| Colors of
variables: wff
setvar class |
| Syntax hints:
→ wi 4 ∈ wcel 2098
Vcvv 3468 dom cdm 5669
cardccrd 9929 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2697 ax-rep 5278 ax-sep 5292 ax-nul 5299 ax-pow 5356 ax-pr 5420 ax-un 7721 ax-ac2 10457 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ne 2935 df-ral 3056 df-rex 3065 df-rmo 3370 df-reu 3371 df-rab 3427 df-v 3470 df-sbc 3773 df-csb 3889 df-dif 3946 df-un 3948 df-in 3950 df-ss 3960 df-pss 3962 df-nul 4318 df-if 4524 df-pw 4599 df-sn 4624 df-pr 4626 df-op 4630 df-uni 4903 df-int 4944 df-iun 4992 df-br 5142 df-opab 5204 df-mpt 5225 df-tr 5259 df-id 5567 df-eprel 5573 df-po 5581 df-so 5582 df-fr 5624 df-se 5625 df-we 5626 df-xp 5675 df-rel 5676 df-cnv 5677 df-co 5678 df-dm 5679 df-rn 5680 df-res 5681 df-ima 5682 df-pred 6293 df-ord 6360 df-on 6361 df-suc 6363 df-iota 6488 df-fun 6538 df-fn 6539 df-f 6540 df-f1 6541 df-fo 6542 df-f1o 6543 df-fv 6544 df-isom 6545 df-riota 7360 df-ov 7407 df-2nd 7972 df-frecs 8264 df-wrecs 8295 df-recs 8369 df-en 8939 df-card 9933 df-ac 10110 |
| This theorem is referenced by: numth2
10465 ac5b
10472 ac6
10474 zorn2
10500 zorn
10501 zornn0
10502 ttukey
10512 fodomg
10516 wdomac
10521 iundom
10536 cardval
10540 cardid
10541 carden
10545 carddom
10548 cardsdom
10549 domtri
10550 sdomsdomcard
10554 infxpidm
10556 ondomon
10557 infmap
10570 aleph1irr
16194 lbsext
21012 hauspwdom
23356 filssufil
23767 ufilen
23785 minregex2
42843 |
