Step |
Hyp |
Ref |
Expression |
1 |
|
evlslem3.p |
|
2 |
|
evlslem3.b |
|
3 |
|
evlslem3.c |
|
4 |
|
evlslem3.k |
|
5 |
|
evlslem3.d |
|
6 |
|
evlslem3.t |
|
7 |
|
evlslem3.x |
|
8 |
|
evlslem3.m |
|
9 |
|
evlslem3.v |
|
10 |
|
evlslem3.e |
|
11 |
|
evlslem3.i |
|
12 |
|
evlslem3.r |
|
13 |
|
evlslem3.s |
|
14 |
|
evlslem3.f |
|
15 |
|
evlslem3.g |
|
16 |
|
evlslem3.z |
|
17 |
|
evlslem3.a |
|
18 |
|
evlslem3.q |
|
19 |
|
crngring |
|
20 |
12 19
|
syl |
|
21 |
1 5 16 4 11 20 2 18 17
|
mplmon2cl |
|
22 |
|
fveq1 |
|
23 |
22
|
fveq2d |
|
24 |
23
|
oveq1d |
|
25 |
24
|
mpteq2dv |
|
26 |
25
|
oveq2d |
|
27 |
|
ovex |
|
28 |
26 10 27
|
fvmpt |
|
29 |
21 28
|
syl |
|
30 |
|
eqid |
|
31 |
|
eqeq1 |
|
32 |
31
|
ifbid |
|
33 |
|
simpr |
|
34 |
16
|
fvexi |
|
35 |
34
|
a1i |
|
36 |
18 35
|
ifexd |
|
37 |
36
|
adantr |
|
38 |
30 32 33 37
|
fvmptd3 |
|
39 |
38
|
fveq2d |
|
40 |
39
|
oveq1d |
|
41 |
40
|
mpteq2dva |
|
42 |
41
|
oveq2d |
|
43 |
|
eqid |
|
44 |
|
crngring |
|
45 |
13 44
|
syl |
|
46 |
|
ringmnd |
|
47 |
45 46
|
syl |
|
48 |
|
ovex |
|
49 |
5 48
|
rabex2 |
|
50 |
49
|
a1i |
|
51 |
45
|
adantr |
|
52 |
4 3
|
rhmf |
|
53 |
14 52
|
syl |
|
54 |
4 16
|
ring0cl |
|
55 |
20 54
|
syl |
|
56 |
18 55
|
ifcld |
|
57 |
53 56
|
ffvelcdmd |
|
58 |
57
|
adantr |
|
59 |
6 3
|
mgpbas |
|
60 |
|
eqid |
|
61 |
6
|
crngmgp |
|
62 |
13 61
|
syl |
|
63 |
62
|
adantr |
|
64 |
11
|
adantr |
|
65 |
|
cmnmnd |
|
66 |
62 65
|
syl |
|
67 |
66
|
ad2antrr |
|
68 |
|
simprl |
|
69 |
|
simprr |
|
70 |
59 7 67 68 69
|
mulgnn0cld |
|
71 |
5
|
psrbagf |
|
72 |
71
|
adantl |
|
73 |
15
|
adantr |
|
74 |
|
inidm |
|
75 |
70 72 73 64 64 74
|
off |
|
76 |
|
ovex |
|
77 |
76
|
a1i |
|
78 |
75
|
ffund |
|
79 |
|
fvexd |
|
80 |
5
|
psrbag |
|
81 |
11 80
|
syl |
|
82 |
81
|
simplbda |
|
83 |
72
|
ffnd |
|
84 |
83
|
adantr |
|
85 |
15
|
ffnd |
|
86 |
85
|
ad2antrr |
|
87 |
11
|
ad2antrr |
|
88 |
|
eldifi |
|
89 |
88
|
adantl |
|
90 |
|
fnfvof |
|
91 |
84 86 87 89 90
|
syl22anc |
|
92 |
|
ffvelcdm |
|
93 |
72 88 92
|
syl2an |
|
94 |
|
elnn0 |
|
95 |
93 94
|
sylib |
|
96 |
|
eldifn |
|
97 |
96
|
adantl |
|
98 |
83
|
ad2antrr |
|
99 |
88
|
ad2antlr |
|
100 |
|
simpr |
|
101 |
98 99 100
|
elpreimad |
|
102 |
97 101
|
mtand |
|
103 |
95 102
|
orcnd |
|
104 |
103
|
oveq1d |
|
105 |
|
ffvelcdm |
|
106 |
73 88 105
|
syl2an |
|
107 |
59 60 7
|
mulg0 |
|
108 |
106 107
|
syl |
|
109 |
91 104 108
|
3eqtrd |
|
110 |
75 109
|
suppss |
|
111 |
|
suppssfifsupp |
|
112 |
77 78 79 82 110 111
|
syl32anc |
|
113 |
59 60 63 64 75 112
|
gsumcl |
|
114 |
3 8
|
ringcl |
|
115 |
51 58 113 114
|
syl3anc |
|
116 |
115
|
fmpttd |
|
117 |
|
eldifsnneq |
|
118 |
117
|
iffalsed |
|
119 |
118
|
adantl |
|
120 |
119
|
fveq2d |
|
121 |
|
rhmghm |
|
122 |
14 121
|
syl |
|
123 |
16 43
|
ghmid |
|
124 |
122 123
|
syl |
|
125 |
124
|
adantr |
|
126 |
120 125
|
eqtrd |
|
127 |
126
|
oveq1d |
|
128 |
45
|
adantr |
|
129 |
|
eldifi |
|
130 |
129 113
|
sylan2 |
|
131 |
3 8 43
|
ringlz |
|
132 |
128 130 131
|
syl2anc |
|
133 |
127 132
|
eqtrd |
|
134 |
133 50
|
suppss2 |
|
135 |
3 43 47 50 17 116 134
|
gsumpt |
|
136 |
42 135
|
eqtrd |
|
137 |
|
iftrue |
|
138 |
137
|
fveq2d |
|
139 |
|
oveq1 |
|
140 |
139
|
oveq2d |
|
141 |
138 140
|
oveq12d |
|
142 |
|
eqid |
|
143 |
|
ovex |
|
144 |
141 142 143
|
fvmpt |
|
145 |
17 144
|
syl |
|
146 |
29 136 145
|
3eqtrd |
|