Proving/Disproving set identity $(A\cap B)\cup C= A\cap (B\cup C)$
70307
$(A\cap B)\cup C = A \cap (B\cup C)$ if and only if $C \subset A$
111032
Proof of Sets involving the Cartesian Product
88982
Prove that for any two sets $A$ and $B$, $A\notin B$ or $B\notin A$
26302
Prove that $(X \cap Y) \cup Z = (X \cup Z) \cap (Y \cup Z)$
49578
Proving $a\mathbb{Z}\cap b\mathbb{Z}=[a,b]\mathbb{Z}$
59813
Prove that for all sets A and B, A ∩ B = ∅ implies ( A ∪ B ) - B = A
33524
Prove the following $A \setminus (B\setminus C) = (A\setminus B)\cap (A \cup C)$
42603
How can I prove that the cadinality of a set minus a finite number of elements of it is still the same as the original set?
134120
Prove statement with a counter-example: For all sets S, T and V, V ∪ (S ∩ T) = (V ∪ S) ∩ T is false
45666
de morgan law $A\setminus (B \cap C) = (A\setminus B) \cup (A\setminus C) $
66948
Proving question on sets
79165
How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$
75966
Prove that if $A$ is a set with $m$ elements, $B$ is a set with $n$ elements, and $A \cap B = \emptyset$, then $A \cup B$ has $m+n$ elements.
5132
Given $A\cap \overline{B}\neq \emptyset$, prove $A\cup B$ connected.
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
106564
Suppose $A,B,C$ are sets. Prove that $A\mathbin\triangle B\subseteq C \iff A\cup C=B\cup C$.
76823
Is it the case that for all sets $A, B, C,$ and $D$, $(A \times B) \cup (C \times D) = (A \cup B) \times (C \cup D)$?