_theory.limits.shapes.pullbacks
universes v u
/-!... |
49c1f57b89a716b6cf75e3254faa1c521d38fa84 | 2bafba05c98c1107866b39609d15e849a4ca2bb8 | /src/week_6/Part_B_sequences_again.lean | f6fcaafe0173bb757790e1dfb37cc88ba8c32757 | [
"Apache-2.0"
] | permissive | ImperialCollegeLondon/formalising-mathematics | b54c83c94b5c315024ff09997fcd6b303892a749 | 7cf1d51c27e2038d2804561d63c74711924044a1 | refs/heads/master | 1,651,267,046,302 | 1,638,888,459,000 | 1,638,888,459,000 | 331,592,375 | 284 | 24 | Apache-2.0 | 1,669,593,705,000 | 1,611,224,849,000 | Lean | UTF-8 | Lean | false | false | 14,049 | lean | import data.real.basic
import order.filter.at_top_bot
import topology.instances.real
/-
## Sequences, revisited
Recall that in week 3 we made these definitions:
-/
local notation `|` x `|` := abs x
/-- `l` is the limit of the sequence `a` of reals -/
definition is_limit (a : β β β) (l : β) : Prop :=
β Ξ΅ > 0, β N, ... |
ea6eb1506fe86168d9ef677e94f692f14a76bcfb | 1e3a43e8ba59c6fe1c66775b6e833e721eaf1675 | /src/measure_theory/measure_space.lean | 5be5db1bd9651cac6feaaaa07746a9d002f6263b | [
"Apache-2.0"
] | permissive | Sterrs/mathlib | ea6910847b8dfd18500486de9ab0ee35704a3f52 | d9327e433804004aa1dc65091bbe0de1e5a08c5e | refs/heads/master | 1,650,769,884,257 | 1,587,808,694,000 | 1,587,808,694,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 36,229 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl, Mario Carneiro
-/
import measure_theory.outer_measure
/-!
# Measure spaces
Measures are restricted to a measurable space (associated by the type class `measurable_spa... |
6f41e4e4f477b45a6779c1d7b1d4806b7b97e43b | ea5678cc400c34ff95b661fa26d15024e27ea8cd | /test1.lean | cc04c05740684f75438c00fb4196905d63000beb | [] | 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 | 19 | lean | #eval 9999999999^99 |
501a3a1a36f1ca34af47a93c8e8a4be1fe89cb0b | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /src/Init/Control/Option.lean | f78636d0309640fb5f6ae4b78e6c0768c7ef23d7 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 1,982 | 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, Sebastian Ullrich
-/
prelude
import Init.Data.Option.Basic
import Init.Control.Basic
import Init.Control.Except
universes u v
instance {Ξ±} : ToBool (Option ... |
3b84c2de10848733b7938dc15807ab3c5c0b61c3 | 367134ba5a65885e863bdc4507601606690974c1 | /src/algebra/big_operators/basic.lean | 2320cb2666f1383d7a54351bf39c0250cf3ea178 | [
"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 | 53,648 | lean | /-
Copyright (c) 2017 Johannes HΓΆlzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes HΓΆlzl
-/
import data.finset.fold
import data.equiv.mul_add
import tactic.abel
/-!
# Big operators
In this file we define products and sums indexed by finite sets (specifica... |
b1327d65c151cb33326a9e944a81dda4586afb4d | df7bb3acd9623e489e95e85d0bc55590ab0bc393 | /lean/love08_operational_semantics_exercise_sheet.lean | 2838056145b2a4082e74b00041976f21f9def9ad | [] | 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 | 5,546 | lean | import .love08_operational_semantics_demo
/- # LoVe Exercise 8: Operational Semantics -/
set_option pp.beta true
set_option pp.generalized_field_notation false
namespace LoVe
/- ## Question 1: Program Equivalence
For this question, we introduce the notion of program equivalence: `Sβ β Sβ`. -/
def big_step_equi... |
fc1fe33b7748bc8bc32406d493af9e6cc9ed6d3b | 367134ba5a65885e863bdc4507601606690974c1 | /src/measure_theory/l1_space.lean | 8a264b2af7998bbea9a6fd72b9fefd6c9f170d5c | [
"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 | 32,762 | lean | /-
Copyright (c) 2019 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import measure_theory.lp_space
/-!
