Theorem fabex

Description: Existence of a set of functions. (Contributed by NM, 3-Dec-2007)

	Ref	Expression
Hypotheses	fabex.1	|- A e. _V
	fabex.2	|- B e. _V
	fabex.3	|- F = { x | ( x : A --> B /\ ph ) }
Assertion	fabex	|- F e. _V

Proof

Step	Hyp	Ref	Expression
1		fabex.1	|- A e. _V
2		fabex.2	|- B e. _V
3		fabex.3	|- F = { x | ( x : A --> B /\ ph ) }
4	3	fabexg	|- ( ( A e. _V /\ B e. _V ) -> F e. _V )
5	1 2 4	mp2an	|- F e. _V