ThmDex – An index of mathematical definitions, results, and conjectures.
F13424
Formulation 1
Let $x \in \mathbb{R}$ be a D993: Real number such that
(i) \begin{equation} x = \sqrt{2} \end{equation}
Then
(1) $x$ is an D1243: Irrational number
(2) \begin{equation} \sqrt{2} \sqrt{2} = 2 \end{equation}