Definition abmonoid_univalence_weq2 (X Y : abmonoid) : ((make_abmonoid' X) = (make_abmonoid' Y)) ≃ ((pr1 (make_abmonoid' X)) = (pr1 (make_abmonoid' Y))). Proof. use subtypeInjectivity. intros w. use isapropiscomm. Defined.
Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Orders. Require Import UniMath.Algebra.Monoids2.