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1731 commits

Author SHA1 Message Date
Floris van Doorn
e5d5ef9d55 feat(hott/library): various changes and additions. 
Most notably:
Give le.refl the attribute [refl]. This simplifies tactic proofs in various places.
Redefine the order of trunc_index, and instantiate it as weak order.
Add more about pointed equivalences.
 2016-03-03 10:13:20 -08:00
Floris van Doorn
bf403e124a feat(nat/div): port to HoTT library 2016-03-03 10:13:20 -08:00
Jeremy Avigad
87252bbffe fix(library/data/set/basic): add spaces in notation for bounded quantifiers 2016-03-03 11:50:40 -05:00
Jeremy Avigad
dc6cd71236 fix(library/algebra/monotone): fix theorem names 2016-03-02 22:54:51 -05:00
Jeremy Avigad
4050892889 refactor(library/*): rename 'compose' to 'comp' 2016-03-02 22:48:05 -05:00
Jeremy Avigad
ebb3e60096 feat(library/algebra/monotone): add properties of monotone functions 2016-03-02 22:01:35 -05:00
Jeremy Avigad
3d09144d73 feat(library/algebra/homomorphism): add homomorphisms between algebraic structures 2016-03-02 19:45:45 -05:00
Daniel Selsam
c23528b5d8 feat(library/blast/blast): use defeq_simplifier to normalize 2016-03-01 13:44:33 -08:00
Leonardo de Moura
fbe5188480 refactor(frontends/lean): remove 'by+' and 'begin+' tokens 2016-02-29 13:45:43 -08:00
Leonardo de Moura
79ba2638b7 fix(library/data/set/equinumerosity): add missing 'using' 2016-02-29 13:29:03 -08:00
Leonardo de Moura
faa0031d4e refactor(library,hott): remove 'by+' and 'begin+' 2016-02-29 13:15:48 -08:00
Leonardo de Moura
b41c65f549 feat(frontends/lean): remove '[visible]' annotation, remove 'is_visible' tracking 2016-02-29 12:31:23 -08:00
Leonardo de Moura
3b73b5b207 fix(library/theories/group_theory): have-tactic 2016-02-29 12:13:53 -08:00
Leonardo de Moura
deb1b3dc79 refactor(library): replace assert-exprs with have-exprs 2016-02-29 11:53:26 -08:00
Leonardo de Moura
101cf1ec4c feat(frontends/lean): remove difference between 'have' and 'assert' 2016-02-29 11:28:20 -08:00
Leonardo de Moura
5a4dd3f237 feat(library/reducible): remove [quasireducible] annotation 2016-02-25 17:42:44 -08:00
Leonardo de Moura
768ba1c363 refactor(library/hott): remove more unnecessary annotations 2016-02-25 14:30:00 -08:00
Leonardo de Moura
510168a387 refactor(library,hott): remove unnecessary annotations 2016-02-25 12:26:20 -08:00
Leonardo de Moura
146edde5b3 feat(library/class): mark instances as quasireducible by default 
quasireducible are also known as lazyreducible.

There is a lot of work to be done.
We still need to revise blast, and add a normalizer for type class
instances. This commit worksaround that by eagerly unfolding
quasireducible.
 2016-02-25 12:11:29 -08:00
Leonardo de Moura
c85d6d5a1e fix(library/init/tactic): typo 2016-02-24 16:10:35 -08:00
Leonardo de Moura
1924b2884c refactor(library/tactic): remove 'append' and 'interleave' tacticals 
Preparation for major refactoring in the tactic framework.
 2016-02-24 16:02:16 -08:00
Sebastian Ullrich
3de216d302 chore(*.md): fix/remove broken links 2016-02-23 10:11:24 -08:00
Jeremy Avigad
1546c04154 feat(library/theories/analysis/complex_norm): instantiate complex numbers as a real normed vector space 2016-02-22 11:25:24 -08:00
Jeremy Avigad
5246072e96 feat(library/theories/analysis/inner_product): add real inner product spaces 2016-02-22 11:25:24 -08:00
Jeremy Avigad
7f1eb76091 feat(library/theories/analysis/normed_space): add specializations to modules over the reals, to help the elaborator 2016-02-22 11:25:24 -08:00
Jeremy Avigad
ea42a76dc5 refactor/feat(library/theories/analysis/sqrt): break out sqrt, add properties 2016-02-22 11:25:23 -08:00
Jeremy Avigad
3c18f05cab feat(library/algebra): add some useful facts 2016-02-22 11:25:23 -08:00
Jeremy Avigad
158acf878d feat(library/data/set/filter): work in material from Jacob Gross 2016-02-22 11:25:23 -08:00
Jeremy Avigad
41342f53df refactor(library/data/set/filter): get filters working with complete lattice notation 2016-02-22 11:25:23 -08:00
Jeremy Avigad
a08395b17e refactor(library/algebra/complete_lattice): make complete lattices more usable 
I addressed two problems. First, the theorem names and notation were all in
the namespace complete_lattice. The problem was that if you opened that
namespace, names (like "sup" and "inf") and notation clashed with global notation
for lattices.

