| Colors of
variables: wff set class |
| Syntax hints:
∧ wa 104 = wceq 1363
∈ wcel 2158 ‘cfv 5228 ℕcn 8932
2c2 8983 ndxcnx 12472
Slot cslot 12474 +gcplusg 12550 |
| 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 710
ax-5 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-13 2160 ax-14 2161 ax-ext 2169 ax-sep 4133 ax-pow 4186 ax-pr 4221 ax-un 4445 ax-cnex 7915 ax-resscn 7916 ax-1re 7918 ax-addrcl 7921 |
| This theorem depends on definitions:
df-bi 117 df-3an 981 df-tru 1366 df-nf 1471 df-sb 1773 df-eu 2039 df-mo 2040 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-ral 2470 df-rex 2471 df-v 2751 df-sbc 2975 df-un 3145 df-in 3147 df-ss 3154 df-pw 3589 df-sn 3610 df-pr 3611 df-op 3613 df-uni 3822 df-int 3857 df-br 4016 df-opab 4077 df-mpt 4078 df-id 4305 df-xp 4644 df-rel 4645 df-cnv 4646 df-co 4647 df-dm 4648 df-rn 4649 df-res 4650 df-iota 5190 df-fun 5230 df-fv 5236 df-ov 5891 df-inn 8933 df-2 8991 df-ndx 12478 df-slot 12479 df-plusg 12563 |
| This theorem is referenced by: ressplusgd
12601 rngplusgg
12609 srngplusgd
12620 lmodplusgd
12638 ipsaddgd
12650 topgrpplusgd
12670 imasex
12743 imasival
12744 imasbas
12745 imasplusg
12746 imasaddfn
12755 imasaddval
12756 imasaddf
12757 qusaddval
12772 qusaddf
12773 ismgm
12794 plusfvalg
12800 plusffng
12802 issgrp
12827 ismnddef
12838 grppropstrg
12914 grpsubval
12940 mulgval
13014 mulgfng
13016 mulg1
13019 mulgnnp1
13020 mulgnndir
13041 subgintm
13087 isnsg
13091 fnmgp
13164 mgpvalg
13165 mgpplusgg
13166 mgpex
13167 mgpbasg
13168 mgpscag
13169 mgptsetg
13170 mgpdsg
13172 mgpress
13173 isrng
13176 issrg
13202 isring
13237 ring1
13294 oppraddg
13309 islmod
13444 rmodislmod
13504 lsssn0
13523 lss1d
13536 lssintclm
13537 sraaddgg
13593 cnfldadd
13686 |
