Floris van Doorn
e2b31a9b33
feat(hott): remove multiple_instances attribute
2016-03-03 10:13:20 -08:00
Floris van Doorn
af4ba3d2fb
feat(hott): prove that the (n+1)-sphere is n-connected
2016-03-03 10:13:20 -08:00
Floris van Doorn
e515875464
feat(hott): various additions
2016-03-03 10:13:20 -08:00
Floris van Doorn
c6e628da12
feat(hott): more computation rules for trunc_index and use nats for Lemma 8.6.2
2016-03-03 10:13:20 -08:00
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
65b367ddff
feat(fin): port more parts of fin from the standard library
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
Floris van Doorn
4238fdd3d8
fix(hott): add missing links to markdown files
2016-03-03 10:13:20 -08:00
Jakob von Raumer
1104537d02
chore(hott) adjust to new naming for pointed types and truncated types
2016-03-01 13:52:53 -08:00
Jakob von Raumer
2b13777bbe
feat(hott) add type functors, maybe they should be changed to be un-funexted.
2016-03-01 13:52:53 -08:00
Jakob von Raumer
11458f64fe
feat(hott/algebra) add order categories
2016-03-01 13:52:53 -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
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
cc8d9bc7ff
refactor(hott): replace 'assert'-expr with 'have'-expr
2016-02-29 12:11:17 -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
d501295ec1
refactor(algebra/binary): remove unnecessary annotations
2016-02-25 15:11:52 -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
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
Floris van Doorn
6cdbc0f79f
feat(pointed/equiv): add more theorems
...
The theorems are mostly about the interaction between pointed equivalences and pointed homotopies
Some of these theorems were missing for (unpointed) equivalences, so I also added them there
2016-02-22 11:15:39 -08:00
Floris van Doorn
eea2a1ac91
feat(hott): add some more abstracts
2016-02-22 11:15:39 -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
Floris van Doorn
087c44d614
style(hott): rename instances of pType using pfoo instead of Foo
...
For example, the pointed suspension operation was called Susp before this commit, but now is called psusp
2016-02-22 11:15:38 -08:00
Floris van Doorn
c64e5a114c
feat(circle): add missing facts that the circle is 1-truncated and 0-connected
2016-02-22 11:15:38 -08:00
Floris van Doorn
bac6d99cc7
style(hott): rename Pointed to pType
...
also rename sigma_equiv_sigma_id to sigma_equiv_sigma_right and similarly for pi
2016-02-22 11:15:38 -08:00
Floris van Doorn
43cf2ad23d
style(hott): replace all other occurrences of hprop/hset
...
They are replaced by either Prop/Set or prop/set
2016-02-22 11:15:38 -08:00
Floris van Doorn
4e2cc66061
style(*): rename is_hprop/is_hset to is_prop/is_set
2016-02-22 11:15:38 -08:00
Floris van Doorn
816237315c
feat(hott): various additions, especially for pointed maps/homotopies/equivalences
2016-02-22 11:15:38 -08:00
Floris van Doorn
ecc141779a
feat(init.path): update init.path to use tactics, also some additions
...
Now the file hardly uses eq.rec explicitly anymore.
Also add the fact that horizontal and vertical inverses of paths are equal
Make one more argument explicit in eq.cancel_left and eq.cancel_right (to make it nicer to write 'apply cancel_right p')
2016-02-22 11:15:38 -08:00
Floris van Doorn
7f09ba328e
feat(hott): small changes
2016-02-22 11:15:38 -08:00
Floris van Doorn
78092af27f
feat(hott): add some attributes
2016-02-22 11:15:38 -08:00
Floris van Doorn
cd74b6bff0
fix(hott): abstract some equivalence proofs
...
Note: this is important. I proved a quite complicated equivalence with calc, by chaining these
equivalences. Now if I want to know the underlying function of this composite equivalence, I have to
unfold all these instances. Without the abstracts, this took 14 seconds, and afterwards, it took 2
seconds.
2016-02-22 11:15:38 -08:00
Floris van Doorn
42b78962f9
feat(init/wf): simplify definition acc.drec
2016-02-09 10:03:48 -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
Jakob von Raumer
c0abcc7722
chore(hott): fix signature of previous lemma
2016-02-09 09:59:03 -08:00
Jakob von Raumer
3c7536cff8
chore(hott): clean up cancellability proof a bit
2016-02-09 09:58:57 -08:00
Jakob von Raumer
4d6c516c01
feat(hott): add lemma: equivalent fin sets come from equal numbers, sums with fin sets are cancellable
2016-02-09 09:58:52 -08:00
Jakob von Raumer
4edb6d7765
feat(hott): finish cancelling law for sums with unit
2016-02-09 09:58:31 -08:00
Jakob von Raumer
0ad8131985
feat(hott): start cancellation proof for sums
2016-02-09 09:58:24 -08:00
Jakob von Raumer
62e1431f04
chore(hott): delay lemmas about smash product until I have more ideas on how to tackle the coherence there.
2016-02-09 09:58:17 -08:00
Jakob von Raumer
1042f6c29d
feat(hott): port finite ordinal sets from the std library, with all things related to nat.mod and to fintype still missing.
...
create a logic.hlean file for further extension of the logic theory in the prelude. add distributivity lemmas for products and sums.
2016-02-09 09:58:10 -08:00
Jakob von Raumer
cb3bc1a311
feat(hott): add another constructor for pointed equivalences
2016-02-09 09:57:59 -08:00
Jakob von Raumer
23dec19aa7
feat(hott): start lemma about smashing with bool
2016-02-09 09:57:52 -08:00
Jakob von Raumer
8bc4206c62
feat(hott): add custom recursors for cofiber type
2016-02-09 09:57:47 -08:00
Jakob von Raumer
31e2653e58
feat(hott): add lemma: cofiber of terminal morphism is suspension
2016-02-09 09:57:39 -08:00
Jakob von Raumer
7e02ea6cab
feat(hott): add smash product of pointed types
2016-02-09 09:57:33 -08:00
