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

Theorem nfvOLD 1858
Description: Obsolete proof of nfv 1830 as of 5-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
nfvOLD 𝑥𝜑
Distinct variable group:   𝜑,𝑥

Proof of Theorem nfvOLD
StepHypRef Expression
1 ax-5 1827 . 2 (𝜑 → ∀𝑥𝜑)
21nfiOLD 1725 1 𝑥𝜑
Colors of variables: wff setvar class
Syntax hints:  wnfOLD 1700
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1713  ax-5 1827
This theorem depends on definitions:  df-bi 196  df-nfOLD 1712
This theorem is referenced by:  nfvdOLD  1859
  Copyright terms: Public domain W3C validator