Theorem nftru 1466

Description: The true constant has no free variables. (This can also be proven in one step with nfv 1528, but this proof does not use ax-17 1526.) (Contributed by Mario Carneiro, 6-Oct-2016.)

Assertion

Ref	Expression
nftru	⊢ Ⅎ𝑥⊤

Proof of Theorem nftru

Step	Hyp	Ref	Expression
1		tru 1357	. 2 ⊢ ⊤
2	1	nfth 1464	1 ⊢ Ⅎ𝑥⊤

Syntax hints:  ⊤wtru 1354  Ⅎwnf 1460

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-gen 1449

This theorem depends on definitions:  df-bi 117  df-tru 1356  df-nf 1461

This theorem is referenced by:  nfmo  2046  dvelimc  2341  nfralw  2514  nfralxy  2515  nfrexxy  2516  nfralya  2517  nfrexya  2518  nfreuxy  2651  nfsbc  2983  nfcsbw  3093  nfcsb  3094  nfiotaw  5182  nfriota  5839  nfixpxy  6716