Metamath Proof Explorer


Theorem ral0OLD

Description: Obsolete version of ral0 as of 2-Sep-2024. (Contributed by NM, 20-Oct-2005) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion ral0OLD 𝑥 ∈ ∅ 𝜑

Proof

Step Hyp Ref Expression
1 noel ¬ 𝑥 ∈ ∅
2 1 pm2.21i ( 𝑥 ∈ ∅ → 𝜑 )
3 2 rgen 𝑥 ∈ ∅ 𝜑