Definition istrans_subtype_containment {X} {A B C : hsubtype X} (leq_AB : A ⊆ B) (leq_BC : B ⊆ C) : A ⊆ C. Proof. cbn in *; auto. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.OrderTheory.OrderedSets.WellOrderedSets. Require Import UniMath.OrderTheory.DCPOs.AlternativeDefinitions.Dcpo. Require Import UniMath.OrderTheory.Posets.Subposets.