fact: Definition same_induced_ordering {X:hSet} {S T : TOSubset X} {B : hsubtype X} (BS : B ⊆ S) (BT : B ⊆ T) := ∀ x y : B, subtype_inc BS x ≤ subtype_inc BS y ⇔ subtype_inc BT x ≤ subtype_inc BT y.
imports: UniMath.MoreFoundations.DecidablePropositions UniMath.MoreFoundations.Propositions UniMath.MoreFoundations.Subtypes UniMath.MoreFoundations.Sets UniMath.MoreFoundations.AxiomOfChoice UniMath.Combinatorics.OrderedSets