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Mirrors > Home > ILE Home > Th. List > 1nn0 | Unicode version |
Description: 1 is a nonnegative integer. (Contributed by Raph Levien, 10-Dec-2002.) |
Ref | Expression |
---|---|
1nn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 1nn 8724 | . 2 | |
2 | 1 | nnnn0i 8978 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1480 c1 7614 cn0 8970 |
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-1re 7707 |
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-ral 2419 df-v 2683 df-un 3070 df-in 3072 df-ss 3079 df-int 3767 df-inn 8714 df-n0 8971 |
This theorem is referenced by: peano2nn0 9010 deccl 9189 10nn0 9192 numsucc 9214 numadd 9221 numaddc 9222 11multnc 9242 6p5lem 9244 6p6e12 9248 7p5e12 9251 8p4e12 9256 9p2e11 9261 9p3e12 9262 10p10e20 9269 4t4e16 9273 5t2e10 9274 5t4e20 9276 6t3e18 9279 6t4e24 9280 7t3e21 9284 7t4e28 9285 8t3e24 9290 9t3e27 9297 9t9e81 9303 nn01to3 9402 elfzom1elp1fzo 9972 fzo0sn0fzo1 9991 1tonninf 10206 expn1ap0 10296 nn0expcl 10300 sqval 10344 sq10 10452 nn0opthlem1d 10459 fac2 10470 bccl 10506 hashsng 10537 1elfz0hash 10545 bcxmas 11251 arisum 11260 geoisum1 11281 geoisum1c 11282 cvgratnnlemsumlt 11290 mertenslem2 11298 ege2le3 11366 ef4p 11389 efgt1p2 11390 efgt1p 11391 sin01gt0 11457 dvds1 11540 3dvds2dec 11552 ennnfonelemhom 11917 dsndx 12106 dsid 12107 dsslid 12108 dveflem 12844 1kp2ke3k 12925 ex-exp 12928 ex-fac 12929 isomninnlem 13214 trilpolemisumle 13220 |
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