theorem Th7: :: TREAL_1:7

for a, b being Real st a <= b holds
for t1, t2 being Point of (Closed-Interval-TSpace (a,b))
for s being Point of (Closed-Interval-TSpace (0,1)) holds (L[01] (t1,t2)) . s = ((t2 - t1) * s) + t1