Theorem efmndbasf

Description: Elements in the monoid of endofunctions on A are functions from A into itself. (Contributed by AV, 27-Jan-2024)

	Ref	Expression
Hypotheses	efmndbas.g	|- G = ( EndoFMnd ` A )
	efmndbas.b	|- B = ( Base ` G )
Assertion	efmndbasf	|- ( F e. B -> F : A --> A )

Proof

Step	Hyp	Ref	Expression
1		efmndbas.g	|- G = ( EndoFMnd ` A )
2		efmndbas.b	|- B = ( Base ` G )
3	1 2	elefmndbas2	|- ( F e. B -> ( F e. B <-> F : A --> A ) )
4	3	ibi	|- ( F e. B -> F : A --> A )