lean2/tests/lean/run/elim2.lean

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import standard
using num tactic
variable p : num → num → num → Bool
axiom H1 : ∃ x y z, p x y z
axiom H2 : ∀ {x y z : num}, p x y z → p x x x
theorem tst : ∃ x, p x x x
:= obtains a b c H [fact], from H1,
by (apply exists_intro; apply H2; eassumption)