The other problem was that if you defined a lattice using Sup, the Sup you got
was not the Sup you want; it was the Sup-construction from the Inf-construction
from the Sup.

Everything seems good now.
 2016-02-22 11:25:23 -08:00
Jeremy Avigad
7fe71c972f feat(library/data/set/basic): add theorems for bounded unions and intersections 2016-02-22 11:25:23 -08:00
Jeremy Avigad
518a77587a refactor(library/data/{set,finset},library/*): use compl for set and finset complement 2016-02-22 11:25:23 -08:00
Jeremy Avigad
8f83c78bc9 fix(library/logic/identities,library/*): fix implicit arguments, add implications. Closes #1002. 2016-02-22 11:25:23 -08:00
Jeremy Avigad
769ae6830d feat(library/data/set/function): add facts about preimages 2016-02-22 11:25:23 -08:00
Jeremy Avigad
a72f6666e8 feat(library/data/set/basic): add two theorems 2016-02-22 11:25:23 -08:00
Jeremy Avigad
797905b803 feat(library/theories/topology/order_topology): add order_topology, from Jacob Gross 2016-02-22 11:25:23 -08:00
Jeremy Avigad
b8d3f34d14 feat(library/data/set/basic): add a couple of theorems 2016-02-22 11:25:23 -08:00
Jeremy Avigad
03cd2c0013 feat/refactor(library/algebra/interval): use i for infinite, add some theorems 2016-02-22 11:25:23 -08:00
Jeremy Avigad
e80559237a fix(library/data/real): tinker with instances 
Convert two instances of has_zero and has_one to local instance,
and change one "[instance]" to a "[trans_instance]". This (by
accident) fixed a problem Rob had a couple of weeks ago.
 2016-02-22 11:25:23 -08:00
Jeremy Avigad
15c9ec12cf fix(library/data/real/division): make temporary has_div only a local instance 2016-02-22 11:25:23 -08:00
Floris van Doorn
facd94a1b4 feat(hott): various changes 
more about pointed truncated types, including pointed sets.
also increase the priority of some basic instances that nat/num/pos_num/trunc_index have 0, 1 and + (in both libraries)
also move the notation + for sum into the namespace sum, to (sometimes) avoid overloading with add
 2016-02-22 11:15:38 -08:00
Jacob Gross
db8ed5dd08 feat (library/theories/topology/basic) : add separation theorems 
add T0, T1, T2 separation theorems and add closed singleton theorem for T1 spaces
 2016-02-22 11:11:54 -08:00
Sean Leather
7852524370 fix(library/data/list/sorted): incorrect name 2016-02-22 11:06:39 -08:00
Rob Lewis
b047c9c037 refactor(theories/{analysis, topology}): clean up proofs connecting open balls and open sets 2016-02-12 11:50:11 -08:00
Rob Lewis
68bc41b5fe feat(data/set): add missing set theorems 2016-02-12 11:50:11 -08:00
Rob Lewis
4a41e78124 fix(theories/analysis): make variables implicit in continuous_at_intro 2016-02-12 11:50:10 -08:00
Rob Lewis
2c56a2c48b feat(theories/{analysis, topology}): show eps-delta and topological continuity coincide on metric spaces 2016-02-12 11:50:10 -08:00
Rob Lewis
eb05741ce6 feat(data/set): add missing set membership theorems 2016-02-12 11:50:10 -08:00
Rob Lewis
685049988c feat(theories/analysis): define metric topology 2016-02-12 11:50:10 -08:00
Rob Lewis
b8d86ffe48 feat(theories/topology): add theorem for proving sets open 2016-02-12 11:50:10 -08:00
Floris van Doorn
e14d4a4c0c feat(init/wf): port from standard library to HoTT library 
After this commit we need some more advanced theorems in init/wf, notably function extenstionality.
For this reason I had to refactor the init folder a little bit.
To keep the init folders in both libraries similar, I did the same refactorization in the standard library, even though that was not required for the standard library
 2016-02-09 10:03:48 -08:00
Leonardo de Moura
42fbc63bb6 fix(library/tc_multigraph): avoid name collisions 
@avigad, @fpvandoorn, @rlewis1988, @dselsam

I changed how transitive instances are named.
The motivation is to avoid a naming collision problem found by Daniel.
Before this commit, we were getting an error on the following file
tests/lean/run/collision_bug.lean.

