theorem Th25:
for
X,
Y being non
empty set for
A being
Element of
bool [:X,Y:] for
x,
y being
set st
x in X &
y in Y holds
( (
[x,y] in A implies
x in Y-section (
A,
y) ) & (
x in Y-section (
A,
y) implies
[x,y] in A ) & (
[x,y] in A implies
y in X-section (
A,
x) ) & (
y in X-section (
A,
x) implies
[x,y] in A ) )