Step |
Hyp |
Ref |
Expression |
1 |
|
elpell1qr |
|
2 |
1
|
adantr |
|
3 |
|
eldifi |
|
4 |
3
|
ad4antr |
|
5 |
|
simplr |
|
6 |
|
simp-4r |
|
7 |
|
simprl |
|
8 |
6 7
|
breqtrd |
|
9 |
|
simprr |
|
10 |
|
pell1qrgaplem |
|
11 |
4 5 8 9 10
|
syl22anc |
|
12 |
11 7
|
breqtrrd |
|
13 |
12
|
ex |
|
14 |
13
|
rexlimdvva |
|
15 |
14
|
expimpd |
|
16 |
2 15
|
sylbid |
|
17 |
16
|
ex |
|
18 |
17
|
com23 |
|
19 |
18
|
3imp |
|