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Author SHA1 Message Date
Leonardo de Moura
05d1832425 refactor(kernel/type_checker): improve ensure_pi and ensure_sort APIs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-19 22:33:58 -07:00
Leonardo de Moura
77c5319c4a chore(*): remove Lua 'migrate' 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-18 07:01:34 -07:00
Leonardo de Moura
3ea24c0f32 fix(library/kernel_bindings): set_environment and set_io_state objects 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-17 22:36:47 -07:00
Leonardo de Moura
07f2379dec refactor(kernel): add mk_local function that has only two arguments 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-16 14:27:26 -07:00
Leonardo de Moura
5aca452439 feat(library/aliases): add 'exceptions' and support for universes to add_aliases procedure, add for_each_universe method to environment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-13 08:26:05 -07:00
Leonardo de Moura
a914345d29 feat(library): new scoping framework 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-12 19:33:02 -07:00
Leonardo de Moura
431b47377d feat(library/kernel_bindings): add 'set_env/set_environment' commands for updating the global environment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-11 11:03:12 -07:00
Leonardo de Moura
220f94d36e feat(library/kernel_bindings): expose instantiate_levels 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-04 16:26:26 -07:00
Leonardo de Moura
1c96373c1a feat(library/kernel_bindings): expose replace_fn in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-04 15:26:55 -07:00
Leonardo de Moura
4a25e7442a feat(kernel/expr): add optional expression caching (aka "partial" hash-consing) 
We do not enforce full hash-consing because we would need to synchronize
the access to the hashtable/cache.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-03 15:35:47 -07:00
Leonardo de Moura
076414693a feat(library/kernel_bindings): improve argument validation in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-03 10:17:12 -07:00
Leonardo de Moura
ab5f570924 refactor(kernel/constraint): remove choice constraints from the kernel, the kernel does not use them, we will implement them in elaborator 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-03 00:46:28 -07:00
Leonardo de Moura
045fa911d1 fix(library/kernel_bindings): missing kind in lean_kind 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-02 18:12:02 -07:00
Leonardo de Moura
33bbcd9526 chore(kernel/declaration): rename declaration::get_params to declaration::get_univ_params 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-02 16:20:34 -07:00
Leonardo de Moura
6e113206b6 feat(library/scope): add support for inductive datatypes in sections 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-02 10:28:07 -07:00
Leonardo de Moura
585f3adde1 feat(library/scope): add sections 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-06-01 17:55:11 -07:00
Leonardo de Moura
75abcea83f fix(library/kernel_bindings): Lua API consistency, environment:add method also register declaration in the export table 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-31 12:20:57 -07:00
Leonardo de Moura
7bd10c2d2d feat(library/module): export global universe level declarations 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-31 12:12:41 -07:00
Leonardo de Moura
13f9db26b7 refactor(library): add module namespace 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-29 13:58:47 -07:00
Leonardo de Moura
fc7d5461b1 feat(library/kernel_bindings): add to_io_state_ext helper function 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-29 13:35:11 -07:00
Leonardo de Moura
bfa9b90af0 feat(library/kernel_bindings): used 'named' parameters in import_modules API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-29 11:03:44 -07:00
Leonardo de Moura
ade5d99023 feat(library/modules): add option for discarding the proof of imported theorems (after checking them) 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-29 10:56:28 -07:00
Leonardo de Moura
75117bede8 fix(library/kernel_bindings): use standard environment in import_modules 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-26 15:54:08 -07:00
Leonardo de Moura
eca906b074 feat(library/module): add inductive decls to .olean files 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-26 15:38:09 -07:00
Leonardo de Moura
6536232107 feat(library/coercion): expose coercion module in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-25 06:05:31 -07:00
Leonardo de Moura
1cff37a084 feat(library/module): use io_state to report warning messages 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-24 14:08:15 -07:00
Leonardo de Moura
6bbb9d3667 feat(library/kernel_bindings): declarations added with the function add_decl are automatically registered in the to-export list 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-23 10:52:47 -07:00
Leonardo de Moura
a0a70bcea7 feat(library/kernel_bindings): expose import/export functions in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-23 09:35:32 -07:00
Leonardo de Moura
76177d7765 feat(library/kernel_bindings): improve type_checker:check Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-22 14:10:25 -07:00
Leonardo de Moura
9f4bae6856 feat(library/kernel_bindings): add hott_environment Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-21 11:49:30 -07:00
Leonardo de Moura
4d1fecb21d refactor(library/kernel_bindings): rename empty_environment ==> bare_environment in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-21 11:24:24 -07:00
Leonardo de Moura
