Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2104
‘cfv 6544 ℤcz 12564 ℤ≥cuz 12828 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1795 ax-4 1809 ax-5 1911
ax-6 1969 ax-7 2009 ax-8 2106
ax-9 2114 ax-10 2135 ax-11 2152 ax-12 2169 ax-ext 2701 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7729 ax-cnex 11170 ax-resscn 11171 ax-pre-lttri 11188 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 844 df-3or 1086 df-3an 1087 df-tru 1542 df-fal 1552 df-ex 1780 df-nf 1784 df-sb 2066 df-mo 2532 df-eu 2561 df-clab 2708 df-cleq 2722 df-clel 2808 df-nfc 2883 df-ne 2939 df-nel 3045 df-ral 3060 df-rex 3069 df-rab 3431 df-v 3474 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-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-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-fv 6552 df-ov 7416 df-er 8707 df-en 8944 df-dom 8945 df-sdom 8946 df-pnf 11256 df-mnf 11257 df-xr 11258 df-ltxr 11259 df-le 11260 df-neg 11453 df-z 12565
df-uz 12829 |
This theorem is referenced by: ccatass
14544 ccatrn
14545 swrdccat2
14625 pfxccat1
14658 splfv1
14711 splval2
14713 revccat
14722 ntrivcvgn0
15850 gsumsplit1r
18614 gsumsgrpccat
18759 efginvrel2
19638 signstfvp
33878 poimirlem20
36813 aks4d1p1p3
41242 aks4d1p1p4
41244 aks4d1p1p6
41246 aks4d1p1p7
41247 aks4d1p1p5
41248 aks4d1p1
41249 aks4d1p6
41254 sumcubes
41515 uzidd2
44426 uzinico3
44576 smflimsuplem7
45842 smflimsuplem8
45843 smflimsupmpt
45845 smfliminfmpt
45848 |