| Description: Define the range of a
class. For example,
𝐹 =
{〈2, 6〉, 〈3, 9〉} → ran 𝐹 = {6, 9} (ex-rn 31041).
Contrast with domain (defined in df-dm 5660). For alternate definitions,
see dfrn2 5869, dfrn3 5870, and dfrn4 6196. The notation "ran " is used
by Enderton. The range of a function is often also called "the
image of
the function" (see definition in [Lang] p. ix), which can be justified
by imadmrn 6066. Not to be confused with
"codomain" (see df-f 6542), which
may be a superset/superclass of the range (see frn 6717).
(Contributed by
NM, 1-Aug-1994.) |