| Step |
Hyp |
Ref |
Expression |
| 1 |
|
isubgr3stgr.v |
|
| 2 |
|
isubgr3stgr.u |
|
| 3 |
|
isubgr3stgr.c |
|
| 4 |
|
isubgr3stgr.n |
|
| 5 |
|
isubgr3stgr.s |
Could not format S = ( StarGr ` N ) : No typesetting found for |- S = ( StarGr ` N ) with typecode |- |
| 6 |
|
isubgr3stgr.w |
|
| 7 |
1 2 3 4 5 6
|
isubgr3stgrlem2 |
|
| 8 |
|
f1odm |
|
| 9 |
|
simpr |
|
| 10 |
|
simpl2 |
|
| 11 |
|
c0ex |
|
| 12 |
11
|
a1i |
|
| 13 |
|
neldifsnd |
|
| 14 |
|
df-nel |
|
| 15 |
13 14
|
sylibr |
|
| 16 |
|
eqid |
|
| 17 |
1 2 3 16
|
isubgr3stgrlem1 |
|
| 18 |
9 10 12 15 17
|
syl112anc |
|
| 19 |
18
|
ex |
|
| 20 |
|
f1of |
|
| 21 |
20
|
3ad2ant2 |
|
| 22 |
3
|
ovexi |
|
| 23 |
22
|
a1i |
|
| 24 |
21 23
|
fexd |
|
| 25 |
5 6
|
stgrvtx0 |
|
| 26 |
4 25
|
mp1i |
|
| 27 |
26
|
snssd |
|
| 28 |
|
undifr |
|
| 29 |
27 28
|
sylib |
|
| 30 |
29
|
f1oeq3d |
|
| 31 |
30
|
biimpa |
|
| 32 |
31
|
3adant3 |
|
| 33 |
|
simp12 |
|
| 34 |
11
|
a1i |
|
| 35 |
|
nbgrnself2 |
|
| 36 |
|
df-nel |
|
| 37 |
2
|
eleq2i |
|
| 38 |
36 37
|
xchbinxr |
|
| 39 |
35 38
|
mpbi |
|
| 40 |
|
eleq2 |
|
| 41 |
40
|
notbid |
|
| 42 |
41
|
3ad2ant3 |
|
| 43 |
39 42
|
mpbiri |
|
| 44 |
|
fsnunfv |
|
| 45 |
33 34 43 44
|
syl3anc |
|
| 46 |
32 45
|
jca |
|
| 47 |
|
f1oeq1 |
|
| 48 |
|
fveq1 |
|
| 49 |
48
|
eqeq1d |
|
| 50 |
47 49
|
anbi12d |
|
| 51 |
24 46 50
|
spcedv |
|
| 52 |
51
|
3exp |
|
| 53 |
19 52
|
syld |
|
| 54 |
8 53
|
mpdi |
|
| 55 |
54
|
exlimdv |
|
| 56 |
7 55
|
mpd |
|