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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 8008. (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| ax-resscn |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cr 7959 |
. 2
| |
| 2 | cc 7958 |
. 2
| |
| 3 | 1, 2 | wss 3174 |
1
|
| Colors of variables: wff set class |
| This axiom is referenced by: recn 8093 reex 8094 recni 8119 rerecapb 8951 nnsscn 9076 nn0sscn 9335 qsscn 9787 reexpcl 10738 rpexpcl 10740 reexpclzap 10741 expge0 10757 expge1 10758 abscn2 11741 recn2 11743 imcn2 11744 climabs 11746 climre 11748 climim 11749 climcvg1nlem 11775 fsumrecl 11827 fsumrpcl 11830 fsumge0 11885 fsumre 11898 fsumim 11899 fprodrecl 12034 fprodrpcl 12037 fprodreclf 12040 fprodge0 12063 fprodge1 12065 reeff1 12126 remet 15135 tgioo2cntop 15144 tgioo2 15146 abscncf 15172 recncf 15173 imcncf 15174 cnrehmeocntop 15197 maxcncf 15202 mincncf 15203 ivthreinc 15232 hovercncf 15233 limcimolemlt 15251 recnprss 15274 dvidrelem 15279 dvidre 15284 dvcjbr 15295 dvfre 15297 reeff1olem 15358 cosz12 15367 ioocosf1o 15441 |
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