Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 ‘cfv 6497
5c5 12216 Slot cslot 17058 ndxcnx 17070
Scalarcsca 17141 |
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 5257 ax-nul 5264 ax-pow 5321 ax-pr 5385 ax-un 7673 ax-cnex 11112 ax-1cn 11114 ax-addcl 11116 |
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 2941 df-ral 3062 df-rex 3071 df-reu 3353 df-rab 3407 df-v 3446 df-sbc 3741 df-csb 3857 df-dif 3914 df-un 3916 df-in 3918 df-ss 3928 df-pss 3930 df-nul 4284 df-if 4488 df-pw 4563 df-sn 4588 df-pr 4590 df-op 4594 df-uni 4867 df-iun 4957 df-br 5107 df-opab 5169 df-mpt 5190 df-tr 5224 df-id 5532 df-eprel 5538 df-po 5546 df-so 5547 df-fr 5589 df-we 5591 df-xp 5640 df-rel 5641 df-cnv 5642 df-co 5643 df-dm 5644 df-rn 5645 df-res 5646 df-ima 5647 df-pred 6254 df-ord 6321 df-on 6322 df-lim 6323 df-suc 6324 df-iota 6449 df-fun 6499 df-fn 6500 df-f 6501 df-f1 6502 df-fo 6503 df-f1o 6504 df-fv 6505 df-ov 7361 df-om 7804 df-2nd 7923 df-frecs 8213 df-wrecs 8244 df-recs 8318 df-rdg 8357 df-nn 12159 df-2 12221
df-3 12222 df-4 12223
df-5 12224 df-slot 17059 df-ndx 17071 df-sca 17154 |
This theorem is referenced by: lmodsca
17214 ipssca
17226 resssca
17229 phlsca
17235 prdssca
17343 imassca
17406 mgpsca
19909 rmodislmod
20405 rmodislmodOLD
20406 srasca
20662 srascaOLD
20663 zlmsca
20941 psrsca
21373 opsrsca
21476 psr1sca2
21638 ply1sca2
21641 matsca
21778 matscaOLD
21779 tngsca
24021 resvsca
32168 bj-isrvec
35811 algsca
41551 mendsca
41559 mnringscad
42590 |