| Colors of
variables: wff
setvar class |
| Syntax hints:
→ wi 4 ∧ wa 394
∈ wcel 2104 ⊆
wss 3947 class class class wbr 5147
dom cdm 5675 ≼ cdom 8939
cardccrd 9932 |
| 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-rep 5284 ax-sep 5298 ax-nul 5305 ax-pow 5362 ax-pr 5426 ax-un 7727 |
| 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-ral 3060 df-rex 3069 df-rmo 3374 df-reu 3375 df-rab 3431 df-v 3474 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-pss 3966 df-nul 4322 df-if 4528 df-pw 4603 df-sn 4628 df-pr 4630 df-op 4634 df-uni 4908 df-int 4950 df-iun 4998 df-br 5148 df-opab 5210 df-mpt 5231 df-tr 5265 df-id 5573 df-eprel 5579 df-po 5587 df-so 5588 df-fr 5630 df-se 5631 df-we 5632 df-xp 5681 df-rel 5682 df-cnv 5683 df-co 5684 df-dm 5685 df-rn 5686 df-res 5687 df-ima 5688 df-pred 6299 df-ord 6366 df-on 6367 df-suc 6369 df-iota 6494 df-fun 6544 df-fn 6545 df-f 6546 df-f1 6547 df-fo 6548 df-f1o 6549 df-fv 6550 df-isom 6551 df-riota 7367 df-ov 7414 df-2nd 7978 df-frecs 8268 df-wrecs 8299 df-recs 8373 df-er 8705 df-en 8942 df-dom 8943 df-card 9936 |
| This theorem is referenced by: onssnum
10037 numacn
10046 dfac12r
10143 infdif
10206 fin23lem22
10324 ttukey2g
10513 smobeth
10583 canthnumlem
10645 gchac
10678 tskurn
10786 lbsextlem4
20919 1stcrestlem
23176 2ndcsep
23183 filssufilg
23635 ptcmplem2
23777 ptcmplem3
23778 poimirlem32
36823 ttac
42077 rn1st
44276 |
