| Step |
Hyp |
Ref |
Expression |
| 1 |
|
evlslem2.p |
|
| 2 |
|
evlslem2.b |
|
| 3 |
|
evlslem2.m |
|
| 4 |
|
evlslem2.z |
|
| 5 |
|
evlslem2.d |
|
| 6 |
|
evlslem2.i |
|
| 7 |
|
evlslem2.r |
|
| 8 |
|
evlslem2.s |
|
| 9 |
|
evlslem2.e1 |
|
| 10 |
|
evlslem2.e2 |
|
| 11 |
|
eqid |
|
| 12 |
|
eqid |
|
| 13 |
|
ovex |
|
| 14 |
5 13
|
rabex2 |
|
| 15 |
14
|
a1i |
|
| 16 |
|
crngring |
|
| 17 |
7 16
|
syl |
|
| 18 |
1 6 17
|
mplringd |
|
| 19 |
18
|
adantr |
|
| 20 |
|
eqid |
|
| 21 |
6
|
ad2antrr |
|
| 22 |
17
|
ad2antrr |
|
| 23 |
|
simprl |
|
| 24 |
1 20 2 5 23
|
mplelf |
|
| 25 |
24
|
ffvelcdmda |
|
| 26 |
|
simpr |
|
| 27 |
1 5 4 20 21 22 2 25 26
|
mplmon2cl |
|
| 28 |
6
|
ad2antrr |
|
| 29 |
17
|
ad2antrr |
|
| 30 |
|
simprr |
|
| 31 |
1 20 2 5 30
|
mplelf |
|
| 32 |
31
|
ffvelcdmda |
|
| 33 |
|
simpr |
|
| 34 |
1 5 4 20 28 29 2 32 33
|
mplmon2cl |
|
| 35 |
14
|
mptex |
|
| 36 |
|
funmpt |
|
| 37 |
|
fvex |
|
| 38 |
35 36 37
|
3pm3.2i |
|
| 39 |
38
|
a1i |
|
| 40 |
|
simpr |
|
| 41 |
1 2 4 40
|
mplelsfi |
|
| 42 |
41
|
fsuppimpd |
|
| 43 |
1 20 2 5 40
|
mplelf |
|
| 44 |
|
ssidd |
|
| 45 |
14
|
a1i |
|
| 46 |
4
|
fvexi |
|
| 47 |
46
|
a1i |
|
| 48 |
43 44 45 47
|
suppssr |
|
| 49 |
48
|
ifeq1d |
|
| 50 |
|
ifid |
|
| 51 |
49 50
|
eqtrdi |
|
| 52 |
51
|
mpteq2dv |
|
| 53 |
|
ringgrp |
|
| 54 |
17 53
|
syl |
|
| 55 |
1 5 4 12 6 54
|
mpl0 |
|
| 56 |
|
fconstmpt |
|
| 57 |
55 56
|
eqtrdi |
|
| 58 |
57
|
ad2antrr |
|
| 59 |
52 58
|
eqtr4d |
|
| 60 |
59 45
|
suppss2 |
|
| 61 |
|
suppssfifsupp |
|
| 62 |
39 42 60 61
|
syl12anc |
|
| 63 |
62
|
ralrimiva |
|
| 64 |
|
fveq1 |
|
| 65 |
64
|
ifeq1d |
|
| 66 |
65
|
mpteq2dv |
|
| 67 |
66
|
mpteq2dv |
|
| 68 |
67
|
breq1d |
|
| 69 |
68
|
cbvralvw |
|
| 70 |
63 69
|
sylib |
|
| 71 |
70
|
r19.21bi |
|
| 72 |
71
|
adantrr |
|
| 73 |
|
equequ2 |
|
| 74 |
|
fveq2 |
|
| 75 |
73 74
|
ifbieq1d |
|
| 76 |
75
|
mpteq2dv |
|
| 77 |
76
|
cbvmptv |
|
| 78 |
62
|
adantrl |
|
| 79 |
77 78
|
eqbrtrid |
|
| 80 |
2 11 12 15 15 19 27 34 72 79
|
gsumdixp |
|
| 81 |
80
|
fveq2d |
|
| 82 |
|
ringcmn |
|
| 83 |
18 82
|
syl |
|
| 84 |
83
|
adantr |
|
| 85 |
|
crngring |
|
| 86 |
8 85
|
syl |
|
| 87 |
86
|
adantr |
|
| 88 |
|
ringmnd |
|
| 89 |
87 88
|
syl |
|
| 90 |
14 14
|
xpex |
|
| 91 |
90
|
a1i |
|
| 92 |
|
ghmmhm |
|
| 93 |
9 92
|
syl |
|
| 94 |
93
|
adantr |
|
| 95 |
18
|
ad2antrr |
|
| 96 |
27
|
adantrr |
|
| 97 |
34
|
adantrl |
|
| 98 |
2 11
|
ringcl |
|
| 99 |
95 96 97 98
|
syl3anc |
|
| 100 |
99
|
ralrimivva |
|
| 101 |
|
eqid |
|
| 102 |
101
|
fmpo |
|
| 103 |
100 102
|
sylib |
|
| 104 |
14 14
|
mpoex |
|
| 105 |
101
|
mpofun |
|
| 106 |
