proposition: Lemma idrow_sums_to_1 { n : nat } (i : ⟦ n ⟧%stn) : Σ ((@identity_matrix R n ) i) = 1%rig.
proof: Proof. apply stdb_vector_sums_to_1. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.Vectors UniMath.Algebra.RigsAndRings UniMath.Algebra.IteratedBinaryOperations UniMath.Algebra.Matrix UniMath.Algebra.Domains_and_Fields UniMath.Algebra.GaussianElimination.Auxiliary UniMath.Algebra.GaussianElimination.Vectors