proving Power Set Difference $P(A-B) \neq P(A)-P(B)$
63148
Power Set Difference Proof P(A-B)=P(A)-P(B)
26572
Does the Symmetric difference operator define a group on the powerset of a set?
145966
Find $P(A\ xor\ B\ |\ A\ \cup\ B)$
64586
How to prove that $\neg((A\cap B)\cup (\neg A \cap C)) = (A\cap\neg B)\cup (\neg A\cap \neg C)$
77026
Proof with inequalities
37183
Show that the set of all $x$ such that $x \in P$ and $x \notin Q$ exists
4776
Prove that the power set of an $n$-element set contains $2^n$ elements
83996
For any two sets $A,B$ , $|A|\leq|B|$ or $|B|\leq|A|$
125868
Prove $a \equiv b \pmod{c} \implies a^n \equiv b^n \pmod{c}$.
124742
P(A|C)=P(A|B)*P(B|C)?
76696
Using induction to prove $2^{n-1}(1 + a_1a_2\ldots a_n) \geq (1+a_1)(1+a_2)\ldots(1+a_n)$ for $a_i \geq 1$
14221
How can we prove it? ${a}{b}≤\frac{a^p}{p}+\frac{b^q}{q}$
18634
Combinations of sets raised to the power of a prime modulus: $\binom{p^{\alpha}-1}k \equiv (-1)^k \pmod p$
83714
$A \in B$ vs. $A \subset B$ for proofs
65534
Given $P(B\mid A)=1-\varepsilon$ for some $0<\varepsilon<1$ and $P(C\mid B)=1$, prove that $P(C\mid A)≥1-\varepsilon$
137511
Trying to show that $\sup \{b^p:p\in Q,\;0<p<x\} = \inf\{b^q:q\in Q,\;x<q\}$
100726
Prove that the set of powers of a set, $\{ A^n : n \in \mathbb{N} \}$ exists by using ZFC axioms (without replacement).