ThmDex – An index of mathematical definitions, results, and conjectures.
F9302
Formulation 0
Let $X$ be a D11: Set such that
(i) $\mathcal{P}(X)$ is the D80: Power set of $X$
Let $f : X \to \mathcal{P}(X)$ be a D18: Map such that
(i) \begin{equation} f(x) : = \{ x \} \end{equation}
Then $f$ is an D467: Injective map from $X$ to $Y$.