reserve

  k,n,m,i,j for Element of NAT,
  K for Field;
reserve L for non empty addLoopStr;
reserve G for non empty multLoopStr;

theorem Th15:
  for A being Matrix of 0,K holds A={} & A=1.(K,0) & A=0.(K,0)
proof
  let A be Matrix of 0,K;
A1: len A=0 by MATRIX_0:24;
  hence A={};
  hence A=1.(K,0) by Th14;
  thus thesis by A1;
end;
