Colors of
variables: wff
setvar class |
Syntax hints:
β wi 4 β wb 205
β§ wa 395 βwex 1774 β wcel 2099
βwral 3058 β©
cin 3946 β wss 3947
π« cpw 4603 βͺ cuni 4908 β cima 5681
βΆwf 6544 βcfv 6548 Fincfn 8964
Moorecmre 17562 ACScacs 17565 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1790 ax-4 1804 ax-5 1906
ax-6 1964 ax-7 2004 ax-8 2101
ax-9 2109 ax-10 2130 ax-11 2147 ax-12 2167 ax-ext 2699 ax-sep 5299 ax-nul 5306 ax-pr 5429 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 847 df-3an 1087 df-tru 1537 df-fal 1547 df-ex 1775 df-nf 1779 df-sb 2061 df-mo 2530 df-eu 2559 df-clab 2706 df-cleq 2720 df-clel 2806 df-nfc 2881 df-ne 2938 df-ral 3059 df-rex 3068 df-rab 3430 df-v 3473 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4909 df-br 5149 df-opab 5211 df-mpt 5232 df-id 5576 df-xp 5684 df-rel 5685 df-cnv 5686 df-co 5687 df-dm 5688 df-rn 5689 df-iota 6500 df-fun 6550 df-fn 6551 df-f 6552 df-fv 6556 df-acs 17569 |
This theorem is referenced by: acsfiel
17634 acsmred
17636 mreacs
17638 isacs3lem
18534 symggen
19425 odf1o1
19527 lsmmod
19630 gsumzsplit
19882 gsumzoppg
19899 gsumpt
19917 dmdprdd
19956 dprdfeq0
19979 dprdspan
19984 dprdres
19985 dprdss
19986 subgdmdprd
19991 subgdprd
19992 dprdsn
19993 dprd2dlem1
19998 dprd2da
19999 dmdprdsplit2lem
20002 ablfac1b
20027 pgpfac1lem1
20031 pgpfac1lem3
20034 pgpfac1lem4
20035 pgpfac1lem5
20036 pgpfaclem2
20039 isnacs2
42126 proot1mul
42622 proot1hash
42623 |