proposition: Lemma idmat_i_to_idvec {n : nat} (i : ⟦ n ⟧%stn) : (@identity_matrix R) i = (@stdb_vector R i).
proof: Proof. apply funextfun. intros j. apply funextfun. intros k. now destruct (stn_eq_or_neq j k). 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