proposition: Lemma transpose_inj {X : UU} {m n : nat} (mat1 mat2 : Matrix X m n) : transpose mat1 = transpose mat2 -> mat1 = mat2.
proof: Proof. apply (maponpaths transpose). 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