# Integrable functions and `LΒΉ` space
In the first part of this file, the predicate `integrable` is defined and basic properties o... |
56180af41079139b23a2991cb74332ee4522c91b | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /stage0/src/Lean/Data/Lsp/Capabilities.lean | a92f7fe652612a68ca458b72cae5a5d2c9c88fa2 | [
"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 | 1,906 | lean | /-
Copyright (c) 2020 Marc Huisinga. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Marc Huisinga, Wojciech Nawrocki
-/
import Lean.Data.JsonRpc
import Lean.Data.Lsp.TextSync
import Lean.Data.Lsp.LanguageFeatures
/-! Minimal LSP servers/clients do not have to impleme... |
e4ae73944d8d16717a98e50d9550c456833c7a66 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/data/equiv/nat.lean | 191a9e3e4207a14b45cdb8b5ab2bf8db17d97df2 | [
"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 | 1,321 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Additional facts about equiv and encodable using the
pairing function on nat.
-/
import data.equiv.basic data.nat.pairing data.pnat.basic
open nat
namespace equiv
@[s... |
09720a5d1cff4921120db7d1d47589f64041dbab | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/split2.lean | 178fcb61aad4ad7cfa5f3159e39e04d09b1f6e2d | [
"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 | 980 | lean | def f (x y z : Nat) : Nat :=
match x, y, z with
| 5, _, _ => y
| _, 5, _ => y
| _, _, 5 => y
| _, _, _ => 1
example (x y z : Nat) : x β 5 β y β 5 β z β 5 β f x y z = 1 := by
intros
simp (config := { iota := false }) [f]
split
Β· contradiction
Β· contradiction
Β· contradiction
Β· rfl
example (x y z... |
75a1862d076b141fb2986af3f28ef289af7dff90 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /src/Lean/Meta/Offset.lean | c6e8f0981e85203572f4229abe1e15958ffafc71 | [
"Apache-2.0"
] | permissive | dupuisf/lean4 | d082d13b01243e1de29ae680eefb476961221eef | 6a39c65bd28eb0e28c3870188f348c8914502718 | refs/heads/master | 1,676,948,755,391 | 1,610,665,114,000 | 1,610,665,114,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,861 | 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.Data.LBool
import Lean.Meta.InferType
namespace Lean.Meta
private abbrev withInstantiatedMVars (e : Expr) (k : Expr β OptionT MetaM Ξ±) : Optio... |
e38f97f3f869561d0fd21cc08a85201c3f3944d8 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/data/complex/module.lean | 837a5a117ac3c35c767074812a4d8dfce7a874b1 | [
"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 | 11,388 | lean | /-
Copyright (c) 2020 Alexander Bentkamp, SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, SΓ©bastien GouΓ«zel, Eric Wieser
-/
import data.complex.basic
import algebra.algebra.ordered
import data.matrix.notation
import field_theory.to... |
3177f4e7d5fdad3f9191531a38c1bff13045c0c5 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/linear_algebra/affine_space/affine_subspace.lean | 06a6eb7d288346b3fd1c5c289fc06be0dc9179ae | [
"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 | 66,986 | lean | /-
Copyright (c) 2020 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.affine_space.affine_equiv
/-!
# Affine spaces
This file defines affine subspaces (over modules) and the affine span of a set of points.
## Main d... |
ed2c57d804bbeb970ff8791ccc8bb4ced0786b98 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/data/polynomial/lifts.lean | 6487f49a26b134631d843050ad36809a97328e6a | [
"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 | 10,927 | lean | /-
Copyright (c) 2020 Riccardo Brasca. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Riccardo Brasca
-/
import data.polynomial.algebra_map
import data.polynomial.monic
/-!
