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 ) |
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 ) |