Step |
Hyp |
Ref |
Expression |
1 |
|
df-tp |
|
2 |
|
prex |
|
3 |
|
snex |
|
4 |
|
undjudom |
|
5 |
2 3 4
|
mp2an |
|
6 |
|
pr2dom |
|
7 |
|
djudom1 |
|
8 |
6 3 7
|
mp2an |
|
9 |
|
sn1dom |
|
10 |
|
2on |
|
11 |
|
djudom2 |
|
12 |
9 10 11
|
mp2an |
|
13 |
|
domtr |
|
14 |
8 12 13
|
mp2an |
|
15 |
|
1on |
|
16 |
|
onadju |
|
17 |
10 15 16
|
mp2an |
|
18 |
17
|
ensymi |
|
19 |
|
oa1suc |
|
20 |
10 19
|
ax-mp |
|
21 |
|
df-3o |
|
22 |
20 21
|
eqtr4i |
|
23 |
18 22
|
breqtri |
|
24 |
|
domentr |
|
25 |
14 23 24
|
mp2an |
|
26 |
|
domtr |
|
27 |
5 25 26
|
mp2an |
|
28 |
1 27
|
eqbrtri |
|