fact: Definition scalar_extension_binproduct_iso : z_iso (scalar_extension_functor (binproducts_monoid_action_cat M X X')) (binproducts_monoid_action_cat M' (scalar_extension_functor X) (scalar_extension_functor X')) := make_monoid_action_z_iso (scalar_extension_functor (binproducts_monoid_action_cat M X X')) (BinProductObject _ (binproducts_monoid_action_cat M' (scalar_extension_functor X) (scalar_extension_functor X'))) (make_z_iso (C := HSET) (a := setquotinset _) (b := setdirprod (setquotinset _) (setquotinset _)) scalar_extension_binproduct_iso_mor scalar_extension_binproduct_iso_inv scalar_extension_binproduct_iso_is_iso) scalar_extension_binproduct_iso_is_morphism.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Algebra.Monoids UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.MonoEpiIso UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.exponentials UniMath.CategoryTheory.Limits.BinProducts UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Preservation UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total