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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ec8ac09cf2dd929f43c5f8a08717bd7ad3c566e1 | 367134ba5a65885e863bdc4507601606690974c1 | /src/combinatorics/simple_graph/degree_sum.lean | e915d98c4ab92765543d861c9d49e647ed15bfed | [
"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 | 8,342 | lean | /-
Copyright (c) 2020 Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Kyle Miller
-/
import combinatorics.simple_graph.basic
import algebra.big_operators.basic
import data.nat.parity
import data.zmod.parity
/-!
# Degree-sum formula and handshaking lemma
Th... |
0b8a96c8faf00e5ddcf40578b68b11fe03b11844 | 82e44445c70db0f03e30d7be725775f122d72f3e | /src/data/complex/exponential.lean | 0f20ee63741b6daf4f1746d6e662e5c338fb07e5 | [
"Apache-2.0"
] | permissive | stjordanis/mathlib | 51e286d19140e3788ef2c470bc7b953e4991f0c9 | 2568d41bca08f5d6bf39d915434c8447e21f42ee | refs/heads/master | 1,631,748,053,501 | 1,627,938,886,000 | 1,627,938,886,000 | 228,728,358 | 0 | 0 | Apache-2.0 | 1,576,630,588,000 | 1,576,630,587,000 | null | UTF-8 | Lean | false | false | 61,909 | 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
-/
import algebra.geom_sum
import data.complex.basic
import data.nat.choose.sum
/-!
# Exponential, trigonometric and hyperbolic trigonometric func... |
634cf2992b04c508362698955551886a04b3f989 | a721fe7446524f18ba361625fc01033d9c8b7a78 | /src/principia/mynat/fib.lean | 22fbf2a166838edf303d03dd4f1920bf4f16bdde | [] | no_license | Sterrs/leaning | 8fd80d1f0a6117a220bb2e57ece639b9a63deadc | 3901cc953694b33adda86cb88ca30ba99594db31 | refs/heads/master | 1,627,023,822,744 | 1,616,515,221,000 | 1,616,515,221,000 | 245,512,190 | 2 | 0 | null | 1,616,429,050,000 | 1,583,527,118,000 | Lean | UTF-8 | Lean | false | false | 5,682 | lean | -- vim: ts=2 sw=0 sts=-1 et ai tw=70
import .basic
import .dvd
import .induction
namespace hidden
open mynat
def fib: mynat → mynat
| 0 := 0
| 1 := 1
| (succ (succ n)) := fib n + fib (succ n)
variables {m n k p: mynat}
@[simp] theorem fib_zero: fib 0 = 0 := rfl
@[simp] theorem fib_one:... |
0658044b4ec23ec1a1cb4a4cd927f9e7adf00044 | 6065973b1fa7bbacba932011c9e2f32bf7bdd6c1 | /src/computability/DFA.lean | 664c35fb40caedb0dbb889143bad68c46b97eb7d | [
"Apache-2.0"
] | permissive | khmacdonald/mathlib | 90a0fa2222369fa69ed2fbfb841b74d2bdfd66cb | 3669cb35c578441812ad30fd967d21a94b6f387e | refs/heads/master | 1,675,863,801,090 | 1,609,761,876,000 | 1,609,761,876,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,500 | lean | /-
Copyright (c) 2020 Fox Thomson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Fox Thomson
-/
import data.fintype.basic
import computability.language
/-!
# Deterministic Finite Automata
This file contains the definition of a Deterministic Finite Automaton (DFA), a... |
4cfe49e3f86b1ac9d77568cc28b1af2a618902d4 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/run/def2.lean | 0ec294d7b8e0c25a8cadddb8cfb6de2d06357fb6 | [
"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 | 93 | lean |
definition plus (a b : nat) : nat :=
nat.rec_on a b (λ a' ih, nat.succ ih)
#eval plus 3 5
|
22b8651ed2405843d42aab94894125d025433fb4 | d436468d80b739ba7e06843c4d0d2070e43448e5 | /src/tactic/scc.lean | 93b0d400557679611c2a9821d8f5b3b9385818bb | [
"Apache-2.0"
] | permissive | roro47/mathlib | 761fdc002aef92f77818f3fef06bf6ec6fc1a28e | 80aa7d52537571a2ca62a3fdf71c9533a09422cf | refs/heads/master | 1,599,656,410,625 | 1,573,649,488,000 | 1,573,649,488,000 | 221,452,951 | 0 | 0 | Apache-2.0 | 1,573,647,693,000 | 1,573,647,692,000 | null | UTF-8 | Lean | false | false | 12,833 | lean | /-
Copyright (c) 2018 Simon Hudon All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon
Tactics based on the strongly connected components (SCC) of a graph where
the vertices are propositions and the edges are implications found
in the context.
They are used for... |
05f91dae99f3ae7910a3c4980c9d08b0a95fc8f9 | f3849be5d845a1cb97680f0bbbe03b85518312f0 | /library/init/meta/environment.lean | be88ffedbb22ceb5a40b3ff676d9ec14367709a6 | [
"Apache-2.0"
] | permissive | bjoeris/lean | 0ed95125d762b17bfcb54dad1f9721f953f92eeb | 4e496b78d5e73545fa4f9a807155113d8e6b0561 | refs/heads/master | 1,611,251,218,281 | 1,495,337,658,000 | 1,495,337,658,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,975 | lean | /-
Copyright (c) 2016 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import init.meta.declaration init.meta.exceptional init.data.option.basic
import init.meta.rb_map
meta constant environment : Type
namespace envir... |
69ce38a16446419738513462b72893c2a4bf1306 | 9dd3f3912f7321eb58ee9aa8f21778ad6221f87c | /tests/lean/io_bug1.lean | 27c90dc7ffca549989f5a1cf7eab61d6f80ed3f9 | [
"Apache-2.0"
] | permissive | bre7k30/lean | de893411bcfa7b3c5572e61b9e1c52951b310aa4 | 5a924699d076dab1bd5af23a8f910b433e598d7a | refs/heads/master | 1,610,900,145,817 | 1,488,006,845,000 | 1,488,006,845,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 412 | lean | import system.io
def bar : io unit :=
do put_str "one", put_str "two", put_str "three"
vm_eval bar
print "---------"
def foo : ℕ → io unit
| 0 := put_str "at zero\n"
| (n+1) := do put_str "in\n", foo n, put_str "out\n"
vm_eval foo 3
print "---------"
def foo2 : ℕ → io unit
| 0 := put_str "at zero\n"
| (n... |
61d5d32cd017a37039e0f4f6f5fdd0cdd33673b0 | 48eee836fdb5c613d9a20741c17db44c8e12e61c | /src/universal/basic.lean | 70a245cecbe899ba6951ed6ae57eb4861d099834 | [
"Apache-2.0"
] | permissive | fgdorais/lean-universal | 06430443a4abe51e303e602684c2977d1f5c0834 | 9259b0f7fb3aa83a9e0a7a3eaa44c262e42cc9b1 | refs/heads/master | 1,592,479,744,136 | 1,589,473,399,000 | 1,589,473,399,000 | 196,287,552 | 1 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 2,824 | lean | -- Copyright © 2019 François G. Dorais. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
import util
namespace universal
@[derive decidable_eq]
structure arity (τ : Type) := (cod : τ) (dom : list τ)
namespace arity
variables {τ : Type} (a b : arity τ)
protected theorem eq... |
1a1274113c2b42c6e4e371057610140ce8b6cad0 | bb31430994044506fa42fd667e2d556327e18dfe | /src/combinatorics/quiver/basic.lean | 1dc41a020da102afbd6f3ef030ec89d93e549939 | [
"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 | 4,390 | lean | /-
Copyright (c) 2021 David Wärn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: David Wärn, Scott Morrison
-/
import data.opposite
/-!
