lean2/tests/lean/subst3.lean
Leonardo de Moura 048151487e feat(kernel): use Pi as forall/implication
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-08 00:38:39 -08:00

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import macros
theorem T (A : Type) (p : A -> Bool) (f : A -> A -> A) : forall x y z, p (f x x) → x = y → x = z → p (f y z) :=
λ x y z, λ (H1 : p (f x x)) (H2 : x = y) (H3 : x = z),
subst (subst H1 H2) H3
print environment 1.