Now, transitive instances contain the prefix "_trans_".
It makes it clear this is an internal definition and it should not be used
by users.

This change also demonstrates (again) how the `rewrite` tactic is
fragile. The problem is that the matching procedure used by it has
very little support for solving matching constraints that involving type
class instances. Eventually, we will need to reimplement `rewrite`
using the new unification procedure used in blast.

In the meantime, the workaround is to use `krewrite` (as usual).
 2016-02-04 13:15:42 -08:00
Rob Lewis
87ec5ada07 fix(analysis/metric_space): unnecessary import, style, remove unnecessary lines 2016-02-04 11:03:28 -08:00
Rob Lewis
a675a5ede2 fix(algebra/ordered_field, analysis/real_limit): generalize theorem to ordered fields 2016-02-04 11:03:28 -08:00
Rob Lewis
f402f322aa feat(theories/analysis): add theorems about convergent sequences, functions, and continuity 2016-02-04 11:03:28 -08:00
Rob Lewis
ffed988a34 feat(data/list): add missing theorems 2016-02-04 11:03:28 -08:00
Rob Lewis
dcfc496992 feat(algebra/ordered_field): ad missing theorem 2016-02-04 11:03:28 -08:00
Rob Lewis
40a1371cd0 feat(theories/analysis): define real square roots 2016-02-04 11:03:28 -08:00
Rob Lewis
796e16bdb7 feat(library/theories/analysis): add theorems about convergent functions in metric spaces 2016-02-04 11:03:28 -08:00
Rob Lewis
cb4f71b16c feat(library/data/real): add more theorems concerning rationals embedded in reals 2016-02-04 11:03:28 -08:00
Rob Lewis
110036c4dc feat(library/algebra/ordered_field): add missing theorems 2016-02-04 11:03:28 -08:00
Leonardo de Moura
790dbc53c3 refactor(library/algebra/ring): cleanup 2016-02-03 20:07:12 -08:00
Leonardo de Moura
cb12b9b876 refactor(library): cleanup proofs 
Fixed proofs that broke when we tried to implement a "checkpoint" have.
 2016-02-03 19:52:23 -08:00
Leonardo de Moura
c779590517 feat(library/algebra/ring): add lemma 2016-01-30 16:34:59 -08:00
Jeremy Avigad
b4d8b1db33 fix(library/library.md): update and correct information. Fixes #973. 2016-01-24 16:26:58 -08:00
Jeremy Avigad
27865e1c8b feat(library/algebra/order_bigops): add min and max over finsets and finite sets 2016-01-24 16:26:57 -08:00
Jeremy Avigad
53b2d90c90 feat(library/data/{set,finset}): add some useful facts 2016-01-24 16:26:57 -08:00
Jeremy Avigad
69d953126a refactor(library/algebra/ordered_group,ordered_ring): add versions of classes with decidable linear order, for min and max 2016-01-24 16:26:57 -08:00
Jeremy Avigad
1980baf784 feat(library/algebra/group_bigops): add Prod_semigroup, for cases without a unit 2016-01-24 16:26:57 -08:00
Leonardo de Moura
dc5ca99afa fix(library/data/real/basic): unnecessary level of indirection 
At real.comm_ring, `add` is `@add real real_has_add`.
This is bad for any tactic (e.g., blast) that only unfolds reducible definitions.
`add` is not reducible. So, the tactic will not be able to establish
that `@add real real_has_add` is definitionally equal to `real.add`.
 2016-01-24 13:37:15 -08:00
Jeremy Avigad
86fc326e08 refactor/feat(library/theories/analysis/*): reorganize analysis library and add some theorems 2016-01-16 10:53:56 -08:00
Leonardo de Moura
b975717875 feat(init/logic): add cast_heq 2016-01-13 14:18:01 -08:00
Leonardo de Moura
8f7b533ca1 refactor(library): move 'cast' to init folder 2016-01-13 11:17:42 -08:00
Leonardo de Moura
c646c3cacc feat(library/init/logic): add subsingleton.helim with heterogeneous equality 2016-01-10 16:47:45 -08:00
Leonardo de Moura
d3242a2068 refactor(library): rename heq.of_eq heq.to_eq auxiliary lemmas 2016-01-09 12:32:18 -08:00
Johannes Hölzl
12571c92d8 refactor(library/algebra): explicit parameters also for fun instances 2016-01-06 10:58:14 -08:00
Johannes Hölzl
6d6a00f48b refactor(library/algebra): fix theorem names 2016-01-06 10:57:55 -08:00
Johannes Hölzl
f7ea9a5f64 feat(library/algebra): add theory about Galois connections 
Adds a small theory about Galois connections, i.e. order theoretic adjoints, and their relations to