# Quivers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require a corresponding PR to mathlib4.
This modul... |
ba18220bda9e62035a135a2f8213d05b7e05f733 | d65db56b17d72b62013ed1f438f74457ad25b140 | /src/algebra.lean | 8584c2030eb3574cf59fa34ad5a6116545f2ed0d | [] | no_license | swgillespie/proofs | cfa65722fdb4bb7d7910a0856d0cbea8e8b9a3f9 | 168ef7ef33d372ae0ed6ee4ca336137a52b89f8f | refs/heads/master | 1,585,700,692,028 | 1,540,162,775,000 | 1,540,162,775,000 | 152,695,805 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,175 | lean | universe u
variables (α β : Type u)
-- Equality is useful in proofs. If two things are equal, they can be substituted
-- for one another in proofs using eq.subst. Such as this proof:
example (a b : α) (p : α → Prop) (h₁ : a = b) (h₂ : p a) : p b :=
eq.subst h₁ h₂
-- ▸ is shorthand for eq.subst:
example (a b : α) (... |
abe6bb6e2f57cd53b80026c0803ae11eae555b14 | aa3f8992ef7806974bc1ffd468baa0c79f4d6643 | /tests/lean/run/elab_failure.lean | 957dc8fcfde97e887da7c1a01ad296cb04f2a8dd | [
"Apache-2.0"
] | permissive | codyroux/lean | 7f8dff750722c5382bdd0a9a9275dc4bb2c58dd3 | 0cca265db19f7296531e339192e9b9bae4a31f8b | refs/heads/master | 1,610,909,964,159 | 1,407,084,399,000 | 1,416,857,075,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 424 | lean | import data.nat.basic data.bool
open bool nat
reducible nat.rec_on
definition is_eq (a b : nat) : bool :=
nat.rec_on a
(λ b, nat.cases_on b tt (λb₁, ff))
(λ a₁ r₁ b, nat.cases_on b ff (λb₁, r₁ b₁))
b
example (a₁ : nat) (b : nat) : true :=
@nat.cases_on (λ (n : nat), true) b
true.intro
(λ (b₁ : _),
have ... |
0a5d3be71e3303b35549fdf2b78aa248316db59a | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/field_theory/subfield.lean | d704fc08fbd467e59b1a94e22a31a83200685350 | [
"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 | 27,719 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import algebra.algebra.basic
import algebra.order.field.inj_surj
/-!
# Subfields
Let `K` be a field. This file defines the "bundled" subfield type `subfield K`, a type
w... |
ef903113445c58d5c4c851c0101f7cf460f8f4b4 | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/order/order_iso.lean | a4d3e4442edb2eff44f87c723bbd6b1ee09e9ae1 | [
"Apache-2.0"
] | permissive | EdAyers/mathlib | 9ecfb2f14bd6caad748b64c9c131befbff0fb4e0 | ca5d4c1f16f9c451cf7170b10105d0051db79e1b | refs/heads/master | 1,626,189,395,845 | 1,555,284,396,000 | 1,555,284,396,000 | 144,004,030 | 0 | 0 | Apache-2.0 | 1,533,727,664,000 | 1,533,727,663,000 | null | UTF-8 | Lean | false | false | 12,996 | 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 order.basic logic.embedding data.nat.basic
open function
universes u v w
variables {α : Type*} {β : Type*} {γ : Type*}
{r : α → α → Prop} {s : β → β → Prop... |
a1880eec4420529ed650bd1871b4c090f99ac92f | 4fa161becb8ce7378a709f5992a594764699e268 | /src/category_theory/monoidal/category.lean | 83454e7fe408f05d2db9b8f0cb11d6fd749b42c4 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 17,802 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison
-/
import category_theory.products.basic
open category_theory
universes v u
open category_theory
open category_theory.category
open category_the... |
6ee997259a127ea8c0552a8005f70678e2b43ee5 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/topology/instances/matrix.lean | e6ecbaf2d458a0981171d92c398280597e9780ad | [
"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 | 18,206 | lean | /-
Copyright (c) 2021 Oliver Nash. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Oliver Nash, Eric Wieser
-/
import linear_algebra.determinant
import topology.algebra.infinite_sum
import topology.algebra.ring
import topology.algebra.star
/-!
# Topological properties ... |
bee49ba523a9b2b4e06a904cbc33844725bac6ba | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/closed/monoidal.lean | d60c3a7b61830d6691c379d49ce7ef26f78ae67a | [] | 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 | 1,633 | 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.category_theory.monoidal.category
import Mathlib.category_theory.adjunction.basic
import Ma... |
36849ecea6924299070f0aa60403f4993d47ef4e | 43390109ab88557e6090f3245c47479c123ee500 | /src/inner_product_spaces/sesquilinear_forms.lean | 5cc18ecc052f699ebc3f6b722d789bf7a60b3166 | [
"Apache-2.0"
] | permissive | Ja1941/xena-UROP-2018 | 41f0956519f94d56b8bf6834a8d39473f4923200 | b111fb87f343cf79eca3b886f99ee15c1dd9884b | refs/heads/master | 1,662,355,955,139 | 1,590,577,325,000 | 1,590,577,325,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,018 | lean | import linear_algebra.basic inner_product_spaces.ring_involution
open module ring ring_invo
class sesquilinear_form_space (R : Type*) (V : Type*) [ring R] (Hi : ring_invo R) extends module R V :=
(sesq_form : V → V → R)
(fst_add_lin : ∀ (x y z : V), sesq_form (x + y) z = sesq_form x z + sesq_form y z)
(fst_mul_lin :... |
3a5f22e9236d5be468c4dc43ca06b37ba8bb11eb | d7189ea2ef694124821b033e533f18905b5e87ef | /galois/category/monad/state/class.lean | e28879e530bc1529dcfbf469b12efd58dc1d731d | [
"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 | 851 | lean | /- This file defines a class monad_state for monads that have a state variable.
-/
universe variables u v w
namespace monad
-- A unit type with a polymorphic universe parameter.
inductive punit : Type u
| punit : punit
-- A typeclass for monad states.
--
-- The definition allows one to get a state value, and apply ... |
49a66bdb509528f5716cacc541f5d7c8a81d2e48 | a7602958ab456501ff85db8cf5553f7bcab201d7 | /Assignment5/9.5-homework.lean | 01338493d9af2a23aed5559894ede187da83072c | [] | 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 | 2,945 | lean | -- Assignment 5
-- Dom Farolino, farolidm@mail.uc.edu
-- Math Logic
-- Exercise 5
section
variable U: Type
variables A B: U → Prop
example : (∃ x, A x) → ∃ x, A x ∨ B x := -- Added parens for clarity.
assume h1: (∃ x, A x),
-- Need to do exists elimination, to get A y alone.
show ∃ x, (A x ∨ B x), f... |
61b7a7bd5741e578a5903d16a98c2ee450e94dfb | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/tactic/norm_cast.lean | 3f6bd45f219f464c465eccdc8bfd43c5b1ce0a6d | [
"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 | 14,548 | lean | /-
Copyright (c) 2019 Paul-Nicolas Madelaine. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Paul-Nicolas Madelaine
Normalizing casts inside expressions.
-/
import tactic.basic tactic.interactive tactic.converter.interactive
import data.buffer.parser
namespace tacti... |
4074c6086b7ee2acb68f2a978e06c213cae0623e | b82c5bb4c3b618c23ba67764bc3e93f4999a1a39 | /src/formal_ml/classical_deriv.lean | 8079414b1b7103b898f7755832865724445aaaad | [
"Apache-2.0"
] | permissive | nouretienne/formal-ml | 83c4261016955bf9bcb55bd32b4f2621b44163e0 | 40b6da3b6e875f47412d50c7cd97936cb5091a2b | refs/heads/master | 1,671,216,448,724 | 1,600,472,285,000 | 1,600,472,285,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,241 | lean | /-
Copyright 2020 Google LLC
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
di... |
6fe498fda688e50eb0a360ee869c9a8b8d34ee8d | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/Lean/Compiler/LCNF/ForEachExpr.lean | 79da9c1247d717bfd3fb54dac39829077e284d34 | [
"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 | 295 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Util.ForEachExpr
import Lean.Compiler.LCNF.Basic
namespace Lean.Compiler.LCNF
-- TODO: delete
end Lean.Compiler.LCNF |
dc480b11d5a133ac74c79cab9f6f35ae5c6d5359 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/algebra/algebra/spectrum.lean | 2a005b72ac92f3ba6270675d0897d680b53cd7ee | [
"Apache-2.0"
] | permissive | jcommelin/mathlib | d8456447c36c176e14d96d9e76f39841f69d2d9b | ee8279351a2e434c2852345c51b728d22af5a156 | refs/heads/master | 1,664,782,136,488 | 1,663,638,983,000 | 1,663,638,983,000 | 132,563,656 | 0 | 0 | Apache-2.0 | 1,663,599,929,000 | 1,525,760,539,000 | Lean | UTF-8 | Lean | false | false | 19,383 | lean | /-
Copyright (c) 2021 Jireh Loreaux. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jireh Loreaux
-/
import tactic.noncomm_ring
import field_theory.is_alg_closed.basic
import algebra.star.pointwise
/-!
