Theorem nftru 1554

Description: The true constant has no free variables. (This can also be proven in one step with nfv 1619, but this proof does not use ax-17 1616.) (Contributed by Mario Carneiro, 6-Oct-2016.)

Assertion

Ref	Expression
nftru	⊢ Ⅎx ⊤

Proof of Theorem nftru

Step	Hyp	Ref	Expression
1		tru 1321	. 2 ⊢ ⊤
2	1	nfth 1553	1 ⊢ Ⅎx ⊤

Syntax hints:   ⊤ wtru 1316  Ⅎwnf 1544

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1546

This theorem depends on definitions:  df-bi 177  df-tru 1319  df-nf 1545

This theorem is referenced by:  sbie  2038  nfeu  2220  nfmo  2221  dvelimc  2510  nfral  2667  nfreu  2785  nfrmo  2786  nfrab  2792  nfsbc  3067  nfcsb  3170  nfiota  4343