take notice of
{A 1,
A2,
...,
. AK}
be
A
A division must meet two conditions:
1)∪Ai
=
a;
2)Ai∩Aj
=
Φ
(i≠j).
1) obviously. The following proofs 2):
If there is me,
J, manufacturing
Ai∩Aj
≠
φ, that is, there is
a
Included in the
Ai∩Aj
Yes, so for any
B∈Ai because
A∈Ai, there should be ∈R, but
A∈Aj, knowing that there should also be b∈Aj, therefore
artificial intelligence
Included in the
Aj, it contradicts the topic. Get a license.