Step |
Hyp |
Ref |
Expression |
1 |
|
gsumzmhm.b |
|
2 |
|
gsumzmhm.z |
|
3 |
|
gsumzmhm.g |
|
4 |
|
gsumzmhm.h |
|
5 |
|
gsumzmhm.a |
|
6 |
|
gsumzmhm.k |
|
7 |
|
gsumzmhm.f |
|
8 |
|
gsumzmhm.c |
|
9 |
|
gsumzmhm.0 |
|
10 |
|
gsumzmhm.w |
|
11 |
|
eqid |
|
12 |
11
|
gsumz |
|
13 |
4 5 12
|
syl2anc |
|
14 |
13
|
adantr |
|
15 |
9 11
|
mhm0 |
|
16 |
6 15
|
syl |
|
17 |
16
|
adantr |
|
18 |
14 17
|
eqtr4d |
|
19 |
1 9
|
mndidcl |
|
20 |
3 19
|
syl |
|
21 |
20
|
ad2antrr |
|
22 |
9
|
fvexi |
|
23 |
22
|
a1i |
|
24 |
|
fex |
|
25 |
7 5 24
|
syl2anc |
|
26 |
|
suppimacnv |
|
27 |
25 23 26
|
syl2anc |
|
28 |
|
ssid |
|
29 |
27 28
|
eqsstrdi |
|
30 |
7 5 23 29
|
gsumcllem |
|
31 |
|
eqid |
|
32 |
1 31
|
mhmf |
|
33 |
6 32
|
syl |
|
34 |
33
|
feqmptd |
|
35 |
34
|
adantr |
|
36 |
|
fveq2 |
|
37 |
21 30 35 36
|
fmptco |
|
38 |
16
|
mpteq2dv |
|
39 |
38
|
adantr |
|
40 |
37 39
|
eqtrd |
|
41 |
40
|
oveq2d |
|
42 |
30
|
oveq2d |
|
43 |
9
|
gsumz |
|
44 |
3 5 43
|
syl2anc |
|
45 |
44
|
adantr |
|
46 |
42 45
|
eqtrd |
|
47 |
46
|
fveq2d |
|
48 |
18 41 47
|
3eqtr4d |
|
49 |
48
|
ex |
|
50 |
3
|
adantr |
|
51 |
|
eqid |
|
52 |
1 51
|
mndcl |
|
53 |
52
|
3expb |
|
54 |
50 53
|
sylan |
|
55 |
|
f1of1 |
|
56 |
55
|
ad2antll |
|
57 |
|
cnvimass |
|
58 |
7
|
adantr |
|
59 |
57 58
|
fssdm |
|
60 |
|
f1ss |
|
61 |
56 59 60
|
syl2anc |
|
62 |
|
f1f |
|
63 |
61 62
|
syl |
|
64 |
|
fco |
|
65 |
7 63 64
|
syl2an2r |
|
66 |
65
|
ffvelrnda |
|
67 |
|
simprl |
|
68 |
|
nnuz |
|
69 |
67 68
|
eleqtrdi |
|
70 |
6
|
adantr |
|
71 |
|
eqid |
|
72 |
1 51 71
|
mhmlin |
|
73 |
72
|
3expb |
|
74 |
70 73
|
sylan |
|
75 |
|
coass |
|
76 |
75
|
fveq1i |
|
77 |
|
fvco3 |
|
78 |
65 77
|
sylan |
|
79 |
76 78
|
syl5req |
|
80 |
54 66 69 74 79
|
seqhomo |
|
81 |
5
|
adantr |
|
82 |
8
|
adantr |
|
83 |
29
|
adantr |
|
84 |
|
f1ofo |
|
85 |
|
forn |
|
86 |
84 85
|
syl |
|
87 |
86
|
ad2antll |
|
88 |
83 87
|
sseqtrrd |
|
89 |
|
eqid |
|
90 |
1 9 51 2 50 81 58 82 67 61 88 89
|
gsumval3 |
|
91 |
90
|
fveq2d |
|
92 |
|
eqid |
|
93 |
4
|
adantr |
|
94 |
|
fco |
|
95 |
33 58 94
|
syl2an2r |
|
96 |
2 92
|
cntzmhm2 |
|
97 |
6 82 96
|
syl2an2r |
|
98 |
|
rnco2 |
|
99 |
98
|
fveq2i |
|
100 |
97 98 99
|
3sstr4g |
|
101 |
|
eldifi |
|
102 |
|
fvco3 |
|
103 |
58 101 102
|
syl2an |
|
104 |
22
|
a1i |
|
105 |
58 83 81 104
|
suppssr |
|
106 |
105
|
fveq2d |
|
107 |
16
|
ad2antrr |
|
108 |
103 106 107
|
3eqtrd |
|
109 |
95 108
|
suppss |
|
110 |
109 87
|
sseqtrrd |
|
111 |
|
eqid |
|
112 |
31 11 71 92 93 81 95 100 67 61 110 111
|
gsumval3 |
|
113 |
80 91 112
|
3eqtr4rd |
|
114 |
113
|
expr |
|
115 |
114
|
exlimdv |
|
116 |
115
|
expimpd |
|
117 |
10
|
fsuppimpd |
|
118 |
27 117
|
eqeltrrd |
|
119 |
|
fz1f1o |
|
120 |
118 119
|
syl |
|
121 |
49 116 120
|
mpjaod |
|