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Mirrors > Home > ILE Home > Th. List > 2cn | Unicode version |
Description: The number 2 is a complex number. (Contributed by NM, 30-Jul-2004.) |
Ref | Expression |
---|---|
2cn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2re 8109 | . 2 | |
2 | 1 | recni 7131 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1433 cc 6979 c2 8089 |
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-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 ax-resscn 7068 ax-1re 7070 ax-addrcl 7073 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-in 2979 df-ss 2986 df-2 8098 |
This theorem is referenced by: 2ex 8111 2cnd 8112 2m1e1 8156 3m1e2 8158 2p2e4 8159 times2 8161 2div2e1 8164 1p2e3 8166 3p3e6 8174 4p3e7 8176 5p3e8 8179 6p3e9 8182 2t1e2 8185 2t2e4 8186 3t3e9 8189 2t0e0 8191 4d2e2 8192 2cnne0 8240 1mhlfehlf 8249 8th4div3 8250 halfpm6th 8251 2mulicn 8253 2muliap0 8255 halfcl 8257 half0 8259 2halves 8260 halfaddsub 8265 div4p1lem1div2 8284 3halfnz 8444 zneo 8448 nneoor 8449 zeo 8452 7p3e10 8551 4t4e16 8575 6t3e18 8581 7t7e49 8590 8t5e40 8594 9t9e81 8605 decbin0 8616 decbin2 8617 fztpval 9100 fz0tp 9135 fzo0to3tp 9228 2tnp1ge0ge0 9303 expubnd 9533 sq2 9571 cu2 9573 subsq2 9582 binom2sub 9587 binom3 9590 zesq 9591 fac2 9658 fac3 9659 faclbnd2 9669 bcn2 9691 4bc2eq6 9701 crre 9744 addcj 9778 imval2 9781 resqrexlemover 9896 resqrexlemcalc1 9900 resqrexlemnm 9904 resqrexlemcvg 9905 amgm2 10004 odd2np1lem 10271 odd2np1 10272 ltoddhalfle 10293 halfleoddlt 10294 opoe 10295 omoe 10296 opeo 10297 omeo 10298 nno 10306 nn0o 10307 flodddiv4 10334 6gcd4e2 10384 3lcm2e6woprm 10468 6lcm4e12 10469 sqrt2irrlem 10540 oddpwdclemodd 10550 ex-fl 10563 ex-ceil 10564 ex-fac 10565 |
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