Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 ran crn 5632
‘cfv 6492 1st
c1st 7910 GrpOpcgr 29217
GIdcgi 29218 RingOpscrngo 36239 |
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 ax-un 7663 |
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-reu 3353 df-rab 3407 df-v 3446 df-sbc 3739 df-csb 3855 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-iun 4955 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-rn 5642 df-iota 6444 df-fun 6494 df-fn 6495 df-f 6496 df-fo 6498 df-fv 6500 df-riota 7306 df-ov 7353 df-1st 7912 df-2nd 7913 df-grpo 29221 df-gid 29222 df-ablo 29273 df-rngo 36240 |
This theorem is referenced by: rngolz
36267 rngorz
36268 rngosn6
36271 rngoueqz
36285 rngoidl
36369 0idl
36370 keridl
36377 prnc
36412 isdmn3
36419 |