phomotopy_ind_1' `{H0 : Funext} {A : pType} {P : pFam A} {k : pForall A P} (Q : forall (k' : pForall A P), (k ==* k') -> (k = k') -> Type) (q : Q k (reflexivity k) 1 % path) : phomotopy_ind' Q q k (reflexivity k) (path_pforall (reflexivity k)) (1 % path) = transport (Q k (reflexivity k)) path_pforall_1^ q. Proof. srapply phomotopy_ind_1. Defined.
Require Import Basics Types. Require Import Homotopy.IdentitySystems. Require Import WildCat. Require Import Truncations.Core. Require Import ReflectiveSubuniverse. Require Import Extensions.