# Polynomials that lift
Given semirings `R` and `S` with a morphism `f : R β+* S`, we define a... |
db901b08b03d0b24bc5c62fff76524febef69ee2 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/rewrite_loop.lean | 945632383c12f15ec8104521b7cd0442e1da3123 | [
"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 | 141 | lean | import data.nat
open algebra
theorem test {A : Type} [s : comm_ring A] (a b c : A) : a + b + c = a + c + b :=
begin
rewrite *add.comm
end
|
e8e88e4cdf0a33398434e4772155faa1fe66638c | f618aea02cb4104ad34ecf3b9713065cc0d06103 | /src/algebra/char_p.lean | 1ff696a8ad6c2c91dfa26e95f94ea08b5c65fbc3 | [
"Apache-2.0"
] | permissive | joehendrix/mathlib | 84b6603f6be88a7e4d62f5b1b0cbb523bb82b9a5 | c15eab34ad754f9ecd738525cb8b5a870e834ddc | refs/heads/master | 1,589,606,591,630 | 1,555,946,393,000 | 1,555,946,393,000 | 182,813,854 | 0 | 0 | null | 1,555,946,309,000 | 1,555,946,308,000 | null | UTF-8 | Lean | false | false | 8,777 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kenny Lau, Joey van Langen, Casper Putz
Characteristic of semirings.
-/
import data.padics.padic_norm data.nat.choose data.fintype data.set
import data.zmod.basic algebra.module
local att... |
856b4c230041c9d705e29e4be39c1ae29e9aa3b6 | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Elab/Quotation.lean | 9d247413c11b284a7605256747ab2c528471e436 | [
"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 | 33,866 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich
Elaboration of syntax quotations as terms and patterns (in `match_syntax`). See also `./Hygiene.lean` for the basic
hygiene workings and data types. -/
import... |
6ea31e7ca7e869463f464bde7fb0f0e233c03b66 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/field_theory/tower.lean | d3c38ccef9dff2a35ec8bb5c9c173483699ecfc4 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 6,659 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.nat.prime
import ring_theory.algebra_tower
import linear_algebra.finite_dimensional
import linear_algebra.free_module.finite.matrix
/-!
# Tower of field extension... |
704a46d52802c4a2c4fbcdd2c9297e604f53dd24 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/algebra/ordered_group.hlean | 3507d6a6678c689f55ce5784edf2247794885bcc | [
"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 | 34,524 | hlean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Partially ordered additive groups, modeled on Isabelle's library. These classes can be refined
if necessary.
-/
import algebra.binary algebra.group algebra.order
open eq ... |
8a234822c41ac20b707d17db6aed05c50ede2abf | 56e5b79a7ab4f2c52e6eb94f76d8100a25273cf3 | /src/trythis.lean | 02be44271e0e9e09186350488703ab2175e57761 | [
"Apache-2.0"
] | permissive | DyeKuu/lean-tpe-public | 3a9968f286ca182723ef7e7d97e155d8cb6b1e70 | 750ade767ab28037e80b7a80360d213a875038f8 | refs/heads/master | 1,682,842,633,115 | 1,621,330,793,000 | 1,621,330,793,000 | 368,475,816 | 0 | 0 | Apache-2.0 | 1,621,330,745,000 | 1,621,330,744,000 | null | UTF-8 | Lean | false | false | 5,045 | lean | import evaluation
import backends.bfs.openai
/-- A tactic that will ring up GPT to ask for help solving a goal.
Remember to set the `OPEN_AI_KEY` environment variable.
Eg:
```sh
# ~/.zshenv
export OPEN_AI_KEY="<PUT YOUR SECRET KEY IN HERE>"
```
you may need to relogin to update.
`n` is the number of iterations for th... |
d9b064d4345e443f9880c206ed410ae3d8e34442 | 64874bd1010548c7f5a6e3e8902efa63baaff785 | /hott/init/trunc.hlean | d8ed45571dd783cb2a50048dfb1e02154ba22f64 | [
"Apache-2.0"
] | permissive | tjiaqi/lean | 4634d729795c164664d10d093f3545287c76628f | d0ce4cf62f4246b0600c07e074d86e51f2195e30 | refs/heads/master | 1,622,323,796,480 | 1,422,643,069,000 | 1,422,643,069,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,438 | hlean | -- Copyright (c) 2014 Microsoft Corporation. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Jeremy Avigad, Floris van Doorn
-- Ported from Coq HoTT
prelude
import .path .logic .datatypes .equiv .types.empty .types.sigma
open eq nat sigma unit
set_option pp.univer... |
2ab965a7bde6d4d149f0faec95a6d47e6d4c986e | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/order/conditionally_complete_lattice.lean | 8ab0e6455e3c365a426261c1fc555be1427533c7 | [
"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 | 44,410 | lean | /-
Copyright (c) 2018 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
-/
import order.bounds
import data.set.intervals.basic
import data.set.finite
import data.set.lattice
/-!