# Spectrum of an element in an algebra
This file develops the basic... |
fc6fa8a1898538204d9ebd8673b452328230972a | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/ambiguousOpenExport.lean | 905b2484e8f1e36c143b70ba0420c7d7b7a97013 | [
"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 | 119 | lean | inductive Foo.C where
| mk
inductive Bla.C where
| mk
open Foo Bla
open C (mk) -- Error
export C (mk) -- Error
|
fff1987e826838ff1949f2b8ba73f2ccba8fcd42 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/algebra/direct_sum/basic.lean | 26d4a432d26be42530c7cc6db6d2768da043f22d | [
"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 | 10,966 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import data.dfinsupp.basic
import group_theory.submonoid.operations
import group_theory.subgroup.basic
/-!
# Direct sum
This file defines the direct sum of abelian groups, ind... |
b3263475ca58ddbaa67a10fc45a733c906d18946 | b7f22e51856f4989b970961f794f1c435f9b8f78 | /hott/algebra/binary.hlean | d11673f164d27b8f58bfd320d4d3963348f30fe1 | [
"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 | 4,568 | hlean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Jeremy Avigad
General properties of binary operations.
-/
open eq.ops function
namespace binary
section
variable {A : Type}
variables (op₁ : A → A... |
f0c88e99dbab4175174fbcb950ce89eee77a979b | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /library/algebra/ordered_ring.lean | 489a4f6a35b820860859688d5df22abc53fbbfaa | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 28,563 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Here an "ordered_ring" is partially ordered ring, which is ordered with respect to both a weak
order and an associated strict order. Our numeric structures (int, rat, and... |
63c8812d956ea665295930448bdaf43b4b3578cd | 05f637fa14ac28031cb1ea92086a0f4eb23ff2b1 | /tests/lean/univ.lean | 9906ce40f111478d6150fd42e48ac8f03ca95c55 | [
"Apache-2.0"
] | permissive | codyroux/lean0.1 | 1ce92751d664aacff0529e139083304a7bbc8a71 | 0dc6fb974aa85ed6f305a2f4b10a53a44ee5f0ef | refs/heads/master | 1,610,830,535,062 | 1,402,150,480,000 | 1,402,150,480,000 | 19,588,851 | 2 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 777 | lean | universe M1 >= 1
universe U >= M1 + 1
definition TypeM1 := (Type M1)
universe Z ≥ M1+3
(*
local env = get_environment()
assert(env:get_universe_distance("Z", "M1") == 3)
assert(not env:get_universe_distance("Z", "U"))
*)
(*
local env = get_environment()
assert(env:get_universe_distance("Z", "M1") == 3)
assert(not env:... |
770db4153aa3ef1f737235c1a0eea8681ae4fd8f | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/small_complete.lean | da8df06c0cc86af8398eeb5519887db31c5d9fdd | [
"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 | 2,044 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.limits.shapes.products
import set_theory.cardinal
/-!
# Any small complete category is a preorder
We show that any small category which has all ... |
077508e2a407b0586af118db9af0504d112f3129 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/krivine.lean | 4ff5785dd0243ed7140d13c6c05ed94604cbfdcf | [
"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 | 1,640 | lean | inductive KrivineInstruction
| Access (n: Nat)
| Grab (next: KrivineInstruction)
| Push (next: KrivineInstruction) (continuation: KrivineInstruction)
inductive KrivineClosure
| pair (i: KrivineInstruction) (e: List KrivineClosure)
namespace Ex1
def KrivineEnv := List KrivineClosure
-- We need to define a `S... |
cf3b923ba8b59850a041812dc47fd1b3aff45364 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/funInfoBug.lean | a3efb6ba0959f995b6af89337883fcf4c08cb02b | [
"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 | 349 | lean | import Std.Data.AssocList
def l : List (Prod Nat Nat) := [(1, 1), (2, 2)]
#eval l -- works
def Std.AssocList.ToList : AssocList α β → List (α × β)
| AssocList.nil => []
| AssocList.cons k v t => (k, v) :: ToList t
instance [Repr α] [Repr β] : Repr (Std.AssocList α β) where
reprPrec f _ := repr f.ToList
#reduc... |
24a96f03929b585889c5325a3559944e2ae8c58a | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/nat/count.lean | 86e5626ad2acc77898fcd590cecd592a1e85ea13 | [
"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 | 4,730 | lean | /-
Copyright (c) 2021 Vladimir Goryachev. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Vladimir Goryachev, Kyle Miller, Scott Morrison, Eric Rodriguez
-/
import data.list.basic
import data.nat.prime
import set_theory.fincard
/-!
# Counting on ℕ
This f... |
ab193d9ed80845c775fba1f36b62a789ac018284 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/floatOptParam.lean | de508a773a780705e7ccadf2e93eaafc90582c06 | [
"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 | 63 | lean | def foo (a : Float := 0.0) (b : Float := 1.0) : Float := a - b
|
206a762be2e50d41d85648ee9d56c1ea54ac3313 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/algebra/ordered_ring.lean | 33349a2d6c7deeff5b42afa0d7983dcca80fa95a | [
"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 | 69,409 | 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
-/
import algebra.invertible
import algebra.ordered_group
import data.set.intervals.basic
/-!
# Ordered rings and semirings
This file ... |
3b2f97c4e34125ae2ac412d7aa2d60919c86ca1c | ce6917c5bacabee346655160b74a307b4a5ab620 | /src/ch5/ex0702.lean | 74800fb21cc525b5677ad0cd6fa54c856d0b6eb3 | [] | 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 | 390 | lean | import data.list.basic
universe u
variable {α : Type}
open list
example (xs : list ℕ) :
reverse (xs ++ [1, 2, 3]) = [3, 2, 1] ++ reverse xs :=
by simp
example (xs ys : list α) :
length (reverse (xs ++ ys)) = length xs + length ys :=
by simp [add_comm]
-- lean 3.6 removes simp attributes from add_comm
-- i.e.... |
fce0edfb467b8a38d69e6e6f29280d17cfd5932c | 12dabd587ce2621d9a4eff9f16e354d02e206c8e | /world07/level02.lean | f6e7bcdad4fab30aafaba07c67fffff6f9d07c60 | [] | no_license | abdelq/natural-number-game | a1b5b8f1d52625a7addcefc97c966d3f06a48263 | bbddadc6d2e78ece2e9acd40fa7702ecc2db75c2 | refs/heads/master | 1,668,606,478,691 | 1,594,175,058,000 | 1,594,175,058,000 | 278,673,209 | 0 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 115 | lean | lemma and_symm (P Q : Prop) : P ∧ Q → Q ∧ P :=
begin
intro h,
cases h with p q,
split,
exact q,
exact p,
end
|
cb6aebffae4ad71a09857a66662ce3afd0a74338 | 57aec6ee746bc7e3a3dd5e767e53bd95beb82f6d | /tests/lean/run/allGoals.lean | 886fadf7f9b883e16bea1ce56af5489c7cea0e40 | [
"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 | 1,675 | lean | inductive Weekday where
| sunday : Weekday
| monday : Weekday
| tuesday : Weekday
| wednesday : Weekday
| thursday : Weekday
| friday : Weekday
| saturday : Weekday
def Weekday.next : Weekday -> Weekday :=
fun d => match d with
| sunday => monday
| monday => tuesday
| tue... |
bdd81f4a18bbf24d682b7695eae842090096ac1e | c3f2fcd060adfa2ca29f924839d2d925e8f2c685 | /library/algebra/function.lean | f76509f201f2c68626268a5c910f0d3a7752c671 | [
"Apache-2.0"
] | permissive | respu/lean | 6582d19a2f2838a28ecd2b3c6f81c32d07b5341d | 8c76419c60b63d0d9f7bc04ebb0b99812d0ec654 | refs/heads/master | 1,610,882,451,231 | 1,427,747,084,000 | 1,427,747,429,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,438 | lean | /-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Module: algebra.function
Author: Leonardo de Moura
General operations on functions.
