2014-01-05 20:05:08 +00:00
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variable C {A B : Type} (H : A = B) (a : A) : B
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2013-09-09 05:54:22 +00:00
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2014-01-08 08:38:39 +00:00
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variable D {A A' : Type} {B : A -> Type} {B' : A' -> Type} (H : (forall x : A, B x) = (forall x : A', B' x)) : A = A'
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2013-09-09 05:54:22 +00:00
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2014-01-08 08:38:39 +00:00
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variable R {A A' : Type} {B : A -> Type} {B' : A' -> Type} (H : (forall x : A, B x) = (forall x : A', B' x)) (a : A) :
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2013-09-09 05:54:22 +00:00
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(B a) = (B' (C (D H) a))
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2014-01-08 08:38:39 +00:00
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theorem R2 : forall (A1 A2 B1 B2 : Type), ((A1 -> B1) = (A2 -> B2)) -> A1 -> (B1 = B2) :=
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2013-09-09 05:54:22 +00:00
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fun A1 A2 B1 B2 H a, R H a
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2014-01-09 16:33:52 +00:00
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set_option pp::implicit true
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2014-01-05 20:05:08 +00:00
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print environment 7.
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