f08a852da8 feat(library/kernel_bindings): expose environment::add(declaration) method in the Lua API, and add example to demonstrate its usage 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-21 11:12:55 -07:00
Leonardo de Moura
11fc917102 test(lua): add tests for improving kernel_bindings coverage 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 12:16:12 -07:00
Leonardo de Moura
8872d4a531 refactor(kernel): rename definition class to declaration 
The name was misleading since not every declaration is a definition.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 10:41:38 -07:00
Leonardo de Moura
00b1a84051 feat(library/kernel_bindings): expose environment::for_each method in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 10:16:19 -07:00
Leonardo de Moura
8a8c5a2b84 feat(library/kernel_bindings): add normalize, whnf, type_check, infer_type methods to environment object Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 09:40:50 -07:00
Leonardo de Moura
4103c85ce3 feat(library/kernel_bindings): improve Fun/Pi Lua APIs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-20 09:00:19 -07:00
Leonardo de Moura
bcb9965844 feat(library/kernel_bindings): improve Fun/Pi Lua APIs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 17:07:20 -07:00
Leonardo de Moura
a7aacaa782 feat(library/kernel_bindings): improve list_level support in the Lua interface 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 15:18:48 -07:00
Leonardo de Moura
f3ed20a229 feat(kernel/inductive): add normalizer extension for inductive datatypes, add procedure for creating an standard (empty) Lean environment 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-19 12:52:25 -07:00
Leonardo de Moura
f7bc5ac514 fix(library/kernel_bindings): style 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 13:44:51 -07:00
Leonardo de Moura
d0e7c88ea8 feat(library/kernel_bindings): improve universe level Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 13:40:35 -07:00
Leonardo de Moura
5ce134e24e chore(kernel): binder => binding where appropriate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 11:37:27 -07:00
Leonardo de Moura
36b070cb5b refactor(kernel/inductive): simplify inductive datatype API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 09:24:34 -07:00
Leonardo de Moura
4ec89e8561 feat(library/kernel_bindings): add sugar for level expressions in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-17 08:10:36 -07:00
Leonardo de Moura
5fc0f06a8d feat(library/kernel_bindings): add Lua API for declaring datatypes 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 18:08:50 -07:00
Leonardo de Moura
69e72c278d feat(kernel): add proof irrelevance for classes 
We can use this feature to implement proof irrelevance for Identity types.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 15:30:32 -07:00
Leonardo de Moura
193aa4a83f feat(library/kernel_bindings): improve Pi and Fun Lua APIs, and allow users to provide binder information 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 14:09:00 -07:00
Leonardo de Moura
862c5e354d feat(kernel/expr): attach auxiliary name (for pretty printing) into local constants 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 13:08:09 -07:00
Leonardo de Moura
40b3129e7b refactor(kernel): improve names 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 11:28:05 -07:00
Leonardo de Moura
d6d72ba80e refactor(kernel): add binder structure 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-16 10:51:54 -07:00
Leonardo de Moura
6f8f074f20 feat(library/kernel_bindings): make mk_arrow nary in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-15 13:53:10 -07:00
Leonardo de Moura
0edcea55de fix(library/kernel_bindings): clang++ compilation error 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 17:48:04 -07:00
Leonardo de Moura
6e78256b87 feat(library/kernel_bindings): expose is_bi_equal predicate in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 17:24:49 -07:00
Leonardo de Moura
2e1a0bd50c feat(kernel/expr): add is_contextual binder info 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 14:54:27 -07:00
Leonardo de Moura
956b775c48 feat(library/kernel_bindings): add let field accessors in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 14:17:30 -07:00
Leonardo de Moura
2bb537f3fb feat(library/kernel_bindings): add sugar for creating Let expressions from Lua 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 12:28:10 -07:00
Leonardo de Moura
f903626b78 feat(library/kernel_bindings): allow a list of level params/globals to be provided to declarations (instead of a list of names) 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-14 09:45:48 -07:00
Leonardo de Moura
9ed700a5a6 feat(kernel/environment): add forget method 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-13 08:40:46 -07:00
Leonardo de Moura
c883c638d6 feat(library/kernel_bindings): expose expression tags in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-12 16:50:43 -07:00
Leonardo de Moura
6f03064c46 fix(library/kernel_bindings): bug in mk_definition Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-12 12:56:50 -07:00
Leonardo de Moura
ff9004dae2 refactor(kernel): add level normalizer, is_equivalent predicate, switch to is_equivalent in the type checker, fix bugs in is_lt predicate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-11 18:05:02 -07:00
Leonardo de Moura
e942aecca6 refactor(kernel/type_checker): remove method is_conv 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-09 20:29:35 -07:00
Leonardo de Moura
9d96f24766 refactor(kernel): remove convertability constraints 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-09 20:25:27 -07:00
Leonardo de Moura
