Step |
Hyp |
Ref |
Expression |
1 |
|
eupth2lem2.1 |
|
2 |
|
eqidd |
|
3 |
2
|
olcd |
|
4 |
3
|
biantrud |
|
5 |
|
eupth2lem1 |
|
6 |
1 5
|
ax-mp |
|
7 |
4 6
|
bitr4di |
|
8 |
|
simpr |
|
9 |
8
|
eleq1d |
|
10 |
7 9
|
bitrd |
|
11 |
10
|
necon1bbid |
|
12 |
|
simpl |
|
13 |
|
neeq1 |
|
14 |
12 13
|
syl5ibcom |
|
15 |
14
|
pm4.71rd |
|
16 |
|
eqcom |
|
17 |
|
ancom |
|
18 |
15 16 17
|
3bitr4g |
|
19 |
12
|
neneqd |
|
20 |
|
biorf |
|
21 |
19 20
|
syl |
|
22 |
|
orcom |
|
23 |
21 22
|
syl6bb |
|
24 |
23
|
anbi1d |
|
25 |
18 24
|
bitrd |
|
26 |
|
ancom |
|
27 |
25 26
|
bitr4di |
|
28 |
|
eupth2lem1 |
|
29 |
1 28
|
ax-mp |
|
30 |
8
|
eleq1d |
|
31 |
29 30
|
bitr3id |
|
32 |
11 27 31
|
3bitrd |
|