proposition: Lemma stdb_vector_sums_to_1 { n : nat } (i : ⟦ n ⟧%stn) : Σ (@stdb_vector R n i) = 1%rig.
proof: Proof. etrans. { apply (pulse_function_sums_to_point _ i), is_pulse_function_stdb_vector. } unfold stdb_vector; now rewrite stn_eq_or_neq_refl. 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