Step |
Hyp |
Ref |
Expression |
1 |
|
fmla0 |
|
2 |
|
rabab |
|
3 |
1 2
|
eqtri |
|
4 |
3
|
ineq1i |
|
5 |
|
inab |
|
6 |
|
goel |
|
7 |
6
|
eqeq2d |
|
8 |
|
1n0 |
|
9 |
8
|
nesymi |
|
10 |
9
|
intnanr |
|
11 |
|
gonafv |
|
12 |
11
|
el2v |
|
13 |
12
|
eqeq2i |
|
14 |
|
0ex |
|
15 |
|
opex |
|
16 |
14 15
|
opth |
|
17 |
13 16
|
bitri |
|
18 |
10 17
|
mtbir |
|
19 |
|
eqeq1 |
|
20 |
18 19
|
mtbiri |
|
21 |
7 20
|
syl6bi |
|
22 |
21
|
imp |
|
23 |
22
|
adantr |
|
24 |
23
|
ralrimivw |
|
25 |
|
2on0 |
|
26 |
25
|
nesymi |
|
27 |
26
|
orci |
|
28 |
14 15
|
opth |
|
29 |
28
|
notbii |
|
30 |
|
ianor |
|
31 |
29 30
|
bitri |
|
32 |
27 31
|
mpbir |
|
33 |
|
eqeq1 |
|
34 |
|
df-goal |
|
35 |
34
|
eqeq2i |
|
36 |
33 35
|
bitrdi |
|
37 |
32 36
|
mtbiri |
|
38 |
7 37
|
syl6bi |
|
39 |
38
|
imp |
|
40 |
39
|
adantr |
|
41 |
40
|
adantr |
|
42 |
41
|
ralrimiva |
|
43 |
24 42
|
jca |
|
44 |
43
|
ralrimiva |
|
45 |
|
ralnex |
|
46 |
|
ralnex |
|
47 |
45 46
|
anbi12i |
|
48 |
|
ioran |
|
49 |
47 48
|
bitr4i |
|
50 |
49
|
ralbii |
|
51 |
|
ralnex |
|
52 |
50 51
|
bitri |
|
53 |
44 52
|
sylib |
|
54 |
53
|
ex |
|
55 |
54
|
rexlimdva |
|
56 |
55
|
rexlimiv |
|
57 |
56
|
imori |
|
58 |
|
ianor |
|
59 |
57 58
|
mpbir |
|
60 |
59
|
abf |
|
61 |
5 60
|
eqtri |
|
62 |
4 61
|
eqtri |
|