lean2/tests/lean/run/tactic21.lean
2016-02-11 17:17:55 -08:00

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import logic
open tactic
theorem tst1 {A : Type} {a b c : A} {p : A → A → Prop} (H1 : p a b) (H2 : p b c) : ∃ x, p a x ∧ p x c
:= by apply exists.intro; apply and.intro; eassumption; eassumption
theorem tst2 {A : Type} {a b c d : A} {p : A → A → Prop} (Ha : p a c) (H1 : p a b) (Hb : p b d) (H2 : p b c) : ∃ x, p a x ∧ p x c
:= by apply exists.intro; apply and.intro; eassumption; eassumption
reveal tst2
print tst2