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Author SHA1 Message Date
Floris van Doorn
52dd6cf90b feat(hott): Port files from other repositories to the HoTT library. 
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 
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
3887efa7c1 feat(hott): some renamings in init.path 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
671ef077b9 feat(hott): additions, mostly to types.trunc 2016-03-06 13:03:31 -05:00
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. 
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
ecc141779a feat(init.path): update init.path to use tactics, also some additions 
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
Floris van Doorn
7f09ba328e feat(hott): small changes 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
Floris van Doorn
c44ad80e4e feat(homotopy/torus): give recursion and induction principle for the torus 
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
de1c47eda9 feat(categories): add exponential laws for categories 
also give nicer rules to construct equalities between (pre)categories
 2015-11-08 14:04:59 -08:00
Leonardo de Moura
744d1cba3d feat(library,hott,frontends/lean): avoid keywords with hyphen 2015-11-08 14:04:54 -08:00
Floris van Doorn
115dedbd1c fix(hott): notation spacing and markdown files 2015-10-02 16:26:10 -07:00
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
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
7e52c49dce feat(hott): many changes is the HoTT library 
Prove that 'is_left_adjoint F' is a mere proposition, although this proof is commented out because it takes ~10 seconds
 2015-09-01 15:17:46 -07:00
Floris van Doorn
189293b5d4 fix(init.path): rename transport_compose to tr_compose 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
f3ba81a19d fix(init.path): a couple of small simplifications 2015-08-07 13:34:40 -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
747d12a385 feat(hott): prove characterization of a pathover in a pathover-type 2015-08-04 13:01:12 +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
4b1b3e277f feat(frontends/lean): rename '[unfold-c]' to '[unfold]' and '[unfold-f]' to '[unfold-full]' 
see issue #693
 2015-07-07 16:37:06 -07:00
Floris van Doorn
df3ce2b00b feat(types/eq2): add theorem about eq_of_con_inv_eq_idp 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
Floris van Doorn
4117455e97 feat(hott): redefine nat.le and nat.lt 
also some minor modifications in other files
 2015-06-04 20:14:12 -04:00
Floris van Doorn
d4a991ef84 feat(hott): define cubes and cubeovers 2015-06-04 20:13:53 -04:00
Jeremy Avigad
33214f0895 refactor(hott/*): remove 'Module:' lines 2015-05-23 20:52:58 +10:00
Floris van Doorn
1597337c72 feat(path): add unfold-c attribute to definitions 2015-05-18 15:59:55 -07:00
Floris van Doorn
9893de6194 feat(hit/circle): prove partly that the fundamental group of the circle is int 
Also add markdown files for nat and int
 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
b03266be70 feat(library/normalize,frontends/lean): rename '[unfold-m]' hint to '[constructor]', and allow it to be attached to constants 
closes #587
 2015-05-07 12:00:34 -07:00
Leonardo de Moura
741fca1e7b feat(hott/init/path): mark 'idp' and 'idpath' with '[unfold-m]' hint 
closes #496
 2015-05-04 14:29:22 -07:00
Leonardo de Moura
cd17618f4a refactor(library): replace 'calc_trans', 'calc_symm', 'calc_refl' and 'calc_subst' commands with attributes '[symm]', '[refl]', '[trans]' and '[subst]' 
These attributes are used by the calc command.
They will also be used by tactics such as 'reflexivity', 'symmetry' and
'transitivity'.

See issue #500
 2015-05-02 15:15:35 -07:00
Floris van Doorn
15c2ee289f feat(hott): make some fibrations in path.hlean implicit, and a bit of renaming in init 2015-04-29 10:04:07 -07:00
Floris van Doorn
5349839fa9 feat(hott): define pathovers and squares 2015-04-29 10:04:07 -07:00
Floris van Doorn
c23e707874 feat(circle): define circle as sphere 1, remove all but 1 sorry 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 
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
dcc94dde82 refactor(kernel): rename may_reduce_later to is_stuck, and make is_stuck more precise 
It now reflects the definition used in the elaboration paper.
 2015-04-27 11:20:15 -07:00
Floris van Doorn
ee4cba4e0b style(hott): a bit of cleanup 2015-04-22 13:06:11 -07:00
Floris van Doorn
17f3ac6ec2 fix(hott): fix binding power of 2 notations 2015-04-22 13:06:11 -07:00
Floris van Doorn
d1b98b6919 fix(reserved_notation): make is_typeof an abbreviation 2015-04-10 06:35:15 -07:00
Leonardo de Moura
5bf46d1226 fix(library/tactic/inversion_tactic): improve 'cases' tactic for HoTT mode 
closes #481
 2015-03-23 18:06:11 -07:00
Floris van Doorn
ebba33057c feat(hott): add arity.hlean, about multivariate functions 2015-03-16 17:15:51 -07:00
Floris van Doorn
71f9a5d1d2 feat(hott/algebra/precategory): do lots of stuff with categories 2015-03-16 17:15:51 -07:00