Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 394
∧ w3a 1084 = wceq 1533
∈ wcel 2098 ‘cfv 6551 (class class class)co 7424
Basecbs 17185 +gcplusg 17238 Grpcgrp 18895
LModclmod 20748 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-ext 2698 ax-nul 5308 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-sb 2060 df-clab 2705 df-cleq 2719 df-clel 2805 df-ne 2937 df-ral 3058 df-rex 3067 df-rab 3429 df-v 3473 df-sbc 3777 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4325 df-if 4531 df-sn 4631 df-pr 4633 df-op 4637 df-uni 4911 df-br 5151 df-iota 6503 df-fv 6559 df-ov 7427 df-sgrp 18684 df-mnd 18700 df-grp 18898 df-lmod 20750 |
This theorem is referenced by: lmodvneg1
20793 lmodcom
20796 baerlem5alem1
41185 mapdh6gN
41219 mapdh6hN
41220 hdmap1l6g
41293 hdmap1l6h
41294 |