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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 7692. (Contributed by NM, 1-Mar-1995.) |
Ref | Expression |
---|---|
ax-resscn |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cr 7643 |
. 2
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2 | cc 7642 |
. 2
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3 | 1, 2 | wss 3076 |
1
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Colors of variables: wff set class |
This axiom is referenced by: recn 7777 reex 7778 recni 7802 nnsscn 8749 nn0sscn 9006 qsscn 9450 reexpcl 10341 rpexpcl 10343 reexpclzap 10344 expge0 10360 expge1 10361 abscn2 11116 recn2 11118 imcn2 11119 climabs 11121 climre 11123 climim 11124 climcvg1nlem 11150 fsumrecl 11202 fsumrpcl 11205 fsumge0 11260 fsumre 11273 fsumim 11274 reeff1 11443 remet 12748 tgioo2cntop 12757 abscncf 12780 recncf 12781 imcncf 12782 cnrehmeocntop 12801 limcimolemlt 12841 recnprss 12864 dvcjbr 12880 dvfre 12882 reeff1olem 12900 cosz12 12909 ioocosf1o 12983 |
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