reserve i,j,n for Nat,
  K for Field,
  a for Element of K,
  M,M1,M2,M3,M4 for Matrix of n,K;
reserve A for Matrix of K;

theorem
  for K being Field, n being Nat, M1,M2 being Matrix of n,K st
    M2 is_reverse_of M1 holds M1 commutes_with M2;