-/
namespace function
variables {A : Type} {B : Type} {C : Type} {D : Type} {E : Type}
definition ... |
dcc3b92c76f0190c50350b10bd22a542a96d148b | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/beginend.lean | 01f1d15d50533454c4a69e9c0ddb6ac2ea033e22 | [
"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 | 157 | lean | import logic.eq
open tactic
theorem foo (A : Type) (a b c : A) (Hab : a = b) (Hbc : b = c) : a = c :=
begin
apply eq.trans,
apply Hab,
apply Hbc,
end
|
c14bb2d8316f25c94a945f4ff7017a0757196647 | 3618c6e11aa822fd542440674dfb9a7b9921dba0 | /src/P.lean | 13e4e77f001fb86711d7659d94f97a4ab13e3adb | [] | 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 | 4,408 | lean | import group_theory.semidirect_product
import coprod.free_group
/-!
# The P functor
Given a group `G` an element `p` of the group `P G` can be used as a certificate
of congruences modulo `r : G` in `G`. There are two surjective maps `P G →* G`,
`lhs r` and `right`. `lhs r p` and `right p` will always be congruent modu... |
8bff6902091f8398713edc341235bdc60135ce91 | ae1e94c332e17c7dc7051ce976d5a9eebe7ab8a5 | /stage0/src/Init/Notation.lean | 504464cf4f70135f87d125c4bf3ba58e099b1c0a | [
"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 | 11,420 | 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
Notation for operators defined at Prelude.lean
-/
prelude
import Init.Prelude
-- DSL for specifying parser precedences and priorities
namespace Lean.Parser.... |
6847db02d89c0c67b6f7239551dab0d3c274c2b0 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/algebra/module/pi.lean | 6694b062b88a28405fc3e05ac4fbdde08cd27601 | [
"Apache-2.0"
] | permissive | hamdysalah1/mathlib | b915f86b2503feeae268de369f1b16932321f097 | 95454452f6b3569bf967d35aab8d852b1ddf8017 | refs/heads/master | 1,677,154,116,545 | 1,611,797,994,000 | 1,611,797,994,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,788 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
-/
import algebra.module.basic
import algebra.ring.pi
/-!
# Pi instances for module and multiplicative actions
This file defines instances for module, mul_ac... |
2a0c6bfb3c835c00b6b8ed075b0fba8f0e0d2656 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/autoLift.lean | 4d8f90fec2c0ba556d581bba8ee20d398820f6bf | [
"Apache-2.0",
"LLVM-exception",
"NCSA",
"LGPL-3.0-only",
"LicenseRef-scancode-inner-net-2.0",
"BSD-3-Clause",
"LGPL-2.0-or-later",
"Spencer-94",
"LGPL-2.1-or-later",
"HPND",
"LicenseRef-scancode-pcre",
"ISC",
"LGPL-2.1-only",
"LicenseRef-scancode-other-permissive",
"SunPro",
"CMU-Mach"... | permissive | leanprover/lean4 | 4bdf9790294964627eb9be79f5e8f6157780b4cc | f1f9dc0f2f531af3312398999d8b8303fa5f096b | refs/heads/master | 1,693,360,665,786 | 1,693,350,868,000 | 1,693,350,868,000 | 129,571,436 | 2,827 | 311 | Apache-2.0 | 1,694,716,156,000 | 1,523,760,560,000 | Lean | UTF-8 | Lean | false | false | 299 | lean | def f : IO Nat := do
IO.println "foo"
return 0
abbrev M := StateRefT Nat IO
def g (a : Nat) : M Unit :=
pure ()
#check id (α := M Unit) do let a ← f; g a
set_option autoLift false
#check_failure id (α := M Unit) do let a ← f; g a
#check id (α := M Unit) do let a ← liftM f; g a
|
82ed12f959633f0a695f8ce0262799b62a2bafbc | 6e9cd8d58e550c481a3b45806bd34a3514c6b3e0 | /src/topology/instances/ennreal.lean | a67277248f6f9459edfdbb5b8ec925b56dda86df | [
"Apache-2.0"
] | permissive | sflicht/mathlib | 220fd16e463928110e7b0a50bbed7b731979407f | 1b2048d7195314a7e34e06770948ee00f0ac3545 | refs/heads/master | 1,665,934,056,043 | 1,591,373,803,000 | 1,591,373,803,000 | 269,815,267 | 0 | 0 | Apache-2.0 | 1,591,402,068,000 | 1,591,402,067,000 | null | UTF-8 | Lean | false | false | 38,655 | 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... |
2c887a9e92bd66fda0f2e9c878196e4ff052b108 | 36938939954e91f23dec66a02728db08a7acfcf9 | /lean/src/prover_interface.lean | 6b9ae633e42c1407326f6aee8c48ae9062b5739e | [
"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 | 618 | lean | universes u v
--open smt2
-- A word 64
def word64 := { x : ℕ // x < 2^64 }
@[reducible]
def llvm_instruction_index := ℕ
@[reducible]
def mc_instruction_addr := word64
-- The main interface to the verification condition generator.
class is_vcg (m : Type u → Type v) :=
(start_llvm_instruction : llvm_instruction_inde... |
3c4d14ce5f942e173a79126efdd5d207e17aa0dd | 08bd4ba4ca87dba1f09d2c96a26f5d65da81f4b4 | /src/Lean/Meta/ExprDefEq.lean | 06429ebf4843420dcbc613bfc4ec988b34d632d0 | [
"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 | 80,543 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Meta.Offset
import Lean.Meta.UnificationHint
import Lean.Util.OccursCheck
namespace Lean.Meta
/--
Return true if `b` is of the form `mk a.1 ... |
4236483258719f1f039d2526118e8d7f804afa66 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/category_theory/limits/shapes/zero_morphisms.lean | a4c8d04ca24b4f79bdd11f7dc3a0283fd0b0e83d | [
"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 | 20,086 | 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 data.pi.algebra
import category_theory.limits.shapes.products
import category_theory.limits.shapes.images
import category_theory.isomorphism_classes
import cat... |
2f414596c78411591516b21883de8f43909a9eb8 | 2bafba05c98c1107866b39609d15e849a4ca2bb8 | /src/week_1/Part_C_functions.lean | 4979ef6968efc8e7a34bba81a383ff273e9b9285 | [
"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 | 3,138 | lean | import tactic
-- injective and surjective functions are already in Lean.
-- They are called `function.injective` and `function.surjective`.
