Definition commrig_univalence_weq3 (X Y : commrig) : ((pr1 (make_commrig' X)) = (pr1 (make_commrig' Y))) ≃ (rigiso X Y) := rig_univalence (pr1 (make_commrig' X)) (pr1 (make_commrig' Y)).
Require Import UniMath.Algebra.Groups. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders.