Description: Obsolete version of 0fi as of 13-Jan-2025. (Contributed by FL, 14-Jul-2008) (Proof modification is discouraged.) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | 0finOLD | ⊢ ∅ ∈ Fin |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | peano1 | ⊢ ∅ ∈ ω | |
2 | ssid | ⊢ ∅ ⊆ ∅ | |
3 | ssnnfi | ⊢ ( ( ∅ ∈ ω ∧ ∅ ⊆ ∅ ) → ∅ ∈ Fin ) | |
4 | 1 2 3 | mp2an | ⊢ ∅ ∈ Fin |