# Theory of conditionally complete lattices.
A conditio... |
6e01af6dcfdb6bbf3074f946146b17a8ae4b2a69 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /src/multirelation/approach1/basic.lean | c92bcde3762eea90aaa16a6e857e5cabf509ada2 | [] | 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 | 4,300 | lean | import coprod.free_group tactic initial order.lexicographic
namespace group_rel
open native free_group
@[derive decidable_rel] def lex_length : Ξ (wβ wβ : free_group β), Prop :=
Ξ» wβ wβ, prod.lex
(<)
(list.lex (Ξ» iβ iβ : Ξ£ i : β, Cβ, prod.lex (<) (<) (iβ.1, iβ.2) (iβ.1, iβ.2)))
(wβ.length, wβ.to_list)
(wβ.le... |
9f58435de814243e776aebdb84063e48b9684185 | 9a0b1b3a653ea926b03d1495fef64da1d14b3174 | /tidy/rewrite_search/discovery/suggest.lean | 3338af3cd5c94e991bc6fe9262b78a18b00a4985 | [
"Apache-2.0"
] | permissive | khoek/mathlib-tidy | 8623b27b4e04e7d598164e7eaf248610d58f768b | 866afa6ab597c47f1b72e8fe2b82b97fff5b980f | refs/heads/master | 1,585,598,975,772 | 1,538,659,544,000 | 1,538,659,544,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,142 | lean | import tidy.lib.tactic
import .bundle
namespace tidy.rewrite_search.discovery
open tactic
private meta def suggest_fail {Ξ± : Type} : format β tactic Ξ± := atrr_fail "suggest"
-- Reads the name of a list/single annotated with `[suggest]`.
meta def read_suggestion (n : name) : tactic (list name) := do
n β mk_const ... |
2e6effb4372753d4b8138098f0d0d78cc5c9a24f | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/continuous_function/algebra.lean | d0f9763b02ed5b762551ffd9f9e9c1d421c40e9a | [
"Apache-2.0"
] | permissive | sgouezel/mathlib | 0cb4e5335a2ba189fa7af96d83a377f83270e503 | 00638177efd1b2534fc5269363ebf42a7871df9a | refs/heads/master | 1,674,527,483,042 | 1,673,665,568,000 | 1,673,665,568,000 | 119,598,202 | 0 | 0 | null | 1,517,348,647,000 | 1,517,348,646,000 | null | UTF-8 | Lean | false | false | 36,295 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, NicolΓ² Cavalleri
-/
import topology.algebra.module.basic
import topology.continuous_function.ordered
import topology.algebra.uniform_group
import topology.uniform_space... |
6be3711c93917b7b7200014030cde99612c861ee | 46125763b4dbf50619e8846a1371029346f4c3db | /src/data/fintype.lean | 132595c1be32c3e3be7815729fa1dd9b194f34fb | [
"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 | 37,465 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
Finite types.
-/
import data.finset data.array.lemmas logic.unique
import tactic.wlog
universes u v
variables {Ξ± : Type*} {Ξ² : Type*} {Ξ³ : Type*}
/-- `fintype Ξ±` means... |
cae70e83c20984dee42685dcf688c5e02c2cd8c7 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/category_theory/limits/functor_category.lean | 67ced450efad721f5cd90c51d9f90c145f0ff464 | [
"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 | 4,877 | lean | /-
Copyright (c) 2018 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.products.basic
import category_theory.limits.preserves
open category_theory category_theory.category
namespace category_theory.limits
univer... |
80417d8d536e035a895838b4535b55ed082637fa | d450724ba99f5b50b57d244eb41fef9f6789db81 | /src/instructor/lectures/lecture_29.lean | 340a5bfd3f829c982bad6c88c9a8f9611ec53cc1 | [] | no_license | jakekauff/CS2120F21 | 4f009adeb4ce4a148442b562196d66cc6c04530c | e69529ec6f5d47a554291c4241a3d8ec4fe8f5ad | refs/heads/main | 1,693,841,880,030 | 1,637,604,848,000 | 1,637,604,848,000 | 399,946,698 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,313 | lean | import .lecture_28
-- defines sum_up_to
/-
To review, last time we ended applying induction
to define two fundamental total functions, from
β to β. The first returns the sum of all of the
natural numbers from zero to any natural number,
n. The second returns the product of all of the
numbers from 1 up to any natural... |
6323c762120fb499ad2207e77e001a138c9aa754 | 80cc5bf14c8ea85ff340d1d747a127dcadeb966f | /src/data/polynomial/basic.lean | d9f36d58acc9852545e0c296c4a9c0d556301ee1 | [
"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 | 5,499 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes HΓΆlzl, Scott Morrison, Jens Wagemaker
-/
import tactic.ring_exp
import tactic.chain
import data.monoid_algebra
import data.finset.sort
/-!
