Colors of
variables: wff set class |
Syntax hints:
∧ wa 104 ↔ wb 105
= wceq 1353 ∈
wcel 2148 ‘cfv 5218
CMndccmn 13093 mulGrpcmgp 13135 Ringcrg 13184
CRingccrg 13185 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-rex 2461 df-rab 2464 df-v 2741 df-un 3135 df-sn 3600 df-pr 3601 df-op 3603 df-uni 3812 df-br 4006 df-iota 5180 df-fv 5226 df-cring 13187 |
This theorem is referenced by: crngmgp
13192 crngring
13196 iscrng2
13203 crngpropd
13223 iscrngd
13226 subrgcrng
13351 |