2013-12-25 20:27:56 +00:00
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Set: pp::colors
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Set: pp::unicode
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2014-01-06 03:10:21 +00:00
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Imported 'macros'
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2013-12-25 20:27:56 +00:00
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Proved: T
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2014-01-05 20:05:08 +00:00
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theorem T (A : Type) (p : A → Bool) (f : A → A → A) : ∀ x y z : A,
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2013-12-25 20:27:56 +00:00
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p (f x x) ⇒ x = y ⇒ x = z ⇒ p (f y z) :=
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2014-01-06 03:10:21 +00:00
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forall::intro
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2013-12-25 20:27:56 +00:00
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(λ x : A,
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2014-01-06 03:10:21 +00:00
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forall::intro
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2013-12-25 20:27:56 +00:00
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(λ y : A,
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2014-01-06 03:10:21 +00:00
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forall::intro
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2013-12-25 20:27:56 +00:00
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(λ z : A,
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2014-01-06 03:10:21 +00:00
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discharge
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2013-12-25 20:27:56 +00:00
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(λ H1 : p (f x x),
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2014-01-06 03:10:21 +00:00
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discharge (λ H2 : x = y, discharge (λ H3 : x = z, subst (subst H1 H2) H3))))))
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