# Theory of univariate ... |
d0e722730e027c78d5f102d426b9996c53d501c7 | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /stage0/src/Lean/Meta/DiscrTreeTypes.lean | a8f49bbaa1b38dfc9e299512c5ced6745614ed57 | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | tobiasgrosser/lean4 | ce0fd9cca0feba1100656679bf41f0bffdbabb71 | ebdbdc10436a4d9d6b66acf78aae7a23f5bd073f | refs/heads/master | 1,673,103,412,948 | 1,664,930,501,000 | 1,664,930,501,000 | 186,870,185 | 0 | 0 | Apache-2.0 | 1,665,129,237,000 | 1,557,939,901,000 | Lean | UTF-8 | Lean | false | false | 1,160 | 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.Expr
namespace Lean.Meta
/-! See file `DiscrTree.lean` for the actual implementation and documentation. -/
namespace DiscrTree
inductive Key... |
a1e806687a5e9939627f878ab6819d30b9957736 | 99b5e6372af1f404777312358869f95be7de84a3 | /src/hott/hit/quotient.lean | 13899aa0dafe217083ffe6e7a1cf052bc3fe56f9 | [
"Apache-2.0"
] | permissive | forked-from-1kasper/hott3 | 8fa064ab5e8c9d6752a783d74ab226ddc5b5232a | 2db24de7a361a7793b0eae4ca5c3fd4d4a0fc691 | refs/heads/master | 1,584,867,131,028 | 1,530,766,841,000 | 1,530,766,841,000 | 139,797,034 | 0 | 0 | Apache-2.0 | 1,530,766,961,000 | 1,530,766,961,000 | null | UTF-8 | Lean | false | false | 11,334 | 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, Ulrik Buchholtz
Quotients. This is a quotient without truncation for an arbitrary type-valued binary relation
(graph).
See also .set_quotient
-/
/-
The hit quot... |
2de3c0a44a1829440f7b03d138c408e2766e7ae8 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /archive/imo/imo2001_q6.lean | 4b96c07090e1c5632f5cd3552c695a376a51068d | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 1,718 | lean | /-
Copyright (c) 2021 Sara DΓaz Real. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sara DΓaz Real
-/
import algebra.associated
import tactic.linarith
import tactic.linear_combination
/-!
# IMO 2001 Q6
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this... |
250e0eb098a3e411848b589983493afdbc4c92c5 | fecda8e6b848337561d6467a1e30cf23176d6ad0 | /src/data/padics/padic_integers.lean | ab4aeeaecb0521d6ee89832b8279f32429e804ce | [
"Apache-2.0"
] | permissive | spolu/mathlib | bacf18c3d2a561d00ecdc9413187729dd1f705ed | 480c92cdfe1cf3c2d083abded87e82162e8814f4 | refs/heads/master | 1,671,684,094,325 | 1,600,736,045,000 | 1,600,736,045,000 | 297,564,749 | 1 | 0 | null | 1,600,758,368,000 | 1,600,758,367,000 | null | UTF-8 | Lean | false | false | 19,937 | lean | /-
Copyright (c) 2018 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Mario Carneiro, Johan Commelin
-/
import data.int.modeq
import data.zmod.basic
import linear_algebra.adic_completion
import data.padics.padic_numbers
import ring_theo... |
3b48f0a3940c8cc61f83052ae88b6e04f2434172 | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/def19.lean | e0f87850416f4c94ae41391ad7252bf07755eb99 | [
"Apache-2.0"
] | permissive | shyamalschandra/lean4 | 27044812be8698f0c79147615b1d5090b9f4b037 | 6e7a883b21eaf62831e8111b251dc9b18f40e604 | refs/heads/master | 1,671,417,126,371 | 1,601,859,995,000 | 1,601,860,020,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,605 | lean | new_frontend
