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class | length_bytes int64 3 6.4M | extension stringclasses 4
values | content stringlengths 3 6.12M |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
544180ac7a740dd20a80a8e1f4bd685aaa17a5b0 | a3c8de9b16e7a374b04f35a66da33cafd3b82569 | /gateway/Dockerfile.Lean | 762f0e13259b45fc6b09952a48f168262cf70530 | [] | no_license | wupoyi1020/skypay | c6c7383e6bddb205760c46ad62d1d672e23a6a79 | bd4de266ad65403f53476a14da95bbb73034e5da | refs/heads/master | 1,588,601,029,481 | 1,554,254,105,000 | 1,554,254,105,000 | 179,183,188 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 605 | lean | # Run following commands before you run docker build.
# ./mvnw clean package
# mkdir -p target/dependency && (cd target/dependency; jar -xf ../*.jar)
FROM openjdk:8-jdk-alpine
VOLUME /tmp
ARG DEPENDENCY=target/dependency
COPY ${DEPENDENCY}/BOOT-INF/lib /app/lib
COPY ${DEPENDENCY}/META-INF /app/META-INF
COPY ${DEPENDENC... |
79190efc0546bb0e9ca6f9eb1a64a85bb5434934 | 86f6f4f8d827a196a32bfc646234b73328aeb306 | /examples/logic/unnamed_1834.lean | 4b43a4b0f9aa854316b28c07e6e401bf0ea350e9 | [] | no_license | jamescheuk91/mathematics_in_lean | 09f1f87d2b0dce53464ff0cbe592c568ff59cf5e | 4452499264e2975bca2f42565c0925506ba5dda3 | refs/heads/master | 1,679,716,410,967 | 1,613,957,947,000 | 1,613,957,947,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 242 | lean | import tactic
-- BEGIN
variables {α : Type*} [preorder α]
variables a b c : α
example : ¬ a < a :=
begin
rw lt_iff_le_not_le,
sorry
end
example : a < b → b < c → a < c :=
begin
simp only [lt_iff_le_not_le],
sorry
end
-- END |
b8357bfa5a124c60e7b1936c057f023860873fcb | 1abd1ed12aa68b375cdef28959f39531c6e95b84 | /src/algebra/module/submodule_lattice.lean | bb48cc9df28c56d5e5f2149b741210b5bec6e69a | [
"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 | 10,241 | 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, Kevin Buzzard, Yury Kudryashov
-/
import algebra.module.submodule
import algebra.punit_instances
/-!
# The lattice structure on `submodule`s
This file... |
5a3b673c2641d3c4868fbd5606f7647898881595 | 097294e9b80f0d9893ac160b9c7219aa135b51b9 | /instructor/types/nat/dm_nat.lean | f912c1cef19290c63f24b3527b5ffda00a776bc4 | [] | no_license | AbigailCastro17/CS2102-Discrete-Math | cf296251be9418ce90206f5e66bde9163e21abf9 | d741e4d2d6a9b2e0c8380e51706218b8f608cee4 | refs/heads/main | 1,682,891,087,358 | 1,621,401,341,000 | 1,621,401,341,000 | 368,749,959 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,559 | lean | /-
Our own implementation of Lean's nat type.
We call it dm_nat to avoid any possible name
conflicts. We also leave the type's namespace
closed.
-/
namespace hidden
inductive dm_nat : Type
| zero : dm_nat
| succ (n' : dm_nat) : dm_nat
def successor (n : dm_nat) :=
dm_nat.succ n
def pred (n : dm_nat) :=
match n... |
f80f3ca6b7115c3a93105dfd5735a525df2fdc4d | f5f7e6fae601a5fe3cac7cc3ed353ed781d62419 | /src/field_theory/splitting_field.lean | 81069116411275436ba09c3c9996ff57d7f6dccb | [
"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 | 7,741 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes
Definition of splitting fields, and definition of homomorphism into any field that splits
-/
import ring_theory.adjoin_root ring_theory.unique_factorization_domain
univer... |
a364a6279da80551008bd7ee2582def6c5a279d1 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /src/Lean/Meta/Reduce.lean | fbb390dfdf61fcd0f2ea1283f4267aea3cc1fa99 | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 1,417 | 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.Basic
import Lean.Meta.FunInfo
import Lean.Util.MonadCache
namespace Lean.Meta
partial def reduce (e : Expr) (explicitOnly skipTypes skip... |
dcfa9e286fe3abd7ad36697217621a0a669ac272 | 592ee40978ac7604005a4e0d35bbc4b467389241 | /Library/generated/mathscheme-lean/AdditiveSemigroup.lean | 4b309d74efbab98a21ee5278c45dcf260c9fd319 | [] | no_license | ysharoda/Deriving-Definitions | 3e149e6641fae440badd35ac110a0bd705a49ad2 | dfecb27572022de3d4aa702cae8db19957523a59 | refs/heads/master | 1,679,127,857,700 | 1,615,939,007,000 | 1,615,939,007,000 | 229,785,731 | 4 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 6,402 | lean | import init.data.nat.basic
import init.data.fin.basic
import data.vector
import .Prelude
open Staged
open nat
open fin
open vector
section AdditiveSemigroup
structure AdditiveSemigroup (A : Type) : Type :=
(plus : (A → (A → A)))
(associative_plus : (∀ {x y z : A} , (plus (plus x y) z) = (plus x (pl... |
b26dc7d438bdb3148f16783813db35bef16630da | 6dc0c8ce7a76229dd81e73ed4474f15f88a9e294 | /tests/lean/run/meta5.lean | 0bd47839593def86ca862141dc2a81f84a91f889 | [
"Apache-2.0"
] | permissive | williamdemeo/lean4 | 72161c58fe65c3ad955d6a3050bb7d37c04c0d54 | 6d00fcf1d6d873e195f9220c668ef9c58e9c4a35 | refs/heads/master | 1,678,305,356,877 | 1,614,708,995,000 | 1,614,708,995,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 641 | lean | import Lean.Meta
open Lean
open Lean.Meta
def tst1 : MetaM Unit :=
withLocalDeclD `y (mkConst `Nat) $ fun y => do
withLetDecl `x (mkConst `Nat) (mkNatLit 0) $ fun x => do {
let mvar ← mkFreshExprMVar (mkConst `Nat) MetavarKind.syntheticOpaque;
trace[Meta.debug]! mvar;
let r ← mkLambdaFVars #[y, x] mvar;
trace... |
e9cd77bb4567d5dbb7b34c0c05e80fca357a5f54 | 2eab05920d6eeb06665e1a6df77b3157354316ad | /src/data/sym/sym2.lean | 46cf48127ba215e7806309856d9bd3b2961ef0ae | [
"Apache-2.0"
] | permissive | ayush1801/mathlib | 78949b9f789f488148142221606bf15c02b960d2 | ce164e28f262acbb3de6281b3b03660a9f744e3c | refs/heads/master | 1,692,886,907,941 | 1,635,270,866,000 | 1,635,270,866,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 17,217 | lean | /-
Copyright (c) 2020 Kyle Miller All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kyle Miller
-/
import data.sym.basic
import tactic.linarith
/-!
# The symmetric square
This file defines the symmetric square, which is `α × α` modulo
swapping. This is also known as th... |
9d8418566d5a14e350b4324291b3052f8790ded9 | 6e36ebd5594a0d512dea8bc6ffe78c71b5b5032d | /src/mywork/Lectures/lecture_5.lean | 42f2b214018e7215e17c7f040bfec0bac4ea5662 | [] | no_license | wrw2ztk/cs2120f21 | cdc4b1b4043c8ae8f3c8c3c0e91cdacb2cfddb16 | f55df4c723d3ce989908679f5653e4be669334ae | refs/heads/main | 1,691,764,473,342 | 1,633,707,809,000 | 1,633,707,809,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,725 | lean | /-
INTRODUCTION and ELIMINATION RULES
-/
/-
For ∀ x, P x (every x has property P)
- introduction rule: assume arbitrary x, then show P x
- elimination rule: *apply* a proof of ∀ x, P x, as a
kind of function to a specific value of x, say k, to
produce a proof of P k.
-/
theorem silly : ∀ (n : ℕ), true :=
be... |
0b38722a117036654b544537fffa47e5b5cf7813 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/ring_theory/power_series/well_known.lean | 4d6decaf50f78bc8b046334191b73c1d928fc256 | [
"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 | 5,638 | 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 ring_theory.power_series.basic
import data.nat.parity
import algebra.big_operators.nat_antidiagonal
/-!
