Prove that $2^\mathbb{N}$ is equinumerous to $\mathbb{R}$
62755
The simplest way of proving that $|\mathcal{P}(\mathbb{N})| = |\mathbb{R}| = c$
56464
Proving the irrationality of $e^n$
3543
Prove set is basis for $R^3$
29065
Encode each $n_1,n_2,n_3,...∈N^N$ by an inﬁnite sequence of 0s and 1s with inﬁnitely many 0s, and give a proof that $N^N$ is equinumerous with $R$.
132386
Show that $(\mathbb{Q}^*,\cdot)$ and $(\mathbb{R}^*,\cdot)$ aren't cyclic
110353
Is $\mathbb{R}^n$ a polyhedron?
69875
Prove the commutativity property of addition of natural numbers by induction
49953
Proving that a function from $N\times N$ to $N$ is bijective.
20964
Proof that $n^2 < 2^n$
61103
Prove that $\mathbb{|Q| = |Q\times Q|}$
94580
Prove that, $\binom{3n}{r}=\binom{3n-1}{r} + \binom{3n-1}{r-1}$
42883
Cross product in $\mathbb R^n$
88051
$\mathbb R = X^2$ as a Cartesian product
109643
Prove that every isometry on $\mathbb{R}^2$ is bijective
133017
Prove that $n^n>1\times3\times5\times7\times \dots\times(2n-1)$
78263
Prove $GL_n(\Bbb{R})/SL_n(\Bbb{R}) \cong \Bbb{R}^\times$
41846
$(\mathbb{R}^n,\|\cdot\|_{p})$ is isometrically isomorphic to $(\mathbb{R}^n,\|\cdot\|_{q})$ iff $p=q,$