least upper and greatest lower bounds.
 2016-01-06 10:57:32 -08:00
Johannes Hölzl
9c28552afb feat(library/algebra): add lattice instances for Prop, fun, and set 
Adds weak_order, lattice and complete_lattice instances for Prop, fun, and set. Adds supporting
theorems to various other places.
 2016-01-06 10:57:32 -08:00
Rob Lewis
458725e63f feat(library/algebra): add missing theorems to group and ordered ring 2016-01-04 14:45:39 -05:00
Rob Lewis
031831f101 feat(library/tactic): add replace tactic 2016-01-04 14:43:31 -05:00
Jeremy Avigad
d9118ded76 feat(library/theories/topology/basic): show that generated topology is initial 2016-01-03 18:52:25 -08:00
Jeremy Avigad
4289daddcb refactor(library/data/{set,finset}/basic,library/*): change notation for image to tick mark 2016-01-03 18:52:25 -08:00
Jeremy Avigad
17f6ab3a71 fix(library/data/set/basic): fix spacing in notation 2016-01-03 18:52:25 -08:00
Jeremy Avigad
7600d04533 library/algebra/complete_lattice): fix typo in comment 2016-01-03 18:52:25 -08:00
Jeremy Avigad
173368801b fix(library/algebra/interval): rename namespace, and move a theorem 2016-01-03 18:52:25 -08:00
Jeremy Avigad
31aa256b99 feat(library/theories/measure_theory/sigma_algebra): start with definition and properties of sigma algebras 2016-01-03 18:52:25 -08:00
Jeremy Avigad
721f6c87bf feat(library/data/set/basic): add some theorems 2016-01-03 18:52:25 -08:00
Leonardo de Moura
66a722ff5a feat(library/unifier): remove "eager delta hack", use is_def_eq when delta-constraint does not have metavariables anymore 
The "eager-delta hack" was added to minimize problems in the interaction
between coercions and delta-constraints.
 2016-01-03 12:39:32 -08:00
Leonardo de Moura
5feef27c2b feat(frontends/lean/notation_cmd): relax restriction on user defined tokens 
Before this commit, Lean would forbid new tokens containing '(' or ')'.
We relax this restriction. Now, we just forbid new tokens starting with '(' or ending with ')'.
 2016-01-02 13:58:46 -08:00
Leonardo de Moura
0963ce336f feat(library/blast): add 'grind' and 'grind_simp' blast strategies 
The use [intro] [intro!] [elim] [simp] lemmas.
The [simp] lemmas are only used by grind_simp.
 2016-01-01 17:32:13 -08:00
Leonardo de Moura
4f1415174e refactor(library/data): "union." ==> "union_", "inter." ==> "inter_" 2016-01-01 16:13:44 -08:00
Leonardo de Moura
4e2494f12e refactor(library/init/nat): minor cleanup 2016-01-01 15:56:46 -08:00
Leonardo de Moura
ac9d6c2021 refactor(library/data/bool): cleanup bool proofs and fix bxor definition 2016-01-01 13:52:42 -08:00
Leonardo de Moura
52ec7e6d57 feat(library/blast/recursor): add 'blast.recursor.max_rounds' options and iterative deepening for recursor_strategy 2016-01-01 13:09:37 -08:00
Leonardo de Moura
712e19e22a fix(library/blast/forward/ematch): bug in the ematching procedure 2015-12-31 21:26:44 -08:00
Leonardo de Moura
54f2c0f254 feat(library/blast/forward): inst_simp should use the left-hand-side as a pattern (if none is provided by the user) 
The motivation is to reduce the number of instances generated by ematching.

For example, given

   inv_inv:  forall a, (a⁻¹)⁻¹ = a

the new heuristic uses ((a⁻¹)⁻¹) as the pattern.
This matches the intuition that inv_inv should be used a simplification
rule.

The default pattern inference procedure would use (a⁻¹). This is bad
because it generates an infinite chain of instances whenever there is a
term (a⁻¹) in the proof state.
By using (a⁻¹), we get
   (a⁻¹)⁻¹ = a
Now that we have (a⁻¹)⁻¹, we can match again and generate
   ((a⁻¹)⁻¹)⁻¹ = a⁻¹
and so on
 2015-12-31 20:20:39 -08:00
Jeremy Avigad
0fb398c217 fix(library/data/nat/bigops): delete some blank lines 2015-12-31 15:16:57 -08:00
Jeremy Avigad
7f25dd6646 feat(library/data/nat/bigops): sums and products over intervals of natural numbers 2015-12-31 15:16:57 -08:00
Jeremy Avigad
12a69bad04 refactor(library/data/finset/basic,library/*): get rid of finset singleton 2015-12-31 15:16:57 -08:00