Colors of
variables: wff
setvar class |
Syntax hints:
โง wa 397 = wceq 1542
{cab 2710 โwral 3062
{crab 3433 โ cdif 3946
โฉ cin 3948 โ
wss 3949 {csn 4629
โช cuni 4909
class class class wbr 5149 โฆ cmpt 5232
dom cdm 5677 ran crn 5678
โ cima 5680 Rel wrel 5682
โถwf 6540 โcfv 6544 (class class class)co 7409
Xcixp 8891
finSupp cfsupp 9361 0gc0g 17385
ฮฃg cgsu 17386
mrClscmrc 17527 Grpcgrp 18819
SubGrpcsubg 19000 Cntzccntz 19179 DProd cdprd 19863 |
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-sep 5300 ax-nul 5307 ax-pr 5428 |
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-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-br 5150 df-opab 5212 df-xp 5683 df-rel 5684 df-dm 5687 df-oprab 7413 df-mpo 7414 df-dprd 19865 |
This theorem is referenced by: dprddomprc
19870 dprdval0prc
19872 dprdval
19873 dprdgrp
19875 dprdf
19876 dprdssv
19886 subgdmdprd
19904 dprd2da
19912 dpjfval
19925 |