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| Mirrors > Home > MPE Home > Th. List > cnex | Structured version Visualization version GIF version | ||
| Description: Alias for ax-cnex 11260. See also cnexALT 13118. (Contributed by Mario Carneiro, 17-Nov-2014.) |
| Ref | Expression |
|---|---|
| cnex | ⊢ ℂ ∈ V |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-cnex 11260 | 1 ⊢ ℂ ∈ V |
| Colors of variables: wff setvar class |
| This proof depends on syntax axioms: ∈ wcel 2144 Vcvv 3450 ℂcc 11202 |
| This proof depends on axioms: ax-cnex 11260 |
| This theorem is used by: reex 11295 cnelprrecn 11297 pnfex 11366 nnex 12345 zex 12706 qex 13092 mpoaddex 13120 addex 13121 mpomulex 13122 mulex 13123 rlim 15668 rlimf 15674 rlimss 15675 elo12 15700 o1f 15702 o1dm 15703 cnso 16421 cnaddablx 20088 cnaddabl 20089 cnaddid 20090 cnaddinv 20091 cnfldbas 21688 cnfldcj 21693 cnfldds 21696 cnfldfun 21698 cnfldfunALT 21699 cnmsubglem 21742 cnmsgngrp 21891 psgninv 21894 lmbrf 23584 lmfss 23620 lmres 23624 lmcnp 23628 cnmet 25096 cncfval 25215 elcncf 25216 cncfcnvcn 25252 cnheibor 25282 cnlmodlem1 25463 tcphex 25544 tchnmfval 25555 tcphcph 25564 lmmbr2 25586 lmmbrf 25589 iscau2 25604 iscauf 25607 caucfil 25610 cmetcaulem 25615 caussi 25624 causs 25625 lmclimf 25631 mbff 25952 ismbf 25955 ismbfcn 25956 mbfconst 25960 mbfres 25971 mbfimaopn2 25984 cncombf 25985 cnmbf 25986 0plef 25999 0pledm 26000 itg1ge0 26013 mbfi1fseqlem5 26046 itg2addlem 26085 limcfval 26198 limcrcl 26200 ellimc2 26203 limcflf 26207 limcres 26212 limcun 26221 dvfval 26223 dvbss 26227 dvbsss 26228 perfdvf 26229 dvreslem 26235 dvres2lem 26236 dvcnp2 26246 dvnfval 26248 dvnff 26249 dvnf 26253 dvnbss 26254 dvnadd 26255 dvn2bss 26256 dvnres 26257 cpnfval 26258 cpnord 26261 dvaddbr 26264 dvmulbr 26265 dvnfre 26278 dvexp 26279 dvef 26306 c1liplem1 26322 c1lip2 26324 lhop1lem 26339 plyval 26517 elply 26519 elply2 26520 plyf 26522 plyss 26523 elplyr 26525 plyeq0lem 26535 plyeq0 26536 plypf1 26537 plyaddlem1 26538 plymullem1 26539 plyaddlem 26540 plymullem 26541 plysub 26544 coeeulem 26549 coeeq 26552 dgrlem 26554 coeidlem 26562 plyco 26566 coe0 26581 coesub 26582 dgrmulc 26596 dgrsub 26597 dgrcolem1 26598 dgrcolem2 26599 plymul0or 26605 plymul02 26607 plyn0mulidp 26608 dvnply2 26614 plycpn 26616 plydivlem3 26622 plydivlem4 26623 plydiveu 26625 plyremlem 26631 plyrem 26632 facth 26633 fta1lem 26634 rnplynfin 26636 quotcan 26638 vieta1lem2 26640 plyexmo 26642 elqaalem3 26650 qaa 26653 iaaOLD 26658 aannenlem1 26661 aannenlem2 26662 aannenlem3 26663 taylfvallem1 26690 taylfval 26692 tayl0 26695 taylplem1 26696 taylply2 26701 taylply 26702 dvtaylp 26703 dvntaylp 26704 dvntaylp0 26705 taylthlem1 26706 taylthlem2 26707 ulmval 26713 ulmss 26730 ulmcn 26732 mtest 26737 pserulm 26755 psercn 26759 pserdvlem2 26761 abelth 26774 reefgim 26783 cxpcn2 27080 logbmpt 27122 logbfval 27124 lgamgulmlem5 27366 lgamgulmlem6 27367 lgamgulm2 27369 lgamcvglem 27373 ftalem7 27412 dchrfi 27588 cffldtocusgr 30034 isvcOLD 31187 cnaddabloOLD 31189 cnnvg 31286 cnnvs 31288 cnnvnm 31289 cncph 31427 hvmulex 31619 hfsmval 32346 hfmmval 32347 nmfnval 32484 nlfnval 32489 elcnfn 32490 ellnfn 32491 specval 32506 hhcnf 32513 constrsuc 34417 lmlim 34626 esumcvg 34765 signsplypnf 35226 signsply0 35227 breprexplemb 35307 breprexpnat 35310 vtsval 35313 circlemethnat 35317 circlevma 35318 circlemethhgt 35319 cvxpconn 36094 fwddifval 37020 fwddifnval 37021 ivthALT 37216 knoppcnlem5 37456 knoppcnlem8 37459 bj-inftyexpiinv 38223 bj-inftyexpidisj 38225 caures 38788 cntotbnd 38824 cnpwstotbnd 38825 rrnval 38855 cnaddcom 40123 subex 43392 absex 43393 cjex 43394 elmnc 44232 mpaaeu 44246 itgoval 44257 itgocn 44260 rngunsnply 44265 binomcxplemnotnn0 45434 climexp 46711 xlimbr 46931 fuzxrpmcn 46932 xlimmnfvlem2 46937 xlimpnfvlem2 46941 mulcncff 46974 subcncff 46984 addcncff 46988 cncfuni 46990 divcncff 46995 dvsinax 47017 dvcosax 47030 dvnmptdivc 47042 dvnmptconst 47045 dvnxpaek 47046 dvnmul 47047 dvnprodlem3 47052 etransclem1 47339 etransclem2 47340 etransclem4 47342 etransclem13 47351 etransclem46 47384 sqrtnnaa 48007 sqrtnzqaa 48008 numtowerdt 48010 cjnpoly 48033 fdivpm 49749 amgmlemALT 51157 |
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