Theorem nftru 1352

Description: The true constant has no free variables. (This can also be proven in one step with nfv 1418, but this proof does not use ax-17 1416.) (Contributed by Mario Carneiro, 6-Oct-2016.)

Assertion

Ref	Expression
nftru	|- F/x T.

Proof of Theorem nftru

Step	Hyp	Ref	Expression
1		tru 1246	. 2 |- T.
2	1	nfth 1350	1 |- F/x T.

Syntax hints:   T. wtru 1243   F/wnf 1346

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 1335

This theorem depends on definitions:  df-bi 110  df-tru 1245  df-nf 1347

This theorem is referenced by:  nfmo  1917  dvelimc  2195  nfralxy  2354  nfrexxy  2355  nfralya  2356  nfrexya  2357  nfreuxy  2478  nfsbc  2778  nfcsb  2878  nfiotaxy  4814  nfriota  5420