| Colors of
variables: wff
setvar class |
| Syntax hints:
= wceq 1542 ‘cfv 6544
2c2 12267 Slot cslot 17114 ndxcnx 17126
+gcplusg 17197 |
| 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 2704 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 ax-cnex 11166 ax-1cn 11168 ax-addcl 11170 |
| This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-nfc 2886 df-ne 2942 df-ral 3063 df-rex 3072 df-reu 3378 df-rab 3434 df-v 3477 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-pss 3968 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-iun 5000 df-br 5150 df-opab 5212 df-mpt 5233 df-tr 5267 df-id 5575 df-eprel 5581 df-po 5589 df-so 5590 df-fr 5632 df-we 5634 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-pred 6301 df-ord 6368 df-on 6369 df-lim 6370 df-suc 6371 df-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-ov 7412 df-om 7856 df-2nd 7976 df-frecs 8266 df-wrecs 8297 df-recs 8371 df-rdg 8410 df-nn 12213 df-2 12275
df-slot 17115 df-ndx 17127 df-plusg 17210 |
| This theorem is referenced by: grpplusg
17233 ressplusg
17235 rngplusg
17245 srngplusg
17256 lmodplusg
17272 ipsaddg
17283 phlplusg
17293 topgrpplusg
17308 odrngplusg
17350 prdsplusg
17404 imasplusg
17463 frmdplusg
18735 efmndplusg
18761 grpss
18840 oppgplusfval
19212 mgpplusg
19991 oppradd
20159 rmodislmod
20540 rmodislmodOLD
20541 sraaddg
20794 cnfldadd
20949 zlmplusg
21070 znadd
21094 psrplusg
21500 opsrplusg
21608 ply1plusgfvi
21764 matplusg
21914 tngplusg
24153 ttgplusg
28132 resvplusg
32449 idlsrgplusg
32619 bj-endcomp
36198 hlhilsplus
40813 algaddg
41921 mendplusgfval
41927 mnringaddgd
42976 cznabel
46852 cznrng
46853 |