universe u
inductive Vec (Ξ± : Type u) : Nat β Type u
| nil : Vec Ξ± 0
| cons : Ξ± β {n : Nat} β Vec Ξ± n β Vec Ξ± (n+1)
def Vec.append1 {Ξ±} : {m n : Nat} β Vec Ξ± m β Vec Ξ± n β Vec Ξ± (n + m)
| _, m, nil, ys => ys
| _, m, cons x xs, ys => cons x (append1 xs ys)
def Vec.append2 {Ξ±} : {m n : Nat} β Vec ... |
37eaa46593038b403b180f826ce852fce706d754 | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/group_theory/subgroup/basic.lean | 778eb5ef5cf6a8d113f11372c006ad16852e1aa8 | [
"Apache-2.0"
] | permissive | jumpy4/mathlib | d3829e75173012833e9f15ac16e481e17596de0f | af36f1a35f279f0e5b3c2a77647c6bf2cfd51a13 | refs/heads/master | 1,693,508,842,818 | 1,636,203,271,000 | 1,636,203,271,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 97,808 | lean | /-
Copyright (c) 2020 Kexing Ying. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kexing Ying
-/
import group_theory.submonoid.pointwise
import group_theory.submonoid.membership
import group_theory.submonoid.center
import algebra.group.conj
import order.atoms
/-!
# Su... |
f8df1b9eea6ec59c495975ed847b3e762f937277 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/tacticExtOverlap.lean | e163b8bc7241f0abf46b16f8af6b9d5e0ffd5da0 | [
"Apache-2.0"
] | permissive | collares/lean4 | 861a9269c4592bce49b71059e232ff0bfe4594cc | 52a4f535d853a2c7c7eea5fee8a4fa04c682c1ee | refs/heads/master | 1,691,419,031,324 | 1,618,678,138,000 | 1,618,678,138,000 | 358,989,750 | 0 | 0 | Apache-2.0 | 1,618,696,333,000 | 1,618,696,333,000 | null | UTF-8 | Lean | false | false | 541 | lean | open Lean
syntax (name := myintro) "intros" sepBy(ident, ",") : tactic
macro_rules [myintro]
| `(tactic| intros $x,*) => pure $ Syntax.node `Lean.Parser.Tactic.intros #[mkAtom "intros", mkNullNode x]
theorem tst1 {p q : Prop} : p β q β p :=
by {
intros h1, h2;
assumption
}
theorem tst2 {p q : Prop} : p β q β p ... |
d6da7202179a3bfe9a0bb3a5f3449707da711ba6 | 02fbe05a45fda5abde7583464416db4366eedfbf | /library/init/data/list/instances.lean | fb199761638796dade78ab48c0799e932ff13099 | [
"Apache-2.0"
] | permissive | jasonrute/lean | cc12807e11f9ac6b01b8951a8bfb9c2eb35a0154 | 4be962c167ca442a0ec5e84472d7ff9f5302788f | refs/heads/master | 1,672,036,664,637 | 1,601,642,826,000 | 1,601,642,826,000 | 260,777,966 | 0 | 0 | Apache-2.0 | 1,588,454,819,000 | 1,588,454,818,000 | null | UTF-8 | Lean | false | false | 1,822 | 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.lemmas
open list
universes u v
local attribute [simp] join list.ret
instance : monad list :=
{ pure := @list.ret, map := @l... |
313f5b9e35a7168ec40c7ac3f5844efabcf4b656 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/data/set/intervals/surj_on.lean | 2a55228f2367503f199be7ad2a21160e1f542b51 | [
"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 | 3,362 | lean | /-
Copyright (c) 2020 Heather Macbeth. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Heather Macbeth
-/
import data.set.intervals.basic
import data.set.function
/-!
