Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 β wss 3949
βcfv 6544 Basecbs 17144
Unitcui 20169 |
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-rep 5286 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 |
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-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 2942 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 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-fv 6552 df-ov 7412 df-dvdsr 20171 df-unit 20172 |
This theorem is referenced by: unitgrpbas
20196 unitgrpid
20199 unitsubm
20200 dvrdir
20226 rdivmuldivd
20227 invrpropd
20232 elrhmunit
20289 rhmunitinv
20290 issubdrg
20401 imadrhmcl
20413 fidomndrng
20926 znunithash
21120 dvrcn
23688 nmdvr
24187 nrginvrcnlem
24208 nrginvrcn
24209 dchrelbasd
26742 dchrinvcl
26756 dchrghm
26759 dchr1
26760 dchreq
26761 dchrresb
26762 dchrabs
26763 dchrinv
26764 dchrptlem1
26767 dchrptlem2
26768 dchrpt
26770 dchrsum2
26771 dchrsum
26772 sum2dchr
26777 lgsdchr
26858 rpvmasum2
27015 dvrcan5
32385 isdrng4
32395 dvdsruassoi
32489 lidlunitel
32541 idomodle
41938 |