# Definition of well-known power series
In th... |
39c21a7da0524e765800f792b8517f6c99ca5ceb | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/linear_algebra/orientation.lean | 107bd5f34b839ab4a98d482d6997dd4de642c4ed | [
"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 | 16,865 | lean | /-
Copyright (c) 2021 Joseph Myers. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Myers
-/
import linear_algebra.ray
import linear_algebra.determinant
/-!
# Orientations of modules
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> Any changes to this file require ... |
fa7b3829744241ae319cf6c42d1922f930911c85 | 947b78d97130d56365ae2ec264df196ce769371a | /src/Init/Control/MonadRun.lean | 2263dd5cbde85d85d3481fc2a75a9a2f2eb29abb | [
"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 | 859 | lean | /-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sebastian Ullrich, Leonardo de Moura
-/
prelude
import Init.Control.MonadLift
universes u v
/-- Run a Monad stack to completion.
`run` should be the composition of the tra... |
03e02c525bf079771c3eff9bbb1acba8235bbc11 | c86b74188c4b7a462728b1abd659ab4e5828dd61 | /stage0/src/Lean/Elab/Term.lean | 0d41b3974a87c0c4d5895cac44600b8d5eb28e75 | [
"Apache-2.0"
] | permissive | cwb96/lean4 | 75e1f92f1ba98bbaa6b34da644b3dfab2ce7bf89 | b48831cda76e64f13dd1c0edde7ba5fb172ed57a | refs/heads/master | 1,686,347,881,407 | 1,624,483,842,000 | 1,624,483,842,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 74,314 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura, Sebastian Ullrich
-/
import Lean.ResolveName
import Lean.Util.Sorry
import Lean.Util.ReplaceExpr
import Lean.Structure
import Lean.Meta.ExprDefEq
import Lean.... |
33294650ba9e38b6a2c4f2be6fab58bec5bb2963 | 624f6f2ae8b3b1adc5f8f67a365c51d5126be45a | /stage0/src/Init/Lean/ProjFns.lean | 75222dec2e5f01827fd9eb91c1e18290435ceae4 | [
"Apache-2.0"
] | permissive | mhuisi/lean4 | 28d35a4febc2e251c7f05492e13f3b05d6f9b7af | dda44bc47f3e5d024508060dac2bcb59fd12e4c0 | refs/heads/master | 1,621,225,489,283 | 1,585,142,689,000 | 1,585,142,689,000 | 250,590,438 | 0 | 2 | Apache-2.0 | 1,602,443,220,000 | 1,585,327,814,000 | C | UTF-8 | Lean | false | false | 2,891 | lean | /-
Copyright (c) 2019 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Lean.Environment
namespace Lean
/- Given a structure `S`, Lean automatically creates an auxiliary definition (projection function)
... |
3dccc01d6fd1d718671de8c6505c5e7327397919 | e0f9ba56b7fedc16ef8697f6caeef5898b435143 | /src/analysis/calculus/mean_value.lean | 36be002ad414a7df250e29d6cae3ad3e6afc4f03 | [
"Apache-2.0"
] | permissive | anrddh/mathlib | 6a374da53c7e3a35cb0298b0cd67824efef362b4 | a4266a01d2dcb10de19369307c986d038c7bb6a6 | refs/heads/master | 1,656,710,827,909 | 1,589,560,456,000 | 1,589,560,456,000 | 264,271,800 | 0 | 0 | Apache-2.0 | 1,589,568,062,000 | 1,589,568,061,000 | null | UTF-8 | Lean | false | false | 38,640 | lean | /-
Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Sébastien Gouëzel, Yury Kudryashov
-/
import analysis.calculus.local_extr
import analysis.convex.topology
/-!
# The mean value inequality and equalities
In this file we prove the ... |
4352f92380e17fc824707ce2b8dc3e8155d1809e | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/linear_algebra/free_module/pid.lean | bc89bc4ca277797a1d78b5531fe173385191a870 | [
"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 | 25,523 | lean | /-
Copyright (c) 2020 Anne Baanen. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anne Baanen
-/
import linear_algebra.finsupp_vector_space
import ring_theory.principal_ideal_domain
import ring_theory.finiteness
/-! # Free modules over PID
A free `R`-module `M` is a... |
5c61643144ffd45f3b6f8211bfbc5cf7f7d47e3f | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/field_theory/subfield.lean | d79dd355a8b2a55469d2092dfb27fd1f0a2108cc | [] | 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 | 27,003 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.algebra.algebra.basic
import Mathlib.PostPort
universes u l u_1 v w
namespace Mathlib
/-!
# ... |
40a8ca5f4efd5f1c55aee8711bf76f89ecf9d29a | f57749ca63d6416f807b770f67559503fdb21001 | /tests/lean/hott/433.hlean | eaa162e8acb24ba67bb58a073bb14db28df3ba04 | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,838 | hlean | /-
Copyright (c) 2014 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Ported from Coq HoTT
Theorems about pi-types (dependent function spaces)
-/
import types.sigma
open eq equiv is_equiv funext
namespace pi
universe variables l k
... |
96981b9b996ef6094b7f68a5e2042fdf396d520a | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/set/disjointed_auto.lean | dcec9e2024dec14667f2f2050dd222e539171e09 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,158 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Disjointed sets
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.set.lattice
import Mathlib.tactic.wlog
import Mathlib.PostPort
unive... |
644014ec888af61239ad74ee889a3a17a6c530ff | 1dd482be3f611941db7801003235dc84147ec60a | /src/algebra/big_operators.lean | d6528daf2af054a1d6b22004769925e52f6b8f6f | [
"Apache-2.0"
] | permissive | sanderdahmen/mathlib | 479039302bd66434bb5672c2a4cecf8d69981458 | 8f0eae75cd2d8b7a083cf935666fcce4565df076 | refs/heads/master | 1,587,491,322,775 | 1,549,672,060,000 | 1,549,672,060,000 | 169,748,224 | 0 | 0 | Apache-2.0 | 1,549,636,694,000 | 1,549,636,694,000 | null | UTF-8 | Lean | false | false | 28,628 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
Some big operators for lists and finite sets.
-/
import data.list.basic data.list.perm data.finset
import algebra.group algebra.ordered_group algebra.group_power
unive... |
6e70fd03c36c6a0e40c87dc414db302a37c3d10d | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/algebraic_geometry/morphisms/quasi_compact.lean | b0914f8516fd2a4fb1f7ec8e8d051061917154e4 | [
"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 | 14,437 | lean | /-
Copyright (c) 2022 Andrew Yang. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Andrew Yang
-/
import algebraic_geometry.morphisms.basic
import topology.spectral.hom
import algebraic_geometry.limits
/-!
# Quasi-compact morphisms
> THIS FILE IS SYNCHRONIZED WITH MAT... |
aee12cf5e41a0cdd557e9320fdb01c0e1a65083b | 947b78d97130d56365ae2ec264df196ce769371a | /tests/lean/run/monadCache.lean | 4d0c071fb88a39bea83cdc5c1baff856e2b2dc1c | [
"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 | 1,352 | lean | import Lean
new_frontend
open Lean
partial def mkTower : Nat → Expr
| 0 => mkConst `a
| n+1 => mkApp2 (mkConst `f) (mkTower n) (mkTower n)
partial def depth : Expr → MonadCacheT Expr Nat CoreM Nat
| e =>
checkCache e fun e =>
match e with
| Expr.const c [] _ => pure 1
| Expr.app f a _ => do pure $ ... |
79a77ed660143932b602bad3ce3e98a487fccd28 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/data/pnat/defs.lean | 8c520024fe70fcad2751e477683702b4ae752354 | [
"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 | 6,831 | lean | /-
Copyright (c) 2017 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Neil Strickland
-/
import order.basic
import algebra.ne_zero
/-!
