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Theorem nftru 1335
Description: The true constant has no free variables. (This can also be proven in one step with nfv 1402, but this proof does not use ax-17 1400.) (Contributed by Mario Carneiro, 6-Oct-2016.)
Assertion
Ref Expression
nftru x

Proof of Theorem nftru
StepHypRef Expression
1 tru 1232 . 2
21nfth 1333 1 x
Colors of variables: wff set class
Syntax hints:  wtru 1229  wnf 1329
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-gen 1318
This theorem depends on definitions:  df-bi 110  df-tru 1231  df-nf 1330
This theorem is referenced by:  nfmo  1902  dvelimc  2180  nfralxy  2338  nfrexxy  2339  nfralya  2340  nfrexya  2341  nfreuxy  2462  nfsbc  2761  nfcsb  2861  nfiotaxy  4798  nfriota  5401
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