Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1541
∈ wcel 2106 ‘cfv 6491 Basecbs 17017
0gc0g 17255
Grpcgrp 18682 Ringcrg 19888 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2708 ax-sep 5254 ax-nul 5261 ax-pr 5382 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-nfc 2887 df-ne 2942 df-ral 3063 df-rex 3072 df-rmo 3351 df-reu 3352 df-rab 3406 df-v 3445 df-sbc 3738 df-dif 3911 df-un 3913 df-in 3915 df-ss 3925 df-nul 4281 df-if 4485 df-sn 4585 df-pr 4587 df-op 4591 df-uni 4864 df-br 5104 df-opab 5166 df-mpt 5187 df-id 5528 df-xp 5636 df-rel 5637 df-cnv 5638 df-co 5639 df-dm 5640 df-iota 6443 df-fun 6493 df-fv 6499 df-riota 7305 df-ov 7352 df-0g 17257 df-mgm 18431 df-sgrp 18480 df-mnd 18491 df-grp 18685 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
31989 elrspunidl
31992 rhmimaidl
31995 qsidomlem2
32015 ply1chr
32065 lfl0sc
37439 lflsc0N
37440 baerlem3lem1
40065 selvval2lem4
40572 evl0
40625 evlsbagval
40629 mhphf
40639 frlmpwfi
41290 mnringmulrcld
42272 zrrnghm
45964 zlidlring
45975 cznrng
46002 linc0scn0
46253 linc1
46255 |