Set: pp::colors Set: pp::unicode Assumed: C Assumed: D Assumed: R Proved: R2 Theorem R2 (A A' B B' : Type) (H : (A → B) = (A' → B')) (a : A) : B = B' := R A A' (λ x : A, B) (λ x : A', B') H a Proved: R3 Proved: R4 Proved: R5 Theorem R5 (A1 A2 B1 B2 : Type) (H : (A1 → B1) = (A2 → B2)) (a : A1) : B1 = B2 := R A1 A2 (λ x : A1, B1) (λ x : A2, B2) H a