30 lines
1.2 KiB
Text
30 lines
1.2 KiB
Text
-- BEGINWAIT
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-- ENDWAIT
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-- BEGINFINDP STALE
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false|Prop
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false.rec|Π (C : Type), false → C
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false.elim|false → ?c
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false.of_ne|?a ≠ ?a → false
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false.rec_on|Π (C : Type), false → C
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false.cases_on|Π (C : Type), false → C
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false.induction_on|∀ (C : Prop), false → C
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true_ne_false|¬true = false
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nat.lt_self_iff_false|∀ (n : ℕ), n < n ↔ false
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not_of_is_false|is_false ?c → ¬?c
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not_of_iff_false|(?a ↔ false) → ¬?a
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is_false|Π (c : Prop) [H : decidable c], Prop
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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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nat.lt_zero_iff_false|∀ (a : ℕ), a < 0 ↔ false
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not_of_eq_false|?p = false → ¬?p
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nat.succ_le_self_iff_false|∀ (n : ℕ), nat.succ n ≤ n ↔ false
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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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decidable_false|decidable false
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of_not_is_false|¬is_false ?c → ?c
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classical.cases_true_false|∀ (P : Prop → Prop), P true → P false → (∀ (a : Prop), P a)
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iff_false_intro|¬?a → (?a ↔ false)
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ne_false_of_self|?p → ?p ≠ false
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nat.succ_le_zero_iff_false|∀ (n : ℕ), nat.succ n ≤ 0 ↔ false
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tactic.exfalso|tactic
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-- ENDFINDP
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