Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1533 โ wcel 2098
(class class class)co 7416 1c1 11139
-cneg 11475 โchba 30773
+โ cva 30774
ยทโ csm 30775
โโ cmv 30779 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2166 ax-ext 2696 ax-sep 5294 ax-nul 5301 ax-pr 5423 |
This theorem depends on definitions:
df-bi 206 df-an 395
df-or 846 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2703 df-cleq 2717 df-clel 2802 df-nfc 2877 df-ne 2931 df-ral 3052 df-rex 3061 df-rab 3420 df-v 3465 df-sbc 3769 df-dif 3942 df-un 3944 df-ss 3956 df-nul 4319 df-if 4525 df-sn 4625 df-pr 4627 df-op 4631 df-uni 4904 df-br 5144 df-opab 5206 df-id 5570 df-xp 5678 df-rel 5679 df-cnv 5680 df-co 5681 df-dm 5682 df-iota 6495 df-fun 6545 df-fv 6551 df-ov 7419 df-oprab 7420 df-mpo 7421 df-hvsub 30825 |
This theorem is referenced by: hvsubsub4i
30913 hvnegdii
30916 hvsubeq0i
30917 hvsubcan2i
30918 hvsubaddi
30920 normlem0
30963 normlem9
30972 norm3difi
31001 normpar2i
31010 pjsubii
31532 pjssmii
31535 pjcji
31538 lnophmlem2
31871 |