aaea298839 refactor(library/kernel_bindings): remove level pair and list of level pairs from Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-09 20:13:10 -07:00
Leonardo de Moura
7b6d555433 refactor(kernel): remove level constraints from definitions 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-09 20:11:50 -07:00
Leonardo de Moura
a650a4f9b5 fix(library/kernel_bindings): bug in mk_app, add expr_lt tests 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-09 19:54:52 -07:00
Leonardo de Moura
9676f48470 feat(library/kernel_bindings): add list of certified_definitions in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 18:51:34 -07:00
Leonardo de Moura
c843243f64 feat(library/kernel_bindings): add add_decl and type_check functions to Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 18:08:32 -07:00
Leonardo de Moura
95262fb68d feat(library/kernel_bindings): add remaining type_checker constructors in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 17:13:06 -07:00
Leonardo de Moura
3aa1afdf51 refactor(util): file name convention 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 14:15:28 -07:00
Leonardo de Moura
bf57f951ea refactor(util): move Lua named parameter support to a different file 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-08 13:20:37 -07:00
Leonardo de Moura
f3c7bc948a feat(library/kernel_bindings): type_checker Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 19:04:15 -07:00
Leonardo de Moura
62db010ba3 feat(library/kernel_bindings): add optional arguments to empty_environment Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 17:06:27 -07:00
Leonardo de Moura
4c5f88e63b feat(library/kernel_bindings): global level constructor/accessor/recognizer 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 16:22:45 -07:00
Leonardo de Moura
8ae0e46e9d feat(library/kernel_bindings): add new global level methods to environment Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-07 16:17:04 -07:00
Leonardo de Moura
8095783c36 refactor(library/kernel_bindings): use new functions for simulating python-like named arguments 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-05 14:42:16 -07:00
Leonardo de Moura
850ec69538 feat(kernel): add flag for disabling impredicativity of Prop/Bool in the kernel 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-05 14:09:17 -07:00
Leonardo de Moura
10d8840cac feat(library/kernel_bindings): add environment Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 17:53:32 -07:00
Leonardo de Moura
4f3fad5d65 feat(library/kernel_bindings): add certified_definition Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 17:46:59 -07:00
Leonardo de Moura
8f5491447a feat(library/kernel_bindings): add environment_id Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 17:42:27 -07:00
Leonardo de Moura
fc2d5f1595 feat(library/kernel_bindings): add definition Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 17:00:59 -07:00
Leonardo de Moura
b83410f042 fix(library/kernel_bindings): g++ compilation error 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 14:34:56 -07:00
Leonardo de Moura
dc627c9965 test(lua): add constraint API tests, and fix minor bugs 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 13:37:46 -07:00
Leonardo de Moura
6ef161824d feat(library/kernel_bindings): constraint Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 13:17:00 -07:00
Leonardo de Moura
802edd77d1 feat(kernel/justification): add is_eqp predicate 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 12:15:29 -07:00
Leonardo de Moura
94ca82ec85 fix(library/kernel_bindings): incorrect use of pushinteger, and improve justification Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-02 12:03:43 -07:00
Leonardo de Moura
a5229e5283 chore(util/lua): name convention 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-01 18:40:18 -07:00
Leonardo de Moura
7cd892464f feat(library/definition): macro definition and application Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-01 18:29:34 -07:00
Leonardo de Moura
9f5122b4c7 feat(library/kernel_bindings): justification Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-01 16:04:30 -07:00
Leonardo de Moura
340c0e0945 feat(library/kernel_bindings): substitution Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-01 15:30:30 -07:00
Leonardo de Moura
686c307976 feat(library/kernel_bindings): expr Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-01 12:25:49 -07:00
Leonardo de Moura
305815cb56 feat(library/kernel_bindings): expose expr_binder_info in the Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-05-01 11:23:37 -07:00
Leonardo de Moura
884b3f9b53 refactor(library/kernel_bindings): part of expr Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-30 16:37:26 -07:00
Leonardo de Moura
fd034521dc feat(library/kernel_bindings): cleanup level Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 17:05:25 -07:00
Leonardo de Moura
93a61748e9 fix(kernel/level): bug in optional<level>() constructor 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 17:00:57 -07:00
Leonardo de Moura
984048f40d feat(library/kernel_bindings): new level Lua API 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 15:08:58 -07:00
Leonardo de Moura
412a3797f4 refactor(*): add pushboolean inline function, and replace lua_pushboolean with it 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 14:37:16 -07:00
Leonardo de Moura
f7e705badb refactor(library/kernel_bindings): reactive some of the kernel Lua bindings 
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-04-29 11:52:09 -07:00
Leonardo de Moura
6d7ec9d7b6 refactor(kernel): add heterogeneous equality back to expr 
The main motivation is that we will be able to move equalities between universes.

