Metamath Proof Explorer


Theorem 0finOLD

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

Proof

Step Hyp Ref Expression
1 peano1 ∅ ∈ ω
2 ssid ∅ ⊆ ∅
3 ssnnfi ( ( ∅ ∈ ω ∧ ∅ ⊆ ∅ ) → ∅ ∈ Fin )
4 1 2 3 mp2an ∅ ∈ Fin