ThmDex – An index of mathematical definitions, results, and conjectures.
F9311
Formulation 0
Let $X = \{ 0, 1 \}^{\mathbb{N}}$ be the D12: Set of boolean standard sequences such that
(i) $x : \mathbb{N} \to X$ is a D62: Sequence in $X$
(ii) $z : \mathbb{N} \to \{ 0, 1 \}$ is a D5362: Boolean Cantor diagonal sequence with respect to $x$
Then \begin{equation} \forall \, n \in \mathbb{N} : x_n \neq z \end{equation}