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193 commits

Author SHA1 Message Date
Floris van Doorn
e84b22864f feat(hott): various changes in the HoTT library 2015-09-11 23:35:21 -07:00
Floris van Doorn
1a3b363467 feat(category): prove that the yoneda embedding is an embedding 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
817d691237 fix(hott/init/nat): also define ℕ in the top-level in HoTT 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
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
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
Leonardo de Moura
582dbecfd0 feat(library,hott): add notation T1 : T2 as syntax sugar for (focus (T1; all_goals T2)) 
closes #775
 2015-08-08 10:16:25 -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
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
11b1f416f6 feat(nat): add unfold attributes to add, mul, sub and of_num in namespace nat_esimp in both libraries 2015-08-04 13:23:20 +02:00
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
267545ca0c feat(frontends/lean): parse 'with_options' tactical 
see issue #492
 2015-07-13 19:13:41 -04:00
Leonardo de Moura
6ab5cf214c feat(library,hott): add simp tactic reference 2015-07-13 18:01:40 -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
de90926eed refactor(hott): adjust HoTT library to new support for projections 2015-06-26 17:18:30 -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
ac03bf7a4a feat(hott/nat): prove computation rule for cases by inequality 2015-06-25 22:31:40 -04:00
Floris van Doorn
0b9c8e14a4 fix(*/init/nat): fix occurrences where both theorem and [unfold-c] were used 2015-06-25 22:31:40 -04:00
Floris van Doorn
fa1979c128 feat(datatypes): let the type of unit be the lowest non-Prop universe 
The definitional package (brec_on and cases_on) now use poly_unit instead of unit

closes #698
 2015-06-25 17:33:46 -07:00
Leonardo de Moura
a4c0699e81 feat(library/tactic/constructor_tactic): restore 'constructor' tactic old semantics, add 'fconstructor' tactic 
See issue #676

Add new test demonstrating why it is useful to have the old semantics
for 'constructor'
 2015-06-17 23:48:54 -07:00
Jeremy Avigad
6b36076ab5 feat({library,hott}/init/nat): add sub_le_succ 2015-06-15 22:53:11 +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
7f5caab694 feat(nat): redefine le and lt in the standard library 2015-06-04 20:14:13 -04:00
Floris van Doorn
ff01774fd7 renaming(hit): rename type_quotient to quotient, and quotient to set_quotient 
This renaming is because type_quotient is a nonstandard name.  I've had a discussion with Egbert
Rijke, Steve Awodey and Dan Licata, and the consensus for a better name was 'quotient'.  I had to
make changes in src/kernel/hits/hits.cpp, I renamed g_type_quotient* by g_hit_quotient* (to avoid
name clash the standard library quotient, although I don't know whether that name clash would
matter).
 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
Leonardo de Moura
ca110012d8 feat(library/tactic): automate "generalize-intro-induction/cases" idiom 
closes #645
 2015-05-30 21:57:28 -07:00
Leonardo de Moura
6f6848968d feat(frontends/lean/coercion_elaborator): "coercion lifting" for backtracking case 
closes #252
 2015-05-30 16:44:26 -07:00
Leonardo de Moura
00232e70d6 feat(hott,library): auxiliary theorems for simplifier 2015-05-27 16:35:56 -07:00
Leonardo de Moura
85409a59d3 feat(library/tactic/rewrite_tactic): add xrewrite and krewrite tactic variants 
closes #511
 2015-05-27 16:32:43 -07:00
Leonardo de Moura
dc6411b903 feat(library/inductive_unifier_plugin): restrict rule that was generating non-terminating behavior 
see issue #632
 2015-05-27 14:41:12 -07:00
Floris van Doorn
43bcdd7994 feat(hott): remove sorry's in circle.hlean, characterize pathovers in degenerate pi's 2015-05-26 21:37:01 -07:00
Floris van Doorn
c64d73aae4 feat(types.nat): prove that inequalities on nat are mere propositions 
Also some small changes in various other locations
 2015-05-26 21:37:01 -07:00
Floris van Doorn
4a29f4bdd4 feat(types): incorporate pathovers in the files of the types folder 
Conflicts:
	hott/cubical/pathover.hlean
 2015-05-26 21:37:01 -07:00
Floris van Doorn
0b12d51b25 feat(hott): use pathovers in all the recursors of hits 
move pathover file to the init folder
 2015-05-26 21:37:01 -07:00
Floris van Doorn
54ed8a8e76 feat(hott): small changes in init and category 2015-05-26 21:37:01 -07:00
Floris van Doorn
50290fb81c feat(hott): add recursor attribute to hits 
recursor attribute is added to both the dependent and nondependent elimination, is such a way that the dependent elimination is used by default
 2015-05-26 21:37:01 -07:00