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
▼ Empty map
Definition D4474
Canonical empty map
Formulation 0
A D1104: Binary relation structure $M = (X \times Y, f)$ is a canonical empty map if and only if
(1) $X = \emptyset$
(2) $Y = \emptyset$