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Mirrors > Home > ILE Home > Th. List > ax-icn | GIF version |
Description: i is a complex number. Axiom for real and complex numbers, justified by theorem axicn 7671. (Contributed by NM, 1-Mar-1995.) |
Ref | Expression |
---|---|
ax-icn | ⊢ i ∈ ℂ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ci 7622 | . 2 class i | |
2 | cc 7618 | . 2 class ℂ | |
3 | 1, 2 | wcel 1480 | 1 wff i ∈ ℂ |
Colors of variables: wff set class |
This axiom is referenced by: 0cn 7758 mulid1 7763 cnegexlem2 7938 cnegex 7940 0cnALT 7952 negicn 7963 ine0 8156 ixi 8345 rimul 8347 rereim 8348 apreap 8349 cru 8364 apreim 8365 mulreim 8366 apadd1 8370 apneg 8373 aprcl 8408 recextlem1 8412 recexaplem2 8413 recexap 8414 crap0 8716 cju 8719 it0e0 8941 2mulicn 8942 iap0 8943 2muliap0 8944 cnref1o 9440 irec 10392 i2 10393 i3 10394 i4 10395 iexpcyc 10397 imval 10622 imre 10623 reim 10624 crre 10629 crim 10630 remim 10632 mulreap 10636 cjreb 10638 recj 10639 reneg 10640 readd 10641 remullem 10643 imcj 10647 imneg 10648 imadd 10649 cjadd 10656 cjneg 10662 imval2 10666 rei 10671 imi 10672 cji 10674 cjreim 10675 cjreim2 10676 cjap 10678 cnrecnv 10682 rennim 10774 absi 10831 absreimsq 10839 absreim 10840 absimle 10856 climcvg1nlem 11118 sinval 11409 cosval 11410 sinf 11411 cosf 11412 tanval2ap 11420 tanval3ap 11421 resinval 11422 recosval 11423 efi4p 11424 resin4p 11425 recos4p 11426 resincl 11427 recoscl 11428 sinneg 11433 cosneg 11434 efival 11439 efmival 11440 efeul 11441 sinadd 11443 cosadd 11444 ef01bndlem 11463 sin01bnd 11464 cos01bnd 11465 absef 11476 absefib 11477 efieq1re 11478 demoivre 11479 demoivreALT 11480 cnrehmeocntop 12762 sincn 12858 coscn 12859 efhalfpi 12880 ef2kpi 12887 efper 12888 sinperlem 12889 efimpi 12900 qdencn 13222 |
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