Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ w3a 1087
= wceq 1541 ∈
wcel 2106 ‘cfv 6543
(class class class)co 7408 Basecbs 17143
+gcplusg 17196 CMndccmn 19647
Abelcabl 19648 |
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-12 2171 ax-ext 2703 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-sb 2068 df-clab 2710 df-cleq 2724 df-clel 2810 df-ral 3062 df-rex 3071 df-rab 3433 df-v 3476 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-br 5149 df-iota 6495 df-fv 6551 df-ov 7411 df-cmn 19649 df-abl 19650 |
This theorem is referenced by: ablinvadd
19674 ablsub2inv
19675 ablsubadd
19676 abladdsub
19679 ablsubaddsub
19681 ablpncan3
19683 ablsub32
19688 ablnnncan
19689 ablsubsub23
19691 eqgabl
19701 subgabl
19703 ablnsg
19714 lsmcomx
19723 qusabl
19732 frgpnabl
19742 imasabl
19743 ngplcan
24119 clmnegsubdi2
24620 clmvsubval2
24625 ncvspi
24672 r1pid
25676 abliso
32192 lindsunlem
32704 cnaddcom
37837 toycom
37838 lflsub
37932 lfladdcom
37937 subrngringnsg
46722 |