Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
class class class wbr 5149 I cid 5574
↾ cres 5679 –1-1-onto→wf1o 6543 ≈
cen 8936 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-10 2138 ax-12 2172 ax-ext 2704 ax-sep 5300 ax-nul 5307 ax-pow 5364 ax-pr 5428 ax-un 7725 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-nf 1787 df-sb 2069 df-mo 2535 df-eu 2564 df-clab 2711 df-cleq 2725 df-clel 2811 df-ral 3063 df-rex 3072 df-rab 3434 df-v 3477 df-dif 3952 df-un 3954 df-in 3956 df-ss 3966 df-nul 4324 df-if 4530 df-pw 4605 df-sn 4630 df-pr 4632 df-op 4636 df-uni 4910 df-br 5150 df-opab 5212 df-id 5575 df-xp 5683 df-rel 5684 df-cnv 5685 df-co 5686 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-fun 6546 df-fn 6547 df-f 6548 df-f1 6549 df-fo 6550 df-f1o 6551 df-en 8940 |
This theorem is referenced by: enref
8981 eqeng
8982 domrefg
8983 difsnen
9053 sdomirr
9114 mapdom1
9142 mapdom2
9148 rneqdmfinf1o
9328 infdifsn
9652 infdiffi
9653 onenon
9944 cardonle
9952 dju1en
10166 xpdjuen
10174 mapdjuen
10175 onadju
10188 nnadju
10192 ssfin4
10305 canthp1lem1
10647 gchhar
10674 hashfac
14419 mreexexlem3d
17590 cyggenod
19752 fidomndrnglem
20925 mdetunilem8
22121 frlmpwfi
41840 fiuneneq
41939 enrelmap
42748 |