Floris van Doorn
55bdf2764b
feat(homotopy/red_susp): prove that reduced suspension is equivalent to suspension, and some small things
2017-01-18 22:24:59 +01:00
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
52dd6cf90b
feat(hott): Port files from other repositories to the HoTT library.
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This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT.
2016-05-06 14:27:27 -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
a6b5191be6
feat(pushout/susp): change definition of elim_type, so that flattening is easier to prove
2016-05-06 14:26:46 -07:00
Floris van Doorn
dc37ec954d
refactor(hott): rename apdo to apd
2016-04-11 09:45:59 -07:00
Ulrik Buchholtz
bb64913e50
feat(hott): flattening lemma for susp
2016-03-23 09:22:55 -07:00
Ulrik Buchholtz
bd9e47c82c
feat(hott): functoriality of pushout; connectedness in is_conn namespace
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other changes:
- move result about connectedness of susp to homotopy.susp
- improved definition of circle multiplication
- improved the interface to join
2016-03-23 09:22:55 -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
Leonardo de Moura
cc8d9bc7ff
refactor(hott): replace 'assert'-expr with 'have'-expr
2016-02-29 12:11:17 -08:00
Floris van Doorn
bac6d99cc7
style(hott): rename Pointed to pType
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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
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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
Jakob von Raumer
aa5e188179
feat(hott): add symmetry of pushouts and pointed pushouts
2016-01-24 16:30:26 -08:00
Ulrik Buchholtz
b09fdc8c61
feat(hott/hit): flattening lemmas for coeq and pushout
2015-12-28 09:06:13 -08:00
Floris van Doorn
5328486d49
feat(hit): add elimination rule to propositions
2015-11-22 14:21:25 -08:00
Floris van Doorn
3c4c722afd
feat(hott): port more from chapters 4 and 6 of the book
2015-09-28 09:09:21 -07:00
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
95e0fbb71a
feat(hott): add interval and (start of) squareovers
2015-05-26 21:37:01 -07:00
Floris van Doorn
d7c1a8f2e0
feat(hott): small fixes in hit and cubical.square
2015-05-26 21:37:01 -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
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
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
Floris van Doorn
51e87213d0
feat(hit): define nondependent recursors for all hits, sequential colimit, and elaborate on spheres
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squash
2015-04-23 14:29:04 -07:00
Floris van Doorn
ffe158f785
feat(hit.suspension): add definition of spheres and the circle
2015-04-23 14:29:04 -07:00
Floris van Doorn
2469b8a2f8
feat(hott): add primitive hits
2015-04-23 14:29:04 -07:00
