(R : SPushout -> Type) (spushl' : forall x, R (spushl x)) (spushr' : forall y, R (spushr y)) (spglue' : forall x y (q : Q x y), transport R (spglue q) (spushl' x) = (spushr' y)) (x:X) (y:Y) (q:Q x y) : apD (SPushout_ind R spushl' spushr' spglue') (spglue q) = spglue' x y q := Pushout_ind_beta_pglue _ _ _ _ ((x,y);q).
Require Import HoTT.Basics HoTT.Colimits.Pushout.