Step |
Hyp |
Ref |
Expression |
1 |
|
dpjfval.1 |
|
2 |
|
dpjfval.2 |
|
3 |
|
dpjfval.p |
|
4 |
|
dpjidcl.3 |
|
5 |
|
dpjidcl.0 |
|
6 |
|
dpjidcl.w |
|
7 |
5 6
|
eldprd |
|
8 |
2 7
|
syl |
|
9 |
4 8
|
mpbid |
|
10 |
9
|
simprd |
|
11 |
1
|
adantr |
|
12 |
2
|
adantr |
|
13 |
1
|
ad2antrr |
|
14 |
2
|
ad2antrr |
|
15 |
|
simpr |
|
16 |
13 14 3 15
|
dpjf |
|
17 |
4
|
ad2antrr |
|
18 |
16 17
|
ffvelrnd |
|
19 |
1 2
|
dprddomcld |
|
20 |
19
|
mptexd |
|
21 |
20
|
adantr |
|
22 |
|
funmpt |
|
23 |
22
|
a1i |
|
24 |
|
simprl |
|
25 |
6 11 12 24
|
dprdffsupp |
|
26 |
|
eldifi |
|
27 |
|
eqid |
|
28 |
13 14 3 27 15
|
dpjval |
|
29 |
28
|
fveq1d |
|
30 |
26 29
|
sylan2 |
|
31 |
|
simplrr |
|
32 |
|
eqid |
|
33 |
|
eqid |
|
34 |
|
dprdgrp |
|
35 |
|
grpmnd |
|
36 |
11 34 35
|
3syl |
|
37 |
36
|
adantr |
|
38 |
19
|
ad2antrr |
|
39 |
6 11 12 24 32
|
dprdff |
|
40 |
39
|
adantr |
|
41 |
24
|
adantr |
|
42 |
6 13 14 41 33
|
dprdfcntz |
|
43 |
26 42
|
sylan2 |
|
44 |
|
snssi |
|
45 |
44
|
adantl |
|
46 |
45
|
difss2d |
|
47 |
|
suppssdm |
|
48 |
47 39
|
fssdm |
|
49 |
48
|
adantr |
|
50 |
|
ssconb |
|
51 |
46 49 50
|
syl2anc |
|
52 |
45 51
|
mpbid |
|
53 |
25
|
adantr |
|
54 |
32 5 33 37 38 40 43 52 53
|
gsumzres |
|
55 |
31 54
|
eqtr4d |
|
56 |
|
eqid |
|
57 |
|
difss |
|
58 |
57
|
a1i |
|
59 |
13 14 58
|
dprdres |
|
60 |
59
|
simpld |
|
61 |
13 14
|
dprdf2 |
|
62 |
|
fssres |
|
63 |
61 57 62
|
sylancl |
|
64 |
63
|
fdmd |
|
65 |
39
|
adantr |
|
66 |
65
|
feqmptd |
|
67 |
66
|
reseq1d |
|
68 |
|
resmpt |
|
69 |
57 68
|
ax-mp |
|
70 |
67 69
|
eqtrdi |
|
71 |
|
eldifi |
|
72 |
6 13 14 41
|
dprdfcl |
|
73 |
71 72
|
sylan2 |
|
74 |
|
fvres |
|
75 |
74
|
adantl |
|
76 |
73 75
|
eleqtrrd |
|
77 |
|
difexg |
|
78 |
19 77
|
syl |
|
79 |
78
|
mptexd |
|
80 |
79
|
ad2antrr |
|
81 |
|
funmpt |
|
82 |
81
|
a1i |
|
83 |
25
|
adantr |
|
84 |
|
ssdif |
|
85 |
57 84
|
ax-mp |
|
86 |
85
|
sseli |
|
87 |
|
ssidd |
|
88 |
19
|
ad2antrr |
|
89 |
5
|
fvexi |
|
90 |
89
|
a1i |
|
91 |
65 87 88 90
|
suppssr |
|
92 |
86 91
|
sylan2 |
|
93 |
78
|
ad2antrr |
|
94 |
92 93
|
suppss2 |
|
95 |
|
fsuppsssupp |
|
96 |
80 82 83 94 95
|
syl22anc |
|
97 |
56 60 64 76 96
|
dprdwd |
|
98 |
70 97
|
eqeltrd |
|
99 |
5 56 60 64 98
|
eldprdi |
|
100 |
26 99
|
sylan2 |
|
101 |
55 100
|
eqeltrd |
|
102 |
|
eqid |
|
103 |
|
eqid |
|
104 |
61 15
|
ffvelrnd |
|
105 |
|
dprdsubg |
|
106 |
60 105
|
syl |
|
107 |
13 14 15 5
|
dpjdisj |
|
108 |
13 14 15 33
|
dpjcntz |
|
109 |
102 103 5 33 104 106 107 108 27
|
pj1rid |
|
110 |
26 109
|
sylanl2 |
|
111 |
101 110
|
mpdan |
|
112 |
30 111
|
eqtrd |
|
113 |
19
|
adantr |
|
114 |
112 113
|
suppss2 |
|
115 |
|
fsuppsssupp |
|
116 |
21 23 25 114 115
|
syl22anc |
|
117 |
6 11 12 18 116
|
dprdwd |
|
118 |
|
simprr |
|
119 |
39
|
feqmptd |
|
120 |
|
simplrr |
|
121 |
13 34 35
|
3syl |
|
122 |
6 13 14 41
|
dprdffsupp |
|
123 |
|
disjdif |
|
124 |
123
|
a1i |
|
125 |
|
undif2 |
|
126 |
15
|
snssd |
|
127 |
|
ssequn1 |
|
128 |
126 127
|
sylib |
|
129 |
125 128
|
syl5req |
|
130 |
32 5 102 33 121 88 65 42 122 124 129
|
gsumzsplit |
|
131 |
65 126
|
feqresmpt |
|
132 |
131
|
oveq2d |
|
133 |
65 15
|
ffvelrnd |
|
134 |
|
fveq2 |
|
135 |
32 134
|
gsumsn |
|
136 |
121 15 133 135
|
syl3anc |
|
137 |
132 136
|
eqtrd |
|
138 |
137
|
oveq1d |
|
139 |
120 130 138
|
3eqtrd |
|
140 |
13 14 15 103
|
dpjlsm |
|
141 |
17 140
|
eleqtrd |
|
142 |
6 11 12 24
|
dprdfcl |
|
143 |
102 103 5 33 104 106 107 108 27 141 142 99
|
pj1eq |
|
144 |
139 143
|
mpbid |
|
145 |
144
|
simpld |
|
146 |
29 145
|
eqtrd |
|
147 |
146
|
mpteq2dva |
|
148 |
119 147
|
eqtr4d |
|
149 |
148
|
oveq2d |
|
150 |
118 149
|
eqtrd |
|
151 |
117 150
|
jca |
|
152 |
10 151
|
rexlimddv |
|