Step |
Hyp |
Ref |
Expression |
1 |
|
eqid |
|
2 |
|
eqid |
|
3 |
|
eqid |
|
4 |
1 2 3
|
leordtval |
|
5 |
4
|
eleq2i |
|
6 |
|
tg2 |
|
7 |
|
elun |
|
8 |
|
elun |
|
9 |
|
eqid |
|
10 |
9
|
elrnmpt |
|
11 |
10
|
elv |
|
12 |
|
nltmnf |
|
13 |
|
pnfxr |
|
14 |
|
elioc1 |
|
15 |
13 14
|
mpan2 |
|
16 |
|
simp2 |
|
17 |
15 16
|
syl6bi |
|
18 |
12 17
|
mtod |
|
19 |
|
eleq2 |
|
20 |
19
|
notbid |
|
21 |
18 20
|
syl5ibrcom |
|
22 |
21
|
rexlimiv |
|
23 |
22
|
pm2.21d |
|
24 |
23
|
adantrd |
|
25 |
11 24
|
sylbi |
|
26 |
|
eqid |
|
27 |
26
|
elrnmpt |
|
28 |
27
|
elv |
|
29 |
|
mnfxr |
|
30 |
29
|
a1i |
|
31 |
|
0xr |
|
32 |
|
simprl |
|
33 |
|
ifcl |
|
34 |
31 32 33
|
sylancr |
|
35 |
13
|
a1i |
|
36 |
|
mnflt0 |
|
37 |
|
simpll |
|
38 |
|
simprr |
|
39 |
37 38
|
eleqtrd |
|
40 |
|
elico1 |
|
41 |
29 32 40
|
sylancr |
|
42 |
39 41
|
mpbid |
|
43 |
42
|
simp3d |
|
44 |
|
breq2 |
|
45 |
|
breq2 |
|
46 |
44 45
|
ifboth |
|
47 |
36 43 46
|
sylancr |
|
48 |
31
|
a1i |
|
49 |
|
xrmin1 |
|
50 |
31 32 49
|
sylancr |
|
51 |
|
0re |
|
52 |
|
ltpnf |
|
53 |
51 52
|
mp1i |
|
54 |
34 48 35 50 53
|
xrlelttrd |
|
55 |
|
xrre2 |
|
56 |
30 34 35 47 54 55
|
syl32anc |
|
57 |
|
xrmin2 |
|
58 |
31 32 57
|
sylancr |
|
59 |
|
df-ico |
|
60 |
|
xrltletr |
|
61 |
59 59 60
|
ixxss2 |
|
62 |
32 58 61
|
syl2anc |
|
63 |
|
simplr |
|
64 |
38 63
|
eqsstrrd |
|
65 |
62 64
|
sstrd |
|
66 |
|
oveq2 |
|
67 |
66
|
sseq1d |
|
68 |
67
|
rspcev |
|
69 |
56 65 68
|
syl2anc |
|
70 |
69
|
rexlimdvaa |
|
71 |
70
|
com12 |
|
72 |
28 71
|
sylbi |
|
73 |
25 72
|
jaoi |
|
74 |
8 73
|
sylbi |
|
75 |
|
mnfnre |
|
76 |
75
|
neli |
|
77 |
|
elssuni |
|
78 |
|
unirnioo |
|
79 |
77 78
|
sseqtrrdi |
|
80 |
79
|
sseld |
|
81 |
76 80
|
mtoi |
|
82 |
81
|
pm2.21d |
|
83 |
82
|
adantrd |
|
84 |
74 83
|
jaoi |
|
85 |
7 84
|
sylbi |
|
86 |
85
|
rexlimiv |
|
87 |
6 86
|
syl |
|
88 |
5 87
|
sylanb |
|