For example, suppose we have
    A : (Type i)
    B : (Type i)
    H : @eq (Type j) A B
where j > i

We didn't find any trick for deducing (@eq (Type i) A B) from H.
Before this commit, heterogeneous equality as a constant with type

   heq : {A B : (Type U)} : A -> B -> Bool

So, from H, we would only be able to deduce

   (@heq (Type j) (Type j) A B)

Not being able to move the equality back to a smaller universe is
problematic in several cases. I list some instances in the end of the commit message.

With this commit, Heterogeneous equality is a special kind of expression.
It is not a constant anymore. From H, we can deduce

   H1 : A == B

That is, we are essentially "erasing" the universes when we move to heterogeneous equality.
Now, since A and B have (Type i), we can deduce (@eq (Type i) A B) from H1. The proof term is

  (to_eq (Type i) A B (to_heq (Type j) A B H))  :  (@eq (Type i) A B)

So, it remains to explain why we need this feature.

For example, suppose we want to state the Pi extensionality axiom.

axiom hpiext {A A' : (Type U)} {B : A → (Type U)} {B' : A' → (Type U)} :
      A = A' → (∀ x x', x == x' → B x == B' x') → (∀ x, B x) == (∀ x, B' x)

This axiom produces an "inflated" equality at (Type U) when we treat heterogeneous
equality as a constant. The conclusion

     (∀ x, B x) == (∀ x, B' x)

is syntax sugar for

   (@heq (Type U) (Type U) (∀ x : A, B x) (∀ x : A', B' x))

Even if A, A', B, B' live in a much smaller universe.

As I described above, it doesn't seem to be a way to move this equality back to a smaller universe.

So, if we wanted to keep the heterogeneous equality as a constant, it seems we would
have to support axiom schemas. That is, hpiext would be parametrized by the universes where
A, A', B and B'. Another possibility would be to have universe polymorphism like Agda.
None of the solutions seem attractive.

So, we decided to have heterogeneous equality as a special kind of expression.
And use the trick above to move equalities back to the right universe.

BTW, the parser is not creating the new heterogeneous equalities yet.
Moreover, kernel.lean still contains a constant name heq2 that is the heterogeneous
equality as a constant.

Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
 2014-02-07 10:28:10 -08:00