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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 1461, but this proof does not use ax-17 1459.) (Contributed by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
nftru |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tru 1288 | . 2 | |
2 | 1 | nfth 1393 | 1 |
Colors of variables: wff set class |
Syntax hints: wtru 1285 wnf 1389 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-gen 1378 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 |
This theorem is referenced by: nfmo 1961 dvelimc 2239 nfralxy 2402 nfrexxy 2403 nfralya 2404 nfrexya 2405 nfreuxy 2528 nfsbc 2835 nfcsb 2940 nfiotaxy 4891 nfriota 5497 |
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