2013-09-07 00:58:45 +00:00
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Variable C {A B : Type} (H : A = B) (a : A) : B
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Variable D {A A' : Type} {B : A -> Type} {B' : A' -> Type} (H : (Pi x : A, B x) = (Pi x : A', B' x)) : A = A'
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Variable R {A A' : Type} {B : A -> Type} {B' : A' -> Type} (H : (Pi x : A, B x) = (Pi x : A', B' x)) (a : A) :
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(B a) = (B' (C (D H) a))
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2013-12-06 21:23:20 +00:00
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Theorem R2 : Pi (A1 A2 B1 B2 : Type) (H : (A1 -> B1) = (A2 -> B2)) (a : A1), B1 = B2 :=
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2013-09-07 00:58:45 +00:00
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fun A1 A2 B1 B2 H a, R H a
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2013-12-19 05:18:45 +00:00
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SetOption pp::implicit true
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2013-09-07 00:58:45 +00:00
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Show Environment 7.
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