-- It gets a bit boring typing `function.` a lot so we start
-- by opening the `function` namespace
open function
-- We now move into the `xena` namespace
namespace xena
-- le... |
8f68fd636a46a4324e3938d156de43b93aceccec | 1446f520c1db37e157b631385707cc28a17a595e | /tests/bench/binarytrees.lean | 10349c67edb9b3d019b1ff223e755831c75c5586 | [
"Apache-2.0"
] | permissive | bdbabiak/lean4 | cab06b8a2606d99a168dd279efdd404edb4e825a | 3f4d0d78b2ce3ef541cb643bbe21496bd6b057ac | refs/heads/master | 1,615,045,275,530 | 1,583,793,696,000 | 1,583,793,696,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,695 | lean | inductive Tree
| Nil
| Node (l r : Tree) : Tree
open Tree
instance : Inhabited Tree := ⟨Nil⟩
-- This Function has an extra argument to suppress the
-- common sub-expression elimination optimization
partial def make' : UInt32 -> UInt32 -> Tree
| n, d =>
if d = 0 then Node Nil Nil
else Node (make' n (d - 1)) (make' ... |
e6691ac3662e23437b131201a1dcfa85b630d11d | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/equiv/transfer_instance.lean | 920d81800b280c10ae62a7eaf377eae206abe3b0 | [
"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 | 13,341 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import data.equiv.basic
import algebra.field
import algebra.module
import algebra.algebra.basic
import algebra.group.type_tags
import ring_theory.ideal.local_ring
/-... |
094112438cd7a94a70b9b1027eeb48a87df5b11d | 31f556cdeb9239ffc2fad8f905e33987ff4feab9 | /src/Lean/Compiler/LCNF/Main.lean | c72feda8b9ecdd96bac1fd2276ff69d3cb77b023 | [
"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 | 4,018 | lean | /-
Copyright (c) 2022 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Lean.Compiler.Options
import Lean.Compiler.LCNF.PassManager
import Lean.Compiler.LCNF.Passes
import Lean.Compiler.LCNF.PrettyPrinter
import Lean.Comp... |
72286437bb178effcb53ad380d37a2fc5b93fb8d | b2e508d02500f1512e1618150413e6be69d9db10 | /src/algebra/pi_instances.lean | eb917e9b5726c2dfc2b8a7fdeff2fba409f49f26 | [
"Apache-2.0"
] | permissive | callum-sutton/mathlib | c3788f90216e9cd43eeffcb9f8c9f959b3b01771 | afd623825a3ac6bfbcc675a9b023edad3f069e89 | refs/heads/master | 1,591,371,888,053 | 1,560,990,690,000 | 1,560,990,690,000 | 192,476,045 | 0 | 0 | Apache-2.0 | 1,568,941,843,000 | 1,560,837,965,000 | Lean | UTF-8 | Lean | false | false | 18,411 | lean | /-
Copyright (c) 2018 Simon Hudon. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot
Pi instances for algebraic structures.
-/
import order.basic
import algebra.module algebra.group
import data.finset
import ring_theory.subring
import tactic.p... |
748b532e12e72b74af006d79c835eb670e1bc438 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/Lean3Lib/data/rbtree/find.lean | 6cbc1eaf443e588d2cd518d110f967093f12e37e | [] | 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 | 2,444 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.Lean3Lib.data.rbtree.basic
universes u
namespace Mathlib
namespace rbnode
... |
1e868e72218c23e52a149cb00e47f9a79098545c | 3aad12fe82645d2d3173fbedc2e5c2ba945a4d75 | /src/order/nursery.lean | 5a9ffa16c1ad957f68697f9050b1e69c2ae803f2 | [] | no_license | seanpm2001/LeanProver-Community_MathLIB-Nursery | 4f88d539cb18d73a94af983092896b851e6640b5 | 0479b31fa5b4d39f41e89b8584c9f5bf5271e8ec | refs/heads/master | 1,688,730,786,645 | 1,572,070,026,000 | 1,572,070,026,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 277 | lean |
import order.bounded_lattice
theorem abs_le_abs {α : Type*} [decidable_linear_ordered_comm_group α] {a b : α}
(h₀ : a ≤ b) (h₁ : -a ≤ b) :
abs a ≤ abs b :=
calc abs a
≤ b : by { apply abs_le_of_le_of_neg_le; assumption }
... ≤ abs b : le_abs_self _
|
7d9ec549e3210a4ac975ce4d3d3201b8e557d2f3 | 94e33a31faa76775069b071adea97e86e218a8ee | /src/measure_theory/measure/regular.lean | cd7069955c47a7d93020f11e7a2956c217e66a97 | [
"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 | 33,792 | lean | /-
Copyright (c) 2021 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris Van Doorn, Yury Kudryashov
-/
import measure_theory.constructions.borel_space
/-!
# Regular measures
A measure is `outer_regular` if the measure of any measurable set `A` ... |
79f97590a042cf0f7715812dcd76a47b430636a6 | d1a52c3f208fa42c41df8278c3d280f075eb020c | /stage0/src/Lean/Compiler/ExportAttr.lean | 59d7cec27594ce92064fdf92238738638995f638 | [
"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 | 1,358 | 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.Attributes
namespace Lean
private def isValidCppId (id : String) : Bool :=
let first := id.get 0;
first.isAlpha && (id.toSubstring.drop 1... |
3fc8bf49f133b80eb78260a64e372b12a78f89b5 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/data/polynomial/field_division.lean | c88dde66b739d7ce85bb45631959826f381c427a | [
"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 | 21,214 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Johannes Hölzl, Scott Morrison, Jens Wagemaker
-/
import algebra.gcd_monoid.basic
import data.polynomial.derivative
import data.polynomial.ring_division
import data.set.pai... |
83d71e7659ee636fc34ec060a13b4555a30d236e | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/eq9.lean | 6443bacfc0aa31c5062bee45e89dddaf8d3f99bd | [
"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 | 330 | lean | open nat
theorem lt_trans : ∀ {a b c : nat}, a < b → b < c → a < c
| lt_trans h (lt.base _) := lt.step h
| lt_trans h₁ (lt.step h₂) := lt.step (lt_trans h₁ h₂)
theorem lt_succ : ∀ {a b : nat}, a < b → succ a < succ b
| lt_succ (lt.base a) := lt.base (succ a)
| lt_succ (lt.step h) := lt.step (lt_succ h)
|
e01a8b2850e2d6be5263f8318ce73a53be2b3b6e | b2fe74b11b57d362c13326bc5651244f111fa6f4 | /src/data/nat/cast.lean | bf34f2fbba03434d77552cbe5e9d76dccfe06126 | [
"Apache-2.0"
] | permissive | midfield/mathlib | c4db5fa898b5ac8f2f80ae0d00c95eb6f745f4c7 | 775edc615ecec631d65b6180dbcc7bc26c3abc26 | refs/heads/master | 1,675,330,551,921 | 1,608,304,514,000 | 1,608,304,514,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,801 | lean | /-
Copyright (c) 2014 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro
Natural homomorphism from the natural numbers into a monoid with one.
-/
import algebra.ordered_field
import data.nat.basic
namespace nat
variables {α : Type*}
sectio... |
658eba364275f9843a5ea1a77c988d3049b1b624 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/adjunction/mates.lean | 640132902d5b0c2bd03610f147c66ed1483b9bb9 | [] | 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 | 11,844 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Bhavik Mehta
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.adjunction.basic
import Mathlib.category_theory.conj
import Mathlib.category_the... |
9536592ae7ba3cb678831c595cdc9f35c2f103e7 | cf39355caa609c0f33405126beee2739aa3cb77e | /tests/lean/infix_paren_improved.lean | 9ec6945901b329eb204f0fcb3e411d665f5c55a6 | [
"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 | 79 | lean | constant f : Π {α : Type}, α → α → α
infix `**`:60 := f
#check (**)
|
78d0bb0fafdba4119118a567dd5117fb5b2baeba | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_topology/dold_kan/degeneracies.lean | ab0584b0614944e4f4658446526bdd8fd2697bdd | [
"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 | 6,216 | lean | /-
Copyright (c) 2022 Joël Riou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joël Riou
-/
import algebraic_topology.dold_kan.decomposition
import tactic.fin_cases
/-!
