Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ w3a 1088
= wceq 1542 ∈
wcel 2107 ‘cfv 6544
(class class class)co 7409 Basecbs 17144
+gcplusg 17197 CMndccmn 19648
Abelcabl 19649 |
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-12 2172 ax-ext 2704 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-sb 2069 df-clab 2711 df-cleq 2725 df-clel 2811 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-iota 6496 df-fv 6552 df-ov 7412 df-cmn 19650 df-abl 19651 |
This theorem is referenced by: ablinvadd
19675 ablsub2inv
19676 ablsubadd
19677 abladdsub
19680 ablsubaddsub
19682 ablpncan3
19684 ablsub32
19689 ablnnncan
19690 ablsubsub23
19692 eqgabl
19702 subgabl
19704 ablnsg
19715 lsmcomx
19724 qusabl
19733 frgpnabl
19743 imasabl
19744 ngplcan
24120 clmnegsubdi2
24621 clmvsubval2
24626 ncvspi
24673 r1pid
25677 abliso
32197 lindsunlem
32709 cnaddcom
37842 toycom
37843 lflsub
37937 lfladdcom
37942 subrngringnsg
46732 |