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Mirrors > Home > ILE Home > Th. List > mulcom | Unicode version |
Description: Alias for ax-mulcom 7721, for naming consistency with mulcomi 7772. (Contributed by NM, 10-Mar-2008.) |
Ref | Expression |
---|---|
mulcom |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-mulcom 7721 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wceq 1331 wcel 1480 (class class class)co 5774 cc 7618 cmul 7625 |
This theorem was proved from axioms: ax-mulcom 7721 |
This theorem is referenced by: adddir 7757 mulid2 7764 mulcomi 7772 mulcomd 7787 mul12 7891 mul32 7892 mul31 7893 muladd 8146 subdir 8148 mul01 8151 mulneg2 8158 recextlem1 8412 divmulap3 8437 div23ap 8451 div13ap 8453 div12ap 8454 divmulasscomap 8456 divcanap4 8459 divmul13ap 8475 divmul24ap 8476 divcanap7 8481 div2negap 8495 prodgt02 8611 prodge02 8613 ltmul2 8614 lemul2 8615 lemul2a 8617 ltmulgt12 8623 lemulge12 8625 ltmuldiv2 8633 ltdivmul2 8636 ledivmul2 8638 lemuldiv2 8640 times2 8849 modqcyc2 10133 subsq 10399 cjmulrcl 10659 imval2 10666 abscj 10824 sqabsadd 10827 sqabssub 10828 prod3fmul 11310 prodmodclem3 11344 efcllemp 11364 efexp 11388 sinmul 11451 demoivreALT 11480 dvdsmul1 11515 odd2np1lem 11569 odd2np1 11570 opeo 11594 omeo 11595 modgcd 11679 dvdsgcd 11700 gcdmultiple 11708 coprmdvds 11773 coprmdvds2 11774 qredeq 11777 ef2kpi 12887 sinperlem 12889 sinmpi 12896 cosmpi 12897 sinppi 12898 cosppi 12899 |
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