MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  nfa1OLD Structured version   Visualization version   GIF version

Theorem nfa1OLD 2332
Description: Obsolete proof of nfa1 2194 as of 12-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) df-nf 1864 changed. (Revised by Wolf Lammen, 11-Sep-2021.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
nfa1OLD 𝑥𝑥𝜑

Proof of Theorem nfa1OLD
StepHypRef Expression
1 hba1 2326 . 2 (∀𝑥𝜑 → ∀𝑥𝑥𝜑)
21nf5i 2189 1 𝑥𝑥𝜑
Colors of variables: wff setvar class
Syntax hints:  wal 1635  wnf 1863
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1877  ax-4 1894  ax-5 2001  ax-6 2067  ax-7 2103  ax-10 2184  ax-12 2213
This theorem depends on definitions:  df-bi 198  df-or 866  df-ex 1860  df-nf 1864
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator