theorem Th65:
for
f being
Function for
O being non
empty connected Poset for
T being non
empty array of
O for
p,
q,
r being
Element of
dom T st
q in r &
f = Swap (
(id (dom T)),
p,
q) holds
(
((T,p,q) incl) . (
p,
r)
= [(f . p),(f . r)] &
((T,p,q) incl) . (
q,
r)
= [(f . q),(f . r)] )