Step |
Hyp |
Ref |
Expression |
1 |
|
nosupbnd1.1 |
|
2 |
|
simp2l |
|
3 |
|
simp3 |
|
4 |
2 3
|
sseldd |
|
5 |
1
|
nosupno |
|
6 |
5
|
3ad2ant2 |
|
7 |
|
nodmon |
|
8 |
6 7
|
syl |
|
9 |
|
noreson |
|
10 |
4 8 9
|
syl2anc |
|
11 |
|
dmres |
|
12 |
|
inss1 |
|
13 |
11 12
|
eqsstri |
|
14 |
13
|
a1i |
|
15 |
|
ssidd |
|
16 |
|
iffalse |
|
17 |
1 16
|
syl5eq |
|
18 |
17
|
dmeqd |
|
19 |
|
iotaex |
|
20 |
|
eqid |
|
21 |
19 20
|
dmmpti |
|
22 |
18 21
|
eqtrdi |
|
23 |
22
|
eleq2d |
|
24 |
|
vex |
|
25 |
|
eleq1w |
|
26 |
|
suceq |
|
27 |
26
|
reseq2d |
|
28 |
26
|
reseq2d |
|
29 |
27 28
|
eqeq12d |
|
30 |
29
|
imbi2d |
|
31 |
30
|
ralbidv |
|
32 |
25 31
|
anbi12d |
|
33 |
32
|
rexbidv |
|
34 |
|
dmeq |
|
35 |
34
|
eleq2d |
|
36 |
|
breq2 |
|
37 |
36
|
notbid |
|
38 |
|
reseq1 |
|
39 |
38
|
eqeq1d |
|
40 |
37 39
|
imbi12d |
|
41 |
40
|
ralbidv |
|
42 |
35 41
|
anbi12d |
|
43 |
42
|
cbvrexvw |
|
44 |
33 43
|
syl6bb |
|
45 |
24 44
|
elab |
|
46 |
23 45
|
syl6bb |
|
47 |
46
|
3ad2ant1 |
|
48 |
|
simpl1 |
|
49 |
|
simpl2 |
|
50 |
|
simprl |
|
51 |
|
simprrl |
|
52 |
|
simprrr |
|
53 |
1
|
nosupres |
|
54 |
48 49 50 51 52 53
|
syl113anc |
|
55 |
|
simpl2l |
|
56 |
55 50
|
sseldd |
|
57 |
4
|
adantr |
|
58 |
|
sltso |
|
59 |
|
soasym |
|
60 |
58 59
|
mpan |
|
61 |
56 57 60
|
syl2anc |
|
62 |
|
simpl3 |
|
63 |
|
breq1 |
|
64 |
63
|
notbid |
|
65 |
|
reseq1 |
|
66 |
65
|
eqeq2d |
|
67 |
64 66
|
imbi12d |
|
68 |
67
|
rspcv |
|
69 |
62 52 68
|
sylc |
|
70 |
61 69
|
syld |
|
71 |
70
|
imp |
|
72 |
|
nodmon |
|
73 |
56 72
|
syl |
|
74 |
|
onelon |
|
75 |
73 51 74
|
syl2anc |
|
76 |
|
sucelon |
|
77 |
75 76
|
sylib |
|
78 |
|
noreson |
|
79 |
57 77 78
|
syl2anc |
|
80 |
|
sonr |
|
81 |
58 80
|
mpan |
|
82 |
79 81
|
syl |
|
83 |
82
|
adantr |
|
84 |
71 83
|
eqnbrtrd |
|
85 |
84
|
ex |
|
86 |
|
sltres |
|
87 |
56 57 77 86
|
syl3anc |
|
88 |
87
|
con3d |
|
89 |
85 88
|
pm2.61d |
|
90 |
54 89
|
eqnbrtrd |
|
91 |
90
|
rexlimdvaa |
|
92 |
47 91
|
sylbid |
|
93 |
92
|
imp |
|
94 |
|
nodmord |
|
95 |
|
ordsucss |
|
96 |
6 94 95
|
3syl |
|
97 |
96
|
imp |
|
98 |
97
|
resabs1d |
|
99 |
98
|
breq2d |
|
100 |
93 99
|
mtbird |
|
101 |
100
|
ralrimiva |
|
102 |
|
noresle |
|
103 |
10 6 14 15 101 102
|
syl23anc |
|