104 105 37
|
3pm3.2i |
|
| 107 |
106
|
a1i |
|
| 108 |
72
|
fsuppimpd |
|
| 109 |
79
|
fsuppimpd |
|
| 110 |
|
xpfi |
|
| 111 |
108 109 110
|
syl2anc |
|
| 112 |
2 12 11 19 27 34 15 15
|
evlslem4 |
|
| 113 |
|
suppssfifsupp |
|
| 114 |
107 111 112 113
|
syl12anc |
|
| 115 |
2 12 84 89 91 94 103 114
|
gsummhm |
|
| 116 |
6
|
ad2antrr |
|
| 117 |
7
|
ad2antrr |
|
| 118 |
|
eqid |
|
| 119 |
|
simprl |
|
| 120 |
|
simprr |
|
| 121 |
25
|
adantrr |
|
| 122 |
32
|
adantrl |
|
| 123 |
1 5 4 20 116 117 11 118 119 120 121 122
|
mplmon2mul |
|
| 124 |
123
|
fveq2d |
|
| 125 |
10
|
anassrs |
|
| 126 |
124 125
|
eqtrd |
|
| 127 |
126
|
3impb |
|
| 128 |
127
|
mpoeq3dva |
|
| 129 |
128
|
oveq2d |
|
| 130 |
|
eqidd |
|
| 131 |
|
eqid |
|
| 132 |
2 131
|
ghmf |
|
| 133 |
9 132
|
syl |
|
| 134 |
133
|
feqmptd |
|
| 135 |
134
|
adantr |
|
| 136 |
|
fveq2 |
|
| 137 |
99 130 135 136
|
fmpoco |
|
| 138 |
137
|
oveq2d |
|
| 139 |
|
eqidd |
|
| 140 |
|
fveq2 |
|
| 141 |
27 139 135 140
|
fmptco |
|
| 142 |
141
|
oveq2d |
|
| 143 |
|
eqidd |
|
| 144 |
|
fveq2 |
|
| 145 |
34 143 135 144
|
fmptco |
|
| 146 |
145
|
oveq2d |
|
| 147 |
142 146
|
oveq12d |
|
| 148 |
|
eqid |
|
| 149 |
133
|
ad2antrr |
|
| 150 |
149 27
|
ffvelcdmd |
|
| 151 |
133
|
ad2antrr |
|
| 152 |
151 34
|
ffvelcdmd |
|
| 153 |
14
|
mptex |
|
| 154 |
|
funmpt |
|
| 155 |
|
fvex |
|
| 156 |
153 154 155
|
3pm3.2i |
|
| 157 |
156
|
a1i |
|
| 158 |
|
ssidd |
|
| 159 |
12 148
|
ghmid |
|
| 160 |
9 159
|
syl |
|
| 161 |
14
|
mptex |
|
| 162 |
161
|
a1i |
|
| 163 |
37
|
a1i |
|
| 164 |
158 160 162 163
|
suppssfv |
|
| 165 |
164
|
adantr |
|
| 166 |
|
suppssfifsupp |
|
| 167 |
157 108 165 166
|
syl12anc |
|
| 168 |
14
|
mptex |
|
| 169 |
|
funmpt |
|
| 170 |
168 169 155
|
3pm3.2i |
|
| 171 |
170
|
a1i |
|
| 172 |
|
ssidd |
|
| 173 |
14
|
mptex |
|
| 174 |
173
|
a1i |
|
| 175 |
172 160 174 163
|
suppssfv |
|
| 176 |
175
|
adantr |
|
| 177 |
|
suppssfifsupp |
|
| 178 |
171 109 176 177
|
syl12anc |
|
| 179 |
131 3 148 15 15 87 150 152 167 178
|
gsumdixp |
|
| 180 |
147 179
|
eqtrd |
|
| 181 |
129 138 180
|
3eqtr4d |
|
| 182 |
81 115 181
|
3eqtr2d |
|
| 183 |
6
|
adantr |
|
| 184 |
17
|
adantr |
|
| 185 |
1 5 4 2 183 184 23
|
mplcoe4 |
|
| 186 |
1 5 4 2 183 184 30
|
mplcoe4 |
|
| 187 |
185 186
|
oveq12d |
|
| 188 |
187
|
fveq2d |
|
| 189 |
185
|
fveq2d |
|
| 190 |
27
|
fmpttd |
|
| 191 |
2 12 84 89 15 94 190 72
|
gsummhm |
|
| 192 |
189 191
|
eqtr4d |
|
| 193 |
186
|
fveq2d |
|
| 194 |
34
|
fmpttd |
|
| 195 |
2 12 84 89 15 94 194 79
|
gsummhm |
|
| 196 |
193 195
|
eqtr4d |
|
| 197 |
192 196
|
oveq12d |
|
| 198 |
182 188 197
|
3eqtr4d |
|