lean2/tests/lean/interactive/findp.input.expected.out
Leonardo de Moura d2eb99bf11 refactor(library/logic): move logic/choice.lean to init/classical.lean
choice axiom is now in the classical namespace.
2015-08-12 18:37:33 -07:00

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-- BEGINWAIT
-- ENDWAIT
-- BEGINFINDP STALE
false|Prop
false.rec|Π (C : Type), false → C
false.elim|false → ?c
false.of_ne|?a ≠ ?a → false
false.rec_on|Π (C : Type), false → C
false.cases_on|Π (C : Type), false → C
false.induction_on|∀ (C : Prop), false → C
true_ne_false|¬true = false
nat.lt_self_iff_false|∀ (n : nat), nat.lt n n ↔ false
not_of_is_false|is_false ?c → ¬?c
not_of_iff_false|(?a ↔ false) → ¬?a
is_false|Π (c : Prop) [H : decidable c], Prop
classical.eq_true_or_eq_false|∀ (a : Prop), a = true a = false
classical.eq_false_or_eq_true|∀ (a : Prop), a = false a = true
nat.lt_zero_iff_false|∀ (a : nat), nat.lt a nat.zero ↔ false
not_of_eq_false|?p = false → ¬?p
nat.succ_le_self_iff_false|∀ (n : nat), nat.le (nat.succ n) n ↔ false
decidable.rec_on_false|Π (H3 : ¬?p), ?H2 H3 → decidable.rec_on ?H ?H1 ?H2
not_false|¬false
decidable_false|decidable false
of_not_is_false|¬is_false ?c → ?c
classical.cases_true_false|∀ (P : Prop → Prop), P true → P false → (∀ (a : Prop), P a)
iff_false_intro|¬?a → (?a ↔ false)
ne_false_of_self|?p → ?p ≠ false
nat.succ_le_zero_iff_false|∀ (n : nat), nat.le (nat.succ n) nat.zero ↔ false
tactic.exfalso|tactic
-- ENDFINDP