lean2/tests/lean/elab4.lean

13 lines
478 B
Text
Raw Normal View History

Variable C {A B : Type} (H : A = B) (a : A) : B
Variable D {A A' : Type} {B : A -> Type} {B' : A' -> Type} (H : (Pi x : A, B x) = (Pi x : A', B' x)) : A = A'
Variable R {A A' : Type} {B : A -> Type} {B' : A' -> Type} (H : (Pi x : A, B x) = (Pi x : A', B' x)) (a : A) :
(B a) = (B' (C (D H) a))
Theorem R2 : Pi (A1 A2 B1 B2 : Type) (H : (A1 -> B1) = (A2 -> B2)) (a : A1), B1 = B2 :=
fun A1 A2 B1 B2 H a, R H a
SetOption pp::implicit true
Show Environment 7.