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| Mirrors > Home > MPE Home > Th. List > cnex | Structured version Visualization version GIF version | ||
| Description: Alias for ax-cnex 11157. See also cnexALT 13011. (Contributed by Mario Carneiro, 17-Nov-2014.) |
| Ref | Expression |
|---|---|
| cnex | ⊢ ℂ ∈ V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-cnex 11157 | 1 ⊢ ℂ ∈ V |
| Colors of variables: wff setvar class |
| Syntax hints: ∈ wcel 2143 Vcvv 3455 ℂcc 11099 |
| This theorem was proved from axioms: ax-cnex 11157 |
| This theorem is referenced by: reex 11192 cnelprrecn 11194 pnfex 11263 nnex 12240 zex 12601 qex 12986 mpoaddex 13013 addex 13014 mpomulex 13015 mulex 13016 rlim 15548 rlimf 15554 rlimss 15555 elo12 15580 o1f 15582 o1dm 15583 cnso 16304 cnaddablx 19939 cnaddabl 19940 cnaddid 19941 cnaddinv 19942 cnfldbas 21507 cnfldcj 21512 cnfldds 21515 cnfldfun 21517 cnfldfunALT 21518 cnmsubglem 21561 cnmsgngrp 21710 psgninv 21713 lmbrf 23398 lmfss 23434 lmres 23438 lmcnp 23442 cnmet 24909 cncfval 25028 elcncf 25029 cncfcnvcn 25065 cnheibor 25095 cnlmodlem1 25276 tcphex 25357 tchnmfval 25368 tcphcph 25377 lmmbr2 25399 lmmbrf 25402 iscau2 25417 iscauf 25420 caucfil 25423 cmetcaulem 25428 caussi 25437 causs 25438 lmclimf 25444 mbff 25765 ismbf 25768 ismbfcn 25769 mbfconst 25773 mbfres 25784 mbfimaopn2 25797 cncombf 25798 cnmbf 25799 0plef 25812 0pledm 25813 itg1ge0 25826 mbfi1fseqlem5 25859 itg2addlem 25898 limcfval 26012 limcrcl 26014 ellimc2 26017 limcflf 26021 limcres 26026 limcun 26035 dvfval 26037 dvbss 26041 dvbsss 26042 perfdvf 26043 dvreslem 26049 dvres2lem 26050 dvcnp2 26060 dvnfval 26062 dvnff 26063 dvnf 26067 dvnbss 26068 dvnadd 26069 dvn2bss 26070 dvnres 26071 cpnfval 26072 cpnord 26075 dvaddbr 26078 dvmulbr 26079 dvnfre 26092 dvexp 26093 dvef 26120 c1liplem1 26136 c1lip2 26138 lhop1lem 26153 plyval 26331 elply 26333 elply2 26334 plyf 26336 plyss 26337 elplyr 26339 plyeq0lem 26348 plyeq0 26349 plypf1 26350 plyaddlem1 26351 plymullem1 26352 plyaddlem 26353 plymullem 26354 plysub 26357 coeeulem 26362 coeeq 26365 dgrlem 26367 coeidlem 26375 plyco 26379 coe0 26394 coesub 26395 dgrmulc 26409 dgrsub 26410 dgrcolem1 26411 dgrcolem2 26412 plymul0or 26420 plymul02 26422 plyn0mulidp 26423 dvnply2 26429 plycpn 26431 plydivlem3 26437 plydivlem4 26438 plydiveu 26440 plyremlem 26446 plyrem 26447 facth 26448 fta1lem 26449 quotcan 26451 vieta1lem2 26453 plyexmo 26455 elqaalem3 26463 qaa 26465 iaa 26469 aannenlem1 26472 aannenlem2 26473 aannenlem3 26474 taylfvallem1 26501 taylfval 26503 tayl0 26506 taylplem1 26507 taylply2 26512 taylply 26513 dvtaylp 26514 dvntaylp 26515 dvntaylp0 26516 taylthlem1 26517 taylthlem2 26518 ulmval 26524 ulmss 26541 ulmcn 26543 mtest 26548 pserulm 26566 psercn 26570 pserdvlem2 26572 abelth 26585 reefgim 26594 cxpcn2 26892 logbmpt 26934 logbfval 26936 lgamgulmlem5 27178 lgamgulmlem6 27179 lgamgulm2 27181 lgamcvglem 27185 ftalem7 27224 dchrfi 27400 cffldtocusgr 29778 isvcOLD 30912 cnaddabloOLD 30914 cnnvg 31011 cnnvs 31013 cnnvnm 31014 cncph 31152 hvmulex 31344 hfsmval 32071 hfmmval 32072 nmfnval 32209 nlfnval 32214 elcnfn 32215 ellnfn 32216 specval 32231 hhcnf 32238 constrsuc 34109 lmlim 34318 esumcvg 34457 signsplypnf 34918 signsply0 34919 breprexplemb 34999 breprexpnat 35002 vtsval 35005 circlemethnat 35009 circlevma 35010 circlemethhgt 35011 cvxpconn 35715 fwddifval 36635 fwddifnval 36636 ivthALT 36827 knoppcnlem5 37067 knoppcnlem8 37070 bj-inftyexpiinv 37833 bj-inftyexpidisj 37835 caures 38392 cntotbnd 38428 cnpwstotbnd 38429 rrnval 38459 cnaddcom 39727 subex 42996 absex 42997 cjex 42998 elmnc 43846 mpaaeu 43860 itgoval 43871 itgocn 43874 rngunsnply 43879 binomcxplemnotnn0 45049 climexp 46304 xlimbr 46524 fuzxrpmcn 46525 xlimmnfvlem2 46530 xlimpnfvlem2 46534 mulcncff 46567 subcncff 46577 addcncff 46581 cncfuni 46583 divcncff 46588 dvsinax 46610 dvcosax 46623 dvnmptdivc 46635 dvnmptconst 46638 dvnxpaek 46639 dvnmul 46640 dvnprodlem3 46645 etransclem1 46932 etransclem2 46933 etransclem4 46935 etransclem13 46944 etransclem46 46977 sqrtnnaa 47587 sqrtnzqaa 47588 nthrucw 47590 cjnpoly 47609 fdivpm 49306 amgmlemALT 50586 |
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