Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
= wceq 1533 ∈
wcel 2098 ran crn 5668
‘cfv 6534 (class class class)co 7402
1st c1st 7967
2nd c2nd 7968
GIdcgi 30215 RingOpscrngo 37256 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2695 ax-sep 5290 ax-nul 5297 ax-pr 5418 ax-un 7719 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ne 2933 df-ral 3054 df-rex 3063 df-rmo 3368 df-reu 3369 df-rab 3425 df-v 3468 df-sbc 3771 df-csb 3887 df-dif 3944 df-un 3946 df-in 3948 df-ss 3958 df-nul 4316 df-if 4522 df-sn 4622 df-pr 4624 df-op 4628 df-uni 4901 df-iun 4990 df-br 5140 df-opab 5202 df-mpt 5223 df-id 5565 df-xp 5673 df-rel 5674 df-cnv 5675 df-co 5676 df-dm 5677 df-rn 5678 df-iota 6486 df-fun 6536 df-fn 6537 df-f 6538 df-fo 6540 df-fv 6542 df-riota 7358 df-ov 7405 df-1st 7969 df-2nd 7970 df-grpo 30218 df-gid 30219 df-ablo 30270 df-ass 37205 df-exid 37207 df-mgmOLD 37211 df-sgrOLD 37223 df-mndo 37229 df-rngo 37257 |
This theorem is referenced by: rngonegmn1l
37303 zerdivemp1x
37309 isdrngo2
37320 1idl
37388 smprngopr
37414 prnc
37429 |