Step |
Hyp |
Ref |
Expression |
1 |
|
unss |
|
2 |
|
ssralv |
|
3 |
1 2
|
sylbi |
|
4 |
3
|
3impia |
|
5 |
|
breq1 |
|
6 |
5
|
notbid |
|
7 |
6
|
biimpd |
|
8 |
|
sltso |
|
9 |
|
sonr |
|
10 |
8 9
|
mpan |
|
11 |
10
|
adantr |
|
12 |
7 11
|
impel |
|
13 |
12
|
adantrr |
|
14 |
13
|
ex |
|
15 |
|
simprl |
|
16 |
|
simprll |
|
17 |
|
simprlr |
|
18 |
|
simpl |
|
19 |
|
nosepne |
|
20 |
16 17 18 19
|
syl3anc |
|
21 |
|
nosepon |
|
22 |
16 17 18 21
|
syl3anc |
|
23 |
|
sucidg |
|
24 |
22 23
|
syl |
|
25 |
24
|
fvresd |
|
26 |
24
|
fvresd |
|
27 |
20 25 26
|
3netr4d |
|
28 |
27
|
neneqd |
|
29 |
|
fveq1 |
|
30 |
28 29
|
nsyl |
|
31 |
|
nosepdm |
|
32 |
16 17 18 31
|
syl3anc |
|
33 |
|
simprr |
|
34 |
|
suceq |
|
35 |
34
|
reseq2d |
|
36 |
34
|
reseq2d |
|
37 |
35 36
|
breq12d |
|
38 |
37
|
notbid |
|
39 |
38
|
rspcv |
|
40 |
32 33 39
|
sylc |
|
41 |
|
suceloni |
|
42 |
22 41
|
syl |
|
43 |
|
noreson |
|
44 |
16 42 43
|
syl2anc |
|
45 |
|
noreson |
|
46 |
17 42 45
|
syl2anc |
|
47 |
|
solin |
|
48 |
8 47
|
mpan |
|
49 |
44 46 48
|
syl2anc |
|
50 |
30 40 49
|
ecase23d |
|
51 |
|
sltres |
|
52 |
16 17 42 51
|
syl3anc |
|
53 |
50 52
|
mpd |
|
54 |
|
soasym |
|
55 |
8 54
|
mpan |
|
56 |
15 53 55
|
sylc |
|
57 |
56
|
ex |
|
58 |
14 57
|
pm2.61ine |
|
59 |
4 58
|
sylan2 |
|