Step |
Hyp |
Ref |
Expression |
1 |
|
psrbag.d |
|
2 |
|
psrbagconf1o.s |
|
3 |
|
gsumbagdiagOLD.i |
|
4 |
|
gsumbagdiagOLD.f |
|
5 |
|
gsumbagdiagOLD.b |
|
6 |
|
gsumbagdiagOLD.g |
|
7 |
|
gsumbagdiagOLD.x |
|
8 |
|
psrass1lemOLD.y |
|
9 |
1 2 3 4
|
gsumbagdiaglemOLD |
|
10 |
7
|
anassrs |
|
11 |
10
|
fmpttd |
|
12 |
3
|
adantr |
|
13 |
2
|
ssrab3 |
|
14 |
4
|
adantr |
|
15 |
|
simpr |
|
16 |
1 2
|
psrbagconclOLD |
|
17 |
12 14 15 16
|
syl3anc |
|
18 |
13 17
|
sselid |
|
19 |
|
eqid |
|
20 |
1 19
|
psrbagconf1oOLD |
|
21 |
12 18 20
|
syl2anc |
|
22 |
|
f1of |
|
23 |
21 22
|
syl |
|
24 |
|
fco |
|
25 |
11 23 24
|
syl2anc |
|
26 |
12
|
adantr |
|
27 |
14
|
adantr |
|
28 |
1
|
psrbagfOLD |
|
29 |
26 27 28
|
syl2anc |
|
30 |
29
|
ffvelrnda |
|
31 |
15
|
adantr |
|
32 |
13 31
|
sselid |
|
33 |
1
|
psrbagfOLD |
|
34 |
26 32 33
|
syl2anc |
|
35 |
34
|
ffvelrnda |
|
36 |
|
ssrab2 |
|
37 |
|
simpr |
|
38 |
36 37
|
sselid |
|
39 |
1
|
psrbagfOLD |
|
40 |
26 38 39
|
syl2anc |
|
41 |
40
|
ffvelrnda |
|
42 |
|
nn0cn |
|
43 |
|
nn0cn |
|
44 |
|
nn0cn |
|
45 |
|
sub32 |
|
46 |
42 43 44 45
|
syl3an |
|
47 |
30 35 41 46
|
syl3anc |
|
48 |
47
|
mpteq2dva |
|
49 |
|
ovexd |
|
50 |
29
|
feqmptd |
|
51 |
34
|
feqmptd |
|
52 |
26 30 35 50 51
|
offval2 |
|
53 |
40
|
feqmptd |
|
54 |
26 49 41 52 53
|
offval2 |
|
55 |
|
ovexd |
|
56 |
26 30 41 50 53
|
offval2 |
|
57 |
26 55 35 56 51
|
offval2 |
|
58 |
48 54 57
|
3eqtr4d |
|
59 |
18
|
adantr |
|
60 |
1 19
|
psrbagconclOLD |
|
61 |
26 59 37 60
|
syl3anc |
|
62 |
58 61
|
eqeltrrd |
|
63 |
58
|
mpteq2dva |
|
64 |
|
nfcv |
|
65 |
|
nfcsb1v |
|
66 |
|
csbeq1a |
|
67 |
64 65 66
|
cbvmpt |
|
68 |
67
|
a1i |
|
69 |
|
csbeq1 |
|
70 |
62 63 68 69
|
fmptco |
|
71 |
70
|
feq1d |
|
72 |
25 71
|
mpbid |
|
73 |
72
|
fvmptelrn |
|
74 |
73
|
anasss |
|
75 |
9 74
|
syldan |
|
76 |
1 2 3 4 5 6 75
|
gsumbagdiagOLD |
|
77 |
|
eqid |
|
78 |
1
|
psrbaglefiOLD |
|
79 |
3 4 78
|
syl2anc |
|
80 |
2 79
|
eqeltrid |
|
81 |
3
|
adantr |
|
82 |
4
|
adantr |
|
83 |
|
simpr |
|
84 |
1 2
|
psrbagconclOLD |
|
85 |
81 82 83 84
|
syl3anc |
|
86 |
13 85
|
sselid |
|
87 |
1
|
psrbaglefiOLD |
|
88 |
81 86 87
|
syl2anc |
|
89 |
|
xpfi |
|
90 |
80 80 89
|
syl2anc |
|
91 |
|
simprl |
|
92 |
9
|
simpld |
|
93 |
|
brxp |
|
94 |
91 92 93
|
sylanbrc |
|
95 |
94
|
pm2.24d |
|
96 |
95
|
impr |
|
97 |
5 77 6 80 88 75 90 96
|
gsum2d2 |
|
98 |
1
|
psrbaglefiOLD |
|
99 |
12 18 98
|
syl2anc |
|
100 |
|
simprl |
|
101 |
