Step |
Hyp |
Ref |
Expression |
1 |
|
igenval.1 |
|
2 |
|
igenval.2 |
|
3 |
1 2
|
rngoidl |
|
4 |
|
sseq2 |
|
5 |
4
|
rspcev |
|
6 |
3 5
|
sylan |
|
7 |
|
rabn0 |
|
8 |
6 7
|
sylibr |
|
9 |
|
intex |
|
10 |
8 9
|
sylib |
|
11 |
1
|
fvexi |
|
12 |
11
|
rnex |
|
13 |
2 12
|
eqeltri |
|
14 |
13
|
elpw2 |
|
15 |
|
simpl |
|
16 |
15
|
fveq2d |
|
17 |
|
sseq1 |
|
18 |
17
|
adantl |
|
19 |
16 18
|
rabeqbidv |
|
20 |
19
|
inteqd |
|
21 |
|
fveq2 |
|
22 |
21 1
|
eqtr4di |
|
23 |
22
|
rneqd |
|
24 |
23 2
|
eqtr4di |
|
25 |
24
|
pweqd |
|
26 |
|
df-igen |
|
27 |
20 25 26
|
ovmpox |
|
28 |
14 27
|
syl3an2br |
|
29 |
10 28
|
mpd3an3 |
|