Colors of
variables: wff
setvar class |
Syntax hints:
โ wi 4 โง wa 397
โ wcel 2107 โ
wss 3949 ร cxp 5675
โ cima 5680 โcc 11108 โchba 30172
+โ cva 30173
ยทโ csm 30174
0โc0v 30177
Sโ csh 30181 |
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-ext 2704 ax-sep 5300 ax-hilex 30252 |
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-sb 2069 df-clab 2711 df-cleq 2725 df-clel 2811 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-br 5150 df-opab 5212 df-xp 5683 df-cnv 5685 df-dm 5687 df-rn 5688 df-res 5689 df-ima 5690 df-sh 30460 |
This theorem is referenced by: shel
30464 shex
30465 shssii
30466 shsubcl
30473 chss
30482 shsspwh
30499 hhsssh
30522 shocel
30535 shocsh
30537 ocss
30538 shocss
30539 shocorth
30545 shococss
30547 shorth
30548 shoccl
30558 shsel
30567 shintcli
30582 spanid
30600 shjval
30604 shjcl
30609 shlej1
30613 shlub
30667 chscllem2
30891 chscllem4
30893 |