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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 8175. (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| ax-resscn |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cr 8126 |
. 2
| |
| 2 | cc 8125 |
. 2
| |
| 3 | 1, 2 | wss 3211 |
1
|
| Colors of variables: wff set class |
| This axiom is referenced by: recn 8260 reex 8261 recni 8286 rerecapb 9117 nnsscn 9242 nn0sscn 9501 qsscn 9963 reexpcl 10918 rpexpcl 10920 reexpclzap 10921 expge0 10937 expge1 10938 abscn2 11998 recn2 12000 imcn2 12001 climabs 12003 climre 12005 climim 12006 climcvg1nlem 12032 fsumrecl 12085 fsumrpcl 12088 fsumge0 12143 fsumre 12156 fsumim 12157 fprodrecl 12292 fprodrpcl 12295 fprodreclf 12298 fprodge0 12321 fprodge1 12323 reeff1 12384 remet 15411 tgioo2cntop 15420 tgioo2 15422 abscncf 15448 recncf 15449 imcncf 15450 cnrehmeocntop 15473 maxcncf 15478 mincncf 15479 ivthreinc 15508 hovercncf 15509 limcimolemlt 15527 recnprss 15550 dvidrelem 15555 dvidre 15560 dvcjbr 15571 dvfre 15573 reeff1olem 15634 cosz12 15643 ioocosf1o 15717 |
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