proposition: Lemma chain_union_rel_isTotalOrder {X : hSet} {I : UU} {S : I → WOSubset X} (chain : is_wosubset_chain S) : isTotalOrder (chain_union_rel chain).
proof: Proof. repeat split. - apply chain_union_rel_istrans. - apply chain_union_rel_isrefl. - apply chain_union_rel_isantisymm. - apply chain_union_rel_istotal. Defined.
imports: UniMath.MoreFoundations.DecidablePropositions UniMath.MoreFoundations.Propositions UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.MoreFoundations.AxiomOfChoice UniMath.Combinatorics.OrderedSets