let z2, z1 be Element of F_Complex ; :: thesis: ( z2 <> 0. F_Complex implies (z1 / z2) *' = (z1 *' ) / (z2 *' ) )
reconsider z19 = z1, z29 = z2 as Element of COMPLEX by Def1;
assume A1: z2 <> 0. F_Complex ; :: thesis: (z1 / z2) *' = (z1 *' ) / (z2 *' )
then A2: z2 *' <> 0. F_Complex by Th84;
z19 / z29 = z1 / z2 by A1, Th8;
hence (z1 / z2) *' = (z19 *' ) / (z29 *' ) by COMPLEX1:123
.= (z1 *' ) / (z2 *' ) by A2, Th8 ;
:: thesis: verum