| Colors of
variables: wff
setvar class |
Syntax hints: ->wi 4 <->wb 184
=wceq 1395 e.wcel 1818 class class class wbr 4452
con0 4883 domcdm 5004 `cfv 5593
com 6700
cen 7533 cfn 7536 ccrd 8337 |
| This theorem is referenced by: card1
8370 cardennn
8385 cardsucnn
8387 nnsdomel
8392 pm54.43lem
8401 iscard3
8495 nnacda
8602 ficardun
8603 ficardun2
8604 pwsdompw
8605 ackbij2
8644 sdom2en01
8703 fin23lem22
8728 fin1a2lem9
8809 ficard
8961 cfpwsdom
8980 cardfz
12080 hashgval2
12446 hashdom
12447 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704
ax-6 1747 ax-7 1790 ax-8 1820
ax-9 1822 ax-10 1837 ax-11 1842 ax-12 1854 ax-13 1999 ax-ext 2435 ax-sep 4573 ax-nul 4581 ax-pow 4630 ax-pr 4691 ax-un 6592 |
| This theorem depends on definitions:
df-bi 185 df-or 370
df-an 371 df-3or 974 df-3an 975 df-tru 1398 df-ex 1613 df-nf 1617 df-sb 1740 df-eu 2286 df-mo 2287 df-clab 2443 df-cleq 2449 df-clel 2452 df-nfc 2607 df-ne 2654 df-ral 2812 df-rex 2813 df-rab 2816 df-v 3111 df-sbc 3328 df-dif 3478 df-un 3480 df-in 3482 df-ss 3489 df-pss 3491 df-nul 3785 df-if 3942 df-pw 4014 df-sn 4030 df-pr 4032 df-tp 4034 df-op 4036 df-uni 4250 df-int 4287 df-br 4453 df-opab 4511 df-mpt 4512 df-tr 4546 df-eprel 4796 df-id 4800 df-po 4805 df-so 4806 df-fr 4843 df-we 4845 df-ord 4886 df-on 4887 df-lim 4888 df-suc 4889 df-xp 5010 df-rel 5011 df-cnv 5012 df-co 5013 df-dm 5014 df-rn 5015 df-res 5016 df-ima 5017 df-iota 5556 df-fun 5595 df-fn 5596 df-f 5597 df-f1 5598 df-fo 5599 df-f1o 5600 df-fv 5601 df-om 6701 df-er 7330 df-en 7537 df-dom 7538 df-sdom 7539 df-fin 7540 df-card 8341 |
