Floris van Doorn
dd5dcb1dd1
feat(hott): prove something without using ua and update book.md
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
1135d80266
feat(hott): use group isomorphisms instead of equality between groups
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
b1ed69f621
feat(hott): small changes, mostly in pointed2
2016-04-11 09:45:59 -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
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
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
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
4e2cc66061
style(*): rename is_hprop/is_hset to is_prop/is_set
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
Ulrik Buchholtz
dcb35008e1
feat(hott/homotopy): general connectivity elimination and the wedge connectivity lemma
2016-02-04 11:07:22 -08:00
Sebastian Ullrich
2185ee7e95
feat(library/tactic): make let tactic transparent, introduce new opaque note tactic
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The new let tactic is semantically equivalent to let terms, while `note`
preserves its old opaque behavior.
2015-12-14 10:14:02 -08:00
Floris van Doorn
2325d23f68
feat(hott): port nat and int from the standard library
2015-12-09 12:36:11 -08:00
Floris van Doorn
45d808ce7f
feat(homotopy/circle): give all higher homotopy groups of the circle
2015-11-22 14:21:25 -08:00
Floris van Doorn
810a399699
style(homotopy/circle): clean-up encode-decode proof
2015-11-22 14:21:25 -08:00
Floris van Doorn
206bcd4b2a
feat(algebra/homotopy_group): define homotopy groups
2015-11-16 21:32:09 -08:00
Floris van Doorn
18ec5f8b85
feat(categories): prove introduction rule for equivalences
2015-11-08 14:04:58 -08:00
Ulrik Buchholtz
384a366e0f
refactor(hott): move homotopy hits to new homotopy folder
2015-09-24 22:52:33 -04:00
