Floris van Doorn
aac13a2ee7
fix(hott): minor changes to merge ulrik and my commits
2015-09-28 09:09:22 -07:00
Floris van Doorn
51edd0ad1d
feat(category.constructions.hset): prove that the category of sets is complete
2015-09-28 09:09:22 -07:00
Floris van Doorn
f82d1bd566
feat(category): add limits in a category
2015-09-28 09:09:22 -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
Ulrik Buchholtz
c6f3f6f3f4
feat(hott): prove HoTT book 7.5.4 and 7.5.5
2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
25ed9d6e5a
feat(hott): prove HoTT book Theorem 4.7.7
2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
ed1029641a
fix(hott/*): update book.md and clean up homotopy.connectedness
2015-09-28 09:09:21 -07:00
Ulrik Buchholtz
2c22501084
feat(hott): prove HoTT book Theorem 4.7.6
2015-09-28 09:09:21 -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
732897340d
fix(types): change some definitions to theorems
2015-09-11 23:35:21 -07:00
Floris van Doorn
fb364f8bc7
feat(types): add more equivalences between combinations of type constructors
2015-09-11 23:35:21 -07:00
Floris van Doorn
e84b22864f
feat(hott): various changes in the HoTT library
2015-09-11 23:35:21 -07:00
Floris van Doorn
bd3aa9cf54
feat(category): prove Theorem 9.5.9 from the HoTT book
2015-09-11 23:35:21 -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
f555120428
feat(types/eq): add general encode-decode method
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
c24fd508b6
feat(hott/types): add more about pathovers in type constructors, prove that double negation elimination doesn't hold universally
2015-09-01 15:17:46 -07:00
Floris van Doorn
cfddfdfa84
feat(hott/types): add characterization of lift, prove that Type.{u} is not an hset
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
e51ba09a27
feat(hott): add types.sum, greatly expand types.prod, minor changes in types.sigma and types.pi
2015-08-07 13:34:41 -07:00
Floris van Doorn
3d2a6a08a4
feat(hott/nat): add characterization of equality in nat
2015-08-07 13:34:41 -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
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
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
e969c7a8d6
refactor(library): remove 'simp' hack
2015-07-22 10:13:19 -07:00
Leonardo de Moura
38d5c361df
refactor(hott/types/trunc): remove unnecessary fold
...
The new unfold tactic performs the fold automatically for us.
see issue #692
2015-07-12 13:07:18 -04:00
Leonardo de Moura
a9515ac7a4
feat(library/tactic/rewrite_tactic): try to fold nested recursive applications after unfolding a recursive function
...
See issue #692 .
The implementation still has some rough spots.
It is not clear what the right semantic is.
Moreover, the folds in e_closure could not be eliminated automatically.
2015-07-08 21:19:18 -04:00
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
Leonardo de Moura
68785b8bed
fix(library/tactic/generalize_tactic): fixes #711
2015-06-26 19:35:30 -07:00
Leonardo de Moura
de90926eed
refactor(hott): adjust HoTT library to new support for projections
2015-06-26 17:18:30 -07:00
Floris van Doorn
69f91bfd86
fix(types/nat/hott): workaround failed inductions
2015-06-25 23:13:47 -04:00
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
c8eee66c5b
feat(hott/relation): add equivalence closure of a relation
2015-06-25 22:31:41 -04:00
Floris van Doorn
b94b66243e
feat(hott/types): add some theorems about operations of 2-paths
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
ac03bf7a4a
feat(hott/nat): prove computation rule for cases by inequality
2015-06-25 22:31:40 -04:00
Jeremy Avigad
a4a8253f50
refactor(library,hott,tests): rename succ_inj to succ.inj, add abbreviation eq_of_succ_eq_succ
2015-06-15 22:52:38 +10:00
Leonardo de Moura
4b91cfccff
feat(frontends/lean/builtin_exprs): make notation ( e : T )
builtin
...
In the previous approach, the following (definitionally equal) term was being generated
(fun (A : Type) (a : A), a) T e
2015-06-10 14:52:59 -07:00
Floris van Doorn
f995e5ea48
fix(cubical): remove unused basic file
2015-06-04 20:21:52 -04:00
Floris van Doorn
ff41886a32
feat(nat/bquant): give instances for quantification bounded with le
...
also add theorems c_iff_c to logic/connectives, where c is a connective
2015-06-04 20:14:13 -04:00
Floris van Doorn
06528c4791
refactor(types): create cubical subfolder, update markdown files
2015-06-04 20:14:13 -04:00
Floris van Doorn
33e948d9d1
feat(hit/sphere): Prove that maps from S^n to an (n-1)-type are constant
2015-06-04 20:14:13 -04:00
Floris van Doorn
876aa20ad6
feat(hott): Port remainder of §6.3 and §7.2 from the HoTT book
...
Also prove a theorem similar to Lemma 7.3.1
There are still some sorry's in hit.suspension
2015-06-04 20:14:12 -04:00
Floris van Doorn
883b4fedb9
feat(hott): start with proof to characterize (is_trunc n A) using iterated loop spaces
2015-06-04 20:14:12 -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