fact: Definition hrelabgrdiff (X : abmonoid) : hrel (X × X) := λ xa1 xa2, hexists (λ x0 : X, paths (((pr1 xa1) + (pr2 xa2)) + x0) (((pr1 xa2) + (pr2 xa1)) + x0)).
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Subtypes UniMath.Algebra.BinaryOperations UniMath.Algebra.Monoids