fact: Definition istrans_le_lt_ltNonnegativeReals : ∏ x y z : NonnegativeReals, x <= y -> y < z -> x < z := istrans_EOle_lt (X := EffectivelyOrdered_NonnegativeReals).
imports: UniMath.MoreFoundations.Orders UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.Notations UniMath.RealNumbers.Sets UniMath.Algebra.ConstructiveStructures UniMath.OrderTheory.Lattice.Lattice UniMath.RealNumbers.Prelim UniMath.RealNumbers.NonnegativeRationals