How to prove that $A-(B\cap C)=(A-B)\cup (A-C)$
38807
Does set difference distribute over set intersection?
116215
Prove that $P(A \cap B\mid C)=P(A \mid (B \cap C))P(B\mid C)$
137707
How to prove that $(A\cup B) \cap C \subseteq A\cup (B\cap C)$
46240
Show that if $A$ and $B$ are sets, then $(A\cap B) \cup (A\cap \overline{B})=A$.
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
122326
Proving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$
138199
Proof explanation $A\setminus B = A \setminus B \cap A$
103441
Proving $(A\cup B)\cap(B\cup C)\cap(C\cup A)=(A\cap B)\cup (A\cap C)\cup (B\cap C)$?
127656
How to prove that if $A$ is infinite and $B$ is finite, then $|A\cup B|=|A|$?
106927
How do I prove $[G:H\cap K]\leq [G:H][G:K]$?
10107
Prove $A\cup (A\cap B) = A$
13415
How to show if $A \subseteq B$, then $A \cap B = A$?
10909
$|A \cup B| = \mathfrak{c}$, then $A$ or $B$ has cardinality $\mathfrak{c}$.
143979
How can I prove that $|A| + |B| = |A\cup B| + |A\cap B|$?
144502
Showing that $A\cap B = A\setminus (A\setminus B)$
26766
Proving : $A \cap (B-C) = (A \cap B) - (A \cap C)$
140440
Proving $(A\times C)\cup(B\times D)\subseteq(A\cup B)\times(C\cup D)$