# The positive natural numbers
> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
> https://github.com... |
3fc0858ce9f297790c280a2aff4dae9d61477d0a | 130c49f47783503e462c16b2eff31933442be6ff | /src/Lean/Server/FileWorker/Utils.lean | 558b9ddcf4ecbe2b7cde7673751bea6abb1dddbb | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,415 | lean | /-
Copyright (c) 2020 Wojciech Nawrocki. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Wojciech Nawrocki, Marc Huisinga
-/
import Lean.Server.Utils
import Lean.Server.Snapshots
import Lean.Server.AsyncList
namespace Lean.Server.FileWorker
open Snapshots
open IO
def... |
eb054cdd230fdb3c9b0a81a744a57b26735b41d1 | a0e23cfdd129a671bf3154ee1a8a3a72bf4c7940 | /tests/lean/run/lean3_zulip_issues_1.lean | 497f9030bcfba5fd562fcbe093228c3552f5278b | [
"Apache-2.0"
] | permissive | WojciechKarpiel/lean4 | 7f89706b8e3c1f942b83a2c91a3a00b05da0e65b | f6e1314fa08293dea66a329e05b6c196a0189163 | refs/heads/master | 1,686,633,402,214 | 1,625,821,189,000 | 1,625,821,258,000 | 384,640,886 | 0 | 0 | Apache-2.0 | 1,625,903,617,000 | 1,625,903,026,000 | null | UTF-8 | Lean | false | false | 1,317 | lean | example : Prop := ∀ n, (n:Nat) + n = n.succ
example : Prop := ∀ n, n.succ = (n:Nat) + n
example : Prop := ∀ n, (n:Nat) + n.succ = n
example : Prop := ∀ n, n.succ + (n:Nat) = n
example : Prop := ∀ n, (n.succ:Nat) + n = n
example : Prop := ∀ n, (n:Nat).succ + n = n
def fib: Nat → Nat
| 0 => 0
| 1 => 1
| n + 2 => fib n +... |
44242605e91baa6bd32d521578c42969f94c0b86 | 55c7fc2bf55d496ace18cd6f3376e12bb14c8cc5 | /src/algebra/category/Group/colimits.lean | bc049da3dfcc620fca9b940de1df533a8f8f2d37 | [
"Apache-2.0"
] | permissive | dupuisf/mathlib | 62de4ec6544bf3b79086afd27b6529acfaf2c1bb | 8582b06b0a5d06c33ee07d0bdf7c646cae22cf36 | refs/heads/master | 1,669,494,854,016 | 1,595,692,409,000 | 1,595,692,409,000 | 272,046,630 | 0 | 0 | Apache-2.0 | 1,592,066,143,000 | 1,592,066,142,000 | null | UTF-8 | Lean | false | false | 8,530 | 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 algebra.category.Group.basic
import category_theory.limits.limits
import category_theory.limits.concrete_category
/-!
# The category of additive commutative g... |
a01ccef04805d4d1be9b757f621939e3dabfcb76 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/polynomial/derivative.lean | 5c670a3bb1b617109943b2fe240315357513d2c8 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,930 | 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 Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.polynomial.eval
import Mathlib.PostPort
u... |
e926655c5e779917cbcec411ba7c5f5ab7553792 | 271e26e338b0c14544a889c31c30b39c989f2e0f | /stage0/src/Init/Control/Lift.lean | 2611c7f8d158c8428e4604426e292f7b3d5b05bc | [
"Apache-2.0"
] | permissive | dgorokho/lean4 | 805f99b0b60c545b64ac34ab8237a8504f89d7d4 | e949a052bad59b1c7b54a82d24d516a656487d8a | refs/heads/master | 1,607,061,363,851 | 1,578,006,086,000 | 1,578,006,086,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,599 | 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... |
c45f963275b2a90c3693f1c97572fd3db07432b9 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/data/fin.lean | f48d855b0dab38de29e38d6c95537ffacf3cab8b | [
"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 | 78,564 | lean | /-
Copyright (c) 2017 Robert Y. Lewis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Robert Y. Lewis, Keeley Hoek
-/
import data.nat.cast
import data.int.basic
import tactic.localized
import tactic.apply_fun
import order.rel_iso
/-!
# The finite type with `n` element... |
eebd84a0766adda9f817539c563a3220ba30d057 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/substlet.lean | aa903ba537c05ec1f743c364634130faf9ca19b9 | [
"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 | 530 | lean | theorem ex1 (n : Nat) : 0 + n = n := by
let m := n
have h : ∃ k, id k = m := ⟨m, rfl⟩
cases h with
| intro a e =>
trace_state
subst e
trace_state
apply Nat.zero_add
theorem ex2 (n : Nat) : 0 + n = n := by
let m := n
have h : ∃ k, m = id k := ⟨m, rfl⟩
cases h with
| intro a e =>
trac... |
5a97313e4b757d902a872178aaf42966316e6f7b | f57749ca63d6416f807b770f67559503fdb21001 | /hott/types/cubical/squareover.hlean | d01cd2910b6f41b30f00600984e9141ffa9ffa72 | [
"Apache-2.0"
] | permissive | aliassaf/lean | bd54e85bed07b1ff6f01396551867b2677cbc6ac | f9b069b6a50756588b309b3d716c447004203152 | refs/heads/master | 1,610,982,152,948 | 1,438,916,029,000 | 1,438,916,029,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 8,805 | hlean | /-
Copyright (c) 2015 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Floris van Doorn
Squareovers
-/
import .square
open eq equiv is_equiv equiv.ops
namespace eq
-- we give the argument B explicitly, because Lean would find (λa, B a) by itself, ... |
d3de7e18f8ced68608d83fe79d331ff4c875447c | da23b545e1653cafd4ab88b3a42b9115a0b1355f | /src/tidy/chain.lean | f3b7680205573cdc9cad9594ae141f8667388d77 | [] | no_license | minchaowu/lean-tidy | 137f5058896e0e81dae84bf8d02b74101d21677a | 2d4c52d66cf07c59f8746e405ba861b4fa0e3835 | refs/heads/master | 1,585,283,406,120 | 1,535,094,033,000 | 1,535,094,033,000 | 145,945,792 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,532 | 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 .some_goal
import .repeat_at_least_once
import .recover
import .pretty_print
import data.option
open interactive
namespace tactic
/-
This file defines a... |
73984fa36185a0b5226bdf785cc7fdccd9409336 | 7617a8700fc3eebd9200f1e620ee65b3565d2eff | /src/vc0/basic.lean | d7f82c9684ff01f4ca2a101dbdbcc5c38444fc0e | [] | no_license | digama0/vc0 | 9747eee791c5c2f58eb53264ca6263ee53de0f87 | b8b192c8c139e0b5a25a7284b93ed53cdf7fd7a5 | refs/heads/master | 1,626,186,940,436 | 1,592,385,972,000 | 1,592,385,972,000 | 158,556,766 | 5 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 35,176 | lean | import c0.dyn_ok
namespace c0
open ast ast.gdecl
namespace ast
inductive okind : ast → Prop
| nil : okind []
| cons {d Γ} : gdecl.ok Γ d → okind Γ → okind (d :: Γ)
theorem ok.ind {Γ : ast} (h : Γ.ok) : Γ.okind :=
begin
rw ← Γ.reverse_reverse,
suffices : ∀ Γ ds, ok' Γ ds → okind Γ → okind (list.reverse_core ds ... |
73ba57185ce06580593051aa39164bc7bbc852ec | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/pi.lean | 1872e2d550b42699dde581502bd57473f130013d | [
"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 | 4,539 | lean | /-
Copyright (c) 2020 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Simon Hudon, Patrick Massot, Eric Wieser
-/
import tactic.split_ifs
import tactic.simpa
import tactic.congr
import algebra.group.to_additive
/-!
# Instances and theorems on pi types
This... |
ee11a82b4ea100b6b0313b74663c1bee0701e06b | dfd42d30132c2867977fefe7edae98b6dc703aeb | /src/riemann_sphere.lean | fd951b325738a0d2141def5a00de6e9b9670f23b | [] | no_license | justadzr/lean-2021 | 1e42057ac75c794c94b8f148a27a24150c685f68 | dfc6b30de2f27bdba5fbc51183e2b84e73a920d1 | refs/heads/master | 1,689,652,366,522 | 1,630,313,809,000 | 1,630,313,809,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 65 | lean | import riemann_surfaces
import alexandroff
noncomputable theory
|
b873d8e35ed81c23c995c2768fc7c427c781eb81 | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/measure_theory/function/strongly_measurable/inner.lean | 2d147cf26fd68525ba3221c57e4e7a8fb90d4918 | [
"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 | 1,913 | lean | /-
Copyright (c) 2021 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne, Sébastien Gouëzel
-/
import measure_theory.function.strongly_measurable.basic
import analysis.inner_product_space.basic
/-!
