elementary set theory - $(A\cap B)\cup C = A \cap (B\cup C)$ if

I have a set identity: $(A \cap B) \cup C = A \cap (B \cup C)$ if and only if $C \subset A$. I started with Venn diagrams and here is the result: It is evident that set identity is correct. So I

Complement (set theory) - Wikiwand

Real Life Problems on Sets

1.6: Set Operations with Three Sets - Mathematics LibreTexts

The ( left( A cap B ^ { prime } right) ^ { prime } cup ( B cap C

Symmetric difference - Wikipedia

SOLVED: For all sets A and B, prove via an element argument that

First order logic and set theory – Architecture mining

Set (mathematics) - Wikipedia

1. Commutative Laws: For all sets A and B, (a)

Prove the following set-theoretic identities for union and i