| Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
| 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 8227. (Contributed by NM, 1-Mar-1995.) |
| Ref | Expression |
|---|---|
| ax-resscn |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cr 8178 |
. 2
| |
| 2 | cc 8177 |
. 2
| |
| 3 | 1, 2 | wss 3220 |
1
|
| Colors of variables: wff set class |
| This axiom is used by: recn 8312 reex 8313 recni 8338 rerecapb 9175 nnsscn 9311 nn0sscn 9572 qsscn 10040 reexpcl 11006 rpexpcl 11008 reexpclzap 11009 expge0 11025 expge1 11026 abscn2 12097 recn2 12099 imcn2 12100 climabs 12102 climre 12104 climim 12105 climcvg1nlem 12131 fsumrecl 12184 fsumrpcl 12187 fsumge0 12242 fsumre 12255 fsumim 12256 fprodrecl 12391 fprodrpcl 12394 fprodreclf 12397 fprodge0 12420 fprodge1 12422 reeff1 12483 remet 15698 tgioo2cntop 15707 tgioo2 15709 abscncf 15735 recncf 15736 imcncf 15737 cnrehmeocntop 15760 maxcncf 15765 mincncf 15766 ivthreinc 15795 hovercncf 15796 limcimolemlt 15814 recnprss 15837 dvidrelem 15842 dvidre 15847 dvcjbr 15858 dvfre 15860 reeff1olem 15921 cosz12 15931 ioocosf1o 16005 |
| Copyright terms: Public domain | W3C validator |