Theorem efmndfv

Description: The function value of an endofunction. (Contributed by AV, 27-Jan-2024)

	Ref	Expression
Hypotheses	efmndbas.g	|- G = ( EndoFMnd ` A )
	efmndbas.b	|- B = ( Base ` G )
Assertion	efmndfv	|- ( ( F e. B /\ X e. A ) -> ( F ` X ) e. A )

Proof

Step	Hyp	Ref	Expression
1		efmndbas.g	|- G = ( EndoFMnd ` A )
2		efmndbas.b	|- B = ( Base ` G )
3	1 2	efmndbasf	|- ( F e. B -> F : A --> A )
4	3	ffvelcdmda	|- ( ( F e. B /\ X e. A ) -> ( F ` X ) e. A )