{A' B' C'} {f' : A' -> B'} {g' : A' -> C'} (h : A -> A') (k : B -> B') (l : C -> C') (p : k o f == f' o h) (q : l o g == g' o h) `{O_inverts h} `{O_inverts k} `{O_inverts l} : O_inverts (functor_pushout h k l p q). Proof. rapply O_inverts_functor_coeq; rapply O_inverts_functor_sum. Defined.
Require Import HoTT.Basics HoTT.Types. Require Import Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback. Require Import Homotopy.IdentitySystems. Require Import Colimits.Pushout.