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 a : A1, B1) (λ _ : A2, B2) H a