| Colors of
variables: wff
setvar class |
| Syntax hints:
∈ wcel 2105 Ringcrg 20134
CRingccrg 20135 ℂfldccnfld 21233 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1796 ax-4 1810 ax-5 1912
ax-6 1970 ax-7 2010 ax-8 2107
ax-9 2115 ax-10 2136 ax-11 2153 ax-12 2170 ax-ext 2702 ax-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 ax-un 7729 ax-cnex 11172 ax-resscn 11173 ax-1cn 11174 ax-icn 11175 ax-addcl 11176 ax-addrcl 11177 ax-mulcl 11178 ax-mulrcl 11179 ax-mulcom 11180 ax-addass 11181 ax-mulass 11182 ax-distr 11183 ax-i2m1 11184 ax-1ne0 11185 ax-1rid 11186 ax-rnegex 11187 ax-rrecex 11188 ax-cnre 11189 ax-pre-lttri 11190 ax-pre-lttrn 11191 ax-pre-ltadd 11192 ax-pre-mulgt0 11193 ax-addf 11195 ax-mulf 11196 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1087 df-3an 1088 df-tru 1543 df-fal 1553 df-ex 1781 df-nf 1785 df-sb 2067 df-mo 2533 df-eu 2562 df-clab 2709 df-cleq 2723 df-clel 2809 df-nfc 2884 df-ne 2940 df-nel 3046 df-ral 3061 df-rex 3070 df-rmo 3375 df-reu 3376 df-rab 3432 df-v 3475 df-sbc 3778 df-csb 3894 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-pss 3967 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-tp 4633 df-op 4635 df-uni 4909 df-iun 4999 df-br 5149 df-opab 5211 df-mpt 5232 df-tr 5266 df-id 5574 df-eprel 5580 df-po 5588 df-so 5589 df-fr 5631 df-we 5633 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-pred 6300 df-ord 6367 df-on 6368 df-lim 6369 df-suc 6370 df-iota 6495 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-fv 6551 df-riota 7368 df-ov 7415 df-oprab 7416 df-mpo 7417 df-om 7860 df-1st 7979 df-2nd 7980 df-frecs 8272 df-wrecs 8303 df-recs 8377 df-rdg 8416 df-1o 8472 df-er 8709 df-en 8946 df-dom 8947 df-sdom 8948 df-fin 8949 df-pnf 11257 df-mnf 11258 df-xr 11259 df-ltxr 11260 df-le 11261 df-sub 11453 df-neg 11454 df-nn 12220 df-2 12282
df-3 12283 df-4 12284
df-5 12285 df-6 12286
df-7 12287 df-8 12288
df-9 12289 df-n0 12480 df-z 12566
df-dec 12685 df-uz 12830 df-fz 13492 df-struct 17087 df-sets 17104 df-slot 17122 df-ndx 17134 df-base 17152 df-plusg 17217 df-mulr 17218 df-starv 17219 df-tset 17223 df-ple 17224 df-ds 17226 df-unif 17227 df-0g 17394 df-mgm 18571 df-sgrp 18650 df-mnd 18666 df-grp 18864 df-cmn 19698 df-mgp 20036 df-ring 20136 df-cring 20137 df-cnfld 21234 |
| This theorem is referenced by: cnfld0
21258 cnfld1
21259 cnfldneg
21260 cnfldsub
21262 cndrng
21263 cnflddiv
21264 cnfldinv
21265 cnfldmulg
21266 cnfldexp
21267 cnsrng
21268 cnsubmlem
21282 cnsubglem
21283 cnsubrglem
21284 cnsubdrglem
21285 absabv
21291 cnmgpid
21296 gsumfsum
21301 expmhm
21303 nn0srg
21304 rge0srg
21305 expghm
21335 zrhpsgnmhm
21447 regsumsupp
21485 mhpmulcl
22001 cnngp
24616 cnfldtgp
24707 cnlmod
24987 cnrlmod
24990 cnncvsaddassdemo
25011 cphsubrglem
25025 tdeglem1
25911 tdeglem1OLD
25912 tdeglem3
25913 tdeglem3OLD
25914 tdeglem4
25915 tdeglem4OLD
25916 tdeglem2
25917 plypf1
26064 dvply2
26138 dvnply
26140 taylfvallem
26209 taylf
26212 tayl0
26213 taylpfval
26216 taylply
26220 efabl
26399 efsubm
26400 jensenlem1
26832 jensenlem2
26833 jensen
26834 amgmlem
26835 amgm
26836 wilthlem2
26914 wilthlem3
26915 dchrelbas3
27084 dchrghm
27102 dchrabs
27106 lgseisenlem4
27224 psgnid
32692 cnmsgn0g
32741 altgnsg
32744 fermltlchr
32918 znfermltl
32919 ccfldsrarelvec
33200 xrge0iifmhm
33383 zringnm
33402 rezh
33415 gg-cnfld1
35648 mhphflem
41631 rngunsnply
42378 proot1ex
42406 amgm2d
43413 amgm3d
43414 amgm4d
43415 amgmwlem
48011 amgmlemALT
48012 amgmw2d
48013 |
