2014-09-29 23:40:17 +00:00
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-- BEGINWAIT
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-- ENDWAIT
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-- BEGINFINDP STALE
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false|Prop
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2014-10-28 17:31:00 +00:00
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false.rec|Π (C : Type), false → C
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2014-12-01 05:16:01 +00:00
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false.of_ne|?a ≠ ?a → false
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2014-10-28 17:31:00 +00:00
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false.rec_on|Π (C : Type), false → C
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2014-11-30 02:29:48 +00:00
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false.cases_on|Π (C : Type), false → C
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2014-12-01 05:16:01 +00:00
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false.decidable|decidable false
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2014-10-25 20:36:38 +00:00
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false.induction_on|∀ (C : Prop), false → C
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2014-10-19 15:40:56 +00:00
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true_ne_false|¬ true = false
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2014-12-01 05:16:01 +00:00
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eq.false_elim|?p = false → ¬ ?p
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2014-12-12 03:53:41 +00:00
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not_of_is_false|is_false ?c → ¬ ?c
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2014-10-19 15:40:56 +00:00
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p_ne_false|?p → ?p ≠ false
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2014-12-12 03:53:41 +00:00
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is_false|Π (c : Prop) [H : decidable c], Prop
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2014-12-01 05:16:01 +00:00
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decidable.rec_on_false|Π (H3 : ¬ ?p), ?H2 H3 → decidable.rec_on ?H ?H1 ?H2
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not_false|¬ false
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2014-12-12 03:53:41 +00:00
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of_not_is_false|¬ is_false ?c → ?c
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2014-12-04 19:13:09 +00:00
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if_false|∀ (t e : ?A), ite false t e = e
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2014-12-01 05:16:01 +00:00
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iff.false_elim|?a ↔ false → ¬ ?a
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2014-09-29 23:40:17 +00:00
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-- ENDFINDP
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