1 2 3 4
|
gsumbagdiaglemOLD |
|
102 |
101
|
simpld |
|
103 |
|
brxp |
|
104 |
100 102 103
|
sylanbrc |
|
105 |
104
|
pm2.24d |
|
106 |
105
|
impr |
|
107 |
5 77 6 80 99 74 90 106
|
gsum2d2 |
|
108 |
76 97 107
|
3eqtr3d |
|
109 |
6
|
adantr |
|
110 |
75
|
anassrs |
|
111 |
110
|
fmpttd |
|
112 |
|
ovex |
|
113 |
1 112
|
rabex2 |
|
114 |
113
|
a1i |
|
115 |
|
rabexg |
|
116 |
|
mptexg |
|
117 |
114 115 116
|
3syl |
|
118 |
|
funmpt |
|
119 |
118
|
a1i |
|
120 |
|
fvexd |
|
121 |
|
suppssdm |
|
122 |
|
eqid |
|
123 |
122
|
dmmptss |
|
124 |
121 123
|
sstri |
|
125 |
124
|
a1i |
|
126 |
|
suppssfifsupp |
|
127 |
117 119 120 88 125 126
|
syl32anc |
|
128 |
5 77 109 88 111 127
|
gsumcl |
|
129 |
128
|
fmpttd |
|
130 |
1 2
|
psrbagconf1oOLD |
|
131 |
3 4 130
|
syl2anc |
|
132 |
|
f1ocnv |
|
133 |
|
f1of |
|
134 |
131 132 133
|
3syl |
|
135 |
|
fco |
|
136 |
129 134 135
|
syl2anc |
|
137 |
|
coass |
|
138 |
|
f1ococnv2 |
|
139 |
131 138
|
syl |
|
140 |
139
|
coeq2d |
|
141 |
137 140
|
syl5eq |
|
142 |
|
eqidd |
|
143 |
|
eqidd |
|
144 |
|
breq2 |
|
145 |
144
|
rabbidv |
|
146 |
|
ovex |
|
147 |
146 8
|
csbie |
|
148 |
|
oveq1 |
|
149 |
148
|
csbeq1d |
|
150 |
147 149
|
eqtr3id |
|
151 |
145 150
|
mpteq12dv |
|
152 |
151
|
oveq2d |
|
153 |
85 142 143 152
|
fmptco |
|
154 |
153
|
coeq1d |
|
155 |
|
coires1 |
|
156 |
|
ssid |
|
157 |
|
resmpt |
|
158 |
156 157
|
ax-mp |
|
159 |
155 158
|
eqtri |
|
160 |
159
|
a1i |
|
161 |
141 154 160
|
3eqtr3d |
|
162 |
161
|
feq1d |
|
163 |
136 162
|
mpbid |
|
164 |
|
rabexg |
|
165 |
113 164
|
mp1i |
|
166 |
2 165
|
eqeltrid |
|
167 |
166
|
mptexd |
|
168 |
|
funmpt |
|
169 |
168
|
a1i |
|
170 |
|
fvexd |
|
171 |
|
suppssdm |
|
172 |
|
eqid |
|
173 |
172
|
dmmptss |
|
174 |
171 173
|
sstri |
|
175 |
174
|
a1i |
|
176 |
|
suppssfifsupp |
|
177 |
167 169 170 80 175 176
|
syl32anc |
|
178 |
5 77 6 80 163 177 131
|
gsumf1o |
|
179 |
153
|
oveq2d |
|
180 |
178 179
|
eqtrd |
|
181 |
6
|
adantr |
|
182 |
113
|
a1i |
|
183 |
|
rabexg |
|
184 |
|
mptexg |
|
185 |
182 183 184
|
3syl |
|
186 |
|
funmpt |
|
187 |
186
|
a1i |
|
188 |
|
fvexd |
|
189 |
|
suppssdm |
|
190 |
|
eqid |
|
191 |
190
|
dmmptss |
|
192 |
189 191
|
sstri |
|
193 |
192
|
a1i |
|
194 |
|
suppssfifsupp |
|
195 |
185 187 188 99 193 194
|
syl32anc |
|
196 |
5 77 181 99 11 195 21
|
gsumf1o |
|
197 |
70
|
oveq2d |
|
198 |
196 197
|
eqtrd |
|
199 |
198
|
mpteq2dva |
|
200 |
199
|
oveq2d |
|
201 |
108 180 200
|
3eqtr4d |
|