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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 7797. (Contributed by NM, 1-Mar-1995.) |
Ref | Expression |
---|---|
ax-resscn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cr 7748 | . 2 | |
2 | cc 7747 | . 2 | |
3 | 1, 2 | wss 3115 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: recn 7882 reex 7883 recni 7907 nnsscn 8858 nn0sscn 9115 qsscn 9565 reexpcl 10468 rpexpcl 10470 reexpclzap 10471 expge0 10487 expge1 10488 abscn2 11252 recn2 11254 imcn2 11255 climabs 11257 climre 11259 climim 11260 climcvg1nlem 11286 fsumrecl 11338 fsumrpcl 11341 fsumge0 11396 fsumre 11409 fsumim 11410 fprodrecl 11545 fprodrpcl 11548 fprodreclf 11551 fprodge0 11574 fprodge1 11576 reeff1 11637 remet 13140 tgioo2cntop 13149 abscncf 13172 recncf 13173 imcncf 13174 cnrehmeocntop 13193 limcimolemlt 13233 recnprss 13256 dvcjbr 13272 dvfre 13274 reeff1olem 13292 cosz12 13301 ioocosf1o 13375 |
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