Prove $2^{(A \cup B)}=\left\{ X\cup Y| X\in 2^A, Y\in 2^B\right\}$ for sets $A,B$.
112084
Proof of a formula for the power set of a union of two sets
13253
Prove $f(S \cup T) = f(S) \cup f(T)$
65297
Proof that for $a,b,c\in \mathbb{R}$, hold that $\left |\sqrt {a^2+b^2}-\sqrt {a^2+c^2} \right |\leq \left |b-c \right |$.
50159
How to prove if $\Bbb R^n=W_1\cup W_2\cup \cdots\cup $ where each $W_k$ is a subspace, then $\Bbb R^n=W_i$ holds for some $i$
63148
Power Set Difference Proof P(A-B)=P(A)-P(B)
54369
Proof of $n^2 \leq 2^n$.
152817
Proving $\sup B=\inf A$
95935
Prove A = $(A \cap B) \cup (A \cap B^c)$ using the distributive and associative law.
75604
Proof that $\partial(A\times B) = ((\partial A)\times B)\cup (A\times(\partial B))$
148234
Express set $[a,b] \cup [c,d]$ as the difference of two intervals
102917
Proving statement - $(A \setminus B) \cup (A \setminus C) = B\Leftrightarrow A=B , C\cap B=\varnothing$
140440
Proving $(A\times C)\cup(B\times D)\subseteq(A\cup B)\times(C\cup D)$
80876
Proof of $A\cap(B\cup C) = (A\cap B)\cup(A\cap C)$
78763
Prove that $ S=\{0\}\cup\left(\bigcup_{n=0}^{\infty} \{\frac{1}{n}\}\right)$ is a compact set in $\mathbb{R}$.
1409
Proving that the given set has at most $2^{n-1}$ elements
149553
Is it always true that $(A_1 \cup A_2) \times (B_1 \cup B_2)=(A_1\times B_1) \cup (A_2 \times B_2)$
48081
Prove that for all $n \in \mathbb{N}$: $2^{n-1}(a^n + b^n) \ge (a + b)^n$