Step |
Hyp |
Ref |
Expression |
1 |
|
prjsprel.1 |
|
2 |
|
prjspertr.b |
|
3 |
|
prjspertr.s |
|
4 |
|
prjspertr.x |
|
5 |
|
prjspertr.k |
|
6 |
|
prjspreln0.z |
|
7 |
|
eqid |
|
8 |
|
lveclmod |
|
9 |
8
|
3ad2ant1 |
|
10 |
|
eldifi |
|
11 |
10
|
3ad2ant3 |
|
12 |
|
difss |
|
13 |
2 12
|
eqsstri |
|
14 |
13
|
sseli |
|
15 |
14
|
3ad2ant2 |
|
16 |
7 3 4 5 9 11 15
|
lmodvscld |
|
17 |
|
eldifsni |
|
18 |
17
|
3ad2ant3 |
|
19 |
|
eldifsni |
|
20 |
19 2
|
eleq2s |
|
21 |
20
|
3ad2ant2 |
|
22 |
|
eqid |
|
23 |
|
simp1 |
|
24 |
7 4 3 5 6 22 23 11 15
|
lvecvsn0 |
|
25 |
18 21 24
|
mpbir2and |
|
26 |
|
nelsn |
|
27 |
25 26
|
syl |
|
28 |
16 27
|
eldifd |
|
29 |
28 2
|
eleqtrrdi |
|
30 |
|
simp2 |
|
31 |
|
oveq1 |
|
32 |
31
|
eqcoms |
|
33 |
|
tbtru |
|
34 |
32 33
|
sylib |
|
35 |
34
|
adantl |
|
36 |
|
trud |
|
37 |
11 35 36
|
rspcedvd |
|
38 |
1
|
prjsprel |
|
39 |
29 30 37 38
|
syl21anbrc |
|