Module K0 := knot_full_variant.Knot_MixVariantHeredTOthRel(Input).
Module KL0 := knot_full_variant.KnotLemmas_MixVariantHeredTOthRel(K0).
Existing Instance K0.ageable_knot.

Lemma hered_hereditary : forall (p: K0.knot -> Prop),
K0.hered (fun ko => p (fst ko)) <-> hereditary age p.