Floris van Doorn
3d0d0947d6
various cleanup changes in library
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some of the changes are backported from the hott3 library
pi_pathover and pi_pathover' are interchanged (same for variants and for sigma)
various definitions received explicit arguments: pinverse and eq_equiv_homotopy and ***.sigma_char
eq_of_fn_eq_fn is renamed to inj
in definitions about higher loop spaces and homotopy groups, the natural number arguments are now consistently before the type arguments
2018-09-10 17:59:11 +02:00
Floris van Doorn
afdcf7cb71
backport some changes from lean 3
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ap_compose' is reversed, and is_trunc_equiv_closed and variants don't have a type class argument anymore
2018-09-10 17:05:29 +02:00
Floris van Doorn
9342fe2716
feat(hott) move many lemmas to library, and cleanup various parts
2016-12-02 16:55:23 -08:00
Floris van Doorn
17ccc283a9
feat(hott): move basic theorems from colimit development to library.
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Most notable changes:
rename apo011 -> apd011 and apd011 -> apdt011
make an argument of pathover_of_eq explicit
2016-07-09 10:20:22 -07:00
Floris van Doorn
ae1b2e854c
feat(hott): various minor changes
2016-07-09 10:20:21 -07:00
Floris van Doorn
e96e4a677d
feat(homotopy): prove the naive Seifert-Van Kampen theorem
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Also define the pushout of categories and the pushout of groupoids
2016-07-09 10:20:21 -07:00
Floris van Doorn
8db4676c46
feat(hott): various changes and additions in the HoTT library
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Add more theorems about mapping cylinders, fibers, truncated 2-quotient, truncated univalence, pre/postcomposition with an iso in a precategory.
renamings: equiv.refl -> equiv.rfl and equiv_eq <-> equiv_eq'
2016-05-06 14:27:27 -07:00
Floris van Doorn
dc37ec954d
refactor(hott): rename apdo to apd
2016-04-11 09:45:59 -07:00
Floris van Doorn
05b59aecf8
refactor(hott): rename apd to apdt
2016-04-11 09:45:59 -07:00
Floris van Doorn
5cacebcf86
feat(hott): replace assert by have and merge namespace equiv.ops into equiv
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The coercion A ≃ B -> (A -> B) is now in namespace equiv. The notation ⁻¹ for symmetry of equivalences is not supported anymore. Use ⁻¹ᵉ
2016-03-03 10:13:21 -08:00
Floris van Doorn
087c44d614
style(hott): rename instances of pType using pfoo instead of Foo
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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
43cf2ad23d
style(hott): replace all other occurrences of hprop/hset
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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
5328486d49
feat(hit): add elimination rule to propositions
2015-11-22 14:21:25 -08:00
Floris van Doorn
a99a99f047
feat(hit/quotient): prove the flattening lemma
2015-11-08 14:04:59 -08:00
Leonardo de Moura
4b1b3e277f
feat(frontends/lean): rename '[unfold-c]' to '[unfold]' and '[unfold-f]' to '[unfold-full]'
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see issue #693
2015-07-07 16:37:06 -07:00
Floris van Doorn
ff01774fd7
renaming(hit): rename type_quotient to quotient, and quotient to set_quotient
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This renaming is because type_quotient is a nonstandard name. I've had a discussion with Egbert
Rijke, Steve Awodey and Dan Licata, and the consensus for a better name was 'quotient'. I had to
make changes in src/kernel/hits/hits.cpp, I renamed g_type_quotient* by g_hit_quotient* (to avoid
name clash the standard library quotient, although I don't know whether that name clash would
matter).
2015-06-04 20:14:13 -04:00
Floris van Doorn
96a4a015d9
fix(hit): make the nondependent eliminator standard for hits
2015-05-26 21:37:02 -07:00
Floris van Doorn
0b12d51b25
feat(hott): use pathovers in all the recursors of hits
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move pathover file to the init folder
2015-05-26 21:37:01 -07:00
Floris van Doorn
40d5f83851
feat(hit): start using induction tactic
2015-05-26 21:37:01 -07:00
Floris van Doorn
50290fb81c
feat(hott): add recursor attribute to hits
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recursor attribute is added to both the dependent and nondependent elimination, is such a way that the dependent elimination is used by default
2015-05-26 21:37:01 -07:00
Jeremy Avigad
33214f0895
refactor(hott/*): remove 'Module:' lines
2015-05-23 20:52:58 +10:00
Floris van Doorn
111c8e1529
feat(hott): add [unfold-c] and [constructor] attributes for HITs
2015-05-07 16:39:04 -07:00
Floris van Doorn
90f1a691fd
feat(hott): change notation of transport to correspond with standard library
2015-05-07 16:39:03 -07:00
Leonardo de Moura
4e1146a2d5
refactor(hott,library): test new tactics in the HoTT and standard libraries
2015-05-02 22:22:31 -07:00
Leonardo de Moura
3912bc24c8
feat(frontends/lean): nicer syntax for 'intros' 'reverts' and 'clears'
2015-04-30 11:00:39 -07:00
Floris van Doorn
6c061991cc
feat(hit): prove path computation rules for all hits except the circle
2015-04-29 10:04:07 -07:00
Floris van Doorn
70a2f6534c
feat(hit): derive path computation rule for elim and elim_type for every hit
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also make argument of eq_of_rel implicit
also remove most sorry's for hits
path computation rule for rec still needs to be done for all hits
2015-04-29 10:04:07 -07:00
Floris van Doorn
e769fdd9dc
feat(hott): make some arguments in init.path implicit and rename apD to apd
2015-04-29 10:04:06 -07:00
Leonardo de Moura
9d01868361
feat(frontends/lean): use rewrite tactic to implement unfold (it has a unfold step)
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closes #502
2015-04-24 17:23:12 -07:00
Leonardo de Moura
8241863abe
feat(kernel/hits): add two builtin HITs: type_quotient and trunc
2015-04-23 15:32:31 -07:00
Floris van Doorn
591a563be3
feat(hit): For all hits, add the elimination to the universe (using ua)
2015-04-23 14:29:04 -07:00
Floris van Doorn
f41d92199a
feat(hit): make type quotient primitive instead of colimit
2015-04-23 14:29:04 -07:00
Floris van Doorn
1d9c17342a
feat(hit): define mapping cylinder, coequalizer and quotient in terms of colimit
2015-04-23 14:29:04 -07:00
