Theorem nfa1OLD 2143

Description: Obsolete proof of nfa1 2015 as of 12-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) df-nf 1701 changed. (Revised by Wolf Lammen, 11-Sep-2021.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
nfa1OLD	⊢ Ⅎ𝑥∀𝑥𝜑

Proof of Theorem nfa1OLD

Step	Hyp	Ref	Expression
1		hba1 2137	. 2 ⊢ (∀𝑥𝜑 → ∀𝑥∀𝑥𝜑)
2	1	nf5i 2011	1 ⊢ Ⅎ𝑥∀𝑥𝜑

Syntax hints:  ∀wal 1473  Ⅎwnf 1699

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713  ax-4 1728  ax-5 1827  ax-6 1875  ax-7 1922  ax-10 2006  ax-12 2034

This theorem depends on definitions:  df-bi 196  df-or 384  df-ex 1696  df-nf 1701

This theorem is referenced by: (None)