If $P(B\text{ }|\text{ }A)=1-\epsilon$ and $P(C\text{ }|\text{ }B)=1$ then $P(C\text{ }|\text{ }A)\geq 1-\epsilon$
65534
Given $P(B\mid A)=1-\varepsilon$ for some $0<\varepsilon<1$ and $P(C\mid B)=1$, prove that $P(C\mid A)≥1-\varepsilon$
52880
Intuition: If $a\leq b+\epsilon$ for all $\epsilon>0$ then $a\leq b$?
42150
Prove that $\forall x \neg P(x) \iff \neg \exists x P(x)$
113411
If $E$ is generated by $E_1$ and $E_2$, then $[E:F]\leq [E_1:F][E_2:F]$?
122326
Proving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$
14221
How can we prove it? ${a}{b}≤\frac{a^p}{p}+\frac{b^q}{q}$
67483
Show that $|a-b|<\epsilon \Rightarrow |a|<|b|+\epsilon$
144693
Show that if $B \subseteq C$, then $\mathcal{P}(B) \subseteq \mathcal{P}(C)$
54791
Is it true or false that $\lvert P([0, 1]) \setminus P((0, 1)) \rvert > \lvert P(\mathbb{N}) \rvert$
20816
Inequalities with assumptions and constraints
27368
(Verification) $C \approxeq A$ or $C \approxeq \text{section of } A$ $\forall C$ s.t. $C \subset A$
23869
Prove the implication "if $ac>bc$ and $c>0$, then $a>b$" using the contrapositive
28822
$|x| - |y| \leq |x-y|?$
98662
$P(|X|\ge\lambda a)\ge (1-\lambda)^2a^2$ for $0\le \lambda \le 1$
130998
Is $\exists x \in A ~:~ P(x)$ the same as $\exists x ~:~ x \in A \implies P(x)$
44403
Prove that $|a+b|^p \leq 2^p \{ |a|^p +|b|^p \}$
109778
Proving $(x-c)|(p(x)-p(c))$