Step |
Hyp |
Ref |
Expression |
1 |
|
0nn0 |
|
2 |
1
|
a1i |
|
3 |
|
breq1 |
|
4 |
3
|
imbi1d |
|
5 |
4
|
ralbidv |
|
6 |
5
|
adantl |
|
7 |
|
nnel |
|
8 |
|
n0i |
|
9 |
7 8
|
sylbi |
|
10 |
9
|
con4i |
|
11 |
10
|
a1d |
|
12 |
11
|
ralrimivw |
|
13 |
2 6 12
|
rspcedvd |
|
14 |
13
|
2a1d |
|
15 |
|
ltso |
|
16 |
|
id |
|
17 |
|
nn0ssre |
|
18 |
16 17
|
sstrdi |
|
19 |
18
|
3anim3i |
|
20 |
|
fisup2g |
|
21 |
15 19 20
|
sylancr |
|
22 |
|
simp3 |
|
23 |
|
breq2 |
|
24 |
23
|
notbid |
|
25 |
24
|
rspcva |
|
26 |
25
|
2a1d |
|
27 |
26
|
expcom |
|
28 |
27
|
com24 |
|
29 |
28
|
imp31 |
|
30 |
7 29
|
syl5bi |
|
31 |
30
|
con4d |
|
32 |
31
|
ralrimiva |
|
33 |
32
|
ex |
|
34 |
33
|
adantr |
|
35 |
34
|
com12 |
|
36 |
35
|
reximdva |
|
37 |
|
ssrexv |
|
38 |
22 36 37
|
sylsyld |
|
39 |
21 38
|
mpd |
|
40 |
39
|
3exp |
|
41 |
40
|
com3l |
|
42 |
14 41
|
pm2.61ine |
|
43 |
|
fzfi |
|
44 |
|
elfz2nn0 |
|
45 |
44
|
notbii |
|
46 |
|
3ianor |
|
47 |
|
3orass |
|
48 |
45 46 47
|
3bitri |
|
49 |
|
ssel |
|
50 |
49
|
adantr |
|
51 |
50
|
adantr |
|
52 |
51
|
con3rr3 |
|
53 |
|
notnotb |
|
54 |
|
pm2.24 |
|
55 |
54
|
adantl |
|
56 |
55
|
adantr |
|
57 |
56
|
com12 |
|
58 |
57
|
a1d |
|
59 |
|
breq2 |
|
60 |
|
neleq1 |
|
61 |
59 60
|
imbi12d |
|
62 |
61
|
rspcva |
|
63 |
|
nn0re |
|
64 |
|
nn0re |
|
65 |
|
ltnle |
|
66 |
63 64 65
|
syl2an |
|
67 |
|
df-nel |
|
68 |
67
|
a1i |
|
69 |
66 68
|
imbi12d |
|
70 |
69
|
biimpd |
|
71 |
70
|
ex |
|
72 |
71
|
adantl |
|
73 |
72
|
com12 |
|
74 |
73
|
adantr |
|
75 |
62 74
|
mpid |
|
76 |
75
|
ex |
|
77 |
76
|
com13 |
|
78 |
77
|
imp |
|
79 |
78
|
com13 |
|
80 |
58 79
|
jaoi |
|
81 |
53 80
|
syl5bir |
|
82 |
81
|
impcom |
|
83 |
52 82
|
jaoi3 |
|
84 |
48 83
|
sylbi |
|
85 |
84
|
com12 |
|
86 |
85
|
con4d |
|
87 |
86
|
ssrdv |
|
88 |
|
ssfi |
|
89 |
43 87 88
|
sylancr |
|
90 |
89
|
rexlimdva2 |
|
91 |
42 90
|
impbid |
|