Theorem nfa1OLD 2305

Description: Obsolete proof of nfa1 2178 as of 12-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) df-nf 1859 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 2299	. 2 ⊢ (∀𝑥𝜑 → ∀𝑥∀𝑥𝜑)
2	1	nf5i 2174	1 ⊢ Ⅎ𝑥∀𝑥𝜑

Syntax hints:  ∀wal 1630  Ⅎwnf 1857

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1871  ax-4 1886  ax-5 1989  ax-6 2055  ax-7 2091  ax-10 2169  ax-12 2197

This theorem depends on definitions:  df-bi 197  df-or 384  df-ex 1854  df-nf 1859

This theorem is referenced by: (None)