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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 8140. (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| ax-resscn |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cr 8091 |
. 2
| |
| 2 | cc 8090 |
. 2
| |
| 3 | 1, 2 | wss 3201 |
1
|
| Colors of variables: wff set class |
| This axiom is referenced by: recn 8225 reex 8226 recni 8251 rerecapb 9082 nnsscn 9207 nn0sscn 9466 qsscn 9926 reexpcl 10881 rpexpcl 10883 reexpclzap 10884 expge0 10900 expge1 10901 abscn2 11955 recn2 11957 imcn2 11958 climabs 11960 climre 11962 climim 11963 climcvg1nlem 11989 fsumrecl 12042 fsumrpcl 12045 fsumge0 12100 fsumre 12113 fsumim 12114 fprodrecl 12249 fprodrpcl 12252 fprodreclf 12255 fprodge0 12278 fprodge1 12280 reeff1 12341 remet 15359 tgioo2cntop 15368 tgioo2 15370 abscncf 15396 recncf 15397 imcncf 15398 cnrehmeocntop 15421 maxcncf 15426 mincncf 15427 ivthreinc 15456 hovercncf 15457 limcimolemlt 15475 recnprss 15498 dvidrelem 15503 dvidre 15508 dvcjbr 15519 dvfre 15521 reeff1olem 15582 cosz12 15591 ioocosf1o 15665 |
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