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Mirrors > Home > ILE Home > Th. List > nncnd | Unicode version |
Description: A positive integer is a complex number. (Contributed by Mario Carneiro, 27-May-2016.) |
Ref | Expression |
---|---|
nnred.1 |
Ref | Expression |
---|---|
nncnd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nnsscn 8044 | . 2 | |
2 | nnred.1 | . 2 | |
3 | 1, 2 | sseldi 2997 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1433 cc 6979 cn 8039 |
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 ax-sep 3896 ax-cnex 7067 ax-resscn 7068 ax-1re 7070 ax-addrcl 7073 |
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-ral 2353 df-v 2603 df-in 2979 df-ss 2986 df-int 3637 df-inn 8040 |
This theorem is referenced by: peano5uzti 8455 qapne 8724 qtri3or 9252 qbtwnzlemstep 9257 intfracq 9322 flqdiv 9323 modqmulnn 9344 addmodid 9374 modaddmodup 9389 modsumfzodifsn 9398 addmodlteq 9400 facdiv 9665 facndiv 9666 faclbnd 9668 faclbnd6 9671 facubnd 9672 facavg 9673 bccmpl 9681 bcn0 9682 bcn1 9685 bcm1k 9687 bcp1n 9688 bcp1nk 9689 ibcval5 9690 bcpasc 9693 permnn 9698 cvg1nlemcxze 9868 cvg1nlemcau 9870 resqrexlemcalc3 9902 oexpneg 10276 divalglemnn 10318 bezoutlemnewy 10385 mulgcd 10405 rplpwr 10416 sqgcd 10418 lcmgcdlem 10459 3lcm2e6woprm 10468 cncongr1 10485 cncongr2 10486 prmind2 10502 divgcdodd 10522 prmdvdsexpr 10529 sqrt2irrlem 10540 oddpwdclemxy 10547 oddpwdclemodd 10550 oddpwdclemdc 10551 oddpwdc 10552 sqpweven 10553 2sqpwodd 10554 sqrt2irraplemnn 10557 sqrt2irrap 10558 |
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