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Mirrors > Home > ILE Home > Th. List > nftru | Unicode version |
Description: The true constant has no free variables. (This can also be proven in one step with nfv 1508, but this proof does not use ax-17 1506.) (Contributed by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
nftru |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tru 1335 | . 2 | |
2 | 1 | nfth 1440 | 1 |
Colors of variables: wff set class |
Syntax hints: wtru 1332 wnf 1436 |
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 1425 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 |
This theorem is referenced by: nfmo 2019 dvelimc 2302 nfralxy 2471 nfrexxy 2472 nfralya 2473 nfrexya 2474 nfreuxy 2605 nfsbc 2929 nfcsb 3037 nfiotaw 5092 nfriota 5739 nfixpxy 6611 |
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