Step |
Hyp |
Ref |
Expression |
1 |
|
noinfbnd1.1 |
|
2 |
1
|
noinfno |
|
3 |
2
|
3ad2ant2 |
|
4 |
|
simp2l |
|
5 |
|
simp3 |
|
6 |
4 5
|
sseldd |
|
7 |
|
nodmon |
|
8 |
3 7
|
syl |
|
9 |
|
noreson |
|
10 |
6 8 9
|
syl2anc |
|
11 |
|
ssidd |
|
12 |
|
dmres |
|
13 |
|
inss1 |
|
14 |
12 13
|
eqsstri |
|
15 |
14
|
a1i |
|
16 |
|
nodmord |
|
17 |
3 16
|
syl |
|
18 |
|
ordsucss |
|
19 |
17 18
|
syl |
|
20 |
19
|
imp |
|
21 |
20
|
resabs1d |
|
22 |
1
|
noinfdm |
|
23 |
22
|
eleq2d |
|
24 |
|
abid |
|
25 |
|
breq2 |
|
26 |
25
|
notbid |
|
27 |
|
reseq1 |
|
28 |
27
|
eqeq2d |
|
29 |
26 28
|
imbi12d |
|
30 |
29
|
cbvralvw |
|
31 |
30
|
anbi2i |
|
32 |
31
|
rexbii |
|
33 |
24 32
|
bitri |
|
34 |
23 33
|
bitrdi |
|
35 |
34
|
3ad2ant1 |
|
36 |
|
simpl2l |
|
37 |
|
simprl |
|
38 |
36 37
|
sseldd |
|
39 |
6
|
adantr |
|
40 |
|
sltso |
|
41 |
|
soasym |
|
42 |
40 41
|
mpan |
|
43 |
38 39 42
|
syl2anc |
|
44 |
|
nodmon |
|
45 |
38 44
|
syl |
|
46 |
|
simprrl |
|
47 |
|
onelon |
|
48 |
45 46 47
|
syl2anc |
|
49 |
|
sucelon |
|
50 |
48 49
|
sylib |
|
51 |
|
sltres |
|
52 |
39 38 50 51
|
syl3anc |
|
53 |
43 52
|
nsyld |
|
54 |
|
noreson |
|
55 |
39 50 54
|
syl2anc |
|
56 |
|
sonr |
|
57 |
40 56
|
mpan |
|
58 |
55 57
|
syl |
|
59 |
58
|
adantr |
|
60 |
|
breq2 |
|
61 |
60
|
notbid |
|
62 |
|
reseq1 |
|
63 |
62
|
eqeq2d |
|
64 |
61 63
|
imbi12d |
|
65 |
|
simprrr |
|
66 |
|
simpl3 |
|
67 |
64 65 66
|
rspcdva |
|
68 |
67
|
imp |
|
69 |
68
|
breq2d |
|
70 |
59 69
|
mtbird |
|
71 |
70
|
ex |
|
72 |
53 71
|
pm2.61d |
|
73 |
|
simpl1 |
|
74 |
|
simpl2 |
|
75 |
1
|
noinfres |
|
76 |
73 74 37 46 65 75
|
syl113anc |
|
77 |
76
|
breq2d |
|
78 |
72 77
|
mtbird |
|
79 |
78
|
rexlimdvaa |
|
80 |
35 79
|
sylbid |
|
81 |
80
|
imp |
|
82 |
21 81
|
eqnbrtrd |
|
83 |
82
|
ralrimiva |
|
84 |
|
noresle |
|
85 |
3 10 11 15 83 84
|
syl23anc |
|