# Behaviour of P_infty with respect to degeneracies
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
... |
4835e2c93d0cf9e37f70bf3b57717645308a5c69 | c45b34bfd44d8607a2e8762c926e3cfaa7436201 | /uexp/src/uexp/rules/transitiveInferenceConstantEquiPredicate.lean | ca7504dd921c802766e6c329a6b39e3f79d5bc63 | [
"BSD-2-Clause"
] | permissive | Shamrock-Frost/Cosette | b477c442c07e45082348a145f19ebb35a7f29392 | 24cbc4adebf627f13f5eac878f04ffa20d1209af | refs/heads/master | 1,619,721,304,969 | 1,526,082,841,000 | 1,526,082,841,000 | 121,695,605 | 1 | 0 | null | 1,518,737,210,000 | 1,518,737,210,000 | null | UTF-8 | Lean | false | false | 1,884 | lean | import ..sql
import ..tactics
import ..u_semiring
import ..extra_constants
import ..ucongr
import ..TDP
set_option profiler true
open Expr
open Proj
open Pred
open SQL
open tree
notation `int` := datatypes.int
variable integer_1: const datatypes.int
theorem rule:
forall ( Γ scm_t scm_account scm_bonus scm_dept sc... |
5b2592d2c5b923c8a583ef0713a16f14bfb9d887 | 4efff1f47634ff19e2f786deadd394270a59ecd2 | /src/order/complete_lattice.lean | 21b492c94817a51faf76d5c3abd4b6a55ea786c1 | [
"Apache-2.0"
] | permissive | agjftucker/mathlib | d634cd0d5256b6325e3c55bb7fb2403548371707 | 87fe50de17b00af533f72a102d0adefe4a2285e8 | refs/heads/master | 1,625,378,131,941 | 1,599,166,526,000 | 1,599,166,526,000 | 160,748,509 | 0 | 0 | Apache-2.0 | 1,544,141,789,000 | 1,544,141,789,000 | null | UTF-8 | Lean | false | false | 37,305 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import order.bounds
/-!
# Theory of complete lattices
## Main definitions
* `Sup` and `Inf` are the supremum and the infimum of a set;
* `supr (f : ι → α)` and `in... |
0e80877a60fa1d5c91e59d4b0dfdc7bdb3deed8a | bb31430994044506fa42fd667e2d556327e18dfe | /src/topology/algebra/order/extend_from.lean | 922ff11885cc53b5329826737821988279744727 | [
"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 | 3,137 | 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, Yury Kudryashov
-/
import topology.order.basic
import topology.extend_from
/-!
# Lemmas about `extend_from` in an order topology.
-/
open filter set t... |
bc6e239fa28d0125c6483580912880709faad4ec | 618003631150032a5676f229d13a079ac875ff77 | /src/data/fintype/card.lean | fcbae2f7a25b5ffafabbaab589a26583a593fdbd | [
"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 | 13,452 | lean | /-
Copyright (c) 2017 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro
-/
import data.fintype.basic
import data.nat.choose
import tactic.ring
/-!
Results about "big operations" over a `fintype`, and consequent
results about cardinalities of... |
69d20458dd901e290454da8aa4ea41503b7d7dc0 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/kaehler.lean | 2ec88c0e1d9fa329cad25de7d772fce8db0239d6 | [
"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 | 28,172 | lean | /-
Copyright © 2020 Nicolò Cavalleri. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Nicolò Cavalleri, Andrew Yang
-/
import ring_theory.derivation.to_square_zero
import ring_theory.ideal.cotangent
import ring_theory.is_tensor_product
/-!
# The module of kaehler diff... |
33063a0547a5f1cd9a846df13b20ce545a1b1ef9 | e42ba0bcfa11e5be053e2ce1ce1f49f027680525 | /src/separation/tactic.lean | 440f4872ca69a10a1f703b8ad656e996b1279942 | [] | no_license | unitb/separation-logic | 8e17c5b466f86caa143265f4c04c78eec9d3c3b8 | bdde6fc8f16fd43932aea9827d6c63cadd91c2e8 | refs/heads/master | 1,540,936,751,653 | 1,535,050,181,000 | 1,535,056,425,000 | 109,461,809 | 6 | 1 | null | null | null | null | UTF-8 | Lean | false | false | 14,124 | lean |
import data.dlist
import separation.specification
import tactic.monotonicity
import util.meta.tactic
universes u v
namespace tactic.interactive
open applicative
open lean.parser
open interactive
open interactive.types
open tactic functor list nat separation
local postfix `?`:9001 := optional
local postfix *:9001 ... |
90381d2b5421278cf11ee1fc2d3ee74ab90ddd7e | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/p_series.lean | 3418373f0dab9f2693d99f1f060e6de313095e0b | [
"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 | 13,508 | lean | /-
Copyright (c) 2020 Yury G. Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury G. Kudryashov
-/
import analysis.special_functions.pow
/-!
# Convergence of `p`-series
In this file we prove that the series `∑' k in ℕ, 1 / k ^ p` converges if and only if ... |
91e4f6c21f4493f060d539136107dd1e113c63db | 97f752b44fd85ec3f635078a2dd125ddae7a82b6 | /hott/algebra/category/functor/yoneda.hlean | dda9e0a569fc3679c1d21e4a243081f15974a789 | [
"Apache-2.0"
] | permissive | tectronics/lean | ab977ba6be0fcd46047ddbb3c8e16e7c26710701 | f38af35e0616f89c6e9d7e3eb1d48e47ee666efe | refs/heads/master | 1,532,358,526,384 | 1,456,276,623,000 | 1,456,276,623,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,935 | hlean | /-
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
Yoneda embedding and Yoneda lemma
-/
import .examples .attributes
open category eq functor prod.ops is_trunc iso is_equiv equiv category.set nat_trans lift
names... |
b085cf9db8a2aaef9239159c783bfbaec12ce76f | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/group/opposite.lean | ee00fdab71b3d408a1bf55ca50993df8c7ec5119 | [
"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 | 21,234 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau
-/
import algebra.group.inj_surj
import algebra.group.commute
import algebra.hom.equiv.basic
import algebra.opposites
import data.int.cast.defs
/-!
# Group structures on the mult... |
e661c1c1d79644759cf6e2597e8df4f93838fde3 | 02005f45e00c7ecf2c8ca5db60251bd1e9c860b5 | /src/data/complex/basic.lean | 2a8fdc8bc400537b92cc242d3927f2682e01e515 | [
"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 | 26,670 | lean | /-
Copyright (c) 2017 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard, Mario Carneiro
-/
import data.real.sqrt
/-!
# The complex numbers
The complex numbers are modelled as ℝ^2 in the obvious way and it is shown that they form a field
of c... |
95bad17f82185c2c2619233b2c133c2cfaee2678 | 83c8119e3298c0bfc53fc195c41a6afb63d01513 | /library/init/category/lift.lean | 68edc49b993220030c083a478ae91b5b8be61298 | [
"Apache-2.0"
] | permissive | anfelor/lean | 584b91c4e87a6d95f7630c2a93fb082a87319ed0 | 31cfc2b6bf7d674f3d0f73848b842c9c9869c9f1 | refs/heads/master | 1,610,067,141,310 | 1,585,992,232,000 | 1,585,992,232,000 | 251,683,543 | 0 | 0 | Apache-2.0 | 1,585,676,570,000 | 1,585,676,569,000 | null | UTF-8 | Lean | false | false | 4,497 | lean | /-
Copyright (c) 2016 Gabriel Ebner. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Gabriel Ebner, Sebastian Ullrich
Classy functions for lifting monadic actions of different shapes.
This theory is roughly modeled after the Haskell 'layers' package https://hackage.ha... |
527ce4ab6439d9e5217ca90e876c62cc412f07c5 | 0851884047bb567d19e188e8f1ad959c5ae9c5ce | /src/Topology/Material/homeomorphism_extension_of_equiv.lean | 6d994a830771b93a0fc14c2be748005c416759b5 | [
"Apache-2.0"
] | permissive | yz5216/xena-UROP-2018 | 00d3f71a831324966d40d302544ed2cbbec3fd0f | 5e9da9dc64dc51897677f8b73ab9f94061a8d977 | refs/heads/master | 1,584,922,436,989 | 1,531,487,250,000 | 1,531,487,250,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 9,266 | lean | import analysis.topology.continuity
import analysis.topology.topological_space
import analysis.topology.infinite_sum
import analysis.topology.topological_structures
import analysis.topology.uniform_space
import data.equiv
-- import data.equiv.basic
local attribute [instance] classical.prop_decidable
universes u v w
... |
8ec682cc4d1acaa0f73cd0ec901e9cacd0b3eb77 | 367134ba5a65885e863bdc4507601606690974c1 | /src/analysis/normed_space/multilinear.lean | aca97c5736893caeb14eb77465b0e3e806c8f4a5 | [
"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 | 70,621 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.normed_space.operator_norm
import topology.algebra.multilinear
/-!
