Definition iscoasymmlogeqf {X : UU} {L R : hrel X} (lg : ∏ x1 x2, L x1 x2 <-> R x1 x2) (isl : iscoasymm L) : iscoasymm R. Proof. intros. intros x1 x2 r12. apply ((pr1 (lg _ _)) (isl _ _ (negf (pr1 (lg _ _)) r12))). Defined.
Require Import UniMath.Foundations.UnivalenceAxiom.