Theorem fexafv2ex

Description: The alternate function value is always a set if the function (resp. the domain of the function) is a set. (Contributed by AV, 3-Sep-2022)

	Ref	Expression
Assertion	fexafv2ex	|- ( F e. V -> ( F '''' A ) e. _V )

Proof

Step	Hyp	Ref	Expression
1		rnexg	|- ( F e. V -> ran F e. _V )
2		afv2ex	|- ( ran F e. _V -> ( F '''' A ) e. _V )
3	1 2	syl	|- ( F e. V -> ( F '''' A ) e. _V )