# Operator norm on the space of continuous multilinear maps
When `f` is a c... |
efe9eb602daec93b8e1702b948feeee7f0812564 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/category_theory/limits/presheaf.lean | 53e4ac4544e22bfb5f18f3fe9b9157123e48b22f | [
"Apache-2.0"
] | permissive | jjgarzella/mathlib | 96a345378c4e0bf26cf604aed84f90329e4896a2 | 395d8716c3ad03747059d482090e2bb97db612c8 | refs/heads/master | 1,686,480,124,379 | 1,625,163,323,000 | 1,625,163,323,000 | 281,190,421 | 2 | 0 | Apache-2.0 | 1,595,268,170,000 | 1,595,268,169,000 | null | UTF-8 | Lean | false | false | 12,599 | lean | /-
Copyright (c) 2020 Bhavik Mehta. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Bhavik Mehta
-/
import category_theory.adjunction
import category_theory.elements
import category_theory.limits.functor_category
import category_theory.limits.preserves.limits
import cat... |
0b3f8f1eb36cf059b1348ad1d69012aa08f4bb6d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/number_theory/fermat_psp.lean | cde8495f8b725da55aff29522aaf952f266a5f40 | [
"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 | 19,752 | lean | /-
Copyright (c) 2022 Niels Voss. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Niels Voss
-/
import data.nat.prime
import field_theory.finite.basic
import order.filter.cofinite
/-!
# Fermat Pseudoprimes
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to th... |
983bc1e66816b756cfdd77b50c11c3031efd3b33 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/data/mv_polynomial.lean | 622d2dc0fe93ad6262ec28ed147feba90abbb626 | [
"Apache-2.0"
] | permissive | laughinggas/mathlib | e4aa4565ae34e46e834434284cb26bd9d67bc373 | 86dcd5cda7a5017c8b3c8876c89a510a19d49aad | refs/heads/master | 1,669,496,232,688 | 1,592,831,995,000 | 1,592,831,995,000 | 274,155,979 | 0 | 0 | Apache-2.0 | 1,592,835,190,000 | 1,592,835,189,000 | null | UTF-8 | Lean | false | false | 59,771 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Johan Commelin, Mario Carneiro, Shing Tak Lam
-/
import data.polynomial
import data.equiv.ring
import data.equiv.fin
import tactic.omega
/-!
# Multivariate polynomials... |
e09c64a130ea78a23886d13761fd66d224dd8559 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/group_theory/submonoid/membership.lean | b90924f5ee5b864e41ad46548f94701f944c5fe1 | [
"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 | 22,100 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro, Kevin Buzzard,
Amelia Livingston, Yury Kudryashov
-/
import group_theory.submonoid.operations
import algebra.big_operators.ba... |
a001195ee5aa9d68fd3cfe9505828a27d6e215a8 | 63abd62053d479eae5abf4951554e1064a4c45b4 | /src/data/finsupp/pointwise.lean | 2133040e0b18482c9a5914c06415803d6f07f7d7 | [
"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 | 1,967 | 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 data.finsupp.basic
/-!
# The pointwise product on `finsupp`.
TODO per issue #1864:
We intend to remove the convolution product on finsupp, and define
it only... |
be6c5a714606fe592939684ee6b1d0151fd7a08d | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/order/with_zero.lean | 8d5df167e102d6a25d626699547aa2e13a28676b | [
"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 | 10,201 | lean | /-
Copyright (c) 2020 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin, Patrick Massot
-/
import algebra.hom.equiv.units.group_with_zero
import algebra.group_with_zero.inj_surj
import algebra.order.group.units
import algebra.order.mon... |
a8c5dcc12a715e4c60f15aec09e9badb1379a5e2 | 217bb195841a8be2d1b4edd2084d6b69ccd62f50 | /library/init/data/default.lean | 066cf1e31e473cada39bb75a6471f57cbfa46113 | [
"Apache-2.0"
] | permissive | frank-lesser/lean4 | 717f56c9bacd5bf3a67542d2f5cea721d4743a30 | 79e2abe33f73162f773ea731265e456dbfe822f9 | refs/heads/master | 1,589,741,267,933 | 1,556,424,200,000 | 1,556,424,281,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 463 | 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.nat init.data.char init.data.string
import init.data.list init.data.int init.data.array
import init.data.fin init.d... |
3551ad1c1b3cdea953431874e5166c6e3ee6ccc9 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/topology/continuous_function/algebra.lean | f60f007b216292b6ce1608e9952e16fa7816fa19 | [
"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 | 38,311 | lean | /-
Copyright (c) 2019 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Nicolò Cavalleri
-/
import algebra.algebra.pi
import algebra.periodic
import algebra.algebra.subalgebra.basic
import algebra.star.star_alg_hom
import tactic.field_simp
... |
ff24c5fe3c859724bf38aedc19f1b5eeee3ee722 | 4950bf76e5ae40ba9f8491647d0b6f228ddce173 | /src/linear_algebra/alternating.lean | ad7e4d0d482f3b9ea2c8cdbb23cea24f479ac8b0 | [
"Apache-2.0"
] | permissive | ntzwq/mathlib | ca50b21079b0a7c6781c34b62199a396dd00cee2 | 36eec1a98f22df82eaccd354a758ef8576af2a7f | refs/heads/master | 1,675,193,391,478 | 1,607,822,996,000 | 1,607,822,996,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 11,179 | lean | /-
Copyright (c) 2020 Zhangir Azerbayev. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Eric Wieser, Zhangir Azerbayev
-/
import linear_algebra.multilinear
import group_theory.perm.sign
/-!
# Alternating Maps
We construct the bundled function `alternating_map`, which... |
636a3892c4d6ae5a0db4d1482b976eb1d47ad630 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/abst.lean | 2ff0776ed98667620fe5c54d1c8fa68fac4d5aec | [
"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 | 534 | lean | import Lean.Expr
open Lean
def tst : IO Unit :=
do
let f := mkConst `f;
let x := mkFVar { name := `x };
let y := mkFVar { name := `y };
let t := mkApp (mkApp (mkApp f x) y) (mkApp f x);
IO.println t;
let p := t.abstract [x, y].toArray;
IO.println p;
IO.println $ p.instantiateRev #[x, y];
let a := mkConst `a;
let b :=... |
678cd69d52cfcb7b7d76e4d0510237339e54b5b2 | ff5230333a701471f46c57e8c115a073ebaaa448 | /tests/lean/task.lean | 8f1b91f3d86fa7f2ec944aa6c28e5d325c0fa110 | [
"Apache-2.0"
] | permissive | stanford-cs242/lean | f81721d2b5d00bc175f2e58c57b710d465e6c858 | 7bd861261f4a37326dcf8d7a17f1f1f330e4548c | refs/heads/master | 1,600,957,431,849 | 1,576,465,093,000 | 1,576,465,093,000 | 225,779,423 | 0 | 3 | Apache-2.0 | 1,575,433,936,000 | 1,575,433,935,000 | null | UTF-8 | Lean | false | false | 253 | lean | run_cmd tactic.run_async (tactic.trace
"trace message from a different task")
def {u} foo {α : Type u} {n : ℕ} : array (0+n) α → array n α :=
if n = 0 then
λ v, cast (by async { simp }) v
else
λ v, cast (by async { simp }) v
#print foo
|
14af865cc43d96c778ed799cb4f3a7c67b837d35 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/analysis/special_functions/exp_log.lean | dbf9777133820453e6dd48d9a78ee23cdc659d42 | [
"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 | 38,019 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne
-/
import analysis.calculus.inverse
import analysis.complex.real_deriv
import data.complex.exponential
/-!
# Complex and rea... |
88d073fdbd2e47a450649768b6ea04f1c5d3ca72 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/group_theory/complement.lean | 4864f3a939d2fd40db709c226958d0a436741bda | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 20,170 | lean | /-
Copyright (c) 2021 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
import group_theory.order_of_element
/-!
# Complements
In this file we define the complement of a subgroup.
