let A be set ; for f, g being A -defined Function
for h being Function holds h +* f,h +* g equal_outside A
let f, g be A -defined Function; for h being Function holds h +* f,h +* g equal_outside A
let h be Function; h +* f,h +* g equal_outside A
h,h +* f equal_outside A
by Th132;
then A1:
h +* f,h equal_outside A
by Th28;
h,h +* g equal_outside A
by Th132;
hence
h +* f,h +* g equal_outside A
by A1, Th29; verum