Step |
Hyp |
Ref |
Expression |
1 |
|
signsv.p |
|
2 |
|
signsv.w |
|
3 |
|
signsv.t |
|
4 |
|
signsv.v |
|
5 |
|
signsvf.e |
|
6 |
|
signsvf.0 |
|
7 |
|
signsvf.f |
|
8 |
|
signsvf.a |
|
9 |
|
signsvf.n |
|
10 |
|
signsvt.b |
|
11 |
7
|
fveq2d |
|
12 |
1 2 3 4
|
signsvfn |
|
13 |
5 6 8 12
|
syl21anc |
|
14 |
11 13
|
eqtrd |
|
15 |
14
|
adantr |
|
16 |
|
0red |
|
17 |
5
|
adantr |
|
18 |
17
|
eldifad |
|
19 |
1 2 3 4
|
signstf |
|
20 |
|
wrdf |
|
21 |
18 19 20
|
3syl |
|
22 |
|
eldifsn |
|
23 |
5 22
|
sylib |
|
24 |
23
|
adantr |
|
25 |
|
lennncl |
|
26 |
|
fzo0end |
|
27 |
24 25 26
|
3syl |
|
28 |
1 2 3 4
|
signstlen |
|
29 |
18 28
|
syl |
|
30 |
29
|
oveq2d |
|
31 |
27 30
|
eleqtrrd |
|
32 |
21 31
|
ffvelrnd |
|
33 |
8
|
adantr |
|
34 |
32 33
|
remulcld |
|
35 |
|
simpr |
|
36 |
9
|
oveq1i |
|
37 |
36
|
fveq2i |
|
38 |
10 37
|
eqtri |
|
39 |
38 32
|
eqeltrid |
|
40 |
39
|
recnd |
|
41 |
33
|
recnd |
|
42 |
40 41
|
mulcomd |
|
43 |
35 42
|
breqtrrd |
|
44 |
38
|
oveq1i |
|
45 |
43 44
|
breqtrdi |
|
46 |
16 34 45
|
ltnsymd |
|
47 |
46
|
iffalsed |
|
48 |
47
|
oveq2d |
|
49 |
1 2 3 4
|
signsvvf |
|
50 |
49
|
a1i |
|
51 |
50 18
|
ffvelrnd |
|
52 |
51
|
nn0cnd |
|
53 |
52
|
addid1d |
|
54 |
15 48 53
|
3eqtrd |
|