lean2/tests/lean/subst3.lean.expected.out
Leonardo de Moura 935c2a03a3 feat(*): change name conventions for Lean builtin libraries
Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
2014-01-05 19:21:44 -08:00

15 lines
549 B
Text

Set: pp::colors
Set: pp::unicode
Imported 'macros'
Proved: T
theorem T (A : Type) (p : A → Bool) (f : A → A → A) : ∀ x y z : A,
p (f x x) ⇒ x = y ⇒ x = z ⇒ p (f y z) :=
forall::intro
(λ x : A,
forall::intro
(λ y : A,
forall::intro
(λ z : A,
discharge
(λ H1 : p (f x x),
discharge (λ H2 : x = y, discharge (λ H3 : x = z, subst (subst H1 H2) H3))))))