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| Mirrors > Home > MPE Home > Th. List > cnex | Structured version Visualization version GIF version | ||
| Description: Alias for ax-cnex 11123. See also cnexALT 12981. (Contributed by Mario Carneiro, 17-Nov-2014.) |
| Ref | Expression |
|---|---|
| cnex | ⊢ ℂ ∈ V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-cnex 11123 | 1 ⊢ ℂ ∈ V |
| Colors of variables: wff setvar class |
| Syntax hints: ∈ wcel 2141 Vcvv 3453 ℂcc 11065 |
| This theorem was proved from axioms: ax-cnex 11123 |
| This theorem is referenced by: reex 11158 cnelprrecn 11160 pnfex 11229 nnex 12210 zex 12571 qex 12956 mpoaddex 12983 addex 12984 mpomulex 12985 mulex 12986 rlim 15513 rlimf 15519 rlimss 15520 elo12 15545 o1f 15547 o1dm 15548 cnso 16270 cnaddablx 19899 cnaddabl 19900 cnaddid 19901 cnaddinv 19902 cnfldbas 21416 cnfldcj 21421 cnfldds 21424 cnfldfun 21426 cnfldfunALT 21427 cnmsubglem 21470 cnmsgngrp 21619 psgninv 21622 lmbrf 23308 lmfss 23344 lmres 23348 lmcnp 23352 cnmet 24819 cncfval 24938 elcncf 24939 cncfcnvcn 24975 cnheibor 25005 cnlmodlem1 25186 tcphex 25267 tchnmfval 25278 tcphcph 25287 lmmbr2 25309 lmmbrf 25312 iscau2 25327 iscauf 25330 caucfil 25333 cmetcaulem 25338 caussi 25347 causs 25348 lmclimf 25354 mbff 25675 ismbf 25678 ismbfcn 25679 mbfconst 25683 mbfres 25694 mbfimaopn2 25707 cncombf 25708 cnmbf 25709 0plef 25722 0pledm 25723 itg1ge0 25736 mbfi1fseqlem5 25769 itg2addlem 25808 limcfval 25922 limcrcl 25924 ellimc2 25927 limcflf 25931 limcres 25936 limcun 25945 dvfval 25947 dvbss 25951 dvbsss 25952 perfdvf 25953 dvreslem 25959 dvres2lem 25960 dvcnp2 25970 dvnfval 25972 dvnff 25973 dvnf 25977 dvnbss 25978 dvnadd 25979 dvn2bss 25980 dvnres 25981 cpnfval 25982 cpnord 25985 dvaddbr 25988 dvmulbr 25989 dvnfre 26002 dvexp 26003 dvef 26030 c1liplem1 26046 c1lip2 26048 lhop1lem 26063 plyval 26241 elply 26243 elply2 26244 plyf 26246 plyss 26247 elplyr 26249 plyeq0lem 26258 plyeq0 26259 plypf1 26260 plyaddlem1 26261 plymullem1 26262 plyaddlem 26263 plymullem 26264 plysub 26267 coeeulem 26272 coeeq 26275 dgrlem 26277 coeidlem 26285 plyco 26289 coe0 26304 coesub 26305 dgrmulc 26319 dgrsub 26320 dgrcolem1 26321 dgrcolem2 26322 plymul0or 26330 plymul02 26332 plyn0mulidp 26333 dvnply2 26339 plycpn 26341 plydivlem3 26347 plydivlem4 26348 plydiveu 26350 plyremlem 26356 plyrem 26357 facth 26358 fta1lem 26359 quotcan 26361 vieta1lem2 26363 plyexmo 26365 elqaalem3 26373 qaa 26375 iaa 26377 aannenlem1 26380 aannenlem2 26381 aannenlem3 26382 taylfvallem1 26408 taylfval 26410 tayl0 26413 taylplem1 26414 taylply2 26419 taylply 26420 dvtaylp 26421 dvntaylp 26422 dvntaylp0 26423 taylthlem1 26424 taylthlem2 26425 ulmval 26431 ulmss 26448 ulmcn 26450 mtest 26455 pserulm 26473 psercn 26477 pserdvlem2 26479 abelth 26492 reefgim 26501 cxpcn2 26799 logbmpt 26841 logbfval 26843 lgamgulmlem5 27085 lgamgulmlem6 27086 lgamgulm2 27088 lgamcvglem 27092 ftalem7 27131 dchrfi 27307 cffldtocusgr 29605 isvcOLD 30739 cnaddabloOLD 30741 cnnvg 30838 cnnvs 30840 cnnvnm 30841 cncph 30979 hvmulex 31171 hfsmval 31898 hfmmval 31899 nmfnval 32036 nlfnval 32041 elcnfn 32042 ellnfn 32043 specval 32058 hhcnf 32065 constrsuc 33996 lmlim 34205 esumcvg 34344 signsplypnf 34805 signsply0 34806 breprexplemb 34886 breprexpnat 34889 vtsval 34892 circlemethnat 34896 circlevma 34897 circlemethhgt 34898 cvxpconn 35553 fwddifval 36473 fwddifnval 36474 ivthALT 36656 knoppcnlem5 36896 knoppcnlem8 36899 bj-inftyexpiinv 37661 bj-inftyexpidisj 37663 caures 38220 cntotbnd 38256 cnpwstotbnd 38257 rrnval 38287 cnaddcom 39557 subex 42824 absex 42825 cjex 42826 elmnc 43674 mpaaeu 43688 itgoval 43699 itgocn 43702 rngunsnply 43707 binomcxplemnotnn0 44893 climexp 46142 xlimbr 46362 fuzxrpmcn 46363 xlimmnfvlem2 46368 xlimpnfvlem2 46372 mulcncff 46405 subcncff 46415 addcncff 46419 cncfuni 46421 divcncff 46426 dvsinax 46448 dvcosax 46461 dvnmptdivc 46473 dvnmptconst 46476 dvnxpaek 46477 dvnmul 46478 dvnprodlem3 46483 etransclem1 46770 etransclem2 46771 etransclem4 46773 etransclem13 46782 etransclem46 46815 nthrucw 47423 cjnpoly 47444 fdivpm 49126 amgmlemALT 50385 |
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