Step |
Hyp |
Ref |
Expression |
1 |
|
n0 |
|
2 |
|
rabeq0 |
|
3 |
|
breq1 |
|
4 |
3
|
notbid |
|
5 |
4
|
cbvralvw |
|
6 |
|
breq2 |
|
7 |
6
|
notbid |
|
8 |
7
|
ralbidv |
|
9 |
5 8
|
bitrid |
|
10 |
9
|
rspcev |
|
11 |
10
|
ex |
|
12 |
11
|
ad2antll |
|
13 |
2 12
|
syl5bi |
|
14 |
|
simprl |
|
15 |
|
simplr |
|
16 |
|
sess2 |
|
17 |
14 15 16
|
sylc |
|
18 |
|
simprr |
|
19 |
|
seex |
|
20 |
17 18 19
|
syl2anc |
|
21 |
|
wefr |
|
22 |
21
|
ad2antrr |
|
23 |
|
ssrab2 |
|
24 |
23 14
|
sstrid |
|
25 |
|
fri |
|
26 |
25
|
expr |
|
27 |
20 22 24 26
|
syl21anc |
|
28 |
|
breq1 |
|
29 |
28
|
rexrab |
|
30 |
|
breq1 |
|
31 |
30
|
ralrab |
|
32 |
|
weso |
|
33 |
32
|
ad2antrr |
|
34 |
|
soss |
|
35 |
14 33 34
|
sylc |
|
36 |
35
|
ad2antrr |
|
37 |
|
simpr |
|
38 |
|
simplr |
|
39 |
18
|
ad2antrr |
|
40 |
|
sotr |
|
41 |
36 37 38 39 40
|
syl13anc |
|
42 |
41
|
ancomsd |
|
43 |
42
|
expdimp |
|
44 |
43
|
an32s |
|
45 |
44
|
con3d |
|
46 |
|
idd |
|
47 |
45 46
|
jad |
|
48 |
47
|
ralimdva |
|
49 |
31 48
|
syl5bi |
|
50 |
49
|
expimpd |
|
51 |
50
|
reximdva |
|
52 |
29 51
|
syl5bi |
|
53 |
27 52
|
syld |
|
54 |
13 53
|
pm2.61dne |
|
55 |
54
|
expr |
|
56 |
55
|
exlimdv |
|
57 |
1 56
|
syl5bi |
|
58 |
57
|
impr |
|
59 |
|
simprl |
|
60 |
32
|
ad2antrr |
|
61 |
59 60 34
|
sylc |
|
62 |
|
somo |
|
63 |
61 62
|
syl |
|
64 |
|
reu5 |
|
65 |
58 63 64
|
sylanbrc |
|