fact: Definition O_rec_functor_prod {A B X Y : Type} `{In O X} `{In O Y} (f : A -> X) (g : B -> Y) : O_rec (functor_prod f g) == prod_coind (O_rec (f o fst : A * B -> X)) (O_rec (g o snd : A * B -> Y)).
imports: HoTT.Basics HoTT.Types Equiv.BiInv Extensions HProp HFiber NullHomotopy Limits.Pullback PathAny Colimits.Pushout