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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 7811. (Contributed by NM, 1-Mar-1995.) |
Ref | Expression |
---|---|
ax-resscn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cr 7762 | . 2 | |
2 | cc 7761 | . 2 | |
3 | 1, 2 | wss 3121 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: recn 7896 reex 7897 recni 7921 nnsscn 8872 nn0sscn 9129 qsscn 9579 reexpcl 10482 rpexpcl 10484 reexpclzap 10485 expge0 10501 expge1 10502 abscn2 11267 recn2 11269 imcn2 11270 climabs 11272 climre 11274 climim 11275 climcvg1nlem 11301 fsumrecl 11353 fsumrpcl 11356 fsumge0 11411 fsumre 11424 fsumim 11425 fprodrecl 11560 fprodrpcl 11563 fprodreclf 11566 fprodge0 11589 fprodge1 11591 reeff1 11652 remet 13295 tgioo2cntop 13304 abscncf 13327 recncf 13328 imcncf 13329 cnrehmeocntop 13348 limcimolemlt 13388 recnprss 13411 dvcjbr 13427 dvfre 13429 reeff1olem 13447 cosz12 13456 ioocosf1o 13530 |
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