| Colors of
variables: wff
setvar class |
| Syntax hints:
→ wi 4 ∈ wcel 2098
Vcvv 3471 dom cdm 5680
cardccrd 9964 |
| 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 2166 ax-ext 2698 ax-rep 5287 ax-sep 5301 ax-nul 5308 ax-pow 5367 ax-pr 5431 ax-un 7744 ax-ac2 10492 |
| This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2529 df-eu 2558 df-clab 2705 df-cleq 2719 df-clel 2805 df-nfc 2880 df-ne 2937 df-ral 3058 df-rex 3067 df-rmo 3372 df-reu 3373 df-rab 3429 df-v 3473 df-sbc 3777 df-csb 3893 df-dif 3950 df-un 3952 df-in 3954 df-ss 3964 df-pss 3966 df-nul 4325 df-if 4531 df-pw 4606 df-sn 4631 df-pr 4633 df-op 4637 df-uni 4911 df-int 4952 df-iun 5000 df-br 5151 df-opab 5213 df-mpt 5234 df-tr 5268 df-id 5578 df-eprel 5584 df-po 5592 df-so 5593 df-fr 5635 df-se 5636 df-we 5637 df-xp 5686 df-rel 5687 df-cnv 5688 df-co 5689 df-dm 5690 df-rn 5691 df-res 5692 df-ima 5693 df-pred 6308 df-ord 6375 df-on 6376 df-suc 6378 df-iota 6503 df-fun 6553 df-fn 6554 df-f 6555 df-f1 6556 df-fo 6557 df-f1o 6558 df-fv 6559 df-isom 6560 df-riota 7380 df-ov 7427 df-2nd 7998 df-frecs 8291 df-wrecs 8322 df-recs 8396 df-en 8969 df-card 9968 df-ac 10145 |
| This theorem is referenced by: numth2
10500 ac5b
10507 ac6
10509 zorn2
10535 zorn
10536 zornn0
10537 ttukey
10547 fodomg
10551 wdomac
10556 iundom
10571 cardval
10575 cardid
10576 carden
10580 carddom
10583 cardsdom
10584 domtri
10585 sdomsdomcard
10589 infxpidm
10591 ondomon
10592 infmap
10605 aleph1irr
16228 lbsext
21056 hauspwdom
23423 filssufil
23834 ufilen
23852 minregex2
42968 |