# Monotone surjective functions are surjective on intervals
A monotone surjective function sends any ... |
b04952c720726266de65b87992ad306b002f6af3 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/number_theory/dioph.lean | f913dd17802531ecb0a0c871e1186f06ecbe5cd9 | [
"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 | 33,618 | 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 number_theory.pell
import data.pfun
import data.fin2
universe u
open nat function
namespace int
lemma eq_nat_abs_iff_mul (x n) : nat_abs x = n β (x - n) * ... |
d8c5119def6c42e7f2c7f02c11a6ba3765c6d51f | 94096349332b0a0e223a22a3917c8f253cd39235 | /src/game/world3/level8.lean | f8987c2c4c783d68f30d3404b11ecabec7720246 | [] | no_license | robertylewis/natural_number_game | 26156e10ef7b45248549915cc4d1ab3d8c3afc85 | b210c05cd627242f791db1ee3f365ee7829674c9 | refs/heads/master | 1,598,964,725,038 | 1,572,602,236,000 | 1,572,602,236,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,723 | lean | import game.world3.level7 -- hide
namespace mynat -- hide
/-
# Multiplication World
## Level 8: `mul_comm`
Finally, the boss level of multiplication world. But (assuming you
didn't cheat) you are well-prepared for it -- you have `zero_mul`
and `mul_zero`, as well as `succ_mul` and `mul_succ`. After this
level you ca... |
5d4d047a9b1ddfe18e6adff6086290f13ee7f526 | 3f7026ea8bef0825ca0339a275c03b911baef64d | /src/analysis/normed_space/banach.lean | e8b803d9b2f662ee6806f34d892e27568e19c2f5 | [
"Apache-2.0"
] | permissive | rspencer01/mathlib | b1e3afa5c121362ef0881012cc116513ab09f18c | c7d36292c6b9234dc40143c16288932ae38fdc12 | refs/heads/master | 1,595,010,346,708 | 1,567,511,503,000 | 1,567,511,503,000 | 206,071,681 | 0 | 0 | Apache-2.0 | 1,567,513,643,000 | 1,567,513,643,000 | null | UTF-8 | Lean | false | false | 10,494 | lean | /-
Copyright (c) 2019 SΓ©bastien GouΓ«zel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: SΓ©bastien GouΓ«zel
Banach spaces, i.e., complete vector spaces.
This file contains the Banach open mapping theorem, i.e., the fact that a bijective
bounded linear map between Banac... |
4d7eeeb2ec3ea97bffc415fa35f5aece360d38c4 | dd0f5513e11c52db157d2fcc8456d9401a6cd9da | /09_Type_Classes.org.12.lean | 18ef85b2140737de7fda133ee229734a9254abe5 | [] | 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 | 161 | lean | import standard
namespace hide
-- BEGIN
inductive decidable [class] (p : Prop) : Type :=
| inl : p β decidable p
| inr : Β¬p β decidable p
-- END
end hide
|
c4e5af775fc16a4c6ac3f48c31855119f7a0fc77 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/computability/turing_machine.lean | e8a283b317b00305f8d9e1166d55b55830a444cd | [
"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 | 110,110 | 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 data.fintype.option
import data.fintype.prod
import data.fintype.pi
import data.vector.basic
import data.pfun
import logic.function.iterate
import order.basic
... |
9386a72df5d3ba9fb04dae6e6ef841332cf8baca | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/tactic/monotonicity/basic.lean | 870497709577f2364619c1e1d35ca4d13b61184a | [
"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 | 5,452 | lean | /-
Copyright (c) 2019 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
-/
import order.bounded_lattice
namespace tactic.interactive
open tactic list
open lean lean.parser interactive
open interactive.types
@[derive inhabited]
structure mono_cfg... |
c884098311ce7c8c8bfacc3cbfb7f90937f3f8f6 | 7da5ceac20aaab989eeb795a4be9639982e7b35a | /src/category_theory/basic.lean | f9bdb8fb6b430c823c1756d4ea6dfd992dfa974c | [
"MIT"
] | permissive | formalabstracts/formalabstracts | 46c2f1b3a172e62ca6ffeb46fbbdf1705718af49 | b0173da1af45421239d44492eeecd54bf65ee0f6 | refs/heads/master | 1,606,896,370,374 | 1,572,988,776,000 | 1,572,988,776,000 | 96,763,004 | 165 | 28 | null | 1,555,709,319,000 | 1,499,680,948,000 | Lean | UTF-8 | Lean | false | false | 322 | lean | import category_theory.category tactic.omitted
@[obviously] meta def obviously_omitted : tactic unit := tactic.interactive.omitted
open category_theory
universes v u
variables {C : Type u} [h : category.{v} C] {X Y Z : C}
include h
def factors_through (f : X βΆ Z) (g : Y βΆ Z) : Prop :=
β(h : X βΆ Y), f = h β« g |
db90469afcf67d6c643ac0822de4cf4a92775a04 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/linear_algebra/finite_dimensional.lean | aa8c27228f419892b4a5d75f1c3eb69e96e02192 | [
"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 | 75,106 | 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.basic
import field_theory.finiteness
/-!
