Step |
Hyp |
Ref |
Expression |
1 |
|
seqhomo.1 |
|
2 |
|
seqhomo.2 |
|
3 |
|
seqz.3 |
|
4 |
|
seqz.4 |
|
5 |
|
seqz.5 |
|
6 |
|
seqz.6 |
|
7 |
|
seqz.7 |
|
8 |
|
elfzuz |
|
9 |
5 8
|
syl |
|
10 |
|
eluzelz |
|
11 |
9 10
|
syl |
|
12 |
|
seq1 |
|
13 |
11 12
|
syl |
|
14 |
13 7
|
eqtrd |
|
15 |
|
seqeq1 |
|
16 |
15
|
fveq1d |
|
17 |
16
|
eqeq1d |
|
18 |
14 17
|
syl5ibcom |
|
19 |
|
eluzel2 |
|
20 |
9 19
|
syl |
|
21 |
|
seqm1 |
|
22 |
20 21
|
sylan |
|
23 |
7
|
adantr |
|
24 |
23
|
oveq2d |
|
25 |
|
oveq1 |
|
26 |
25
|
eqeq1d |
|
27 |
4
|
ralrimiva |
|
28 |
27
|
adantr |
|
29 |
|
eluzp1m1 |
|
30 |
20 29
|
sylan |
|
31 |
|
fzssp1 |
|
32 |
11
|
zcnd |
|
33 |
|
ax-1cn |
|
34 |
|
npcan |
|
35 |
32 33 34
|
sylancl |
|
36 |
35
|
oveq2d |
|
37 |
31 36
|
sseqtrid |
|
38 |
|
elfzuz3 |
|
39 |
5 38
|
syl |
|
40 |
|
fzss2 |
|
41 |
39 40
|
syl |
|
42 |
37 41
|
sstrd |
|
43 |
42
|
adantr |
|
44 |
43
|
sselda |
|
45 |
2
|
adantlr |
|
46 |
44 45
|
syldan |
|
47 |
1
|
adantlr |
|
48 |
30 46 47
|
seqcl |
|
49 |
26 28 48
|
rspcdva |
|
50 |
24 49
|
eqtrd |
|
51 |
22 50
|
eqtrd |
|
52 |
51
|
ex |
|
53 |
|
uzp1 |
|
54 |
9 53
|
syl |
|
55 |
18 52 54
|
mpjaod |
|
56 |
55 7
|
eqtr4d |
|
57 |
|
eqidd |
|
58 |
9 56 39 57
|
seqfveq2 |
|
59 |
|
fvex |
|
60 |
59
|
elsn |
|
61 |
7 60
|
sylibr |
|
62 |
|
simprl |
|
63 |
|
velsn |
|
64 |
62 63
|
sylib |
|
65 |
64
|
oveq1d |
|
66 |
|
oveq2 |
|
67 |
66
|
eqeq1d |
|
68 |
3
|
ralrimiva |
|
69 |
68
|
adantr |
|
70 |
|
simprr |
|
71 |
67 69 70
|
rspcdva |
|
72 |
65 71
|
eqtrd |
|
73 |
|
ovex |
|
74 |
73
|
elsn |
|
75 |
72 74
|
sylibr |
|
76 |
|
peano2uz |
|
77 |
9 76
|
syl |
|
78 |
|
fzss1 |
|
79 |
77 78
|
syl |
|
80 |
79
|
sselda |
|
81 |
80 2
|
syldan |
|
82 |
61 75 39 81
|
seqcl2 |
|
83 |
|
elsni |
|
84 |
82 83
|
syl |
|
85 |
58 84
|
eqtrd |
|