| Step |
Hyp |
Ref |
Expression |
| 1 |
|
limsupvaluz2.m |
|
| 2 |
|
limsupvaluz2.z |
|
| 3 |
|
limsupvaluz2.f |
|
| 4 |
|
limsupvaluz2.r |
|
| 5 |
3
|
frexr |
|
| 6 |
1 2 5
|
limsupvaluz |
|
| 7 |
3
|
adantr |
|
| 8 |
2
|
uzssd3 |
|
| 9 |
8
|
adantl |
|
| 10 |
7 9
|
feqresmpt |
|
| 11 |
10
|
rneqd |
|
| 12 |
11
|
supeq1d |
|
| 13 |
|
nfcv |
|
| 14 |
4
|
renepnfd |
|
| 15 |
13 2 3 14
|
limsupubuz |
|
| 16 |
15
|
adantr |
|
| 17 |
|
ssralv |
|
| 18 |
8 17
|
syl |
|
| 19 |
18
|
adantl |
|
| 20 |
19
|
reximdv |
|
| 21 |
16 20
|
mpd |
|
| 22 |
|
nfv |
|
| 23 |
2
|
eluzelz2 |
|
| 24 |
|
uzid |
|
| 25 |
|
ne0i |
|
| 26 |
23 24 25
|
3syl |
|
| 27 |
26
|
adantl |
|
| 28 |
7
|
adantr |
|
| 29 |
9
|
sselda |
|
| 30 |
28 29
|
ffvelcdmd |
|
| 31 |
22 27 30
|
supxrre3rnmpt |
|
| 32 |
21 31
|
mpbird |
|
| 33 |
12 32
|
eqeltrd |
|
| 34 |
33
|
fmpttd |
|
| 35 |
34
|
frnd |
|
| 36 |
|
nfv |
|
| 37 |
|
eqid |
|
| 38 |
1 2
|
uzn0d |
|
| 39 |
36 33 37 38
|
rnmptn0 |
|
| 40 |
|
nfcv |
|
| 41 |
40 1 2 5
|
limsupre3uz |
|
| 42 |
4 41
|
mpbid |
|
| 43 |
42
|
simpld |
|
| 44 |
|
simp-4r |
|
| 45 |
44
|
rexrd |
|
| 46 |
5
|
3ad2ant1 |
|
| 47 |
2
|
uztrn2 |
|
| 48 |
47
|
3adant1 |
|
| 49 |
46 48
|
ffvelcdmd |
|
| 50 |
49
|
ad5ant134 |
|
| 51 |
|
rnresss |
|
| 52 |
3
|
frnd |
|
| 53 |
52
|
adantr |
|
| 54 |
51 53
|
sstrid |
|
| 55 |
54
|
ssrexr |
|
| 56 |
55
|
supxrcld |
|
| 57 |
56
|
ad5ant13 |
|
| 58 |
|
simpr |
|
| 59 |
55
|
3adant3 |
|
| 60 |
|
fvres |
|
| 61 |
60
|
eqcomd |
|
| 62 |
61
|
3ad2ant3 |
|
| 63 |
3
|
ffnd |
|
| 64 |
2
|
uzssd3 |
|
| 65 |
|
fnssres |
|
| 66 |
63 64 65
|
syl2an |
|
| 67 |
|
fnfvelrn |
|
| 68 |
66 67
|
stoic3 |
|
| 69 |
62 68
|
eqeltrd |
|
| 70 |
|
eqid |
|
| 71 |
59 69 70
|
supxrubd |
|
| 72 |
71
|
ad5ant134 |
|
| 73 |
45 50 57 58 72
|
xrletrd |
|
| 74 |
73
|
rexlimdva2 |
|
| 75 |
74
|
ralimdva |
|
| 76 |
75
|
reximdva |
|
| 77 |
43 76
|
mpd |
|
| 78 |
|
fveq2 |
|
| 79 |
78
|
reseq2d |
|
| 80 |
79
|
rneqd |
|
| 81 |
80
|
supeq1d |
|
| 82 |
|
eqcom |
|
| 83 |
|
eqcom |
|
| 84 |
81 82 83
|
3imtr3i |
|
| 85 |
84
|
breq2d |
|
| 86 |
85
|
cbvralvw |
|
| 87 |
86
|
rexbii |
|
| 88 |
77 87
|
sylib |
|
| 89 |
36 33
|
rnmptbd2 |
|
| 90 |
88 89
|
mpbid |
|
| 91 |
|
infxrre |
|
| 92 |
35 39 90 91
|
syl3anc |
|
| 93 |
|
fveq2 |
|
| 94 |
93
|
reseq2d |
|
| 95 |
94
|
rneqd |
|
| 96 |
95
|
supeq1d |
|
| 97 |
96
|
cbvmptv |
|
| 98 |
97
|
rneqi |
|
| 99 |
98
|
infeq1i |
|
| 100 |
99
|
a1i |
|
| 101 |
6 92 100
|
3eqtrd |
|