proposition: Lemma matrix_add_comm {m n} (mat1 : Matrix R m n) (mat2 : Matrix R m n) : matrix_add mat1 mat2 = matrix_add mat2 mat1.
proof: Proof. apply entrywise_comm, rigcomm1. 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