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feat(library/blast/grinder/intro_elim_lemmas): add intro/elim lemmas validation

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This commit is contained in:
Leonardo de Moura 2015-12-07 17:45:57 -08:00
parent 295b1d21f5
commit 48bc18d492
2 changed files with 26 additions and 4 deletions
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2
library/init/logic.lean
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@ -283,7 +283,7 @@ attribute iff.intro [intro]
theorem iff.elim : ((a → b) → (b → a) → c) → (a ↔ b) → c := and.rec
attribute iff.elim [elim]
attribute iff.elim [recursor 5] [elim]
theorem iff.elim_left : (a ↔ b) → a → b := and.left

28
src/library/blast/grinder/intro_elim_lemmas.cpp
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@ -5,11 +5,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
*/
#include <string>
#include "util/sstream.h"
#include "util/priority_queue.h"
#include "kernel/instantiate.h"
#include "library/scoped_ext.h"
#include "library/user_recursors.h"
#include "library/type_context.h"
#include "library/tmp_type_context.h"
namespace lean {
static name * g_class_name = nullptr;
@ -61,12 +62,33 @@ struct intro_elim_config {
typedef scoped_ext<intro_elim_config> intro_elim_ext;
environment add_elim_lemma(environment const & env, io_state const & ios, name const & c, unsigned prio, name const & ns, bool persistent) {
// TODO(Leo): VALIDATE
get_recursor_info(env, c);
return intro_elim_ext::add_entry(env, ios, intro_elim_entry(true, prio, c), ns, persistent);
}
optional<name> get_intro_target(tmp_type_context & ctx, name const & c) {
declaration const & d = ctx.env().get(c);
buffer<level> us;
unsigned num_us = d.get_num_univ_params();
for (unsigned i = 0; i < num_us; i++)
us.push_back(ctx.mk_uvar());
// TODO(Leo): should we use relaxed_try_to_pi?
expr type = ctx.try_to_pi(instantiate_type_univ_params(d, to_list(us)));
while (is_pi(type)) {
expr local = ctx.mk_tmp_local(binding_domain(type));
type = ctx.try_to_pi(instantiate(binding_body(type), local));
}
expr const & fn = get_app_fn(type);
if (is_constant(fn))
return optional<name>(const_name(fn));
else
return optional<name>();
}
environment add_intro_lemma(environment const & env, io_state const & ios, name const & c, unsigned prio, name const & ns, bool persistent) {
// TODO(Leo): VALIDATE
tmp_type_context ctx(env, ios);
if (!get_intro_target(ctx, c))
throw exception(sstream() << "invalid [intro] attribute for '" << c << "', head symbol of resulting type must be a constant");
return intro_elim_ext::add_entry(env, ios, intro_elim_entry(false, prio, c), ns, persistent);
}