Step |
Hyp |
Ref |
Expression |
1 |
|
fargshift.g |
|
2 |
|
fof |
|
3 |
1
|
fargshiftf |
|
4 |
2 3
|
sylan2 |
|
5 |
1
|
rnmpt |
|
6 |
|
fofn |
|
7 |
|
fnrnfv |
|
8 |
6 7
|
syl |
|
9 |
8
|
adantl |
|
10 |
|
df-fo |
|
11 |
10
|
biimpi |
|
12 |
11
|
adantl |
|
13 |
|
eqeq1 |
|
14 |
|
eqcom |
|
15 |
13 14
|
bitrdi |
|
16 |
|
ffn |
|
17 |
|
fseq1hash |
|
18 |
16 17
|
sylan2 |
|
19 |
2 18
|
sylan2 |
|
20 |
|
fz0add1fz1 |
|
21 |
|
nn0z |
|
22 |
|
fzval3 |
|
23 |
21 22
|
syl |
|
24 |
|
nn0cn |
|
25 |
|
1cnd |
|
26 |
24 25
|
addcomd |
|
27 |
26
|
oveq2d |
|
28 |
23 27
|
eqtrd |
|
29 |
28
|
eleq2d |
|
30 |
29
|
biimpa |
|
31 |
21
|
adantr |
|
32 |
|
fzosubel3 |
|
33 |
30 31 32
|
syl2anc |
|
34 |
|
oveq1 |
|
35 |
34
|
eqeq2d |
|
36 |
35
|
adantl |
|
37 |
|
elfzelz |
|
38 |
37
|
zcnd |
|
39 |
38
|
adantl |
|
40 |
|
1cnd |
|
41 |
39 40
|
npcand |
|
42 |
41
|
eqcomd |
|
43 |
33 36 42
|
rspcedvd |
|
44 |
|
fveq2 |
|
45 |
44
|
eqeq2d |
|
46 |
45
|
adantl |
|
47 |
20 43 46
|
rexxfrd |
|
48 |
47
|
adantr |
|
49 |
|
oveq2 |
|
50 |
49
|
rexeqdv |
|
51 |
50
|
bibi2d |
|
52 |
51
|
adantl |
|
53 |
48 52
|
mpbird |
|
54 |
19 53
|
syldan |
|
55 |
54
|
abbidv |
|
56 |
55
|
eqeq1d |
|
57 |
56
|
biimpcd |
|
58 |
15 57
|
syl6bi |
|
59 |
58
|
com23 |
|
60 |
59
|
adantl |
|
61 |
12 60
|
mpcom |
|
62 |
9 61
|
mpd |
|
63 |
5 62
|
syl5eq |
|
64 |
|
dffo2 |
|
65 |
4 63 64
|
sylanbrc |
|