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
Definition D362
Inverse binary relation
Formulation 0
Let $B_R = (X \times Y, R)$ be a D4: Binary relation.
An D548: Ordered pair $B_S = (X \times Y, S)$ is an inverse of $B$ if and only if \begin{equation} S = \{ (y, x) : (x, y) \in R \} \end{equation}
Children
Inverse map