theorem Th4: :: JORDAN24:4

for p1, p2 being Point of (TOP-REAL 2)
for P being Subset of (TOP-REAL 2)
for A being Real st p1,p2 realize-max-dist-in P holds
(Rotate A) . p1,(Rotate A) . p2 realize-max-dist-in (Rotate A) .: P