Colors of
variables: wff
setvar class |
Syntax hints:
โง wa 396 = wceq 1541
{cab 2709 โwral 3061
{crab 3432 โ cdif 3945
โฉ cin 3947 โ
wss 3948 {csn 4628
โช cuni 4908
class class class wbr 5148 โฆ cmpt 5231
dom cdm 5676 ran crn 5677
โ cima 5679 Rel wrel 5681
โถwf 6539 โcfv 6543 (class class class)co 7411
Xcixp 8893
finSupp cfsupp 9363 0gc0g 17387
ฮฃg cgsu 17388
mrClscmrc 17529 Grpcgrp 18821
SubGrpcsubg 19002 Cntzccntz 19181 DProd cdprd 19865 |
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-10 2137 ax-11 2154 ax-12 2171 ax-ext 2703 ax-sep 5299 ax-nul 5306 ax-pr 5427 |
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-nf 1786 df-sb 2068 df-mo 2534 df-eu 2563 df-clab 2710 df-cleq 2724 df-clel 2810 df-nfc 2885 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-br 5149 df-opab 5211 df-xp 5682 df-rel 5683 df-dm 5686 df-oprab 7415 df-mpo 7416 df-dprd 19867 |
This theorem is referenced by: dprddomprc
19872 dprdval0prc
19874 dprdval
19875 dprdgrp
19877 dprdf
19878 dprdssv
19888 subgdmdprd
19906 dprd2da
19914 dpjfval
19927 |