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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2015-11-21 01:03:17 +00:00
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false_or|∀ (a : Prop), false ∨ a ↔ a
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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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2015-11-21 01:03:17 +00:00
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false_iff|∀ (a : Prop), false ↔ a ↔ ¬a
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false_and|∀ (a : Prop), false ∧ a ↔ false
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2015-08-13 01:37:33 +00:00
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false.elim|false → ?c
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2015-11-17 05:30:28 +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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2015-11-17 05:30:28 +00:00
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false_iff_true|false ↔ true ↔ false
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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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2014-10-25 20:36:38 +00:00
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false.induction_on|∀ (C : Prop), false → C
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2015-11-18 18:10:46 +00:00
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false_of_true_iff_false|(true ↔ false) → false
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2015-04-08 16:49:22 +00:00
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true_ne_false|¬true = false
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2015-12-04 16:40:21 +00:00
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simplifier.unit_simp.false_imp|false → ?A ↔ true
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2015-11-17 05:30:28 +00:00
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nat.lt_self_iff_false|∀ (n : ℕ), n < n ↔ false
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2015-11-21 01:03:17 +00:00
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iff_false|∀ (a : Prop), a ↔ false ↔ ¬a
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2015-11-17 05:30:28 +00:00
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true_iff_false|true ↔ false ↔ false
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2015-11-23 01:15:28 +00:00
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ne_self_iff_false|∀ (a : ?A), ¬a = a ↔ false
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2015-04-08 16:49:22 +00:00
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not_of_is_false|is_false ?c → ¬?c
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2015-11-21 01:03:17 +00:00
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or_false|∀ (a : Prop), a ∨ false ↔ a
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2015-04-22 20:08:56 +00:00
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not_of_iff_false|(?a ↔ false) → ¬?a
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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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2015-08-13 01:37:33 +00:00
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classical.eq_true_or_eq_false|∀ (a : Prop), a = true ∨ a = false
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classical.eq_false_or_eq_true|∀ (a : Prop), a = false ∨ a = true
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2015-12-04 16:40:21 +00:00
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simplifier.unit_simp.not_true_of_false|¬true ↔ false
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2015-10-14 01:35:16 +00:00
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nat.lt_zero_iff_false|∀ (a : ℕ), a < 0 ↔ false
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2015-04-08 16:49:22 +00:00
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not_of_eq_false|?p = false → ¬?p
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2015-10-14 01:35:16 +00:00
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nat.succ_le_self_iff_false|∀ (n : ℕ), nat.succ n ≤ n ↔ false
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2015-04-08 16:49:22 +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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2015-02-25 22:08:37 +00:00
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decidable_false|decidable false
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2015-11-17 05:30:28 +00:00
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not_false_iff|¬false ↔ true
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2015-04-08 16:49:22 +00:00
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of_not_is_false|¬is_false ?c → ?c
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2015-08-13 01:37:33 +00:00
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classical.cases_true_false|∀ (P : Prop → Prop), P true → P false → (∀ (a : Prop), P a)
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2015-04-22 20:08:56 +00:00
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iff_false_intro|¬?a → (?a ↔ false)
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2015-11-21 01:03:17 +00:00
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and_false|∀ (a : Prop), a ∧ false ↔ false
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if_false|∀ (t e : ?A), ite false t e = e
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2015-08-10 02:04:40 +00:00
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ne_false_of_self|?p → ?p ≠ false
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2015-10-14 01:35:16 +00:00
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nat.succ_le_zero_iff_false|∀ (n : ℕ), nat.succ n ≤ 0 ↔ false
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2015-04-30 22:45:15 +00:00
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tactic.exfalso|tactic
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2014-09-29 23:40:17 +00:00
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-- ENDFINDP
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