ThmDex – An index of mathematical definitions, results, and conjectures.
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Deduction system
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Zermelo-Fraenkel set theory
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Binary cartesian set product
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Map inverse image
Definition D2947
Level set
Formulation 0
Let $f : X \to Y$ be a D18: Map.
The level set of $f$ with respect to $y \in Y$ is the D11: Set \begin{equation} \{ f = y \} : = \{ x \in X : f(x) = y \} \end{equation}
Children
Sublevel set
Superlevel set