Theorem frn

Description: The range of a mapping. (Contributed by NM, 3-Aug-1994)

	Ref	Expression
Assertion	frn	$$⊢F:A⟶B\to \mathrm{ran}F\subseteq B$$

Proof

Step	Hyp	Ref	Expression
1		df-f	$$⊢F:A⟶B\leftrightarrow \left(FFnA\wedge \mathrm{ran}F\subseteq B\right)$$
2	1	simprbi	$$⊢F:A⟶B\to \mathrm{ran}F\subseteq B$$