| Step |
Hyp |
Ref |
Expression |
| 1 |
|
1nn0 |
|
| 2 |
|
stgrfv |
Could not format ( 1 e. NN0 -> ( StarGr ` 1 ) = { <. ( Base ` ndx ) , ( 0 ... 1 ) >. , <. ( .ef ` ndx ) , ( _I |` { e e. ~P ( 0 ... 1 ) | E. x e. ( 1 ... 1 ) e = { 0 , x } } ) >. } ) : No typesetting found for |- ( 1 e. NN0 -> ( StarGr ` 1 ) = { <. ( Base ` ndx ) , ( 0 ... 1 ) >. , <. ( .ef ` ndx ) , ( _I |` { e e. ~P ( 0 ... 1 ) | E. x e. ( 1 ... 1 ) e = { 0 , x } } ) >. } ) with typecode |- |
| 3 |
1 2
|
ax-mp |
Could not format ( StarGr ` 1 ) = { <. ( Base ` ndx ) , ( 0 ... 1 ) >. , <. ( .ef ` ndx ) , ( _I |` { e e. ~P ( 0 ... 1 ) | E. x e. ( 1 ... 1 ) e = { 0 , x } } ) >. } : No typesetting found for |- ( StarGr ` 1 ) = { <. ( Base ` ndx ) , ( 0 ... 1 ) >. , <. ( .ef ` ndx ) , ( _I |` { e e. ~P ( 0 ... 1 ) | E. x e. ( 1 ... 1 ) e = { 0 , x } } ) >. } with typecode |- |
| 4 |
|
fz01pr |
|
| 5 |
4
|
opeq2i |
|
| 6 |
|
elsni |
|
| 7 |
|
preq2 |
|
| 8 |
7
|
eqeq2d |
|
| 9 |
8
|
biimpd |
|
| 10 |
6 9
|
syl |
|
| 11 |
|
1z |
|
| 12 |
|
fzsn |
|
| 13 |
11 12
|
ax-mp |
|
| 14 |
10 13
|
eleq2s |
|
| 15 |
14
|
rexlimiv |
|
| 16 |
15
|
adantl |
|
| 17 |
|
c0ex |
|
| 18 |
17
|
prid1 |
|
| 19 |
18 4
|
eleqtrri |
|
| 20 |
|
1ex |
|
| 21 |
20
|
prid2 |
|
| 22 |
21 4
|
eleqtrri |
|
| 23 |
|
prelpwi |
|
| 24 |
19 22 23
|
mp2an |
|
| 25 |
|
eqid |
|
| 26 |
13
|
rexeqi |
|
| 27 |
7
|
eqeq2d |
|
| 28 |
20 27
|
rexsn |
|
| 29 |
26 28
|
bitri |
|
| 30 |
25 29
|
mpbir |
|
| 31 |
24 30
|
pm3.2i |
|
| 32 |
|
eleq1 |
|
| 33 |
|
eqeq1 |
|
| 34 |
33
|
rexbidv |
|
| 35 |
32 34
|
anbi12d |
|
| 36 |
31 35
|
mpbiri |
|
| 37 |
16 36
|
impbii |
|
| 38 |
37
|
abbii |
|
| 39 |
|
df-rab |
|
| 40 |
|
df-sn |
|
| 41 |
38 39 40
|
3eqtr4i |
|
| 42 |
41
|
reseq2i |
|
| 43 |
42
|
opeq2i |
|
| 44 |
5 43
|
preq12i |
|
| 45 |
3 44
|
eqtri |
Could not format ( StarGr ` 1 ) = { <. ( Base ` ndx ) , { 0 , 1 } >. , <. ( .ef ` ndx ) , ( _I |` { { 0 , 1 } } ) >. } : No typesetting found for |- ( StarGr ` 1 ) = { <. ( Base ` ndx ) , { 0 , 1 } >. , <. ( .ef ` ndx ) , ( _I |` { { 0 , 1 } } ) >. } with typecode |- |