Prove that $int(A) = (cl(A^c))^c$
73338
Prove that the closure of complement, is the complement of the interior
45555
$(x+y)^c\le x^c+y^c$ for $0<c\le1$
61066
Prove: $(A\rightarrow B),(A\rightarrow C)\rightarrow B, \mapsto_{HPC} B $
30835
Logarithm proof problem: $a^{\log_b c} = c^{\log_b a}$
60900
If $A^2=-I$, Prove that $\det{A}=1$
136721
Absolute value of a complex number proof
58832
How prove this $\int_{a}^{b}[f''(x)]^2dx\ge\dfrac{4}{b-a}$
51321
Prove that $A = B = C = D$
43913
Prove that if $A^*+A=AA^*$ then $A$ is normal
123195
Prove by induction that a^n+a^-n is an integer.
70311
Trying to prove (A ∩ B) − C = (A − C) ∩ (B − C)
90670
Prove $a^ab^bc^c\ge (abc)^{\frac{a+b+c}3}$ for positive numbers.
12954
Prove if $ac>bc$ and $c>0$, then $a>b$
25258
Prove that if $ a,b,c > 0 $, then $ [(1 + a) (1 + b) (1 + c)]^{7} > 7^{7} (a^{4} b^{4} c^{4}) $.
69673
Prove that $\left (\frac{a^2 + b^2 +c^2}{a+b+c} \right) ^ {(a+b+c)} > a^a b^b c^c$
55018
Prove that $A^*A + I$ is invertible
154264
$f \in C[-1,1]$, Prove ${\lim_{h \to 0^+}}{\int_{-1}^1 \frac{h}{h^2+x^2}f(x)\,dx} = \pi f(0)$