2014-09-29 23:40:17 +00:00
|
|
|
-- BEGINWAIT
|
|
|
|
|
-- ENDWAIT
|
|
|
|
|
-- BEGINFINDP STALE
|
|
|
|
|
false|Prop
|
2014-10-28 17:31:00 +00:00
|
|
|
false.rec|Π (C : Type), false → C
|
2014-09-29 23:40:17 +00:00
|
|
|
false_elim|false → ?c
|
2014-12-01 05:16:01 +00:00
|
|
|
false.of_ne|?a ≠ ?a → false
|
2014-10-28 17:31:00 +00:00
|
|
|
false.rec_on|Π (C : Type), false → C
|
2014-11-30 02:29:48 +00:00
|
|
|
false.cases_on|Π (C : Type), false → C
|
2014-12-01 05:16:01 +00:00
|
|
|
false.decidable|decidable false
|
2014-10-25 20:36:38 +00:00
|
|
|
false.induction_on|∀ (C : Prop), false → C
|
2014-10-19 15:40:56 +00:00
|
|
|
true_ne_false|¬ true = false
|
2014-12-01 05:16:01 +00:00
|
|
|
eq.false_elim|?p = false → ¬ ?p
|
2014-10-19 15:40:56 +00:00
|
|
|
p_ne_false|?p → ?p ≠ false
|
2014-12-01 05:16:01 +00:00
|
|
|
decidable.rec_on_false|Π (H3 : ¬ ?p), ?H2 H3 → decidable.rec_on ?H ?H1 ?H2
|
|
|
|
|
not_false|¬ false
|
|
|
|
|
if_false|∀ (t e : ?A), (if false then t else e) = e
|
|
|
|
|
iff.false_elim|?a ↔ false → ¬ ?a
|
2014-09-29 23:40:17 +00:00
|
|
|
-- ENDFINDP
|
