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 |
|