proposition: Lemma ispartialorder_pointwiseorder {X:UU} (P : X -> Poset) : isPartialOrder (pointwiseorder P).
proof: Proof. repeat split. - repeat intro. eapply istrans_posetRelation; auto. - repeat intro. apply isrefl_posetRelation. - intros f g le_f_g le_g_f. use funextsec; intro. apply isantisymm_posetRelation; auto. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.WellOrderedSets UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo