fact: Definition gauss_clear_row_as_left_matrix { m n : nat } (mat : Matrix F m n) (row : (⟦ m ⟧%stn)) (p : n > 0) : Matrix F m m.
imports: UniMath.Foundations.PartA UniMath.Foundations.NaturalNumbers UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Nat UniMath.MoreFoundations.Tactics UniMath.Combinatorics.StandardFiniteSets UniMath.Combinatorics.FiniteSequences UniMath.Combinatorics.Vectors UniMath.Combinatorics.Maybe UniMath.Algebra.BinaryOperations UniMath.Algebra.IteratedBinaryOperations UniMath.Algebra.RigsAndRings UniMath.Algebra.Matrix UniMath.Algebra.Domains_and_Fields UniMath.Algebra.GaussianElimination.Auxiliary UniMath.Algebra.GaussianElimination.Vectors UniMath.Algebra.GaussianElimination.Matrices UniMath.Algebra.GaussianElimination.RowOps