ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Map graph
Map supergraph
Definition D3045
Map strict supergraph
Formulation 0
Let $P = (Y, {\preceq})$ be a D1103: Partially ordered set.
Let $f : X \to Y$ be a D18: Map.
The strict supergraph of $f$ with respect to $P$ is the D11: Set \begin{equation} \{ (x, y) \in X \times Y : y \succ f(x) \} \end{equation}