Description: The monoid of endofunctions on n objects has cardinality n ^ n . (Contributed by AV, 27-Jan-2024)
Ref | Expression | ||
---|---|---|---|
Hypotheses | efmndbas.g | No typesetting found for |- G = ( EndoFMnd ` A ) with typecode |- | |
efmndbas.b | |||
Assertion | efmndhash |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | efmndbas.g | Could not format G = ( EndoFMnd ` A ) : No typesetting found for |- G = ( EndoFMnd ` A ) with typecode |- | |
2 | efmndbas.b | ||
3 | 1 2 | efmndbas | |
4 | 3 | a1i | |
5 | 4 | fveq2d | |
6 | hashmap | ||
7 | 6 | anidms | |
8 | 5 7 | eqtrd |