# Inner products of strongly measurable functio... |
2219bdf25970b0c45308f5548b47d6c61e0eca15 | 432d948a4d3d242fdfb44b81c9e1b1baacd58617 | /src/analysis/convex/basic.lean | 18dc7110ab5b56a3e1f5350edd5529fc439eba61 | [
"Apache-2.0"
] | permissive | JLimperg/aesop3 | 306cc6570c556568897ed2e508c8869667252e8a | a4a116f650cc7403428e72bd2e2c4cda300fe03f | refs/heads/master | 1,682,884,916,368 | 1,620,320,033,000 | 1,620,320,033,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 58,511 | lean | /-
Copyright (c) 2019 Alexander Bentkamp. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Alexander Bentkamp, Yury Kudriashov
-/
import data.set.intervals.ord_connected
import data.set.intervals.image_preimage
import data.complex.module
import linear_algebra.affine_spac... |
2330de5b02172ef40b9081a1f5373f878cf1606e | 4727251e0cd73359b15b664c3170e5d754078599 | /src/category_theory/path_category.lean | 963973e54270a1fad6fab87863a5659d54433e9a | [
"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 | 5,246 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.eq_to_hom
import category_theory.quotient
import combinatorics.quiver.path
/-!
# The category paths on a quiver.
When `C` is a quiver, `paths ... |
61ae1ed37740b3767a262e9b607f5997619d3f36 | 4fa161becb8ce7378a709f5992a594764699e268 | /src/algebra/ordered_ring.lean | ff2d3c5a692df7108a2fcc005d7932537cbb56e3 | [
"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 | 43,939 | 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.ring
import algebra.ordered_group
set_option default_priority 100 -- see Note [default priority]
set_option old_struc... |
b78cef760debf7cf569e9af3f0244a5077d7ae6d | 7e6221dc7a7676e3cf6c16a885e41c71809ee528 | /src/tactic/ring.lean | 8990d24e9c94b4713e2209e0462ec38e997e9935 | [
"Apache-2.0"
] | permissive | jpburelle/mathlib | e89f5a032d1b8d0f8bfe4aeaaf2520a8f4e1560d | b44fa3ca86bc6ccc6366f8246d0ee10dffaeea4e | refs/heads/master | 1,659,493,177,351 | 1,589,529,475,000 | 1,589,529,475,000 | 264,193,699 | 0 | 0 | Apache-2.0 | 1,589,547,412,000 | 1,589,547,412,000 | null | UTF-8 | Lean | false | false | 21,795 | 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 tactic.norm_num
/-!
# `ring`
Evaluate expressions in the language of commutative (semi)rings.
Based on <http://www.cs.ru.nl/~freek/courses/tt-2014/read/10.1.... |
d04d2c24edec5d02e869d5125a919c326ca6068d | b7f22e51856f4989b970961f794f1c435f9b8f78 | /tests/lean/run/blast7.lean | dd49488eb3d3ef4640535bcd060bc0844e04f55b | [
"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 | 136 | lean | set_option blast.strategy "preprocess"
lemma lemma1 (p : Prop) (a b : nat) : a = b → p → p :=
by blast
reveal lemma1
print lemma1
|
1921d824605b7c1211d85e1032a53c550b4cd987 | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/analysis/convex/strict_convex_space.lean | efab1f4c5916dd8b0cb8bc2afa166fda0d11aae1 | [
"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 | 14,990 | lean | /-
Copyright (c) 2022 Yaël Dillies. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yaël Dillies, Yury Kudryashov
-/
import analysis.convex.strict
import analysis.convex.topology
import analysis.normed_space.ordered
import analysis.normed_space.pointwise
import analysis... |
e26705982ce61357377635b6f1317903b582a151 | 07c76fbd96ea1786cc6392fa834be62643cea420 | /hott/homotopy/complex_hopf.hlean | a425af5a15be1000640c5bd9be53fb70b90ba3a5 | [
"Apache-2.0"
] | permissive | fpvandoorn/lean2 | 5a430a153b570bf70dc8526d06f18fc000a60ad9 | 0889cf65b7b3cebfb8831b8731d89c2453dd1e9f | refs/heads/master | 1,592,036,508,364 | 1,545,093,958,000 | 1,545,093,958,000 | 75,436,854 | 0 | 0 | null | 1,480,718,780,000 | 1,480,718,780,000 | null | UTF-8 | Lean | false | false | 1,611 | hlean | /-
Copyright (c) 2016 Ulrik Buchholtz and Egbert Rijke. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Ulrik Buchholtz, Egbert Rijke, Floris van Doorn
The H-space structure on S¹ and the complex Hopf fibration
(the standard one).
-/
import .hopf .circle types.fin
o... |
e710f9384ac8b28722de29f294edcda9c006f44f | 9dc8cecdf3c4634764a18254e94d43da07142918 | /src/group_theory/index.lean | 52bcb63b48b14766454cb3b238dd8f7611f7c3f7 | [
"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 | 12,492 | 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.quotient_group
import set_theory.cardinal.finite
/-!
# Index of a Subgroup
In this file we define the index of a subgroup, and prove several ... |
e0d8f4406b5c8eeacd2e6a0279a7d241989591f1 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/products/default_auto.lean | b82167d2f1c6cfd85084f9050b0fa213a83fdec5 | [] | 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 | 216 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.products.bifunctor
import Mathlib.category_theory.products.associator
import Mathlib.PostPort
namespace Mathlib
end Mathlib |
58255fd9bf2dd5afdf84963509653c573628cb2f | 130c49f47783503e462c16b2eff31933442be6ff | /stage0/src/Init/Classical.lean | 92e0d4f8f3ccf56ce23729b5944dd41c0a7097c2 | [
"Apache-2.0"
] | permissive | Hazel-Brown/lean4 | 8aa5860e282435ffc30dcdfccd34006c59d1d39c | 79e6732fc6bbf5af831b76f310f9c488d44e7a16 | refs/heads/master | 1,689,218,208,951 | 1,629,736,869,000 | 1,629,736,896,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 5,391 | 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
-/
prelude
import Init.Core
import Init.NotationExtra
universe u v
/- Classical reasoning support -/
namespace Classical
axiom choice {α : Sort u} : Nonemp... |
838eae6488637ca246ca030edb91dafe4f5725f2 | d1bbf1801b3dcb214451d48214589f511061da63 | /src/order/atoms.lean | 0a57488fb49e9055abd924d479d9ac5bd26b5d8a | [
"Apache-2.0"
] | permissive | cheraghchi/mathlib | 5c366f8c4f8e66973b60c37881889da8390cab86 | f29d1c3038422168fbbdb2526abf7c0ff13e86db | refs/heads/master | 1,676,577,831,283 | 1,610,894,638,000 | 1,610,894,638,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 10,629 | lean | /-
Copyright (c) 2020 Aaron Anderson. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Aaron Anderson.
-/
import order.complete_boolean_algebra
import order.order_dual
import order.lattice_intervals
import order.rel_iso
import data.fintype.basic
/-!
# Atoms, Coatoms, a... |
83ddde34f65d335af7d7a59e4102f71838404349 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/run/CompilerPullInstances.lean | 2d419e91e9dbfd945f8a8f64a5e860a17ed6e022 | [
"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 | 674 | lean | import Lean.Compiler.Main
import Lean.Compiler.LCNF.Testing
import Lean.Elab.Do
open Lean
open Lean.Compiler.LCNF
-- Run compilation twice to avoid the output caused by the inliner
#eval Compiler.compile #[``Lean.Meta.synthInstance, ``Lean.Elab.Term.Do.elabDo]
@[cpass]
def pullInstancesFixTest : PassInstaller := Tes... |
2f9c9e9ff4ecaf0ca658670c3bc755d8db77e146 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/multiset/lattice_auto.lean | 769725f00cf3b9f489198ad6bf3c5b61a9a72462 | [] | no_license | AurelienSaue/Mathlib4_auto | f538cfd0980f65a6361eadea39e6fc639e9dae14 | 590df64109b08190abe22358fabc3eae000943f2 | refs/heads/master | 1,683,906,849,776 | 1,622,564,669,000 | 1,622,564,669,000 | 371,723,747 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,410 | 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.data.multiset.finset_ops
import Mathlib.data.multiset.fold
import Mathlib.PostPort
universe... |
d37f8cabf007f4bda61a17277e6cede68f385b35 | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/order/rel_classes.lean | d6a165327257e3b1af91523435bcbf54de65e0dd | [
"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 | 14,218 | lean | /-
Copyright (c) 2020 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro, Yury G. Kudryashov
-/
import order.basic
/-!
