theorem :: RLAFFIN3:18

for r being Real
for V being RealLinearSpace
for v being VECTOR of V
for Affv being finite affinely-independent Subset of V
for EV being Enumeration of Affv
for rE being Enumeration of r * Affv st v in Affin Affv & rE = r (#) EV & r <> 0 holds
v |-- EV = (r * v) |-- rE