theorem Th59:
for
D being non
empty set for
i,
m9,
n9 being
Nat for
A9 being
Matrix of
n9,
m9,
D for
P,
Q being
finite without_zero Subset of
NAT for
F,
FQ being
FinSequence of
D st
len F = width A9 &
FQ = F * (Sgm Q) &
[:P,Q:] c= Indices A9 holds
RLine (
(Segm (A9,P,Q)),
i,
FQ)
= Segm (
(RLine (A9,((Sgm P) . i),F)),
P,
Q)