Show that $\left(\bigcup_{i \in I}A_{i}\right )^{c}=\bigcap_{i \in I}A_{i}^{c}$
30770
Prove that $C\left(\bigcup_{\alpha\in I} A_\alpha\right)=\bigcap_{\alpha\in I}C\left(A_\alpha\right)$
45742
Prove that ${\left(\frac{x+1}{2}\right)}^{x+1} \leq x^x$
80876
Proof of $A\cap(B\cup C) = (A\cap B)\cup(A\cap C)$
155579
Show that $End_A(A)$ = {$r_a$ | $a ∈ A$}
54427
$\left|x_{n+1} - x_n\right| < C\left|x_n - x_{n-1}\right|$ prove this is Cauchy
26766
Proving : $A \cap (B-C) = (A \cap B) - (A \cap C)$
140446
Prove that $A \smallsetminus (A \smallsetminus B) = A \cap B$
26302
Prove that $(X \cap Y) \cup Z = (X \cup Z) \cap (Y \cup Z)$
124424
How to show that there is a deduction of $\varphi\leftrightarrow\psi$
127720
Prove that $\bigcup_{n \in \Bbb{N}} [1/n,1] = (0,1]$.
47434
Proof that $A \subseteq B \Leftrightarrow A \cup B = B$
966
Show that $\lim_{n\rightarrow \infty} \sqrt[n]{c_1^n+c_2^n+\ldots+c_m^n} = \max\{c_1,c_2,\ldots,c_m\}$
141852
Prove that $2\int_a^b \int_a^x f(x)f(y) \, dy \, dx = \left[ \int_a^b f(x) \, dx \right]^2$
34017
Show that $n^{\pi\left(2n\right)-\pi\left(n\right)}2$
73892
Prove $Σ_{cyc}\frac{1}{\left(a+1\right)^2}+\frac{1}{a+b+c+1}\ge 1$
75604
Proof that $\partial(A\times B) = ((\partial A)\times B)\cup (A\times(\partial B))$
27784
Proving that $\left(\mathbb Q[\sqrt p_1,\dots,\sqrt p_n]:\mathbb Q\right)=2^n$ for distinct primes $p_i$.