fact: Definition ind_HP (P:U → UU) : UU := ∏ (x : A) (f : B x → U), (∏ u : B x, P (f u)) → P (sup x f).
imports: UniMath.MoreFoundations.All UniMath.Combinatorics.StandardFiniteSets UniMath.Induction.PolynomialFunctors UniMath.Induction.W.Core UniMath.Induction.W.Wtypes UniMath.Induction.FunctorAlgebras_legacy UniMath.Algebra.Universal.Signatures UniMath.Algebra.Universal.Algebras UniMath.Algebra.Universal.HVectors UniMath.Algebra.Universal.Terms