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Mirrors > Home > ILE Home > Th. List > 4nn0 | Unicode version |
Description: 4 is a nonnegative integer. (Contributed by Mario Carneiro, 18-Feb-2014.) |
Ref | Expression |
---|---|
4nn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 4nn 8851 | . 2 | |
2 | 1 | nnnn0i 8953 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1465 c4 8741 cn0 8945 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 ax-sep 4016 ax-cnex 7679 ax-resscn 7680 ax-1re 7682 ax-addrcl 7685 |
This theorem depends on definitions: df-bi 116 df-3an 949 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-ral 2398 df-rex 2399 df-v 2662 df-un 3045 df-in 3047 df-ss 3054 df-sn 3503 df-pr 3504 df-op 3506 df-uni 3707 df-int 3742 df-br 3900 df-iota 5058 df-fv 5101 df-ov 5745 df-inn 8689 df-2 8747 df-3 8748 df-4 8749 df-n0 8946 |
This theorem is referenced by: 6p5e11 9222 7p5e12 9226 8p5e13 9232 8p7e15 9234 9p5e14 9239 9p6e15 9240 4t3e12 9247 4t4e16 9248 5t5e25 9252 6t4e24 9255 6t5e30 9256 7t3e21 9259 7t5e35 9261 7t7e49 9263 8t3e24 9265 8t4e32 9266 8t5e40 9267 8t6e48 9268 8t7e56 9269 8t8e64 9270 9t5e45 9274 9t6e54 9275 9t7e63 9276 decbin3 9291 fzo0to42pr 9965 4bc3eq4 10487 resin4p 11352 recos4p 11353 ef01bndlem 11390 sin01bnd 11391 cos01bnd 11392 ex-exp 12866 ex-fac 12867 ex-bc 12868 |
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