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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 1421, but this proof does not use ax-17 1419.) (Contributed by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
nftru |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tru 1247 |
. 2
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2 | 1 | nfth 1353 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
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 1338 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 |
This theorem is referenced by: nfmo 1920 dvelimc 2198 nfralxy 2360 nfrexxy 2361 nfralya 2362 nfrexya 2363 nfreuxy 2484 nfsbc 2784 nfcsb 2884 nfiotaxy 4871 nfriota 5477 |
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