Step |
Hyp |
Ref |
Expression |
1 |
|
pjrn |
|
2 |
1
|
adantr |
|
3 |
|
pjrn |
|
4 |
3
|
fveq2d |
|
5 |
4
|
adantl |
|
6 |
2 5
|
sseq12d |
|
7 |
6
|
biimpar |
|
8 |
7
|
3adantl3 |
|
9 |
|
id |
|
10 |
3 9
|
eqeltrd |
|
11 |
|
chsh |
|
12 |
10 11
|
syl |
|
13 |
12
|
3ad2ant2 |
|
14 |
13
|
adantr |
|
15 |
|
simpr |
|
16 |
|
pjfn |
|
17 |
|
fnfvelrn |
|
18 |
16 17
|
sylan |
|
19 |
18
|
3adant2 |
|
20 |
|
pjfn |
|
21 |
|
fnfvelrn |
|
22 |
20 21
|
sylan |
|
23 |
22
|
3adant1 |
|
24 |
19 23
|
jca |
|
25 |
24
|
adantr |
|
26 |
|
shorth |
|
27 |
14 15 25 26
|
syl3c |
|
28 |
8 27
|
syldan |
|