
theorem :: MATRIX_4:10
  for M1,M2 being Matrix of COMPLEX st len M1=len M2 & width M1=width M2
  & M2 - M1 = M2 holds M1=0_Cx(len M1,width M1)
proof
  let M1,M2 be Matrix of COMPLEX;
  assume that
A1: len M1=len M2 & width M1=width M2 and
A2: M2 - M1 = M2;
  COMPLEX2Field M2 +(COMPLEX2Field M1) = (COMPLEX2Field M2) by A1,A2,
MATRIX_4:22;
  hence thesis by A1,MATRIX_4:6;
end;
