Step |
Hyp |
Ref |
Expression |
1 |
|
simplr |
|
2 |
|
omsmolem |
|
3 |
2
|
adantl |
|
4 |
3
|
imp |
|
5 |
|
omsmolem |
|
6 |
5
|
adantr |
|
7 |
6
|
imp |
|
8 |
4 7
|
orim12d |
|
9 |
8
|
ancoms |
|
10 |
9
|
con3d |
|
11 |
|
ffvelrn |
|
12 |
|
ssel |
|
13 |
11 12
|
syl5 |
|
14 |
13
|
expdimp |
|
15 |
|
eloni |
|
16 |
14 15
|
syl6 |
|
17 |
|
ffvelrn |
|
18 |
|
ssel |
|
19 |
17 18
|
syl5 |
|
20 |
19
|
expdimp |
|
21 |
|
eloni |
|
22 |
20 21
|
syl6 |
|
23 |
16 22
|
anim12d |
|
24 |
23
|
imp |
|
25 |
|
ordtri3 |
|
26 |
24 25
|
syl |
|
27 |
26
|
adantlr |
|
28 |
|
nnord |
|
29 |
|
nnord |
|
30 |
|
ordtri3 |
|
31 |
28 29 30
|
syl2an |
|
32 |
31
|
adantl |
|
33 |
10 27 32
|
3imtr4d |
|
34 |
33
|
ralrimivva |
|
35 |
|
dff13 |
|
36 |
1 34 35
|
sylanbrc |
|