Definition commring_univalence_weq2 (X Y : commring) : ((make_commring' X) = (make_commring' Y)) ≃ ((pr1 (make_commring' X)) = (pr1 (make_commring' Y))). Proof. use subtypeInjectivity. intros w. use isapropiscomm. Defined.
Require Import UniMath.Algebra.Groups. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders.