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Theorem nfth 1798
Description: No variable is (effectively) free in a theorem. (Contributed by Mario Carneiro, 11-Aug-2016.) df-nf 1781 changed. (Revised by Wolf Lammen, 12-Sep-2021.)
Hypothesis
Ref Expression
nfth.1 𝜑
Assertion
Ref Expression
nfth 𝑥𝜑

Proof of Theorem nfth
StepHypRef Expression
1 nftht 1789 . 2 (∀𝑥𝜑 → Ⅎ𝑥𝜑)
2 nfth.1 . 2 𝜑
31, 2mpg 1794 1 𝑥𝜑
Colors of variables: wff setvar class
Syntax hints:  wnf 1780
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1792
This theorem depends on definitions:  df-bi 209  df-nf 1781
This theorem is referenced by:  nftru  1801  nfequid  2016  rabeqi  3483  sbc2ie  3850  iunxdif3  5010  infcvgaux1i  15206  exnel  33042  ellimcabssub0  41890
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