Definition ispologeqf {X : UU} {L R : hrel X} (lg : ∏ x1 x2, L x1 x2 <-> R x1 x2) (isl : ispreorder L) : ispreorder R. Proof. intros. apply (make_dirprod (istranslogeqf lg (pr1 isl)) (isrefllogeqf lg (pr2 isl))). Defined.
Require Import UniMath.Foundations.UnivalenceAxiom.