Step |
Hyp |
Ref |
Expression |
1 |
|
eldprdi.0 |
|
2 |
|
eldprdi.w |
|
3 |
|
eldprdi.1 |
|
4 |
|
eldprdi.2 |
|
5 |
|
eldprdi.3 |
|
6 |
|
dprdfadd.4 |
|
7 |
|
dprdfadd.b |
|
8 |
3 4
|
dprddomcld |
|
9 |
2 3 4 5
|
dprdfcl |
|
10 |
2 3 4 6
|
dprdfcl |
|
11 |
|
eqid |
|
12 |
2 3 4 5 11
|
dprdff |
|
13 |
12
|
feqmptd |
|
14 |
2 3 4 6 11
|
dprdff |
|
15 |
14
|
feqmptd |
|
16 |
8 9 10 13 15
|
offval2 |
|
17 |
3 4
|
dprdf2 |
|
18 |
17
|
ffvelrnda |
|
19 |
7
|
subgcl |
|
20 |
18 9 10 19
|
syl3anc |
|
21 |
2 3 4 5
|
dprdffsupp |
|
22 |
2 3 4 6
|
dprdffsupp |
|
23 |
21 22
|
fsuppunfi |
|
24 |
|
ssun1 |
|
25 |
24
|
a1i |
|
26 |
1
|
fvexi |
|
27 |
26
|
a1i |
|
28 |
12 25 8 27
|
suppssr |
|
29 |
|
ssun2 |
|
30 |
29
|
a1i |
|
31 |
14 30 8 27
|
suppssr |
|
32 |
28 31
|
oveq12d |
|
33 |
|
dprdgrp |
|
34 |
3 33
|
syl |
|
35 |
11 1
|
grpidcl |
|
36 |
11 7 1
|
grplid |
|
37 |
34 35 36
|
syl2anc2 |
|
38 |
37
|
adantr |
|
39 |
32 38
|
eqtrd |
|
40 |
39 8
|
suppss2 |
|
41 |
23 40
|
ssfid |
|
42 |
|
funmpt |
|
43 |
42
|
a1i |
|
44 |
8
|
mptexd |
|
45 |
|
funisfsupp |
|
46 |
43 44 27 45
|
syl3anc |
|
47 |
41 46
|
mpbird |
|
48 |
2 3 4 20 47
|
dprdwd |
|
49 |
16 48
|
eqeltrd |
|
50 |
|
eqid |
|
51 |
|
grpmnd |
|
52 |
34 51
|
syl |
|
53 |
|
eqid |
|
54 |
2 3 4 5 50
|
dprdfcntz |
|
55 |
2 3 4 6 50
|
dprdfcntz |
|
56 |
2 3 4 49 50
|
dprdfcntz |
|
57 |
52
|
adantr |
|
58 |
|
vex |
|
59 |
58
|
a1i |
|
60 |
|
eldifi |
|
61 |
60
|
adantl |
|
62 |
|
ffvelrn |
|
63 |
12 61 62
|
syl2an |
|
64 |
63
|
snssd |
|
65 |
11 50
|
cntzsubm |
|
66 |
57 64 65
|
syl2anc |
|
67 |
14
|
adantr |
|
68 |
67
|
ffnd |
|
69 |
|
simprl |
|
70 |
|
fnssres |
|
71 |
68 69 70
|
syl2anc |
|
72 |
|
fvres |
|
73 |
72
|
adantl |
|
74 |
3
|
ad2antrr |
|
75 |
4
|
ad2antrr |
|
76 |
74 75
|
dprdf2 |
|
77 |
61
|
ad2antlr |
|
78 |
76 77
|
ffvelrnd |
|
79 |
11
|
subgss |
|
80 |
78 79
|
syl |
|
81 |
5
|
ad2antrr |
|
82 |
2 74 75 81
|
dprdfcl |
|
83 |
77 82
|
mpdan |
|
84 |
83
|
snssd |
|
85 |
11 50
|
cntz2ss |
|
86 |
80 84 85
|
syl2anc |
|
87 |
69
|
sselda |
|
88 |
|
simpr |
|
89 |
|
simplrr |
|
90 |
89
|
eldifbd |
|
91 |
|
nelne2 |
|
92 |
88 90 91
|
syl2anc |
|
93 |
74 75 87 77 92 50
|
dprdcntz |
|
94 |
6
|
ad2antrr |
|
95 |
2 74 75 94
|
dprdfcl |
|
96 |
87 95
|
mpdan |
|
97 |
93 96
|
sseldd |
|
98 |
86 97
|
sseldd |
|
99 |
73 98
|
eqeltrd |
|
100 |
99
|
ralrimiva |
|
101 |
|
ffnfv |
|
102 |
71 100 101
|
sylanbrc |
|
103 |
|
resss |
|
104 |
103
|
rnssi |
|
105 |
50
|
cntzidss |
|
106 |
55 104 105
|
sylancl |
|
107 |
106
|
adantr |
|
108 |
22 27
|
fsuppres |
|
109 |
108
|
adantr |
|
110 |
1 50 57 59 66 102 107 109
|
gsumzsubmcl |
|
111 |
110
|
snssd |
|
112 |
67 69
|
fssresd |
|
113 |
11 1 50 57 59 112 107 109
|
gsumzcl |
|
114 |
113
|
snssd |
|
115 |
11 50
|
cntzrec |
|
116 |
114 64 115
|
syl2anc |
|
117 |
111 116
|
mpbid |
|
118 |
|
fvex |
|
119 |
118
|
snss |
|
120 |
117 119
|
sylibr |
|
121 |
11 1 7 50 52 8 21 22 53 12 14 54 55 56 120
|
gsumzaddlem |
|
122 |
49 121
|
jca |
|