# Unbundled relation classes
In this file we prove some properties of `is_*` classes defined in `init.algeb... |
849a2c28189d8c4e754306d120f2a8051ca05eed | c31182a012eec69da0a1f6c05f42b0f0717d212d | /src/thm95/modify_complex.lean | af33e7059bba52c254ecd8abcafb9e03732bd17f | [] | no_license | Ja1941/lean-liquid | fbec3ffc7fc67df1b5ca95b7ee225685ab9ffbdc | 8e80ed0cbdf5145d6814e833a674eaf05a1495c1 | refs/heads/master | 1,689,437,983,362 | 1,628,362,719,000 | 1,628,362,719,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,612 | lean | import algebra.homology.homological_complex
import category_theory.preadditive.additive_functor
namespace homological_complex
open category_theory category_theory.limits
variables {ι : Type} {V₁ V₂ : Type*} {c : complex_shape ι}
variables [category V₁] [category V₂] [preadditive V₁] [preadditive V₂]
-- this is of c... |
20fbd7fa50e65fb9b05e1072abeb0be8485724b2 | 36c7a18fd72e5b57229bd8ba36493daf536a19ce | /library/algebra/lattice.lean | 30f70f78e7a2b30bc71c7b68c333c7b7384750d1 | [
"Apache-2.0"
] | permissive | YHVHvx/lean | 732bf0fb7a298cd7fe0f15d82f8e248c11db49e9 | 038369533e0136dd395dc252084d3c1853accbf2 | refs/heads/master | 1,610,701,080,210 | 1,449,128,595,000 | 1,449,128,595,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,099 | lean | /-
Copyright (c) 2014 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Jeremy Avigad
-/
import .order
namespace algebra
variable {A : Type}
/- lattices (we could split this to upper- and lower-semilattices, if needed) -/
structure lattice [class] (A : T... |
e0286e4da4f26811b06a5e82518893536a8f8edf | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/group_theory/congruence.lean | f78a2af87d12eb72cdd00c1b27b926dbf7104407 | [
"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 | 48,299 | 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 ... |
5d45fb113703b962438f2d3e3a693d907f3f4f48 | e38d5e91d30731bef617cc9b6de7f79c34cdce9a | /src/core/connection/meet.lean | 7327700169fe131086fb223eeefcc73141429343 | [
"Apache-2.0"
] | permissive | bbentzen/cubicalean | 55e979c303fbf55a81ac46b1000c944b2498be7a | 3b94cd2aefdfc2163c263bd3fc6f2086fef814b5 | refs/heads/master | 1,588,314,875,258 | 1,554,412,699,000 | 1,554,412,699,000 | 177,333,390 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 3,321 | lean | /-
Copyright (c) 2019 Bruno Bentzen. All rights reserved.
Released under the Apache License 2.0 (see "License");
Author: Bruno Bentzen
-/
import logic.function ...path.groupoid.ops
open interval
-- the meet connection
def meet.horn {A : Type} (kan : has_hcom2 A)
(p : I → A) : horn2 A :=
let u := ho... |
a4ae65120f2182e1ed033c2c9eae7f9167fbf736 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/1057.lean | 790677c0962626ea26544315e84eab167bd020c8 | [
"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 | 166 | lean | inductive T
| t : T
@[reducible] def T.eval : T → Type
| T.t => Int
def T.default (τ : T) : τ.eval :=
match τ, τ.eval with
| T.t, .(Int) => (0 : Int)
|
864b6d16eec688e7cdc0fadabbbacd2d267a8f1d | 69d4931b605e11ca61881fc4f66db50a0a875e39 | /src/data/indicator_function.lean | 36eeab71baa822bda55e84440ac1052d9958802c | [
"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 | 19,969 | lean | /-
Copyright (c) 2020 Zhouhang Zhou. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Zhouhang Zhou
-/
import algebra.group.pi
import group_theory.group_action
import data.support
import data.finset.lattice
/-!
# Indicator function
- `indicator (s : set α) (f : α → β) ... |
b25ceafbb5b6da3310c68d9feed50a03a410ca51 | bb31430994044506fa42fd667e2d556327e18dfe | /src/data/finset/default.lean | b8d3d55dabbaf7e541f2cf65f895024e261a32d6 | [
"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 | 273 | lean | import data.finset.basic
import data.finset.fold
import data.finset.image
import data.finset.lattice
import data.finset.locally_finite
import data.finset.nat_antidiagonal
import data.finset.pi
import data.finset.powerset
import data.finset.sort
import data.finset.preimage
|
b476da304a313d3bae1b4f56f907552538a3a8c9 | 9be442d9ec2fcf442516ed6e9e1660aa9071b7bd | /tests/lean/run/newfrontend1.lean | b118ccc8472754aaf0b3fa2160e2f224a5124ae5 | [
"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 | 8,794 | lean | def x := 1
#check x
variable {α : Type}
def f (a : α) : α :=
a
def tst (xs : List Nat) : Nat :=
xs.foldl (init := 10) (· + ·)
#check tst [1, 2, 3]
#check fun x y : Nat => x + y
#check tst
#check (fun stx => if True then let e := stx; Pure.pure e else Pure.pure stx : Nat → Id Nat)
#check let x : Nat := 1; x
de... |
6ba93e994aaab3b7c94be43ce5401ffef6498884 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/category_theory/preadditive/functor_category.lean | 602be9aebf3e640e0518d82cd16e969b55ee1950 | [
"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 | 2,703 | lean | /-
Copyright (c) 2021 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin
-/
import category_theory.preadditive.basic
/-!
# Preadditive structure on functor categories
If `C` and `D` are categories and `D` is preadditive,
then `C ⥤ D` is al... |
64d5a1022541d8fa13715e69c9056bd23cc56245 | 5ae26df177f810c5006841e9c73dc56e01b978d7 | /src/data/real/cardinality.lean | 393e3b260983227c4e032b757326d3521f3578be | [
"Apache-2.0"
] | permissive | ChrisHughes24/mathlib | 98322577c460bc6b1fe5c21f42ce33ad1c3e5558 | a2a867e827c2a6702beb9efc2b9282bd801d5f9a | refs/heads/master | 1,583,848,251,477 | 1,565,164,247,000 | 1,565,164,247,000 | 129,409,993 | 0 | 1 | Apache-2.0 | 1,565,164,817,000 | 1,523,628,059,000 | Lean | UTF-8 | Lean | false | false | 5,059 | lean | /-
Copyright (c) 2019 Floris van Doorn. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Floris van Doorn
The cardinality of the reals.
-/
import data.real.basic set_theory.ordinal analysis.specific_limits data.rat.denumerable
open nat set
noncomputable theory
namespa... |
3feeda2d27d157d2709c1817a0990df7954fbac2 | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/examples/ffi/lib/lean/FFI/Add.lean | cb6091bcaae22d4e28e745c4e2bd2f710a9fe996 | [
"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 | @[extern "my_add"]
opaque myAdd : UInt32 → UInt32 → UInt32
|
3ba2719e14189afc7245a014b22fb9a43e6e4ab7 | c777c32c8e484e195053731103c5e52af26a25d1 | /src/analysis/special_functions/trigonometric/complex.lean | 5291d37b34aac2681e8d78d6940d5c974aa7c4ea | [
"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 | 9,322 | lean | /-
Copyright (c) 2018 Chris Hughes. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Chris Hughes, Abhimanyu Pallavi Sudhir, Jean Lo, Calle Sönne, Benjamin Davidson
-/
import algebra.quadratic_discriminant
import analysis.convex.specific_functions
/-!
# Complex trigonom... |
78c53976c1b31f51e2e8dfb82f896e901b2039fa | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /test/norm_cast_lemma_order.lean | ca350f1f625714b328ad47f279e6c024234499d3 | [
"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 | 645 | lean | import data.nat.cast.defs
import tactic.norm_cast
constant ℝ : Type
@[instance] constant real.add_monoid_with_one : add_monoid_with_one ℝ
-- set_option trace.simplify.rewrite true
set_option pp.notation false
set_option pp.numerals false
-- should work
run_cmd norm_cast.numeral_to_coe `(0 : ℝ)
run_cmd norm_cast.nume... |
d404eb264c20fd5addb3002ee499cd4bd56c4658 | 618003631150032a5676f229d13a079ac875ff77 | /src/order/filter/partial.lean | 81a5dd74a817ea310bedf99114013b4f7130aa02 | [
"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 | 8,435 | lean | /-
Copyright (c) 2019 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad
Extends `tendsto` to relations and partial functions.
