Prove the first absorption law by showing that if A and B are sets, then A ∪ (A ∩ B) = A
10107
Prove $A\cup (A\cap B) = A$
60707
Show that if $ \ A \cup B = A$ and $ \ A\cap B = A$ then $ \ A = B$
64320
Prove that if $0<a<Pr(A)$ then there exists $B\subset A$ such that $Pr(B)=a$
112084
Proof of a formula for the power set of a union of two sets
27899
Can we prove the existence of $A\cup B$ without the union axiom?
145058
Prove $ (A \cup B) \cap C$ = $(A \cap C) \cup (B \cap C) $
95935
Prove A = $(A \cap B) \cup (A \cap B^c)$ using the distributive and associative law.
155929
Let $A, B$ be sets. Show that $\mathcal P(A ∩ B) = \mathcal P(A) ∩ \mathcal P(B)$.
135694
Proving $\kappa^{\lambda} = |\{X: X \subseteq \kappa, |X|=\lambda\}|$
138199
Proof explanation $A\setminus B = A \setminus B \cap A$
7416
Let $ A $, $ B $ and $ C $ be sets. If $ A \cup B = A \cup C $ and $ A \cap B = A \cap C $, then show that $ B = C $.
131983
Prove that $A \subset B$ if and only if $A \setminus B = \emptyset$
66948
Proving question on sets
90434
Prove for every two sets $A$ and $B$ that $A-B$, ${B-A}$ and $A \cap B$ are pairwise disjoint.
115649
Proving two sets $A, B$ are order isomorphic
68918
Show that $A\cap B\subseteq A$ and $A\subseteq A\cup B$
109070
Question about the proof of the distributive property for sets