Step |
Hyp |
Ref |
Expression |
1 |
|
icossicc |
|
2 |
1
|
a1i |
|
3 |
2
|
sselda |
|
4 |
|
elico1 |
|
5 |
4
|
biimpa |
|
6 |
5
|
simp1d |
|
7 |
|
simplr |
|
8 |
5
|
simp3d |
|
9 |
|
xrltne |
|
10 |
6 7 8 9
|
syl3anc |
|
11 |
10
|
necomd |
|
12 |
11
|
neneqd |
|
13 |
|
velsn |
|
14 |
12 13
|
sylnibr |
|
15 |
3 14
|
eldifd |
|
16 |
15
|
ex |
|
17 |
16
|
ssrdv |
|
18 |
|
simpll |
|
19 |
|
simplr |
|
20 |
|
eldifi |
|
21 |
|
eliccxr |
|
22 |
20 21
|
syl |
|
23 |
22
|
adantl |
|
24 |
20
|
adantl |
|
25 |
|
elicc1 |
|
26 |
25
|
adantr |
|
27 |
24 26
|
mpbid |
|
28 |
27
|
simp2d |
|
29 |
|
eldifsni |
|
30 |
29
|
necomd |
|
31 |
30
|
adantl |
|
32 |
27
|
simp3d |
|
33 |
|
xrleltne |
|
34 |
23 19 32 33
|
syl3anc |
|
35 |
31 34
|
mpbird |
|
36 |
18 19 23 28 35
|
elicod |
|
37 |
17 36
|
eqelssd |
|