Step |
Hyp |
Ref |
Expression |
1 |
|
signsv.p |
|
2 |
|
signsv.w |
|
3 |
|
signsv.t |
|
4 |
|
signsv.v |
|
5 |
1 2 3 4
|
signstf |
|
6 |
|
wrdf |
|
7 |
|
ffn |
|
8 |
5 6 7
|
3syl |
|
9 |
1 2 3 4
|
signstlen |
|
10 |
9
|
oveq2d |
|
11 |
10
|
fneq2d |
|
12 |
8 11
|
mpbid |
|
13 |
|
fnresin |
|
14 |
12 13
|
syl |
|
15 |
14
|
adantr |
|
16 |
|
elfzuz3 |
|
17 |
|
fzoss2 |
|
18 |
16 17
|
syl |
|
19 |
18
|
adantl |
|
20 |
|
incom |
|
21 |
|
df-ss |
|
22 |
21
|
biimpi |
|
23 |
20 22
|
syl5eqr |
|
24 |
23
|
fneq2d |
|
25 |
19 24
|
syl |
|
26 |
15 25
|
mpbid |
|
27 |
|
wrdres |
|
28 |
1 2 3 4
|
signstf |
|
29 |
|
wrdf |
|
30 |
|
ffn |
|
31 |
27 28 29 30
|
4syl |
|
32 |
1 2 3 4
|
signstlen |
|
33 |
27 32
|
syl |
|
34 |
|
wrdfn |
|
35 |
|
fnssres |
|
36 |
34 18 35
|
syl2an |
|
37 |
|
hashfn |
|
38 |
36 37
|
syl |
|
39 |
|
elfznn0 |
|
40 |
|
hashfzo0 |
|
41 |
39 40
|
syl |
|
42 |
41
|
adantl |
|
43 |
33 38 42
|
3eqtrd |
|
44 |
43
|
oveq2d |
|
45 |
44
|
fneq2d |
|
46 |
31 45
|
mpbid |
|
47 |
|
fvres |
|
48 |
47
|
ad3antlr |
|
49 |
|
simpr |
|
50 |
49
|
fveq2d |
|
51 |
50
|
fveq1d |
|
52 |
27
|
ad3antrrr |
|
53 |
|
simplr |
|
54 |
38 42
|
eqtrd |
|
55 |
54
|
oveq2d |
|
56 |
55
|
eleq2d |
|
57 |
56
|
biimpar |
|
58 |
57
|
ad2antrr |
|
59 |
1 2 3 4
|
signstfvc |
|
60 |
52 53 58 59
|
syl3anc |
|
61 |
48 51 60
|
3eqtrd |
|
62 |
|
wrdsplex |
|
63 |
62
|
adantr |
|
64 |
61 63
|
r19.29a |
|
65 |
26 46 64
|
eqfnfvd |
|