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Mirrors > Home > ILE Home > Th. List > 0xnn0 | Unicode version |
Description: Zero is an extended nonnegative integer. (Contributed by AV, 10-Dec-2020.) |
Ref | Expression |
---|---|
0xnn0 | NN0* |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nn0ssxnn0 9036 | . 2 NN0* | |
2 | 0nn0 8985 | . 2 | |
3 | 1, 2 | sselii 3089 | 1 NN0* |
Colors of variables: wff set class |
Syntax hints: wcel 1480 cc0 7613 cn0 8970 NN0*cxnn0 9033 |
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-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 ax-1cn 7706 ax-icn 7708 ax-addcl 7709 ax-mulcl 7711 ax-i2m1 7718 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-v 2683 df-un 3070 df-in 3072 df-ss 3079 df-sn 3528 df-n0 8971 df-xnn0 9034 |
This theorem is referenced by: 0tonninf 10205 |
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