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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 7695. (Contributed by NM, 1-Mar-1995.) |
Ref | Expression |
---|---|
ax-icn | ⊢ i ∈ ℂ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ci 7646 | . 2 class i | |
2 | cc 7642 | . 2 class ℂ | |
3 | 1, 2 | wcel 1481 | 1 wff i ∈ ℂ |
Colors of variables: wff set class |
This axiom is referenced by: 0cn 7782 mulid1 7787 cnegexlem2 7962 cnegex 7964 0cnALT 7976 negicn 7987 ine0 8180 ixi 8369 rimul 8371 rereim 8372 apreap 8373 cru 8388 apreim 8389 mulreim 8390 apadd1 8394 apneg 8397 aprcl 8432 recextlem1 8436 recexaplem2 8437 recexap 8438 crap0 8740 cju 8743 it0e0 8965 2mulicn 8966 iap0 8967 2muliap0 8968 cnref1o 9469 irec 10423 i2 10424 i3 10425 i4 10426 iexpcyc 10428 imval 10654 imre 10655 reim 10656 crre 10661 crim 10662 remim 10664 mulreap 10668 cjreb 10670 recj 10671 reneg 10672 readd 10673 remullem 10675 imcj 10679 imneg 10680 imadd 10681 cjadd 10688 cjneg 10694 imval2 10698 rei 10703 imi 10704 cji 10706 cjreim 10707 cjreim2 10708 cjap 10710 cnrecnv 10714 rennim 10806 absi 10863 absreimsq 10871 absreim 10872 absimle 10888 climcvg1nlem 11150 sinval 11445 cosval 11446 sinf 11447 cosf 11448 tanval2ap 11456 tanval3ap 11457 resinval 11458 recosval 11459 efi4p 11460 resin4p 11461 recos4p 11462 resincl 11463 recoscl 11464 sinneg 11469 cosneg 11470 efival 11475 efmival 11476 efeul 11477 sinadd 11479 cosadd 11480 ef01bndlem 11499 sin01bnd 11500 cos01bnd 11501 absef 11512 absefib 11513 efieq1re 11514 demoivre 11515 demoivreALT 11516 cnrehmeocntop 12801 sincn 12898 coscn 12899 efhalfpi 12928 ef2kpi 12935 efper 12936 sinperlem 12937 efimpi 12948 qdencn 13397 |
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