proposition: Lemma pointwise_rdistr_vector { n : nat } (v1 v2 v3 : Vector R n) : (v1 +pw v2) *pw v3 = (v1 *pw v3) +pw (v2 *pw v3).
proof: Proof. use (pointwise_rdistr (rigrdistr R)). Defined.
imports: UniMath.Foundations.PartA UniMath.Foundations.NaturalNumbers UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Nat UniMath.MoreFoundations.Tactics UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.Vectors UniMath.Algebra.RigsAndRings UniMath.Algebra.IteratedBinaryOperations UniMath.Algebra.Matrix UniMath.Algebra.GaussianElimination.Auxiliary