Theorem nfnthOLD 1727

Description: Obsolete proof of nfnth 1719 as of 6-Oct-2021. (Contributed by Mario Carneiro, 6-Dec-2016.) (Proof modification is discouraged.) (New usage is discouraged.)

Hypothesis

Ref	Expression
nfnthOLD.1	⊢ ¬ 𝜑

Assertion

Ref	Expression
nfnthOLD	⊢ Ⅎ𝑥𝜑

Proof of Theorem nfnthOLD

Step	Hyp	Ref	Expression
1		nfnthOLD.1	. . 3 ⊢ ¬ 𝜑
2	1	pm2.21i 115	. 2 ⊢ (𝜑 → ∀𝑥𝜑)
3	2	nfiOLD 1725	1 ⊢ Ⅎ𝑥𝜑

Syntax hints:  ¬ wn 3  ∀wal 1473  ℲwnfOLD 1700

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713

This theorem depends on definitions:  df-bi 196  df-nfOLD 1712

This theorem is referenced by: (None)