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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 7975. (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| ax-resscn |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cr 7926 |
. 2
| |
| 2 | cc 7925 |
. 2
| |
| 3 | 1, 2 | wss 3166 |
1
|
| Colors of variables: wff set class |
| This axiom is referenced by: recn 8060 reex 8061 recni 8086 rerecapb 8918 nnsscn 9043 nn0sscn 9302 qsscn 9754 reexpcl 10703 rpexpcl 10705 reexpclzap 10706 expge0 10722 expge1 10723 abscn2 11659 recn2 11661 imcn2 11662 climabs 11664 climre 11666 climim 11667 climcvg1nlem 11693 fsumrecl 11745 fsumrpcl 11748 fsumge0 11803 fsumre 11816 fsumim 11817 fprodrecl 11952 fprodrpcl 11955 fprodreclf 11958 fprodge0 11981 fprodge1 11983 reeff1 12044 remet 15053 tgioo2cntop 15062 tgioo2 15064 abscncf 15090 recncf 15091 imcncf 15092 cnrehmeocntop 15115 maxcncf 15120 mincncf 15121 ivthreinc 15150 hovercncf 15151 limcimolemlt 15169 recnprss 15192 dvidrelem 15197 dvidre 15202 dvcjbr 15213 dvfre 15215 reeff1olem 15276 cosz12 15285 ioocosf1o 15359 |
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