Colors of
variables: wff
setvar class |
Syntax hints:
β wcel 2107 βͺ cuni 4909 β cima 5680
Oncon0 6365 βcfv 6544
π
1cr1 9757
rankcrnk 9758 |
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-pow 5364 ax-pr 5428 ax-un 7725 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3or 1089 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-reu 3378 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-pss 3968 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-int 4952 df-iun 5000 df-br 5150 df-opab 5212 df-mpt 5233 df-tr 5267 df-id 5575 df-eprel 5581 df-po 5589 df-so 5590 df-fr 5632 df-we 5634 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-pred 6301 df-ord 6368 df-on 6369 df-lim 6370 df-suc 6371 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 7412 df-om 7856 df-2nd 7976 df-frecs 8266 df-wrecs 8297 df-recs 8371 df-rdg 8410 df-r1 9759 df-rank 9760 |
This theorem is referenced by: rankr1ai
9793 rankr1bg
9798 rankr1clem
9815 rankr1c
9816 rankpwi
9818 rankelb
9819 wfelirr
9820 rankval3b
9821 ranksnb
9822 rankr1a
9831 bndrank
9836 unbndrank
9837 rankunb
9845 rankprb
9846 rankuni2b
9848 rankuni
9858 rankuniss
9861 rankval4
9862 rankbnd2
9864 rankc1
9865 rankc2
9866 rankelun
9867 rankelpr
9868 rankelop
9869 rankmapu
9873 rankxplim
9874 rankxplim3
9876 rankxpsuc
9877 tcrank
9879 scottex
9880 scott0
9881 dfac12lem2
10139 hsmexlem5
10425 r1limwun
10731 wunex3
10736 rankcf
10772 grur1
10815 elhf2
35147 hfuni
35156 dfac11
41804 gruex
43057 |