Proof on sets $(A\cap B)\cup(A\cap \bar{B}) = A$
46240
Show that if $A$ and $B$ are sets, then $(A\cap B) \cup (A\cap \overline{B})=A$.
140440
Proving $(A\times C)\cup(B\times D)\subseteq(A\cup B)\times(C\cup D)$
9268
Proving that the Union of Two Compact Sets is Compact
118239
If $A, B, C$ are sets prove that $(A\setminus B)\setminus C\subseteq A\setminus(B\setminus C)$
52135
Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$
112084
Proof of a formula for the power set of a union of two sets
90434
Prove for every two sets $A$ and $B$ that $A-B$, ${B-A}$ and $A \cap B$ are pairwise disjoint.
138069
Proof that $\bigcap_{a\in A} \bigg(\, \bigcup_{b\in B} F_{a,b} \, \bigg) = \bigcup_{f\in ^AB} \bigg(\, \bigcap_{a \in A} F_{a,f(a)}\,\bigg) $
27899
Can we prove the existence of $A\cup B$ without the union axiom?
77286
Proving set theory question
151295
Proving $|S \times \mathbb{N}|=|S|$ when $S$ is an infinite set
144360
For any sets $A$ and $B$, show that $(B\smallsetminus A)\cup A=B \iff A\subseteq B$.
33524
Prove the following $A \setminus (B\setminus C) = (A\setminus B)\cap (A \cup C)$
137707
How to prove that $(A\cup B) \cap C \subseteq A\cup (B\cap C)$
120094
Prove, that for any A, B, C sets, $A\times (B\setminus C) = (A\times B)\setminus (A\times C)$ is true.
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
5132
Given $A\cap \overline{B}\neq \emptyset$, prove $A\cup B$ connected.