Step |
Hyp |
Ref |
Expression |
1 |
|
signsv.p |
|
2 |
|
signsv.w |
|
3 |
|
signsv.t |
|
4 |
|
signsv.v |
|
5 |
|
signsvtn0.1 |
|
6 |
|
eldifsn |
|
7 |
6
|
biimpi |
|
8 |
7
|
adantr |
|
9 |
8
|
simpld |
|
10 |
9
|
adantr |
|
11 |
|
wrdf |
|
12 |
10 11
|
syl |
|
13 |
|
lennncl |
|
14 |
8 13
|
syl |
|
15 |
14
|
adantr |
|
16 |
|
lbfzo0 |
|
17 |
15 16
|
sylibr |
|
18 |
12 17
|
ffvelrnd |
|
19 |
1 2 3 4
|
signstf0 |
|
20 |
18 19
|
syl |
|
21 |
|
simpr |
|
22 |
5 21
|
syl5eqr |
|
23 |
|
eqs1 |
|
24 |
10 22 23
|
syl2anc |
|
25 |
24
|
fveq2d |
|
26 |
|
oveq1 |
|
27 |
|
1m1e0 |
|
28 |
26 27
|
eqtrdi |
|
29 |
28
|
fveq2d |
|
30 |
29
|
fveq2d |
|
31 |
30
|
s1eqd |
|
32 |
21 31
|
syl |
|
33 |
20 25 32
|
3eqtr4d |
|
34 |
21 28
|
syl |
|
35 |
33 34
|
fveq12d |
|
36 |
9 11
|
syl |
|
37 |
5
|
oveq1i |
|
38 |
|
fzo0end |
|
39 |
8 13 38
|
3syl |
|
40 |
37 39
|
eqeltrid |
|
41 |
36 40
|
ffvelrnd |
|
42 |
41
|
rexrd |
|
43 |
|
sgncl |
|
44 |
42 43
|
syl |
|
45 |
44
|
adantr |
|
46 |
|
s1fv |
|
47 |
45 46
|
syl |
|
48 |
35 47
|
eqtrd |
|
49 |
|
fzossfz |
|
50 |
49 39
|
sseldi |
|
51 |
|
pfxres |
|
52 |
9 50 51
|
syl2anc |
|
53 |
52
|
oveq1d |
|
54 |
|
pfxlswccat |
|
55 |
54
|
eqcomd |
|
56 |
8 55
|
syl |
|
57 |
37
|
oveq2i |
|
58 |
57
|
a1i |
|
59 |
58
|
reseq2d |
|
60 |
37
|
a1i |
|
61 |
60
|
fveq2d |
|
62 |
|
lsw |
|
63 |
62
|
adantr |
|
64 |
61 63
|
eqtr4d |
|
65 |
64
|
s1eqd |
|
66 |
59 65
|
oveq12d |
|
67 |
53 56 66
|
3eqtr4d |
|
68 |
67
|
fveq2d |
|
69 |
|
ffn |
|
70 |
9 11 69
|
3syl |
|
71 |
5
|
a1i |
|
72 |
71
|
oveq2d |
|
73 |
72
|
fneq2d |
|
74 |
70 73
|
mpbird |
|
75 |
5 14
|
eqeltrid |
|
76 |
75
|
nnnn0d |
|
77 |
|
nn0z |
|
78 |
|
fzossrbm1 |
|
79 |
76 77 78
|
3syl |
|
80 |
|
fnssres |
|
81 |
74 79 80
|
syl2anc |
|
82 |
|
hashfn |
|
83 |
81 82
|
syl |
|
84 |
|
nnm1nn0 |
|
85 |
|
hashfzo0 |
|
86 |
75 84 85
|
3syl |
|
87 |
83 86
|
eqtrd |
|
88 |
87
|
eqcomd |
|
89 |
68 88
|
fveq12d |
|
90 |
89
|
adantr |
|
91 |
52 59
|
eqtr4d |
|
92 |
|
pfxcl |
|
93 |
9 92
|
syl |
|
94 |
91 93
|
eqeltrrd |
|
95 |
94
|
adantr |
|
96 |
87
|
adantr |
|
97 |
75
|
adantr |
|
98 |
97
|
nncnd |
|
99 |
|
1cnd |
|
100 |
|
simpr |
|
101 |
98 99 100
|
subne0d |
|
102 |
96 101
|
eqnetrd |
|
103 |
|
fveq2 |
|
104 |
|
hash0 |
|
105 |
103 104
|
eqtrdi |
|
106 |
105
|
necon3i |
|
107 |
102 106
|
syl |
|
108 |
95 107
|
jca |
|
109 |
|
eldifsn |
|
110 |
108 109
|
sylibr |
|
111 |
41
|
adantr |
|
112 |
1 2 3 4
|
signstfvn |
|
113 |
110 111 112
|
syl2anc |
|
114 |
|
lennncl |
|
115 |
|
fzo0end |
|
116 |
108 114 115
|
3syl |
|
117 |
1 2 3 4
|
signstcl |
|
118 |
95 116 117
|
syl2anc |
|
119 |
44
|
adantr |
|
120 |
|
simpr |
|
121 |
|
sgn0bi |
|
122 |
121
|
necon3bid |
|
123 |
122
|
biimpar |
|
124 |
42 120 123
|
syl2anc |
|
125 |
124
|
adantr |
|
126 |
1 2
|
signswlid |
|
127 |
118 119 125 126
|
syl21anc |
|
128 |
90 113 127
|
3eqtrd |
|
129 |
48 128
|
pm2.61dane |
|