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Theorem nftru 1371
Description: The true constant has no free variables. (This can also be proven in one step with nfv 1437, but this proof does not use ax-17 1435.) (Contributed by Mario Carneiro, 6-Oct-2016.)
Assertion
Ref Expression
nftru  |-  F/ x T.

Proof of Theorem nftru
StepHypRef Expression
1 tru 1263 . 2  |- T.
21nfth 1369 1  |-  F/ x T.
Colors of variables: wff set class
Syntax hints:   T. wtru 1260   F/wnf 1365
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 103  ax-ia2 104  ax-ia3 105  ax-gen 1354
This theorem depends on definitions:  df-bi 114  df-tru 1262  df-nf 1366
This theorem is referenced by:  nfmo  1936  dvelimc  2214  nfralxy  2377  nfrexxy  2378  nfralya  2379  nfrexya  2380  nfreuxy  2501  nfsbc  2807  nfcsb  2912  nfiotaxy  4899  nfriota  5505
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