Step |
Hyp |
Ref |
Expression |
1 |
|
exmid |
|
2 |
|
xrltle |
|
3 |
2
|
imp |
|
4 |
3
|
3adantl3 |
|
5 |
|
iocinioc2 |
|
6 |
4 5
|
syldan |
|
7 |
6
|
ex |
|
8 |
7
|
ancld |
|
9 |
|
simpl2 |
|
10 |
|
simpl1 |
|
11 |
|
simpr |
|
12 |
|
xrlenlt |
|
13 |
12
|
biimpar |
|
14 |
9 10 11 13
|
syl21anc |
|
15 |
|
3ancoma |
|
16 |
|
incom |
|
17 |
|
iocinioc2 |
|
18 |
16 17
|
eqtr3id |
|
19 |
15 18
|
sylanbr |
|
20 |
14 19
|
syldan |
|
21 |
20
|
ex |
|
22 |
21
|
ancld |
|
23 |
8 22
|
orim12d |
|
24 |
1 23
|
mpi |
|
25 |
|
eqif |
|
26 |
24 25
|
sylibr |
|