# Finite dimensional vector spaces
Definition and basic properties of finite dimensional vect... |
fec32a2b15bf2ff794f13c91c26a274323cabfeb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/order/category/Preord.lean | 1ca4aea91d877ad25f1f29697061e11d328323b7 | [
"Apache-2.0"
] | permissive | leanprover-community/mathlib | 56a2cadd17ac88caf4ece0a775932fa26327ba0e | 442a83d738cb208d3600056c489be16900ba701d | refs/heads/master | 1,693,584,102,358 | 1,693,471,902,000 | 1,693,471,902,000 | 97,922,418 | 1,595 | 352 | Apache-2.0 | 1,694,693,445,000 | 1,500,624,130,000 | Lean | UTF-8 | Lean | false | false | 2,615 | lean | /-
Copyright (c) 2020 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import category_theory.category.Cat
import category_theory.category.preorder
import category_theory.concrete_category.bundled_hom
import order.hom.basic
/-!
# Catego... |
0abba121d8d53fe0563472e4ba33e0bb1a2bd943 | 649957717d58c43b5d8d200da34bf374293fe739 | /src/category_theory/functor.lean | 3b43da66c905932609c07edae29522f1dc87b4ca | [
"Apache-2.0"
] | permissive | Vtec234/mathlib | b50c7b21edea438df7497e5ed6a45f61527f0370 | fb1848bbbfce46152f58e219dc0712f3289d2b20 | refs/heads/master | 1,592,463,095,113 | 1,562,737,749,000 | 1,562,737,749,000 | 196,202,858 | 0 | 0 | Apache-2.0 | 1,562,762,338,000 | 1,562,762,337,000 | null | UTF-8 | Lean | false | false | 3,128 | 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
Defines a functor between categories.
(As it is a 'bundled' object rather than the `is_functorial` typeclass parametrised
by the underlyin... |
0794cba582819c24b914f17af8fb980fbb623224 | 367134ba5a65885e863bdc4507601606690974c1 | /src/topology/instances/real_vector_space.lean | fa9aabb048c51ae95efc984cb5deaf0c26e65139 | [
"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 | 1,498 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov
-/
import topology.algebra.module
import topology.instances.real
/-!
# Continuous additive maps are `β`-linear
In this file we prove that a continuous map `f : E β+ F... |
71c19ba218846bec4a04eb99f8b8e2f4b5392aea | 82b86ba2ae0d5aed0f01f49c46db5afec0eb2bd7 | /src/Init/LeanInit.lean | 18df55ec787f5cf4aa87cfaf3f13e39e6fe0a212 | [
"Apache-2.0"
] | permissive | banksonian/lean4 | 3a2e6b0f1eb63aa56ff95b8d07b2f851072d54dc | 78da6b3aa2840693eea354a41e89fc5b212a5011 | refs/heads/master | 1,673,703,624,165 | 1,605,123,551,000 | 1,605,123,551,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 23,070 | 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 and Sebastian Ullrich
-/
prelude
import Init.Data.Option.BasicAux
import Init.Data.String.Basic
import Init.Data.Array.Basic
import Init.Data.UInt
import Init.... |
7f47ff6b0cb38d31ecace661bdb8acea1275222e | 49ffcd4736fa3bdcc1cdbb546d4c855d67c0f28a | /tests/lean/run/local_shadowing_projection.lean | 595a0095b70a5db7e47c898804689edf2243b0a9 | [
"Apache-2.0"
] | permissive | black13/lean | 979e24d09e17b2fdf8ec74aac160583000086bc8 | 1a80ea9c8e28902cadbfb612896bcd45ba4ce697 | refs/heads/master | 1,626,839,620,164 | 1,509,113,016,000 | 1,509,122,889,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 74 | lean | namespace prod
def foo (a : nat Γ nat) (cmp : nat) :=
a.cmp
end prod
|
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