prove that P(N) is equivalent to R
41052
The set of real numbers and power set of the natural numbers
77193
Verify that R(p,2) = R(2,p) = p, where R is the Ramsey number
48792
Prove $p_n(x) \rightarrow \sqrt{x}$ uniformly as $n \rightarrow \infty$
90055
Show that $\mathcal P(x)\notin x$
32009
Prove $\;\big((p\rightarrow q) \lor (p \rightarrow r)\big) \rightarrow (q\lor r)\equiv p \lor q \lor r$ without use of a truth table.
4610
Proving an identity with a combinatorial proof: $\binom{n}{k}\binom{k}{r}=\binom{n}{r}\binom{n-r}{k-r}$
150987
Showing that the product and metric topology on $\mathbb{R}^n$ are equivalent
82591
Prove $(x+r_1) \cdots (x+r_n) \geq (x+(r_1 \cdots r_n)^{1/n})^{n}$.
49771
Prove that $\sum\limits_{k=0}^r\binom{n+k}k=\binom{n+r+1}r$ using combinatoric arguments.
18195
Understanding of the theorem that all norms are equivalent in finite dimensional vector spaces
135446
Proof that the probability of one RV being larger than $n-1$ others is $\frac{1}{n}$
55340
Prove that $r^n/n!$ converges where $n\ge r$
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
129304
Alternative combinatorial proof for $\sum\limits_{r=0}^n\binom{n}{r}\binom{m+r}{n}=\sum\limits_{r=0}^n\binom{n}{r}\binom{m}{r}2^r$
20736
Prove the relation $R$ in $N \times N$ defined by $(a,b) \simeq (c,d)$ iff $ad=bc$ is an equivalence relation.
65168
Proof of sequence inequality
128093
Regarding the values that n and r can take in $\binom{n}{r}$