Step |
Hyp |
Ref |
Expression |
1 |
|
n0 |
|
2 |
|
rabeq0 |
|
3 |
|
simprr |
|
4 |
|
breq1 |
|
5 |
4
|
notbid |
|
6 |
5
|
cbvralvw |
|
7 |
|
breq2 |
|
8 |
7
|
notbid |
|
9 |
8
|
ralbidv |
|
10 |
6 9
|
syl5bb |
|
11 |
10
|
rspcev |
|
12 |
11
|
ex |
|
13 |
3 12
|
syl |
|
14 |
2 13
|
syl5bi |
|
15 |
|
simprl |
|
16 |
|
simpl3 |
|
17 |
|
sess2 |
|
18 |
15 16 17
|
sylc |
|
19 |
|
seex |
|
20 |
18 3 19
|
syl2anc |
|
21 |
|
simpl1 |
|
22 |
|
ssrab2 |
|
23 |
22 15
|
sstrid |
|
24 |
|
fri |
|
25 |
24
|
expr |
|
26 |
20 21 23 25
|
syl21anc |
|
27 |
|
breq1 |
|
28 |
27
|
rexrab |
|
29 |
|
breq1 |
|
30 |
29
|
ralrab |
|
31 |
|
simprr |
|
32 |
|
simplr |
|
33 |
|
simplrl |
|
34 |
33
|
ad2antrr |
|
35 |
|
simpll2 |
|
36 |
35
|
ad2antrr |
|
37 |
|
poss |
|
38 |
34 36 37
|
sylc |
|
39 |
|
simprl |
|
40 |
|
simpllr |
|
41 |
|
simplrr |
|
42 |
41
|
ad2antrr |
|
43 |
|
potr |
|
44 |
38 39 40 42 43
|
syl13anc |
|
45 |
31 32 44
|
mp2and |
|
46 |
45
|
expr |
|
47 |
46
|
con3d |
|
48 |
|
idd |
|
49 |
47 48
|
jad |
|
50 |
49
|
ralimdva |
|
51 |
30 50
|
syl5bi |
|
52 |
51
|
expimpd |
|
53 |
52
|
reximdva |
|
54 |
28 53
|
syl5bi |
|
55 |
26 54
|
syld |
|
56 |
14 55
|
pm2.61dne |
|
57 |
56
|
expr |
|
58 |
57
|
exlimdv |
|
59 |
1 58
|
syl5bi |
|
60 |
59
|
impr |
|