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 |
|
signsvf.b |
|
11 |
5
|
adantr |
|
12 |
5
|
eldifad |
|
13 |
|
wrdf |
|
14 |
12 13
|
syl |
|
15 |
9
|
oveq1i |
|
16 |
|
eldifsn |
|
17 |
5 16
|
sylib |
|
18 |
|
lennncl |
|
19 |
|
fzo0end |
|
20 |
17 18 19
|
3syl |
|
21 |
15 20
|
eqeltrid |
|
22 |
14 21
|
ffvelrnd |
|
23 |
22
|
recnd |
|
24 |
10 23
|
eqeltrid |
|
25 |
24
|
adantr |
|
26 |
8
|
recnd |
|
27 |
26
|
adantr |
|
28 |
|
simpr |
|
29 |
28
|
lt0ne0d |
|
30 |
25 27 29
|
mulne0bad |
|
31 |
10 30
|
eqnetrrid |
|
32 |
1 2 3 4 9
|
signsvtn0 |
|
33 |
10
|
fveq2i |
|
34 |
32 33
|
eqtr4di |
|
35 |
11 31 34
|
syl2anc |
|
36 |
35
|
fveq2d |
|
37 |
10 22
|
eqeltrid |
|
38 |
37
|
adantr |
|
39 |
38
|
rexrd |
|
40 |
|
sgnsgn |
|
41 |
39 40
|
syl |
|
42 |
36 41
|
eqtrd |
|
43 |
42
|
oveq2d |
|
44 |
26 24
|
mulcomd |
|
45 |
44
|
breq1d |
|
46 |
|
sgnmulsgn |
|
47 |
8 37 46
|
syl2anc |
|
48 |
45 47
|
bitr3d |
|
49 |
48
|
biimpa |
|
50 |
43 49
|
eqbrtrd |
|
51 |
8
|
adantr |
|
52 |
|
sgnclre |
|
53 |
38 52
|
syl |
|
54 |
35 53
|
eqeltrd |
|
55 |
|
sgnmulsgn |
|
56 |
51 54 55
|
syl2anc |
|
57 |
50 56
|
mpbird |
|
58 |
|
eqid |
|
59 |
1 2 3 4 5 6 7 8 9 58
|
signsvtn |
|
60 |
57 59
|
syldan |
|