-/
import order.filter.basic
universes u v w
namespace filter
variables {α : Type u} {β : Type v} {γ : Type w}
/-
... |
2565c57ded781c23d2e546ff3ee2fc4b221aef3b | aa5a655c05e5359a70646b7154e7cac59f0b4132 | /tests/lean/run/casesUsing.lean | e51a59a7bd5817c2b414f4651db642d2653ce96f | [
"Apache-2.0"
] | permissive | lambdaxymox/lean4 | ae943c960a42247e06eff25c35338268d07454cb | 278d47c77270664ef29715faab467feac8a0f446 | refs/heads/master | 1,677,891,867,340 | 1,612,500,005,000 | 1,612,500,005,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,497 | lean | import Lean
open Lean
open Lean.Meta
open Lean.Elab.Tactic
universes u
axiom elimEx (motive : Nat → Nat → Sort u) (x y : Nat)
(diag : (a : Nat) → motive a a)
(upper : (delta a : Nat) → motive a (a + delta.succ))
(lower : (delta a : Nat) → motive (a + delta.succ) a)
: motive y x
theorem ex1 (p q : Nat) : p ≤... |
061c5ecfb018e778c37932073d0972462aa8722b | 9c1ad797ec8a5eddb37d34806c543602d9a6bf70 | /functor.lean | 47a806c2ae1915267bf1f9672d5edf795f44e410 | [] | no_license | timjb/lean-category-theory | 816eefc3a0582c22c05f4ee1c57ed04e57c0982f | 12916cce261d08bb8740bc85e0175b75fb2a60f4 | refs/heads/master | 1,611,078,926,765 | 1,492,080,000,000 | 1,492,080,000,000 | 88,348,246 | 0 | 0 | null | 1,492,262,499,000 | 1,492,262,498,000 | null | UTF-8 | Lean | false | false | 4,627 | lean | -- Copyright (c) 2017 Scott Morrison. All rights reserved.
-- Released under Apache 2.0 license as described in the file LICENSE.
-- Authors: Stephen Morgan, Scott Morrison
import .category
open tqft.categories
namespace tqft.categories.functor
structure {u1 v1 u2 v2} Functor (C : Category.{ u1 v1 }) (D : Category.... |
6cf1fc36af5e990f066bc4f41cf11fa9fee18d33 | 77c5b91fae1b966ddd1db969ba37b6f0e4901e88 | /src/topology/urysohns_lemma.lean | 7b6e6e20512f13e720eca095d5b34aff08a2b974 | [
"Apache-2.0"
] | permissive | dexmagic/mathlib | ff48eefc56e2412429b31d4fddd41a976eb287ce | 7a5d15a955a92a90e1d398b2281916b9c41270b2 | refs/heads/master | 1,693,481,322,046 | 1,633,360,193,000 | 1,633,360,193,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 12,671 | 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 analysis.normed_space.add_torsor
import linear_algebra.affine_space.ordered
import topology.continuous_function.basic
/-!
# Urysohn's lemma
In this f... |
2cdae5815ffbc046d0158ca2e3f1d913d92c9901 | 4727251e0cd73359b15b664c3170e5d754078599 | /src/algebra/ring/ulift.lean | d09849d02ccc1af98a4654dc5c33dc916a9baa71 | [
"Apache-2.0"
] | permissive | Vierkantor/mathlib | 0ea59ac32a3a43c93c44d70f441c4ee810ccceca | 83bc3b9ce9b13910b57bda6b56222495ebd31c2f | refs/heads/master | 1,658,323,012,449 | 1,652,256,003,000 | 1,652,256,003,000 | 209,296,341 | 0 | 1 | Apache-2.0 | 1,568,807,655,000 | 1,568,807,655,000 | null | UTF-8 | Lean | false | false | 4,820 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import algebra.group.ulift
import algebra.ring.equiv
/-!
# `ulift` instances for ring
This file defines instances for ring, semiring and related structures on `ulif... |
2e1250ed5f11c1e01f0f960660102f4b6525cdcf | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebraic_geometry/EllipticCurve.lean | 0e9a84eddac20a945c7e685b38b5124f64add560 | [
"Apache-2.0"
] | permissive | AntoineChambert-Loir/mathlib | 64aabb896129885f12296a799818061bc90da1ff | 07be904260ab6e36a5769680b6012f03a4727134 | refs/heads/master | 1,693,187,631,771 | 1,636,719,886,000 | 1,636,719,886,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 4,041 | lean | /-
Copyright (c) 2021 Kevin Buzzard. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kevin Buzzard
-/
import algebra.group_power
import data.rat.basic
import tactic.norm_num
/-!
# The category of elliptic curves (over a field or a PID)
We give a working definition of... |
ffbe274c8606b89e72751ebb51e8ed94ad32354a | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/ring_theory/free_comm_ring.lean | 7a3211dfad72a595aab2830917b92eecab7f0bf9 | [
"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 | 14,162 | lean | /-
Copyright (c) 2019 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Johan Commelin
-/
import data.mv_polynomial.equiv
import data.mv_polynomial.comm_ring
import logic.equiv.functor
import ring_theory.free_ring
/-!
# Free commutative rings
> THI... |
6830a8e7887d38d5fb5acd69a0a036c6f577e3ca | 7cef822f3b952965621309e88eadf618da0c8ae9 | /src/data/list/sigma.lean | 404b7e0ebc98c13c9be9179050d58bf670b2961f | [
"Apache-2.0"
] | permissive | rmitta/mathlib | 8d90aee30b4db2b013e01f62c33f297d7e64a43d | 883d974b608845bad30ae19e27e33c285200bf84 | refs/heads/master | 1,585,776,832,544 | 1,576,874,096,000 | 1,576,874,096,000 | 153,663,165 | 0 | 2 | Apache-2.0 | 1,544,806,490,000 | 1,539,884,365,000 | Lean | UTF-8 | Lean | false | false | 23,985 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Mario Carneiro, Sean Leather
Functions on lists of sigma types.
-/
import data.list.perm data.sigma
universes u v
namespace list
variables {α : Type u} {β : α → Type v}
/- keys -/
... |
ad0cce8529aa891259d2b4ad8573f156e10e08ff | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /src/lake/examples/scripts/lakefile.lean | 9552d46561408214e709fbcc4feff114da83513b | [
"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 | 407 | lean | import Lake
open Lake DSL
package scripts
/--
Display a greeting
USAGE:
lake run greet [name]
Greet the entity with the given name. Otherwise, greet the whole world.
-/
@[default_script]
script greet (args) do
if h : 0 < args.length then
IO.println s!"Hello, {args[0]'h}!"
else
IO.println "Hello, world... |
0e1d447f8240581f1d8ddb4c69889a0ca7b1da5f | 947fa6c38e48771ae886239b4edce6db6e18d0fb | /src/combinatorics/simple_graph/basic.lean | 4c4736d82a20bb94c6ca93d4ffd94f7a9c523e72 | [
"Apache-2.0"
] | permissive | ramonfmir/mathlib | c5dc8b33155473fab97c38bd3aa6723dc289beaa | 14c52e990c17f5a00c0cc9e09847af16fabbed25 | refs/heads/master | 1,661,979,343,526 | 1,660,830,384,000 | 1,660,830,384,000 | 182,072,989 | 0 | 0 | null | 1,555,585,876,000 | 1,555,585,876,000 | null | UTF-8 | Lean | false | false | 46,687 | lean | /-
Copyright (c) 2020 Aaron Anderson, Jalex Stark, Kyle Miller. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Aaron Anderson, Jalex Stark, Kyle Miller, Alena Gusakov, Hunter Monroe
-/
import data.rel
import data.set.finite
import data.sym.sym2
/-!
# Simple graphs
Th... |
50eace267a5bdef4910e730cbab8ac4ece3f066c | 70f8755415fa7a17f87402cde4651e9f4db1b5bb | /src/mvqpf/comp.lean | 308416525ffa5dde27bd31243f1e5e199e3655b5 | [
"Apache-2.0"
] | permissive | shingarov/qpf | ab935dc2298db12c87ac011a2e4d2c27e0bdef4b | debe2eacb8cf46b21aba2eaf3f2e20940da0263b | refs/heads/master | 1,653,705,576,607 | 1,570,136,035,000 | 1,570,136,035,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 1,854 | lean |
import mvpfunctor.basic
import mvqpf.basic
universes u
namespace mvqpf
variables {n m : ℕ}
(F : typevec.{u} n → Type*) [mvfunctor F] [q : mvqpf F]
(G : fin' n → typevec.{u} m → Type u) [∀ i, mvfunctor $ G i] [q' : ∀ i, mvqpf $ G i]
def comp (v : typevec.{u} m) : Type* :=
F $ λ i : fin' n, G i v
namespace comp
... |
beb14d3005df7d3326fd9a449a31edac78749ded | e4a7c8ab8b68ca0e53d2c21397320ea590fa01c6 | /src/data/polya/field/default.lean | 6f4863487e395f14b34c8afcaee75f764420951b | [] | no_license | lean-forward/field | 3ff5dc5f43de40f35481b375f8c871cd0a07c766 | 7e2127ad485aec25e58a1b9c82a6bb74a599467a | refs/heads/master | 1,590,947,010,909 | 1,563,811,881,000 | 1,563,811,881,000 | 190,415,651 | 1 | 0 | null | 1,563,643,371,000 | 1,559,746,688,000 | Lean | UTF-8 | Lean | false | false | 12 | lean | import .main |
c5c89b4a895e61dcc5315cd18641d9df5ead965c | 8cae430f0a71442d02dbb1cbb14073b31048e4b0 | /src/data/pfunctor/multivariate/M.lean | b74d0ef8d645af8924ec83530feb47b072fdfb04 | [
"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 | 11,596 | lean | /-
Copyright (c) 2018 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Mario Carneiro, Simon Hudon
-/
import data.pfunctor.multivariate.basic
import data.pfunctor.univariate.M
/-!
