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
