Colors of
variables: wff set class |
Syntax hints: wi 4
wa 104
wceq 1353
wcel 2148
cvv 2738
cop 3596
class class class wbr 4004 ccnv 4626 wfun 5211 cfv 5217 cn 8919 Struct cstr 12458
cnx 12459
Slot cslot 12461 |
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-in1 614 ax-in2 615 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-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4122 ax-pow 4175 ax-pr 4210 ax-un 4434 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-fal 1359 df-nf 1461 df-sb 1763 df-eu 2029 df-mo 2030 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ne 2348 df-ral 2460 df-rex 2461 df-rab 2464 df-v 2740 df-sbc 2964 df-dif 3132 df-un 3134 df-in 3136 df-ss 3143 df-nul 3424 df-pw 3578 df-sn 3599 df-pr 3600 df-op 3602 df-uni 3811 df-br 4005 df-opab 4066 df-mpt 4067 df-id 4294 df-xp 4633 df-rel 4634 df-cnv 4635 df-co 4636 df-dm 4637 df-rn 4638 df-res 4639 df-iota 5179 df-fun 5219 df-fv 5225 df-struct 12464 df-slot 12466 |
This theorem is referenced by: opelstrbas
12574 2strop1g
12582 rngplusgg
12595 rngmulrg
12596 srngplusgd
12606 srngmulrd
12607 srnginvld
12608 lmodplusgd
12624 lmodscad
12625 lmodvscad
12626 ipsaddgd
12636 ipsmulrd
12637 ipsscad
12638 ipsvscad
12639 ipsipd
12640 topgrpplusgd
12653 topgrptsetd
12654 |