Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1541 โ wcel 2106
(class class class)co 7408 1c1 11110
-cneg 11444 โchba 30167
+โ cva 30168
ยทโ csm 30169
โโ cmv 30173 |
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-11 2154 ax-12 2171 ax-ext 2703 ax-sep 5299 ax-nul 5306 ax-pr 5427 |
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-nfc 2885 df-ne 2941 df-ral 3062 df-rex 3071 df-rab 3433 df-v 3476 df-sbc 3778 df-dif 3951 df-un 3953 df-in 3955 df-ss 3965 df-nul 4323 df-if 4529 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-iota 6495 df-fun 6545 df-fv 6551 df-ov 7411 df-oprab 7412 df-mpo 7413 df-hvsub 30219 |
This theorem is referenced by: hvsubsub4i
30307 hvnegdii
30310 hvsubeq0i
30311 hvsubcan2i
30312 hvsubaddi
30314 normlem0
30357 normlem9
30366 norm3difi
30395 normpar2i
30404 pjsubii
30926 pjssmii
30929 pjcji
30932 lnophmlem2
31265 |