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