Floris van Doorn
2cc8914874
feat(homotopy): add results about infty-connectedness and loops of EM-spaces
2016-07-09 10:20:22 -07:00
Floris van Doorn
3213b1b3b0
feat(EM): Prove some corollaries of Whitehead's principle, and prove that K(G,1) is unique.
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Also reorder the arguments of is_equiv_compose
2016-07-09 10:20:22 -07:00
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
9f13527c25
chore(hott): update default files and some markdown files
2016-07-09 10:20:21 -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
Jakob von Raumer
651df51cb7
chore(hott) the coercion doesn't seem to be the problem
2016-04-11 09:45:59 -07:00
Jakob von Raumer
7a9e1c7f4f
chore(hott) fix sum proof by adding manual coercions
2016-04-11 09:45:59 -07:00
Floris van Doorn
a6319118e3
feat(types.pointed): small additions
2016-04-11 09:45:59 -07:00
Floris van Doorn
f983724cf6
feat(pointed): merge pointed2 into pointed
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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
4895726c54
feat(connectedness): show that if f is n-connected, then trunc_functor k f is so, too
2016-04-11 09:45:59 -07:00
Floris van Doorn
54da5bcbda
feat(hott): add some [constructor] attributes
2016-04-11 09:45:59 -07:00
Floris van Doorn
3887efa7c1
feat(hott): some renamings in init.path
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
Leonardo de Moura
226f8bafeb
fix(library/tactic/rewrite_tactic): do not allow projections to be unfolded
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fixes #1032
This is just a workaround. A better fix has been implemented in the
lean3 branch.
2016-03-28 13:02:57 -07:00
Ulrik Buchholtz
1c52062f1e
chore(hott): standardize names of homotopy_of_inv_homotopy_post and friends
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
Leonardo de Moura
5e14b4ebe8
fix(library,hott): avoid rewrite with patterns of the form (?M ...)
2016-03-09 15:39:17 -08:00
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
058000f61d
feat(homotopy/homotopy_group): add theorems in section 8.3 of the HoTT book
2016-03-03 10:13:21 -08:00
Floris van Doorn
1903601ba5
refactor(trunc): rename namespace is_trunc.trunc_index to trunc_index
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.
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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
Leonardo de Moura
cc8d9bc7ff
refactor(hott): replace 'assert'-expr with 'have'-expr
2016-02-29 12:11:17 -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
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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
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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
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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
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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
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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
Floris van Doorn
ecc141779a
feat(init.path): update init.path to use tactics, also some additions
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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
