Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2106
class class class wbr 5148 I cid 5573
↾ cres 5678 –1-1-onto→wf1o 6542 ≈
cen 8938 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1797 ax-4 1811 ax-5 1913
ax-6 1971 ax-7 2011 ax-8 2108
ax-9 2116 ax-10 2137 ax-12 2171 ax-ext 2703 ax-sep 5299 ax-nul 5306 ax-pow 5363 ax-pr 5427 ax-un 7727 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 846 df-3an 1089 df-tru 1544 df-fal 1554 df-ex 1782 df-nf 1786 df-sb 2068 df-mo 2534 df-eu 2563 df-clab 2710 df-cleq 2724 df-clel 2810 df-ral 3062 df-rex 3071 df-rab 3433 df-v 3476 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 df-pw 4604 df-sn 4629 df-pr 4631 df-op 4635 df-uni 4909 df-br 5149 df-opab 5211 df-id 5574 df-xp 5682 df-rel 5683 df-cnv 5684 df-co 5685 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-fun 6545 df-fn 6546 df-f 6547 df-f1 6548 df-fo 6549 df-f1o 6550 df-en 8942 |
This theorem is referenced by: enref
8983 eqeng
8984 domrefg
8985 difsnen
9055 sdomirr
9116 mapdom1
9144 mapdom2
9150 rneqdmfinf1o
9330 infdifsn
9654 infdiffi
9655 onenon
9946 cardonle
9954 dju1en
10168 xpdjuen
10176 mapdjuen
10177 onadju
10190 nnadju
10194 ssfin4
10307 canthp1lem1
10649 gchhar
10676 hashfac
14423 mreexexlem3d
17594 cyggenod
19793 mdetunilem8
22341 frlmpwfi
42142 fiuneneq
42241 enrelmap
43050 |