Step |
Hyp |
Ref |
Expression |
1 |
|
df-ioc |
|
2 |
1
|
elixx3g |
|
3 |
2
|
biimpi |
|
4 |
3
|
simpld |
|
5 |
4
|
simp3d |
|
6 |
5
|
adantl |
|
7 |
|
simpl |
|
8 |
|
mnfxr |
|
9 |
8
|
a1i |
|
10 |
4
|
simp1d |
|
11 |
|
mnfle |
|
12 |
10 11
|
syl |
|
13 |
3
|
simprd |
|
14 |
13
|
simpld |
|
15 |
9 10 5 12 14
|
xrlelttrd |
|
16 |
15
|
adantl |
|
17 |
13
|
simprd |
|
18 |
17
|
adantl |
|
19 |
|
xrre |
|
20 |
6 7 16 18 19
|
syl22anc |
|