Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > nnnn0i | Unicode version |
Description: A positive integer is a nonnegative integer. (Contributed by NM, 20-Jun-2005.) |
Ref | Expression |
---|---|
nnnn0.1 |
Ref | Expression |
---|---|
nnnn0i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nnnn0.1 | . 2 | |
2 | nnnn0 8295 | . 2 | |
3 | 1, 2 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1433 cn 8039 cn0 8288 |
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-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-v 2603 df-un 2977 df-in 2979 df-ss 2986 df-n0 8289 |
This theorem is referenced by: 1nn0 8304 2nn0 8305 3nn0 8306 4nn0 8307 5nn0 8308 6nn0 8309 7nn0 8310 8nn0 8311 9nn0 8312 numlt 8501 declei 8512 numlti 8513 |
Copyright terms: Public domain | W3C validator |