proposition: Lemma transpose_invertible_to_invertible { n } (mat : Matrix CR n n) : (@matrix_inverse CR n (transpose mat)) -> (@matrix_inverse CR n mat).
proof: Proof. apply invertible_to_transpose_invertible. 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