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