let f1, f2 be complex-valued Function; :: thesis: (f1 / f2) ^ = (f2 | (dom (f2 ^ ))) / f1
thus (f1 / f2) ^ = (f1 (#) (f2 ^ )) ^ by Th47
.= (f1 ^ ) (#) ((f2 ^ ) ^ ) by Th43
.= (f2 | (dom (f2 ^ ))) (#) (f1 ^ ) by Th42
.= (f2 | (dom (f2 ^ ))) / f1 by Th47 ; :: thesis: verum