Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1542
∈ wcel 2107 ‘cfv 6492 1st
c1st 7910 GrpOpcgr 29217
AbelOpcablo 29272 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-rab 3407 df-v 3446 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-rn 5642 df-iota 6444 df-fun 6494 df-fn 6495 df-f 6496 df-fv 6500 df-ov 7353 df-1st 7912 df-2nd 7913 df-ablo 29273 df-rngo 36240 |
This theorem is referenced by: rngone0
36256 rngogcl
36257 rngoaass
36259 rngorcan
36262 rngolcan
36263 rngo0cl
36264 rngo0rid
36265 rngo0lid
36266 rngolz
36267 rngorz
36268 rngosn3
36269 rngonegcl
36272 rngoaddneg1
36273 rngoaddneg2
36274 rngosub
36275 rngodm1dm2
36277 rngorn1
36278 rngonegmn1l
36286 rngonegmn1r
36287 rngogrphom
36316 rngohom0
36317 rngohomsub
36318 rngokerinj
36320 keridl
36377 dmncan1
36421 |