Step |
Hyp |
Ref |
Expression |
1 |
|
fseq1p1m1.1 |
|
2 |
|
simpr1 |
|
3 |
|
nn0p1nn |
|
4 |
3
|
adantr |
|
5 |
|
simpr2 |
|
6 |
|
fsng |
|
7 |
1 6
|
mpbiri |
|
8 |
4 5 7
|
syl2anc |
|
9 |
5
|
snssd |
|
10 |
8 9
|
fssd |
|
11 |
|
fzp1disj |
|
12 |
11
|
a1i |
|
13 |
2 10 12
|
fun2d |
|
14 |
|
1z |
|
15 |
|
simpl |
|
16 |
|
nn0uz |
|
17 |
|
1m1e0 |
|
18 |
17
|
fveq2i |
|
19 |
16 18
|
eqtr4i |
|
20 |
15 19
|
eleqtrdi |
|
21 |
|
fzsuc2 |
|
22 |
14 20 21
|
sylancr |
|
23 |
22
|
eqcomd |
|
24 |
23
|
feq2d |
|
25 |
13 24
|
mpbid |
|
26 |
|
simpr3 |
|
27 |
26
|
feq1d |
|
28 |
25 27
|
mpbird |
|
29 |
|
ovex |
|
30 |
29
|
snid |
|
31 |
|
fvres |
|
32 |
30 31
|
ax-mp |
|
33 |
26
|
reseq1d |
|
34 |
|
ffn |
|
35 |
|
fnresdisj |
|
36 |
2 34 35
|
3syl |
|
37 |
12 36
|
mpbid |
|
38 |
37
|
uneq1d |
|
39 |
|
resundir |
|
40 |
|
uncom |
|
41 |
|
un0 |
|
42 |
40 41
|
eqtr2i |
|
43 |
38 39 42
|
3eqtr4g |
|
44 |
|
ffn |
|
45 |
|
fnresdm |
|
46 |
10 44 45
|
3syl |
|
47 |
33 43 46
|
3eqtrd |
|
48 |
47
|
fveq1d |
|
49 |
1
|
fveq1i |
|
50 |
|
fvsng |
|
51 |
49 50
|
syl5eq |
|
52 |
4 5 51
|
syl2anc |
|
53 |
48 52
|
eqtrd |
|
54 |
32 53
|
eqtr3id |
|
55 |
26
|
reseq1d |
|
56 |
|
incom |
|
57 |
56 12
|
syl5eq |
|
58 |
|
ffn |
|
59 |
|
fnresdisj |
|
60 |
8 58 59
|
3syl |
|
61 |
57 60
|
mpbid |
|
62 |
61
|
uneq2d |
|
63 |
|
resundir |
|
64 |
|
un0 |
|
65 |
64
|
eqcomi |
|
66 |
62 63 65
|
3eqtr4g |
|
67 |
|
fnresdm |
|
68 |
2 34 67
|
3syl |
|
69 |
55 66 68
|
3eqtrrd |
|
70 |
28 54 69
|
3jca |
|
71 |
|
simpr1 |
|
72 |
|
fzssp1 |
|
73 |
|
fssres |
|
74 |
71 72 73
|
sylancl |
|
75 |
|
simpr3 |
|
76 |
75
|
feq1d |
|
77 |
74 76
|
mpbird |
|
78 |
|
simpr2 |
|
79 |
3
|
adantr |
|
80 |
|
nnuz |
|
81 |
79 80
|
eleqtrdi |
|
82 |
|
eluzfz2 |
|
83 |
81 82
|
syl |
|
84 |
71 83
|
ffvelrnd |
|
85 |
78 84
|
eqeltrrd |
|
86 |
|
ffn |
|
87 |
71 86
|
syl |
|
88 |
|
fnressn |
|
89 |
87 83 88
|
syl2anc |
|
90 |
|
opeq2 |
|
91 |
90
|
sneqd |
|
92 |
78 91
|
syl |
|
93 |
89 92
|
eqtrd |
|
94 |
1 93
|
eqtr4id |
|
95 |
75 94
|
uneq12d |
|
96 |
|
simpl |
|
97 |
96 19
|
eleqtrdi |
|
98 |
14 97 21
|
sylancr |
|
99 |
98
|
reseq2d |
|
100 |
|
resundi |
|
101 |
99 100
|
eqtr2di |
|
102 |
|
fnresdm |
|
103 |
71 86 102
|
3syl |
|
104 |
95 101 103
|
3eqtrrd |
|
105 |
77 85 104
|
3jca |
|
106 |
70 105
|
impbida |
|