# The M construction as a multivariate polynomial functor.
... |
4b2209e38216e973d8c89407d9bde01b78f613a2 | 8711b4976859218c98ea2129103249d693a4178b | /src/modal_logic/axioms.lean | c2b2e8a0984e42882c5a4aa02863ce7ad4526770 | [] | no_license | kendfrey/modal_logic | e2433c122ff7012aa743739283ceaa3451e41e79 | c07b5524de478cb57d796d0617b28990c7c77770 | refs/heads/master | 1,679,147,393,521 | 1,615,255,686,000 | 1,615,255,686,000 | 345,164,286 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 7,095 | lean | import modal_logic.classes
class is_dense (α : Type*) (r : α → α → Prop) : Prop :=
(dense : ∀ a b, r a b → ∃ c, r a c ∧ r c b)
instance is_refl.is_dense {α r} [is_refl α r] : is_dense α r := ⟨λ a b h, ⟨a, refl a, h⟩⟩
class is_serial (α : Type*) (r : α → α → Prop) : Prop :=
(serial : ∀ a, ∃ b, r a b)
instance is_ref... |
f2db94ec0f4dfb4b4571930eb28c4f9244baec30 | d406927ab5617694ec9ea7001f101b7c9e3d9702 | /src/algebra/module/hom.lean | 1bc931a85ecceea941c7292978311a3c3060bcb5 | [
"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 | 1,815 | lean | /-
Copyright (c) 2021 Eric Wieser. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Eric Wieser
-/
import algebra.module.pi
/-!
# Bundled hom instances for module and multiplicative actions
This file defines instances for module, mul_action and related structures on bu... |
6fb1e2bad2b644e58c2f206b43a5cd8f80f89345 | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/analysis/box_integral/partition/tagged.lean | 090be6c7aca9f471620ce5258db26137714b4ffc | [
"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 | 16,004 | lean | /-
Copyright (c) 2021 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Yury Kudryashov
-/
import analysis.box_integral.partition.basic
/-!
# Tagged partitions
A tagged (pre)partition is a (pre)partition `π` enriched with a tagged point for each box of
... |
ecfa77531cc5e4bde4cf3f2eff2850f963ce531e | a5084ddd747b77e77a324f1808b1a7bd33c0f232 | /src/sylow.lean | ac375cddc4f30e64f03d36b2be46d874439834bd | [] | no_license | ChrisHughes24/Sylow | 182654894c315c7f6af7eae6d40cdefebdd3e72c | 64fba83fc3d9e3a875f2a768f84d9fc0bf1e0eb8 | refs/heads/master | 1,631,517,565,568 | 1,628,880,386,000 | 1,628,880,386,000 | 137,903,621 | 2 | 2 | null | 1,628,880,387,000 | 1,529,418,841,000 | Lean | UTF-8 | Lean | false | false | 49,127 | lean | import group_theory.order_of_element .Zmod algebra.pi_instances
open equiv fintype finset function
universes u v w
variables {G : Type u} {α : Type v} {β : Type w} [group G]
namespace finset
lemma filter_insert_of_pos [decidable_eq α] (s : finset α) {P : α → Prop}
[decidable_pred P] (a : α) (h : P a) : (in... |
de51a487f0497dafe867af5bb139e644c35ee3cd | 5d166a16ae129621cb54ca9dde86c275d7d2b483 | /tests/lean/run/set_attr1.lean | c98dd54b5bcf2d8c64da0f4b50097836f4c4e5a6 | [
"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 | 240 | lean | open tactic
constant f : nat → nat
constant foo : ∀ n, f n = n + 1
constant zadd : ∀ n, 0 + n = n
definition ex1 (n : nat) : 0 + f n = n + 1 :=
by do
set_basic_attribute `simp `foo ff,
set_basic_attribute `simp `zadd ff,
simp
|
86f25736ad98fff57ea940728ef95090ff399097 | fa02ed5a3c9c0adee3c26887a16855e7841c668b | /src/algebra/big_operators/default.lean | 1453249964cf8ef354641727bc673ca6160fb3f1 | [
"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 | 411 | lean | -- Import this file to pull in everything about "big operators".
-- When preparing a contribution to mathlib, it is best to minimize the imports you use.
import algebra.big_operators.order
import algebra.big_operators.intervals
import algebra.big_operators.ring
import algebra.big_operators.pi
import algebra.big_operato... |
84923de60feab1047ae08cfea186884a1f1d85df | d9d511f37a523cd7659d6f573f990e2a0af93c6f | /src/data/mv_polynomial/equiv.lean | ea8e300d883d71136288c857c8af7d7b5efde087 | [
"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 | 12,928 | 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
-/
import data.mv_polynomial.rename
import data.equiv.fin
import data.polynomial.algebra_map
/-!
# Equivalences between polynomial ring... |
bddcb6a33038e2b9adf1db2beae45865069f0e7e | fe208a542cea7b2d6d7ff79f94d535f6d11d814a | /src/Dedekind_cuts/kenny_lau_effort.lean | 8a110f140d282cc2554b5cdc2b2e4bc2fb34ddf2 | [] | no_license | ImperialCollegeLondon/M1F_room_342_questions | c4b98b14113fe900a7f388762269305faff73e63 | 63de9a6ab9c27a433039dd5530bc9b10b1d227f7 | refs/heads/master | 1,585,807,312,561 | 1,545,232,972,000 | 1,545,232,972,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 14,298 | lean | import algebra.archimedean data.set.intervals order.conditionally_complete_lattice
namespace set
protected def dite (c : Prop) {α : Type*} (pos : c → set α) (neg : ¬c → set α) : set α :=
{ x | (∃ hc, x ∈ pos hc) ∨ (∃ hnc, x ∈ neg hnc) }
protected def ite (c : Prop) {α : Type*} (pos neg : set α) : set α :=
set.dite c... |
2c1318b5d5bfe335f230573e8afd128a55fb647e | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/category_theory/monad/default.lean | cb2cbf4da4faafeec6c4519c75a3bf4a0f007b16 | [] | 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 | 191 | lean | import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.category_theory.monad.limits
import Mathlib.category_theory.monad.types
import Mathlib.PostPort
namespace Mathlib
|
b7a48b0e9d68e83e59723b652d0bdd64e3adaeb8 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/topology/opens.lean | 588a57d588d3624dd3ae11e21f4892a514e7bce2 | [
"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 | 8,934 | lean | /-
Copyright (c) 2017 Johannes Hölzl. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl, Mario Carneiro, Floris van Doorn
-/
import topology.bases
import topology.homeomorph
import topology.continuous_function.basic
/-!
# Open sets
## Summary
We define th... |
5abe12cae26680b7840b0dcba1953faeb1243534 | 35677d2df3f081738fa6b08138e03ee36bc33cad | /src/linear_algebra/dimension.lean | ba58cb8edad738d5a82c21f2a5345f164006c5f7 | [
"Apache-2.0"
] | permissive | gebner/mathlib | eab0150cc4f79ec45d2016a8c21750244a2e7ff0 | cc6a6edc397c55118df62831e23bfbd6e6c6b4ab | refs/heads/master | 1,625,574,853,976 | 1,586,712,827,000 | 1,586,712,827,000 | 99,101,412 | 1 | 0 | Apache-2.0 | 1,586,716,389,000 | 1,501,667,958,000 | Lean | UTF-8 | Lean | false | false | 16,743 | lean | /-
Copyright (c) 2018 Mario Carneiro. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Mario Carneiro, Johannes Hölzl, Sander Dahmen
-/
import linear_algebra.basis
import set_theory.ordinal
/-!
