Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 ‘cfv 6492 Basecbs 17018
0gc0g 17256
Grpcgrp 18683 Ringcrg 19888 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-10 2138 ax-11 2155 ax-12 2172 ax-ext 2709 ax-sep 5255 ax-nul 5262 ax-pr 5383 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2540 df-eu 2569 df-clab 2716 df-cleq 2730 df-clel 2816 df-nfc 2888 df-ne 2943 df-ral 3064 df-rex 3073 df-rmo 3352 df-reu 3353 df-rab 3407 df-v 3446 df-sbc 3739 df-dif 3912 df-un 3914 df-in 3916 df-ss 3926 df-nul 4282 df-if 4486 df-sn 4586 df-pr 4588 df-op 4592 df-uni 4865 df-br 5105 df-opab 5167 df-mpt 5188 df-id 5529 df-xp 5637 df-rel 5638 df-cnv 5639 df-co 5640 df-dm 5641 df-iota 6444 df-fun 6494 df-fv 6500 df-riota 7306 df-ov 7353 df-0g 17258 df-mgm 18432 df-sgrp 18481 df-mnd 18492 df-grp 18686 df-ring 19890 |
This theorem is referenced by: dvdsr01
20007 dvdsr02
20008 irredn0
20055 cntzsubr
20178 abv0
20213 abvtrivd
20222 lmod0cl
20271 lmod0vs
20278 lmodvs0
20279 lpi0
20640 isnzr2
20656 isnzr2hash
20657 ringelnzr
20659 0ring
20663 01eq0ring
20665 ringen1zr
20670 frlmphllem
21109 frlmphl
21110 uvcvvcl2
21117 uvcff
21120 psr1cl
21293 mvrf
21315 mplmon
21358 mplmonmul
21359 mplcoe1
21360 evlslem3
21412 coe1z
21556 coe1tmfv2
21568 ply1scl0
21583 ply1scln0
21584 gsummoncoe1
21597 mamumat1cl
21710 dmatsubcl
21769 dmatmulcl
21771 scmatscmiddistr
21779 marrepcl
21835 mdetr0
21876 mdetunilem8
21890 mdetunilem9
21891 maducoeval2
21911 maduf
21912 madutpos
21913 madugsum
21914 marep01ma
21931 smadiadetlem4
21940 smadiadetglem2
21943 1elcpmat
21986 m2cpminv0
22032 decpmataa0
22039 monmatcollpw
22050 pmatcollpw3fi1lem1
22057 pmatcollpw3fi1lem2
22058 chfacfisf
22125 cphsubrglem
24463 mdegaddle
25361 ply1divex
25423 facth1
25451 fta1blem
25455 abvcxp
26885 rhmpreimaidl
31977 elrspunidl
31980 rhmimaidl
31983 qsidomlem2
32003 ply1chr
32053 lfl0sc
37430 lflsc0N
37431 baerlem3lem1
40056 selvval2lem4
40563 evl0
40604 evlsbagval
40608 mhphf
40618 frlmpwfi
41259 mnringmulrcld
42241 zrrnghm
45933 zlidlring
45944 cznrng
45971 linc0scn0
46222 linc1
46224 |