Step |
Hyp |
Ref |
Expression |
1 |
|
coe1tm.z |
|
2 |
|
coe1tm.k |
|
3 |
|
coe1tm.p |
|
4 |
|
coe1tm.x |
|
5 |
|
coe1tm.m |
|
6 |
|
coe1tm.n |
|
7 |
|
coe1tm.e |
|
8 |
|
coe1tmmul.b |
|
9 |
|
coe1tmmul.t |
|
10 |
|
coe1tmmul.u |
|
11 |
|
coe1tmmul.a |
|
12 |
|
coe1tmmul.r |
|
13 |
|
coe1tmmul.c |
|
14 |
|
coe1tmmul.d |
|
15 |
2 3 4 5 6 7 8
|
ply1tmcl |
|
16 |
12 13 14 15
|
syl3anc |
|
17 |
3 9 10 8
|
coe1mul |
|
18 |
12 11 16 17
|
syl3anc |
|
19 |
|
eqeq2 |
|
20 |
|
eqeq2 |
|
21 |
12
|
adantr |
|
22 |
|
ringmnd |
|
23 |
21 22
|
syl |
|
24 |
|
ovex |
|
25 |
24
|
a1i |
|
26 |
|
simprr |
|
27 |
14
|
adantr |
|
28 |
|
simprl |
|
29 |
|
nn0sub |
|
30 |
27 28 29
|
syl2anc |
|
31 |
26 30
|
mpbid |
|
32 |
27
|
nn0ge0d |
|
33 |
|
nn0re |
|
34 |
33
|
ad2antrl |
|
35 |
14
|
nn0red |
|
36 |
35
|
adantr |
|
37 |
34 36
|
subge02d |
|
38 |
32 37
|
mpbid |
|
39 |
|
fznn0 |
|
40 |
39
|
ad2antrl |
|
41 |
31 38 40
|
mpbir2and |
|
42 |
12
|
ad2antrr |
|
43 |
|
eqid |
|
44 |
43 8 3 2
|
coe1f |
|
45 |
11 44
|
syl |
|
46 |
45
|
ad2antrr |
|
47 |
|
elfznn0 |
|
48 |
47
|
adantl |
|
49 |
46 48
|
ffvelrnd |
|
50 |
|
eqid |
|
51 |
50 8 3 2
|
coe1f |
|
52 |
16 51
|
syl |
|
53 |
52
|
ad2antrr |
|
54 |
|
fznn0sub |
|
55 |
54
|
adantl |
|
56 |
53 55
|
ffvelrnd |
|
57 |
2 10
|
ringcl |
|
58 |
42 49 56 57
|
syl3anc |
|
59 |
58
|
fmpttd |
|
60 |
12
|
ad2antrr |
|
61 |
13
|
ad2antrr |
|
62 |
14
|
ad2antrr |
|
63 |
|
eldifi |
|
64 |
63 54
|
syl |
|
65 |
64
|
adantl |
|
66 |
|
eldifsn |
|
67 |
|
simplrl |
|
68 |
67
|
nn0cnd |
|
69 |
47
|
nn0cnd |
|
70 |
69
|
adantl |
|
71 |
68 70
|
nncand |
|
72 |
71
|
eqcomd |
|
73 |
|
oveq2 |
|
74 |
73
|
eqeq2d |
|
75 |
72 74
|
syl5ibrcom |
|
76 |
75
|
necon3d |
|
77 |
76
|
impr |
|
78 |
66 77
|
sylan2b |
|
79 |
1 2 3 4 5 6 7 60 61 62 65 78
|
coe1tmfv2 |
|
80 |
79
|
oveq2d |
|
81 |
2 10 1
|
ringrz |
|
82 |
42 49 81
|
syl2anc |
|
83 |
63 82
|
sylan2 |
|
84 |
80 83
|
eqtrd |
|
85 |
84 25
|
suppss2 |
|
86 |
2 1 23 25 41 59 85
|
gsumpt |
|
87 |
|
fveq2 |
|
88 |
|
oveq2 |
|
89 |
88
|
fveq2d |
|
90 |
87 89
|
oveq12d |
|
91 |
|
eqid |
|
92 |
|
ovex |
|
93 |
90 91 92
|
fvmpt |
|
94 |
41 93
|
syl |
|
95 |
28
|
nn0cnd |
|
96 |
27
|
nn0cnd |
|
97 |
95 96
|
nncand |
|
98 |
97
|
fveq2d |
|
99 |
13
|
adantr |
|
100 |
1 2 3 4 5 6 7
|
coe1tmfv1 |
|
101 |
21 99 27 100
|
syl3anc |
|
102 |
98 101
|
eqtrd |
|
103 |
102
|
oveq2d |
|
104 |
86 94 103
|
3eqtrd |
|
105 |
104
|
anassrs |
|
106 |
12
|
ad2antrr |
|
107 |
13
|
ad2antrr |
|
108 |
14
|
ad2antrr |
|
109 |
54
|
ad2antll |
|
110 |
54
|
nn0red |
|
111 |
110
|
ad2antll |
|
112 |
33
|
ad2antlr |
|
113 |
35
|
ad2antrr |
|
114 |
47
|
ad2antll |
|
115 |
114
|
nn0ge0d |
|
116 |
47
|
nn0red |
|
117 |
116
|
ad2antll |
|
118 |
112 117
|
subge02d |
|
119 |
115 118
|
mpbid |
|
120 |
|
simprl |
|
121 |
112 113
|
ltnled |
|
122 |
120 121
|
mpbird |
|
123 |
111 112 113 119 122
|
lelttrd |
|
124 |
111 123
|
gtned |
|
125 |
1 2 3 4 5 6 7 106 107 108 109 124
|
coe1tmfv2 |
|
126 |
125
|
oveq2d |
|
127 |
45
|
ad2antrr |
|
128 |
127 114
|
ffvelrnd |
|
129 |
106 128 81
|
syl2anc |
|
130 |
126 129
|
eqtrd |
|
131 |
130
|
anassrs |
|
132 |
131
|
mpteq2dva |
|
133 |
132
|
oveq2d |
|
134 |
12 22
|
syl |
|
135 |
1
|
gsumz |
|
136 |
134 24 135
|
sylancl |
|
137 |
136
|
ad2antrr |
|
138 |
133 137
|
eqtrd |
|
139 |
19 20 105 138
|
ifbothda |
|
140 |
139
|
mpteq2dva |
|
141 |
18 140
|
eqtrd |
|