reconsider ea = 0 as Element of F_Complex by COMPLFLD:def 1;
let M1 be Matrix of COMPLEX ; :: thesis: ( len M1 > 0 implies 0 * M1 = 0_Cx (len M1),(width M1) )
assume A1: len M1 > 0 ; :: thesis: 0 * M1 = 0_Cx (len M1),(width M1)
0 * M1 = Field2COMPLEX (ea * (COMPLEX2Field M1)) by Def7
.= 0_Cx (len M1),(width M1) by A1, Th40, COMPLFLD:9 ;
hence 0 * M1 = 0_Cx (len M1),(width M1) ; :: thesis: verum