PE Home bfol.mm Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  PE Home  >  Th. List  >  nfrthm-P8

Theorem nfrthm-P8 1107
Description: Every Variable is ENF in a Theorem.

This is the restatement of a previously proven result. Do not use in proofs. Use nfrthm-P7 926 instead.

Hypothesis
Ref Expression
nfrthm-P8.1 𝜑
Assertion
Ref Expression
nfrthm-P8 𝑥𝜑

Proof of Theorem nfrthm-P8
StepHypRef Expression
1 nfrthm-P8.1 . 2 𝜑
21nfrthm-P7 926 1 𝑥𝜑
Colors of variables: wff objvar term class
Syntax hints:  wff-nfree 681
This theorem was proved from axioms:  ax-L1 11  ax-L2 12  ax-L3 13  ax-MP 14  ax-GEN 15  ax-L4 16  ax-L5 17  ax-L6 18  ax-L7 19  ax-L12 29
This theorem depends on definitions:  df-bi-D2.1 107  df-and-D2.2 133  df-or-D2.3 145  df-true-D2.4 155  df-rcp-AND3 161  df-exists-D5.1 596  df-nfree-D6.1 682
This theorem is referenced by: (None)
  Copyright terms: Public domain W3C validator