How to construct a proof of $A = (A\cap B)\cup (A-B)$?
13167
Prove $A = (A \setminus B) \cup (A \cap B)$
26766
Proving : $A \cap (B-C) = (A \cap B) - (A \cap C)$
140440
Proving $(A\times C)\cup(B\times D)\subseteq(A\cup B)\times(C\cup D)$
13415
How to show if $A \subseteq B$, then $A \cap B = A$?
63535
Prove that if $A – C = B – C$ and $A\cap C = B\cap C$ then $A = B$
33524
Prove the following $A \setminus (B\setminus C) = (A\setminus B)\cap (A \cup C)$
127296
prove that a|b and b|a iff a=+-b
33030
Proof that $\inf A = -\sup(-A)$
114599
$A \cup B$ and $A \cap B$ connected $\implies A$ and $B$ are connected
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
154698
Union of Cartesian products: $X \times (Y \cup Z)= (X \times Y) \cup(X\times Z)$
52323
Maps - question about $f(A \cup B)=f(A) \cup f(B)$ and $ f(A \cap B)=f(A) \cap f(B)$
46240
Show that if $A$ and $B$ are sets, then $(A\cap B) \cup (A\cap \overline{B})=A$.
140446
Prove that $A \smallsetminus (A \smallsetminus B) = A \cap B$
75863
how to prove $f^{-1}(B_1 \cap B_2) = f^{-1}(B_1) \cap f^{-1}(B_2)$
106927
How do I prove $[G:H\cap K]\leq [G:H][G:K]$?
77361
How to prove $|H|[K:K \cap (g^{-1}Hg)]=|K|[H:H \cap (gKg^{-1})]$?