proposition: Lemma make_matrix_left_inverse {m n k: nat} (A : Matrix R m n) (B : Matrix R n m) (eq : matrix_mult A B = identity_matrix) : matrix_left_inverse B.
proof: Proof. now exists A. 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