Floris van Doorn
f983724cf6
feat(pointed): merge pointed2 into pointed
...
We move the basic notions of pointed types into init.pointed, to avoid cycles in the import graph. Also adds pointed versions of pi and sigma, with corresponding notation
2016-04-11 09:45:59 -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
b1ed69f621
feat(hott): small changes, mostly in pointed2
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
671ef077b9
feat(hott): additions, mostly to types.trunc
2016-03-06 13:03:31 -05:00
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
e515875464
feat(hott): various additions
2016-03-03 10:13:20 -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
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
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
Floris van Doorn
816237315c
feat(hott): various additions, especially for pointed maps/homotopies/equivalences
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
Jakob von Raumer
664132b845
feat(hott): add calc lemmas for pointed equivalences, make pinl and pinr constructors
2016-01-24 16:30:16 -08:00
Jakob von Raumer
8d22e454e7
feat(hott): add theory about pointed pushouts
2016-01-24 16:30:12 -08:00
Ulrik Buchholtz
b09fdc8c61
feat(hott/hit): flattening lemmas for coeq and pushout
2015-12-28 09:06:13 -08:00
Ulrik Buchholtz
f3b2c7010f
feat(hott): functoriality of quotients
2015-12-28 09:06:13 -08:00
Floris van Doorn
c852f7bc71
feat(hott): use the induction tactic for trunc at some places
2015-12-17 12:46:16 -08:00
Floris van Doorn
da5f10ce63
feat(hott): minor fixes. allow the usage of numerals for trunc_index
2015-12-17 12:46:16 -08:00
Floris van Doorn
c44ad80e4e
feat(homotopy/torus): give recursion and induction principle for the torus
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also change the surface of the torus to a square instead of an equality between paths
2015-11-22 18:29:37 -08:00
Floris van Doorn
fe8a858d79
feat(hott): add recursor to refl_quotient
2015-11-22 18:29:37 -08:00
Floris van Doorn
ae92e8c94d
feat(hit/two_quotient): give dependent eliminator for two_quotients
2015-11-22 18:29:37 -08:00
Floris van Doorn
482c68b387
feat(*/list): add some computation rules for lists in both libraries
2015-11-22 14:21:26 -08:00
Floris van Doorn
88a62f8e74
feat(algebra|types): small additions
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add to markdown file for algebra, and add some definitions in types/
2015-11-22 14:21:25 -08:00
Floris van Doorn
5328486d49
feat(hit): add elimination rule to propositions
2015-11-22 14:21:25 -08:00
Floris van Doorn
5b8486a34f
feat(set_quotient): add some properties for set_quotients
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
ede23a3267
feat(hott,library): add additional spacing hints
2015-09-30 17:41:44 -07:00
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
4a6ff8058d
fix(hott): import commands (some files have been moved to different directories)
2015-09-25 09:39:45 -07:00
Ulrik Buchholtz
384a366e0f
refactor(hott): move homotopy hits to new homotopy folder
2015-09-24 22:52:33 -04:00
Floris van Doorn
e84b22864f
feat(hott): various changes in the HoTT library
2015-09-11 23:35:21 -07:00
Floris van Doorn
fd89aa77a3
feat(hott): prove Yoneda lemma
2015-09-11 23:35:21 -07:00
Floris van Doorn
a8964adb9c
fix(hott): make sure there are no sorry's visible
2015-09-01 15:17:46 -07:00
Floris van Doorn
f4892db432
feat(types.trunc): prove the principle of unique choice
2015-09-01 15:17:46 -07:00
Floris van Doorn
ad5cda48a8
refactor(hott): move cubical folder and files eq2, function and hprop_trunc from types/ to the root HoTT directory
2015-08-07 13:34:41 -07:00
Floris van Doorn
d111607890
feat(hott): add file which maps sections of the HoTT book to the HoTT library
2015-08-07 13:34:41 -07:00
Floris van Doorn
0ec525a8ee
feat(two_quotient): finish proof of elim_incl2
2015-08-07 13:34:40 -07:00
Floris van Doorn
e198be318f
feat(circle): show that x = x in the circle is always Z
2015-08-04 13:01:11 +02:00
Floris van Doorn
7a780b1b60
feat(hott): various minor changes in the HoTT library
2015-08-04 13:01:11 +02:00
Leonardo de Moura
b3cd3efbb4
refactor(hott): fix "sorry"s at int/basic.hlean, and comment the remaining "sorry"s
2015-07-27 08:34:11 -07:00
Leonardo de Moura
584f9e3f49
fix(library/tactic/unfold_rec): support indexed families at unfold_rec
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This commit also removes many (now unnecessary) folds from the HoTT
library.
See issue #692
We still have to implement support for recursive definitions based on
brec_on that recurse over inductive families.
2015-07-12 12:32:58 -04:00
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
24762fe843
feat(hit): add hits with 2-path constructors
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In hit.two_quotient we define a general construction to define hits with 2-dimensional path constructors, similar to quotients.
We can add 2-paths between any two 'words', where a word consists of 1-path constructors, concatenation and inverses.
We use this to define the torus, reflexive quotients and the reduced suspension.
There is still one 'sorry' in the construction
2015-06-25 22:31:41 -04:00
Floris van Doorn
ea0f57aef5
feat(hott): various clean-up and small additions
2015-06-25 22:31:40 -04:00
Floris van Doorn
2748525c21
feat(hit/susp): finish the proof that loop space is adjoint to the suspension
2015-06-25 22:31:40 -04:00
Floris van Doorn
124c9d3d8a
feat(hott): various cleanup and fixes, rename \~ to ~, expand types.pointed
2015-06-25 22:31:40 -04:00