# Dimension of modules and vector spaces
## Main definitions
* The dimension... |
57e8137edcbc463495a352c8121dadfce3ef09f8 | 2a70b774d16dbdf5a533432ee0ebab6838df0948 | /_target/deps/mathlib/src/data/complex/is_R_or_C.lean | 688308b1da06e06e0d116eb9e6efec7788953176 | [
"Apache-2.0"
] | permissive | hjvromen/lewis | 40b035973df7c77ebf927afab7878c76d05ff758 | 105b675f73630f028ad5d890897a51b3c1146fb0 | refs/heads/master | 1,677,944,636,343 | 1,676,555,301,000 | 1,676,555,301,000 | 327,553,599 | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 30,621 | lean | /-
Copyright (c) 2020 Frédéric Dupuis. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Frédéric Dupuis
-/
import analysis.normed_space.basic
import analysis.complex.basic
/-!
# `is_R_or_C`: a typeclass for ℝ or ℂ
This file defines the typeclass `is_R_or_C` intended t... |
d17edae745fd0e828d5f0eb4ce0eb938ac3aa2d5 | 076f5040b63237c6dd928c6401329ed5adcb0e44 | /instructor-notes/2019.10.29.props_and_proofs/2019.10.31.props_and_proofs.lean | 9cd4823fe726af24f78ce16cfd65a2a0635f93d4 | [] | no_license | kevinsullivan/uva-cs-dm-f19 | 0f123689cf6cb078f263950b18382a7086bf30be | 09a950752884bd7ade4be33e9e89a2c4b1927167 | refs/heads/master | 1,594,771,841,541 | 1,575,853,850,000 | 1,575,853,850,000 | 205,433,890 | 4 | 9 | null | 1,571,592,121,000 | 1,567,188,539,000 | Lean | UTF-8 | Lean | false | false | 11,779 | lean | /-
(1) Boo! Happy Halloween!
(2) You gotta love the ℕs!
(3) Notes from Tue in IN
(4) Weather warning.
(3) No exam on Tuesday.
-/
/-
Review: We define day to be a type.
-/
inductive day : Type
/-
Type is the type of *computational* types.
Constructors define the values of the type.
-/
| mon
| tue
| wed
| thu
| fri
| ... |
dcb210ee5f70cde4bd6c99f3ed0057cbc28ff14a | 4d2583807a5ac6caaffd3d7a5f646d61ca85d532 | /src/algebra/algebra/subalgebra.lean | fbd699600ce67896248310a3038cf956ed143353 | [
"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 | 39,558 | lean | /-
Copyright (c) 2018 Kenny Lau. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Kenny Lau, Yury Kudryashov
-/
import algebra.algebra.operations
import data.set.Union_lift
/-!
# Subalgebras over Commutative Semiring
In this file we define `subalgebra`s and the usual o... |
b6858c37bb274a6523518f7da65d8afb8dabce3b | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/data/nat/digits_auto.lean | 22a7a6140fb75f5d4c2e8b9d106766e5c9b68608 | [] | 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 | 11,929 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Shing Tak Lam, Mario Carneiro
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.data.int.modeq
import Mathlib.tactic.interval_cases
import M... |
f9cdaff50fbe9dd6b23b59862bf4ea10cd507462 | e898bfefd5cb60a60220830c5eba68cab8d02c79 | /uexp/src/uexp/rules/aggregateProjectPullUpConstants.lean | de47cd949ccd87bd7e54b15603d52e3d1f390a2b | [
"BSD-2-Clause"
] | permissive | kkpapa/Cosette | 9ed09e2dc4c1ecdef815c30b5501f64a7383a2ce | fda8fdbbf0de6c1be9b4104b87bbb06cede46329 | refs/heads/master | 1,584,573,128,049 | 1,526,370,422,000 | 1,526,370,422,000 | null | 0 | 0 | null | null | null | null | UTF-8 | Lean | false | false | 2,738 | lean | /-
⟦ Γ ⊢ (SELECT (combineGroupByProj PLAIN(uvariable (right⋅emp_job)) (combineGroupByProj PLAIN(uvariable (right⋅emp_empno)) (combineGroupByProj PLAIN(uvariable (right⋅emp_sal)) (SUM(uvariable (right⋅emp_sal)))))) FROM1 (table rel_emp) WHERE (equal (uvariable (right⋅emp_empno)) (constantExpr integer_10)) GROUP BY (c... |
91d8c5d35f1f65f2d9ed3ff2c0f619d2a61bce00 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/topology/list_auto.lean | f7f62f97bd17ee348285d5aca8fa64bba03dc484 | [] | 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 | 6,147 | lean | /-
Copyright (c) 2019 Reid Barton. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johannes Hölzl
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.topology.constructions
import Mathlib.topology.algebra.group
import Mathlib.PostPort
universe... |
73b36e1594a2848952bacfddffd895b73b56e915 | 74addaa0e41490cbaf2abd313a764c96df57b05d | /Mathlib/tactic/hint_auto.lean | 1a00aa63f8df7684d1f3e130e33e7b7ce404e8af | [] | 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 | 1,009 | lean | /-
Copyright (c) 2020 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import Mathlib.PrePort
import Mathlib.Lean3Lib.init.default
import Mathlib.tactic.solve_by_elim
import Mathlib.tactic.interactive
import Mathlib.PostPort
namespace M... |
6f5cb7172de60891898f511407a3367b3febca00 | 206422fb9edabf63def0ed2aa3f489150fb09ccb | /src/order/filter/bases.lean | 5d68676054e7615a425f9d94b40fba19eb206a23 | [
"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 | 36,171 | lean | /-
Copyright (c) 2020 Yury Kudryashov. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Yury Kudryashov, Johannes Hölzl, Mario Carneiro, Patrick Massot
-/
import order.filter.basic
import data.set.countable
/-!
# Filter bases
A filter basis `B : filter_basis α` on a typ... |
d9aed529004c836e0d26f56ad26ee7529af55cba | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/category_theory/path_category.lean | 6623c1350a54dbf0279af922dbef37db4a0d36c1 | [
"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 | 2,534 | lean | /-
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison
-/
import category_theory.eq_to_hom
import combinatorics.quiver.path
/-!
# The category paths on a quiver.
-/
universes v₁ v₂ u₁ u₂
namespace category_theory
section... |
e07c822a5b0019720d423337f35bbb3815466425 | 75db7e3219bba2fbf41bf5b905f34fcb3c6ca3f2 | /tests/lean/hott/delta_issue2.hlean | 47b6fbe4b56848958133465373db7d9319c88b24 | [
"Apache-2.0"
] | permissive | jroesch/lean | 30ef0860fa905d35b9ad6f76de1a4f65c9af6871 | 3de4ec1a6ce9a960feb2a48eeea8b53246fa34f2 | refs/heads/master | 1,586,090,835,348 | 1,455,142,203,000 | 1,455,142,277,000 | 51,536,958 | 1 | 0 | null | 1,455,215,811,000 | 1,455,215,811,000 | null | UTF-8 | Lean | false | false | 704 | hlean | open nat eq
theorem add_assoc₁ : Π (a b c : ℕ), (a + b) + c = a + (b + c)
| a b 0 := eq.refl (nat.rec a (λ x, succ) b)
| a b (succ n) :=
calc (a + b) + (succ n) = succ ((a + b) + n) : rfl
... = succ (a + (b + n)) : ap succ (add_assoc₁ a b n)
... = a + (succ (b + n)) : rfl
... |
be902b37908232647ea50394ac90116d3ad28ebb | 6432ea7a083ff6ba21ea17af9ee47b9c371760f7 | /tests/lean/macroStack.lean | aab0b96cfd7f67dbaf105a9c88c7f5887d0c57b2 | [
"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 | 307 | lean | --
def f1 :=
if h:x then 1 else 0
set_option pp.macroStack true
def f2 :=
if h:(x > 0) then 1 else 0
def x := <- get
macro "foo!" x:term:max : term => `(let x := "hello"; $x + x)
macro "bla!" x:term:max : term => `(fun (x : Nat) => if foo! ($x + x) < 1 then true else false)
def f (x : Nat) :=
bla! x
|
6371150e4a2f271421d21c0d049857fa805e4305 | 57c233acf9386e610d99ed20ef139c5f97504ba3 | /src/data/real/golden_ratio.lean | dbb1e6f021a0c702227979519552311991c79e82 | [
"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 | 5,572 | lean | /-
Copyright (c) 2020 Anatole Dedecker. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Anatole Dedecker, Alexey Soloyev, Junyan Xu
-/
import data.real.irrational
import data.nat.fib
import data.fin.vec_notation
import tactic.ring_exp
import algebra.linear_recurrence
/... |
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