Step |
Hyp |
Ref |
Expression |
1 |
|
iccssxr |
|
2 |
|
simp1 |
|
3 |
1 2
|
sseldi |
|
4 |
|
0xr |
|
5 |
4
|
a1i |
|
6 |
|
pnfxr |
|
7 |
6
|
a1i |
|
8 |
|
elicc4 |
|
9 |
5 7 3 8
|
syl3anc |
|
10 |
2 9
|
mpbid |
|
11 |
10
|
simpld |
|
12 |
|
ge0nemnf |
|
13 |
3 11 12
|
syl2anc |
|
14 |
|
simp2 |
|
15 |
1 14
|
sseldi |
|
16 |
|
elicc4 |
|
17 |
5 7 15 16
|
syl3anc |
|
18 |
14 17
|
mpbid |
|
19 |
18
|
simpld |
|
20 |
|
ge0nemnf |
|
21 |
15 19 20
|
syl2anc |
|
22 |
|
simp3 |
|
23 |
1 22
|
sseldi |
|
24 |
|
elicc4 |
|
25 |
5 7 23 24
|
syl3anc |
|
26 |
22 25
|
mpbid |
|
27 |
26
|
simpld |
|
28 |
|
ge0nemnf |
|
29 |
23 27 28
|
syl2anc |
|
30 |
|
xaddass |
|
31 |
3 13 15 21 23 29 30
|
syl222anc |
|