let r be Real; :: thesis: for p being Point of (TOP-REAL 2) holds euc2cpx (r * p) = r * (euc2cpx p)
let p be Point of (TOP-REAL 2); :: thesis: euc2cpx (r * p) = r * (euc2cpx p)
r * p = |[(r * (p `1)),(r * (p `2))]| by EUCLID:57;
then ( (r * p) `1 = r * (p `1) & (r * p) `2 = r * (p `2) ) by EUCLID:52;
hence euc2cpx (r * p) = r * (euc2cpx p) ; :: thesis: verum