Description: The empty set is in any power set, and it's finite. (Contributed by Glauco Siliprandi, 17-Aug-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | 0pwfi | |- (/) e. ( ~P A i^i Fin ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 0elpw | |- (/) e. ~P A |
|
2 | 0fin | |- (/) e. Fin |
|
3 | 1 2 | elini | |- (/) e. ( ~P A i^i Fin ) |