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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 8047. (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| ax-resscn |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cr 7998 |
. 2
| |
| 2 | cc 7997 |
. 2
| |
| 3 | 1, 2 | wss 3197 |
1
|
| Colors of variables: wff set class |
| This axiom is referenced by: recn 8132 reex 8133 recni 8158 rerecapb 8990 nnsscn 9115 nn0sscn 9374 qsscn 9826 reexpcl 10778 rpexpcl 10780 reexpclzap 10781 expge0 10797 expge1 10798 abscn2 11826 recn2 11828 imcn2 11829 climabs 11831 climre 11833 climim 11834 climcvg1nlem 11860 fsumrecl 11912 fsumrpcl 11915 fsumge0 11970 fsumre 11983 fsumim 11984 fprodrecl 12119 fprodrpcl 12122 fprodreclf 12125 fprodge0 12148 fprodge1 12150 reeff1 12211 remet 15222 tgioo2cntop 15231 tgioo2 15233 abscncf 15259 recncf 15260 imcncf 15261 cnrehmeocntop 15284 maxcncf 15289 mincncf 15290 ivthreinc 15319 hovercncf 15320 limcimolemlt 15338 recnprss 15361 dvidrelem 15366 dvidre 15371 dvcjbr 15382 dvfre 15384 reeff1olem 15445 cosz12 15454 ioocosf1o 15528 |
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