Proving a set identity: $\left(\bigcap A_\alpha\right)^c = \bigcup A_{\alpha}^c$
29214
Infinite DeMorgan laws
33524
Prove the following $A \setminus (B\setminus C) = (A\setminus B)\cap (A \cup C)$
103441
Proving $(A\cup B)\cap(B\cup C)\cap(C\cup A)=(A\cap B)\cup (A\cap C)\cup (B\cap C)$?
104274
Express $C$ interms of the sets $A_n$
102917
Proving statement - $(A \setminus B) \cup (A \setminus C) = B\Leftrightarrow A=B , C\cap B=\varnothing$
39708
Proving $(A\le B)\vee (B\le A)$ for sets $A$ and $B$
119628
Proving an identity relating to the complex modulus: $z\bar{a}+\bar{z}a \leq 2|a||z|$
91829
Prove $(ah,bk)=(a,b)(h,k)\left(\frac{a}{(a,b)},\frac{k}{(h,k)}\right)\left(\frac{b}{(a,b)},\frac{h}{(h,k)}\right)$
140446
Prove that $A \smallsetminus (A \smallsetminus B) = A \cap B$
89429
Prove $\sup \left| f'\left( x\right) \right| ^{2}\leqslant 4\sup \left| f\left( x\right) \right| \sup \left| f''\left( x\right) \right| $
79165
How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$
144266
set theory proof of $A\cap B = A \setminus(A\setminus B)$
89234
Any Set with Associativity, Left Identity, Left Inverse is a Group
138199
Proof explanation $A\setminus B = A \setminus B \cap A$
137707
How to prove that $(A\cup B) \cap C \subseteq A\cup (B\cap C)$
67709
Stuck with proof for $\forall A\forall B(\mathcal{P}(A)\cup\mathcal{P}(B)=\mathcal{P}(A\cup B)\rightarrow A\subseteq B \vee B\subseteq A)$
73892
Prove $Σ_{cyc}\frac{1}{\left(a+1\right)^2}+\frac{1}{a+b+c+1}\ge 1$