For the dual rate proof of set, Cu (a ∩ b) = CUA ∪ cub, for the strict logic proof, no Venn diagram or enumeration

For the dual rate proof of set, Cu (a ∩ b) = CUA ∪ cub, for the strict logic proof, no Venn diagram or enumeration

According to the proof method of set equality, we only need to prove that two sets contain each other
Let x ∈ Cu (a ∩ b), then x does not belong to a ∩ B, then x does not belong to a or X does not belong to B, so x ∈ CUA or cub, that is, X ∈ (CUA) ∪ cub, so Cu (a ∩ b) is included in CUA ∪ cub
Similarly, we can prove that CUA ∪ cub is contained in Cu (a ∩ b) (write it yourself)