d3d24696f4
The user can still display builtin objects by using
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Signed-off-by: Leonardo de Moura <leonardo@microsoft.com>
18 lines
757 B
Text
18 lines
757 B
Text
Set: pp::colors
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Set: pp::unicode
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Assumed: C
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Assumed: D
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Assumed: R
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Proved: R2
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Set: lean::pp::implicit
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Variable C {A B : Type} (H : eq::explicit Type A B) (a : A) : B
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Variable D {A A' : Type} {B : A → Type} {B' : A' → Type} (H : eq::explicit Type (Π x : A, B x) (Π x : A', B' x)) :
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eq::explicit Type A A'
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Variable R {A A' : Type}
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{B : A → Type}
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{B' : A' → Type}
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(H : eq::explicit Type (Π x : A, B x) (Π x : A', B' x))
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(a : A) :
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eq::explicit Type (B a) (B' (C::explicit A A' (D::explicit A A' (λ x : A, B x) (λ x : A', B' x) H) a))
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Theorem R2 (A1 A2 B1 B2 : Type) (H : eq::explicit Type (A1 → B1) (A2 → B2)) (a : A1) : eq::explicit Type B1 B2 :=
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R::explicit A1 A2 (λ x : A1, B1) (λ x : A2, B2) H a
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