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Mirrors > Home > ILE Home > Th. List > ax-icn | Unicode version |
Description: is a complex number. Axiom for real and complex numbers, justified by theorem axicn 7678. (Contributed by NM, 1-Mar-1995.) |
Ref | Expression |
---|---|
ax-icn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ci 7629 | . 2 | |
2 | cc 7625 | . 2 | |
3 | 1, 2 | wcel 1480 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: 0cn 7765 mulid1 7770 cnegexlem2 7945 cnegex 7947 0cnALT 7959 negicn 7970 ine0 8163 ixi 8352 rimul 8354 rereim 8355 apreap 8356 cru 8371 apreim 8372 mulreim 8373 apadd1 8377 apneg 8380 aprcl 8415 recextlem1 8419 recexaplem2 8420 recexap 8421 crap0 8723 cju 8726 it0e0 8948 2mulicn 8949 iap0 8950 2muliap0 8951 cnref1o 9447 irec 10399 i2 10400 i3 10401 i4 10402 iexpcyc 10404 imval 10629 imre 10630 reim 10631 crre 10636 crim 10637 remim 10639 mulreap 10643 cjreb 10645 recj 10646 reneg 10647 readd 10648 remullem 10650 imcj 10654 imneg 10655 imadd 10656 cjadd 10663 cjneg 10669 imval2 10673 rei 10678 imi 10679 cji 10681 cjreim 10682 cjreim2 10683 cjap 10685 cnrecnv 10689 rennim 10781 absi 10838 absreimsq 10846 absreim 10847 absimle 10863 climcvg1nlem 11125 sinval 11416 cosval 11417 sinf 11418 cosf 11419 tanval2ap 11427 tanval3ap 11428 resinval 11429 recosval 11430 efi4p 11431 resin4p 11432 recos4p 11433 resincl 11434 recoscl 11435 sinneg 11440 cosneg 11441 efival 11446 efmival 11447 efeul 11448 sinadd 11450 cosadd 11451 ef01bndlem 11470 sin01bnd 11471 cos01bnd 11472 absef 11483 absefib 11484 efieq1re 11485 demoivre 11486 demoivreALT 11487 cnrehmeocntop 12772 sincn 12868 coscn 12869 efhalfpi 12890 ef2kpi 12897 efper 12898 sinperlem 12899 efimpi 12910 qdencn 13232 |
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