Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ w3a 1086
= wceq 1540 ∈
wcel 2105 ‘cfv 6544
(class class class)co 7412 Basecbs 17149
Grpcgrp 18856 -gcsg 18858 LModclmod 20615 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1796 ax-4 1810 ax-5 1912
ax-6 1970 ax-7 2010 ax-8 2107
ax-9 2115 ax-10 2136 ax-11 2153 ax-12 2170 ax-ext 2702 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7728 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3an 1088 df-tru 1543 df-fal 1553 df-ex 1781 df-nf 1785 df-sb 2067 df-mo 2533 df-eu 2562 df-clab 2709 df-cleq 2723 df-clel 2809 df-nfc 2884 df-ne 2940 df-ral 3061 df-rex 3070 df-rmo 3375 df-reu 3376 df-rab 3432 df-v 3475 df-sbc 3779 df-csb 3895 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 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-id 5575 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-iota 6496 df-fun 6546 df-fn 6547 df-f 6548 df-fv 6552 df-riota 7368 df-ov 7415 df-oprab 7416 df-mpo 7417 df-1st 7978 df-2nd 7979 df-0g 17392 df-mgm 18566 df-sgrp 18645 df-mnd 18661 df-grp 18859 df-minusg 18860 df-sbg 18861 df-lmod 20617 |
This theorem is referenced by: lspsnsub
20763 lvecvscan
20870 ip2subdi
21417 ip2eq
21426 ipcau2
24983 nmparlem
24988 minveclem1
25173 minveclem2
25175 minveclem4
25181 minveclem6
25183 pjthlem1
25186 pjthlem2
25187 eqlkr
38273 lkrlsp
38276 mapdpglem1
40847 mapdpglem2
40848 mapdpglem5N
40852 mapdpglem8
40854 mapdpglem9
40855 mapdpglem13
40859 mapdpglem14
40860 mapdpglem27
40874 baerlem3lem2
40885 baerlem5alem2
40886 baerlem5blem2
40887 mapdheq4lem
40906 mapdh6lem1N
40908 mapdh6lem2N
40909 hdmap1l6lem1
40982 hdmap1l6lem2
40983 hdmap11
41023 hdmapinvlem4
41096 |