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 ) |
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 | ffvelrnda | |- ( ( F e. B /\ X e. A ) -> ( F ` X ) e. A ) |