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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 8220. (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| ax-resscn |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cr 8171 |
. 2
| |
| 2 | cc 8170 |
. 2
| |
| 3 | 1, 2 | wss 3220 |
1
|
| Colors of variables: wff set class |
| This axiom is referenced by: recn 8305 reex 8306 recni 8331 rerecapb 9166 nnsscn 9291 nn0sscn 9550 qsscn 10013 reexpcl 10974 rpexpcl 10976 reexpclzap 10977 expge0 10993 expge1 10994 abscn2 12062 recn2 12064 imcn2 12065 climabs 12067 climre 12069 climim 12070 climcvg1nlem 12096 fsumrecl 12149 fsumrpcl 12152 fsumge0 12207 fsumre 12220 fsumim 12221 fprodrecl 12356 fprodrpcl 12359 fprodreclf 12362 fprodge0 12385 fprodge1 12387 reeff1 12448 remet 15575 tgioo2cntop 15584 tgioo2 15586 abscncf 15612 recncf 15613 imcncf 15614 cnrehmeocntop 15637 maxcncf 15642 mincncf 15643 ivthreinc 15672 hovercncf 15673 limcimolemlt 15691 recnprss 15714 dvidrelem 15719 dvidre 15724 dvcjbr 15735 dvfre 15737 reeff1olem 15798 cosz12 15807 ioocosf1o 15881 |
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