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Mirrors > Home > ILE Home > Th. List > ax-resscn | Unicode version |
Description: The real numbers are a subset of the complex numbers. Axiom for real and complex numbers, justified by Theorem axresscn 7861. (Contributed by NM, 1-Mar-1995.) |
Ref | Expression |
---|---|
ax-resscn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cr 7812 |
. 2
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2 | cc 7811 |
. 2
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3 | 1, 2 | wss 3131 |
1
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Colors of variables: wff set class |
This axiom is referenced by: recn 7946 reex 7947 recni 7971 rerecapb 8802 nnsscn 8926 nn0sscn 9183 qsscn 9633 reexpcl 10539 rpexpcl 10541 reexpclzap 10542 expge0 10558 expge1 10559 abscn2 11325 recn2 11327 imcn2 11328 climabs 11330 climre 11332 climim 11333 climcvg1nlem 11359 fsumrecl 11411 fsumrpcl 11414 fsumge0 11469 fsumre 11482 fsumim 11483 fprodrecl 11618 fprodrpcl 11621 fprodreclf 11624 fprodge0 11647 fprodge1 11649 reeff1 11710 remet 14079 tgioo2cntop 14088 abscncf 14111 recncf 14112 imcncf 14113 cnrehmeocntop 14132 limcimolemlt 14172 recnprss 14195 dvcjbr 14211 dvfre 14213 reeff1olem 14231 cosz12 14240 ioocosf1o 14314 |
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