| Colors of
variables: wff
setvar class |
| Syntax hints:
= wceq 1541 ‘cfv 6540
5c5 12266 Slot cslot 17110 ndxcnx 17122
Scalarcsca 17196 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-11 2154 ax-12 2171 ax-ext 2703 ax-sep 5298 ax-nul 5305 ax-pow 5362 ax-pr 5426 ax-un 7721 ax-cnex 11162 ax-1cn 11164 ax-addcl 11166 |
| This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3or 1088 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2534 df-eu 2563 df-clab 2710 df-cleq 2724 df-clel 2810 df-nfc 2885 df-ne 2941 df-ral 3062 df-rex 3071 df-reu 3377 df-rab 3433 df-v 3476 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-pss 3966 df-nul 4322 df-if 4528 df-pw 4603 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-iun 4998 df-br 5148 df-opab 5210 df-mpt 5231 df-tr 5265 df-id 5573 df-eprel 5579 df-po 5587 df-so 5588 df-fr 5630 df-we 5632 df-xp 5681 df-rel 5682 df-cnv 5683 df-co 5684 df-dm 5685 df-rn 5686 df-res 5687 df-ima 5688 df-pred 6297 df-ord 6364 df-on 6365 df-lim 6366 df-suc 6367 df-iota 6492 df-fun 6542 df-fn 6543 df-f 6544 df-f1 6545 df-fo 6546 df-f1o 6547 df-fv 6548 df-ov 7408 df-om 7852 df-2nd 7972 df-frecs 8262 df-wrecs 8293 df-recs 8367 df-rdg 8406 df-nn 12209 df-2 12271
df-3 12272 df-4 12273
df-5 12274 df-slot 17111 df-ndx 17123 df-sca 17209 |
| This theorem is referenced by: lmodsca
17269 ipssca
17281 resssca
17284 phlsca
17290 prdssca
17398 imassca
17461 mgpsca
19989 rmodislmod
20532 rmodislmodOLD
20533 srasca
20790 srascaOLD
20791 zlmsca
21065 psrsca
21499 opsrsca
21605 psr1sca2
21764 ply1sca2
21767 matsca
21906 matscaOLD
21907 tngsca
24149 resvsca
32432 bj-isrvec
36163 algsca
41908 mendsca
41916 mnringscad
42966 |
