theorem Th47:
for
a,
b,
c,
d being
Real st
a < b &
c < d holds
(
(LSeg (|[a,c]|,|[a,d]|)) \/ (LSeg (|[a,d]|,|[b,d]|)) is_an_arc_of W-min (rectangle (a,b,c,d)),
E-max (rectangle (a,b,c,d)) &
(LSeg (|[a,c]|,|[b,c]|)) \/ (LSeg (|[b,c]|,|[b,d]|)) is_an_arc_of E-max (rectangle (a,b,c,d)),
W-min (rectangle (a,b,c,d)) )