## Main definitions
- `is_complement S T` where `S`... |
4d93472ef5bb1e1e6e0ae91e1116558db31b3621 | 969dbdfed67fda40a6f5a2b4f8c4a3c7dc01e0fb | /src/category_theory/monoidal/category.lean | 2c6b1989c8850955bf594db0e2e57225c9749b53 | [
"Apache-2.0"
] | permissive | SAAluthwela/mathlib | 62044349d72dd63983a8500214736aa7779634d3 | 83a4b8b990907291421de54a78988c024dc8a552 | refs/heads/master | 1,679,433,873,417 | 1,615,998,031,000 | 1,615,998,031,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 21,013 | lean | /-
Copyright (c) 2018 Michael Jendrusch. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Michael Jendrusch, Scott Morrison
-/
import category_theory.products.basic
/-!
# Monoidal categories
A monoidal category is a category equipped with a tensor product, unitors, and... |
1a106dc4ee9ddb56ea0499847b4a0576ae017e29 | 99b36386640f67a61e85dddccbc0f82edec9bf9c | /src/tactic_example.lean | 303958bf484db9496c23b2a143b2ced4a64cb5cf | [] | no_license | aymonwuolanne/lean-theorem-proving | 1ba46fb89f446b78b7f8f8cb084aad68fadce9a3 | 701a7873f9f66f2c24962b02450ec90b20935702 | refs/heads/master | 1,586,068,982,414 | 1,575,091,205,000 | 1,575,091,205,000 | 156,647,753 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 874 | lean | open tactic
-- meta def extract_equals (e : expr) : option (expr × expr) :=
-- match e with
-- | expr.app f x := sorry
-- end
meta def extract_equals : expr → tactic (option (expr × expr))
| (expr.app (expr.app f x) y) :=
do e ← mk_const `eq,
trace e,
trace f,
if f = e then
return (some (x, y... |
339d8c04b832d70371f28b554c3c7f95341963c8 | 5e3548e65f2c037cb94cd5524c90c623fbd6d46a | /src_icannos_totilas/aops/2003-USAMO-Problem_5.lean | f00edbe63263fb55a4f5c41cf12edd6b6f955832 | [] | no_license | ahayat16/lean_exos | d4f08c30adb601a06511a71b5ffb4d22d12ef77f | 682f2552d5b04a8c8eb9e4ab15f875a91b03845c | refs/heads/main | 1,693,101,073,585 | 1,636,479,336,000 | 1,636,479,336,000 | 415,000,441 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 197 | lean | import data.real.basic
theorem exo:
(forall (a b c: real), ((2*a + b + c)^2)/(2*a^2 + (b + c)^2) + ((2*b + c + a)^2)/(2*b^2 + (c + a)^2) + ((2*c + a + b)^2)/(2*c^2 + (a + b)^2) <= 8)
:=
sorry
|
2c1eafc9f50336d279909af8ac382f33a2d0e911 | 367134ba5a65885e863bdc4507601606690974c1 | /src/meta/expr_lens.lean | 068e1e29cfe333a944f99cf66b19aceda48aee14 | [
"Apache-2.0"
] | permissive | kodyvajjha/mathlib | 9bead00e90f68269a313f45f5561766cfd8d5cad | b98af5dd79e13a38d84438b850a2e8858ec21284 | refs/heads/master | 1,624,350,366,310 | 1,615,563,062,000 | 1,615,563,062,000 | 162,666,963 | 0 | 0 | Apache-2.0 | 1,545,367,651,000 | 1,545,367,651,000 | null | UTF-8 | Lean | false | false | 5,726 | lean | /-
Copyright (c) 2020 Keeley Hoek. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Keeley Hoek, Scott Morrison
-/
import meta.expr
/-!
# A lens for zooming into nested `expr` applications
A "lens" for looking into the subterms of an expression, tracking... |
864ba69e3cd2b7cda00e859f1118582896412603 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/analysis/analytic/basic.lean | 25183cfcc83e4236ea2c18f98305a42d6164b1eb | [
"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 | 37,621 | lean | /-
Copyright (c) 2020 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel
-/
import analysis.calculus.times_cont_diff tactic.omega analysis.complex.exponential
analysis.specific_limits
/-!
# Analytic functions
A function is analytic i... |
ede2af7c8113e134193010c93c2e2fc66561be38 | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/notation2.lean | 231fffce159029f8834c57ca764457afa554ddd8 | [
"Apache-2.0"
] | permissive | jcarlson23/lean | b00098763291397e0ac76b37a2dd96bc013bd247 | 8de88701247f54d325edd46c0eed57aeacb64baf | refs/heads/master | 1,611,571,813,719 | 1,497,020,963,000 | 1,497,021,515,000 | 93,882,536 | 1 | 0 | null | 1,497,029,896,000 | 1,497,029,896,000 | null | UTF-8 | Lean | false | false | 267 | lean | --
inductive List (T : Type) : Type | nil {} : List | cons : T → List → List open List notation h :: t := cons h t notation `[` l:(foldr `,` (h t, cons h t) nil) `]` := l
infixr `::` := cons
#check (1:nat) :: 2 :: nil
#check (1:nat) :: 2 :: 3 :: 4 :: 5 :: nil
|
c38cbef790a7dc701f945f0d88048ad8fea245de | 958488bc7f3c2044206e0358e56d7690b6ae696c | /lean/while/Stmt.lean | 927bc67fa66aaa68769d1e4b3af2aaac5422fc7f | [] | no_license | possientis/Prog | a08eec1c1b121c2fd6c70a8ae89e2fbef952adb4 | d4b3debc37610a88e0dac3ac5914903604fd1d1f | refs/heads/master | 1,692,263,717,723 | 1,691,757,179,000 | 1,691,757,179,000 | 40,361,602 | 3 | 0 | null | 1,679,896,438,000 | 1,438,953,859,000 | Coq | UTF-8 | Lean | false | false | 990 | lean | import Env
import AExp
import BExp
-- The WHILE language: deep embedding for actual language: full syntax and semantics specified
inductive Stmt : Type
| skip : Stmt
| assign : string → AExp → Stmt
| seq : Stmt → Stmt → Stmt
| ite : BExp → Stmt → Stmt → Stmt
| while : BExp → Stmt → Stmt
open Stmt
infix... |
e2f540ca034eb3cb937be554738a90d2d526017c | d642a6b1261b2cbe691e53561ac777b924751b63 | /src/group_theory/submonoid.lean | 84bc2e08b8413bef47a753a59299c1ba27c234c9 | [
"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 | 11,999 | lean | /-
Copyright (c) 2018 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Kenny Lau, Johan Commelin, Mario Carneiro
-/
import algebra.big_operators
import data.finset
import tactic.subtype_instance
variables {α : Type*} [monoid α] {s : set α... |
f1a93a9694fea61da801d5cef09501c67e221119 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/topology/instances/real.lean | 08e93c9936f88306204932dfa236038a62019aee | [
"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 | 16,962 | 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.metric_space.basic
import topology.algebra.uniform_group
import topology.algebra.ring
import ring_theory.subring
import group_theory.a... |
e6aaf58c7e68868b91b1dd9f229fe63f1ffb12f3 | bbecf0f1968d1fba4124103e4f6b55251d08e9c4 | /src/data/polynomial/denoms_clearable.lean | f3398f6d7cbe059efcd419ccd63a78795412c5d9 | [
"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 | 4,685 | lean | /-
Copyright (c) 2020 Damiano Testa. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Damiano Testa
-/
import data.polynomial.erase_lead
import data.polynomial.eval
/-!
# Denominators of evaluation of polynomials at ratios
Let `i : R → K` be a homomorphism of semirings... |
0266857e917da252fddf594edf5817771b7bdb58 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/327.lean | c3cb16d1366b3aaa0b638a1a22ee026d9b2bd2ef | [
"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 | 403 | lean | open Lean
def foo : Name := `foo
def isFoo : Name → Bool
| ``foo => true
| _ => false
theorem ex1 : isFoo `foo = true := rfl
theorem ex2 : isFoo `bla = false := rfl
def Bla.boo : Name := `boo
open Bla
def isBoo : Name → Bool
| ``boo => true
| _ => false
theorem ex3 : isBoo `Bla.boo = true := rfl... |
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