lean2/tests/lean/subst3.lean
Leonardo de Moura 0b4bdceb10 feat(builtin/macros): rename 'For' macro to 'take'
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 11:08:55 -08:00

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(* import("macros.lua") *)
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) :=
take x y z, Assume (H1 : p (f x x)) (H2 : x = y) (H3 : x = z),
Subst' H1 H2 H3.
print Environment 1.