Colors of
variables: wff
setvar class |
Syntax hints:
โ wi 4 โง wa 396
โ wcel 2106 โ
wss 3948 ร cxp 5674
โ cima 5679 โcc 11107 โchba 30167
+โ cva 30168
ยทโ csm 30169
0โc0v 30172
Sโ csh 30176 |
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-ext 2703 ax-sep 5299 ax-hilex 30247 |
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-sb 2068 df-clab 2710 df-cleq 2724 df-clel 2810 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-br 5149 df-opab 5211 df-xp 5682 df-cnv 5684 df-dm 5686 df-rn 5687 df-res 5688 df-ima 5689 df-sh 30455 |
This theorem is referenced by: shel
30459 shex
30460 shssii
30461 shsubcl
30468 chss
30477 shsspwh
30494 hhsssh
30517 shocel
30530 shocsh
30532 ocss
30533 shocss
30534 shocorth
30540 shococss
30542 shorth
30543 shoccl
30553 shsel
30562 shintcli
30577 spanid
30595 shjval
30599 shjcl
30604 shlej1
30608 shlub
30662 chscllem2
30886 chscllem4
30888 |