lean2/tests/lean/run/elim2.lean
Leonardo de Moura 364bba2129 feat(frontends/lean/inductive_cmd): prefix introduction rules with the name of the inductive datatype
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-09-04 17:26:36 -07:00

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import logic
open tactic
variable p : num → num → num → Prop
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
:= obtain a b c H [fact], from H1,
by (apply exists_intro; apply H2; eassumption)