fact: Definition equiv_O_coeq : O (Coeq f g) <~> O (Coeq (O_functor f) (O_functor g)) := Build_Equiv _ _ (O_functor coeq_cmp) _.
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout