2017-07-18 21:53:03 +00:00
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open unit pointed eq bool
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structure foo (u v : unit) :=
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(b : bool → bool)
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definition bar := foo star
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definition bar.mk [constructor] : bar star := foo.mk star star (λx, tt)
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definition bar.mk2 [constructor] : bar star := bar.mk
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example : foo.b bar.mk2 ff = tt :=
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begin esimp end
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definition my_ppi_const [constructor] {A : Type*} (P : A → Type*) : ppi P :=
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ppi.mk (λa, pt) idp
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definition my_pconst [constructor] (A B : Type*) : ppi (λ(a : A), B) :=
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!my_ppi_const
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2017-07-20 21:04:05 +00:00
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example {A : Type*} (P : A → Type*) (a : A) : ppi.to_fun (my_ppi_const P) a = pt :=
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2017-07-18 21:53:03 +00:00
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begin esimp, end
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example {A B : Type*} (a : A) : my_pconst A B a = pt :=
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begin esimp end
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