| Step |
Hyp |
Ref |
Expression |
| 1 |
|
stgrvtx0.g |
Could not format G = ( StarGr ` N ) : No typesetting found for |- G = ( StarGr ` N ) with typecode |- |
| 2 |
|
stgrvtx0.v |
|
| 3 |
1 2
|
stgrvtx0 |
|
| 4 |
|
eqid |
|
| 5 |
2 4
|
dfnbgr2 |
|
| 6 |
3 5
|
syl |
|
| 7 |
|
eleq2 |
|
| 8 |
|
eleq2 |
|
| 9 |
7 8
|
anbi12d |
|
| 10 |
|
0elfz |
|
| 11 |
10
|
adantr |
|
| 12 |
|
fz1ssfz0 |
|
| 13 |
1
|
fveq2i |
Could not format ( Vtx ` G ) = ( Vtx ` ( StarGr ` N ) ) : No typesetting found for |- ( Vtx ` G ) = ( Vtx ` ( StarGr ` N ) ) with typecode |- |
| 14 |
2 13
|
eqtri |
Could not format V = ( Vtx ` ( StarGr ` N ) ) : No typesetting found for |- V = ( Vtx ` ( StarGr ` N ) ) with typecode |- |
| 15 |
|
stgrvtx |
Could not format ( N e. NN0 -> ( Vtx ` ( StarGr ` N ) ) = ( 0 ... N ) ) : No typesetting found for |- ( N e. NN0 -> ( Vtx ` ( StarGr ` N ) ) = ( 0 ... N ) ) with typecode |- |
| 16 |
14 15
|
eqtrid |
|
| 17 |
16
|
difeq1d |
|
| 18 |
|
fz0dif1 |
|
| 19 |
18
|
eqimssd |
|
| 20 |
17 19
|
eqsstrd |
|
| 21 |
20
|
sselda |
|
| 22 |
12 21
|
sselid |
|
| 23 |
11 22
|
prssd |
|
| 24 |
|
preq2 |
|
| 25 |
24
|
eqeq2d |
|
| 26 |
|
eqidd |
|
| 27 |
25 21 26
|
rspcedvdw |
|
| 28 |
1
|
fveq2i |
Could not format ( Edg ` G ) = ( Edg ` ( StarGr ` N ) ) : No typesetting found for |- ( Edg ` G ) = ( Edg ` ( StarGr ` N ) ) with typecode |- |
| 29 |
28
|
eleq2i |
Could not format ( { 0 , x } e. ( Edg ` G ) <-> { 0 , x } e. ( Edg ` ( StarGr ` N ) ) ) : No typesetting found for |- ( { 0 , x } e. ( Edg ` G ) <-> { 0 , x } e. ( Edg ` ( StarGr ` N ) ) ) with typecode |- |
| 30 |
|
stgredgel |
Could not format ( N e. NN0 -> ( { 0 , x } e. ( Edg ` ( StarGr ` N ) ) <-> ( { 0 , x } C_ ( 0 ... N ) /\ E. n e. ( 1 ... N ) { 0 , x } = { 0 , n } ) ) ) : No typesetting found for |- ( N e. NN0 -> ( { 0 , x } e. ( Edg ` ( StarGr ` N ) ) <-> ( { 0 , x } C_ ( 0 ... N ) /\ E. n e. ( 1 ... N ) { 0 , x } = { 0 , n } ) ) ) with typecode |- |
| 31 |
30
|
adantr |
Could not format ( ( N e. NN0 /\ x e. ( V \ { 0 } ) ) -> ( { 0 , x } e. ( Edg ` ( StarGr ` N ) ) <-> ( { 0 , x } C_ ( 0 ... N ) /\ E. n e. ( 1 ... N ) { 0 , x } = { 0 , n } ) ) ) : No typesetting found for |- ( ( N e. NN0 /\ x e. ( V \ { 0 } ) ) -> ( { 0 , x } e. ( Edg ` ( StarGr ` N ) ) <-> ( { 0 , x } C_ ( 0 ... N ) /\ E. n e. ( 1 ... N ) { 0 , x } = { 0 , n } ) ) ) with typecode |- |
| 32 |
29 31
|
bitrid |
|
| 33 |
23 27 32
|
mpbir2and |
|
| 34 |
|
prid2g |
|
| 35 |
34
|
adantl |
|
| 36 |
|
c0ex |
|
| 37 |
36
|
prid1 |
|
| 38 |
35 37
|
jctil |
|
| 39 |
9 33 38
|
rspcedvdw |
|
| 40 |
39
|
rabeqcda |
|
| 41 |
6 40
|
eqtrd |
|