∀A.∀a.∀P: ∀x:A. eq ? x a → Type[0]. P a (refl A a) → ∀x.∀p:eq ? x a.P x p.
#A #a #P #H #x #p (generalize in match H) (generalize in match P)
cases p; //; qed.
-
+
+lemma eq_rect_Type1_r:
+ ∀A.∀a.∀P: ∀x:A. eq ? x a → Type[1]. P a (refl A a) → ∀x.∀p:eq ? x a.P x p.
+ #A #a #P #H #x #p (generalize in match H) (generalize in match P)
+ cases p; //; qed.
+
lemma eq_rect_Type2_r:
∀A.∀a.∀P: ∀x:A. eq ? x a → Type[2]. P a (refl A a) → ∀x.∀p:eq ? x a.P x p.
#A #a #P #H #x #p (generalize in match H) (generalize in match P)