proposition: Lemma col_vec_inj_pointwise { X : rig } { n : nat } (v1 v2 : Vector X n) : forall i : (stn n), (col_vec v1 i) = (col_vec v2 i) -> (v1 i) = (v2 i).
proof: Proof. intros i eq; apply (invmaponpathsweq (@weq_vector_1 X) _ _ eq). 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