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 |
5 6
|
stgrorder |
|
8 |
4 7
|
ax-mp |
|
9 |
|
oveq1 |
|
10 |
|
nn0cn |
|
11 |
|
pncan1 |
|
12 |
10 11
|
syl |
|
13 |
4 12
|
mp1i |
|
14 |
9 13
|
eqtrd |
|
15 |
14
|
adantr |
|
16 |
|
peano2nn0 |
|
17 |
4 16
|
ax-mp |
|
18 |
|
eleq1 |
|
19 |
17 18
|
mpbiri |
|
20 |
19
|
adantr |
|
21 |
6
|
fvexi |
|
22 |
|
hashclb |
|
23 |
21 22
|
mp1i |
|
24 |
20 23
|
mpbird |
|
25 |
5 6
|
stgrvtx0 |
|
26 |
4 25
|
ax-mp |
|
27 |
|
hashdifsn |
|
28 |
24 26 27
|
sylancl |
|
29 |
|
simpr3 |
|
30 |
15 28 29
|
3eqtr4rd |
|
31 |
|
eleq1 |
|
32 |
4 31
|
mpbiri |
|
33 |
32
|
3ad2ant3 |
|
34 |
2
|
ovexi |
|
35 |
|
hashclb |
|
36 |
34 35
|
mp1i |
|
37 |
33 36
|
mpbird |
|
38 |
|
diffi |
|
39 |
24 38
|
syl |
|
40 |
|
hasheqf1o |
|
41 |
37 39 40
|
syl2an2 |
|
42 |
30 41
|
mpbid |
|
43 |
8 42
|
mpan |
|