Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∈ wcel 2107
class class class wbr 5110 I cid 5535
↾ cres 5640 –1-1-onto→wf1o 6500 ≈
cen 8887 |
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 2708 ax-sep 5261 ax-nul 5268 ax-pow 5325 ax-pr 5389 ax-un 7677 |
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 2539 df-eu 2568 df-clab 2715 df-cleq 2729 df-clel 2815 df-ral 3066 df-rex 3075 df-rab 3411 df-v 3450 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-pw 4567 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-opab 5173 df-id 5536 df-xp 5644 df-rel 5645 df-cnv 5646 df-co 5647 df-dm 5648 df-rn 5649 df-res 5650 df-ima 5651 df-fun 6503 df-fn 6504 df-f 6505 df-f1 6506 df-fo 6507 df-f1o 6508 df-en 8891 |
This theorem is referenced by: enref
8932 eqeng
8933 domrefg
8934 difsnen
9004 sdomirr
9065 mapdom1
9093 mapdom2
9099 rneqdmfinf1o
9279 infdifsn
9600 infdiffi
9601 onenon
9892 cardonle
9900 dju1en
10114 xpdjuen
10122 mapdjuen
10123 onadju
10136 nnadju
10140 ssfin4
10253 canthp1lem1
10595 gchhar
10622 hashfac
14364 mreexexlem3d
17533 cyggenod
19668 fidomndrnglem
20793 mdetunilem8
21984 frlmpwfi
41454 fiuneneq
41553 enrelmap
42343 |