I believe brazil84 is describing this:
P(X | C & (X v Y)) > P(X | X v Y)P(Y | C & (X v Y)) < P(Y | X v Y)
while you are describing this:
P(X | C) < P(X)P(Y | C) < P(Y)
All four of these statements can be true.
(nods)See also alejandro1′s sibling comment and my reply.
I believe brazil84 is describing this:
P(X | C & (X v Y)) > P(X | X v Y)
P(Y | C & (X v Y)) < P(Y | X v Y)
while you are describing this:
P(X | C) < P(X)
P(Y | C) < P(Y)
All four of these statements can be true.
(nods)
See also alejandro1′s sibling comment and my reply.