Definition ring_univalence_weq2 (X Y : ring) : ((make_ring' X) = (make_ring' Y)) ≃ ((pr1 (make_ring' X)) = (pr1 (make_ring' Y))). Proof. use subtypeInjectivity. intros w. use isapropinvstruct. Defined.
Require Import UniMath.Algebra.Groups. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders.