ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  nftru Unicode version

Theorem nftru 1459
Description: The true constant has no free variables. (This can also be proven in one step with nfv 1521, but this proof does not use ax-17 1519.) (Contributed by Mario Carneiro, 6-Oct-2016.)
Assertion
Ref Expression
nftru  |-  F/ x T.

Proof of Theorem nftru
StepHypRef Expression
1 tru 1352 . 2  |- T.
21nfth 1457 1  |-  F/ x T.
Colors of variables: wff set class
Syntax hints:   T. wtru 1349   F/wnf 1453
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-gen 1442
This theorem depends on definitions:  df-bi 116  df-tru 1351  df-nf 1454
This theorem is referenced by:  nfmo  2039  dvelimc  2334  nfralw  2507  nfralxy  2508  nfrexxy  2509  nfralya  2510  nfrexya  2511  nfreuxy  2644  nfsbc  2975  nfcsbw  3085  nfcsb  3086  nfiotaw  5164  nfriota  5818  nfixpxy  6695
  Copyright terms: Public domain W3C validator