proposition: Lemma row_vec_inj { X : rig } { n : nat } (v1 v2 : Vector X n) : row_vec v1 = row_vec v2 -> v1 = v2.
proof: Proof. intros H; apply (invmaponpathsweq (@weq_rowvec X n) _ _ H). 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