$ A\setminus(B\setminus C) = (A\setminus B)\cup (A\cap C) $ how to prove?
33524
Prove the following $A \setminus (B\setminus C) = (A\setminus B)\cap (A \cup C)$
67717
$A \oplus B = A \oplus C$ imply $B = C$?
79165
How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$
77859
Prove or find a counter example to the claim that for all sets A,B,C if A ∩ B = B ∩ C = A ∩ C = Ø then A∩B∩C ≠ Ø
149553
Is it always true that $(A_1 \cup A_2) \times (B_1 \cup B_2)=(A_1\times B_1) \cup (A_2 \times B_2)$
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
75604
Proof that $\partial(A\times B) = ((\partial A)\times B)\cup (A\times(\partial B))$
76610
Show that $f^{-1}(A \cup B) = f^{-1}(A) \cup f^{-1}(B)$
123467
Prove that $f(z) = e^z$ maps $\mathbb{C} \setminus B $ onto $\mathbb{C} \setminus \{0\}$.
80684
Counter example for $(A \times B) \cap (C \times D) = (A \cap C ) \times (B \cap D)$
115606
Proofs involving $ (A\setminus B) \cup (A \cap B)$
116527
Validating a proof for necessary and sufficient conditions on sets A & B such that $P(A) \cup P(B) = P(A\cup B)$
131983
Prove that $A \subset B$ if and only if $A \setminus B = \emptyset$
140446
Prove that $A \smallsetminus (A \smallsetminus B) = A \cap B$
148668
How to show $A\times (B\cup C) = (A\times B)\cup (A\times C)$
144502
Showing that $A\cap B = A\setminus (A\setminus B)$
10107
Prove $A\cup (A\cap B) = A$