Step |
Hyp |
Ref |
Expression |
1 |
|
eldprdi.0 |
|
2 |
|
eldprdi.w |
|
3 |
|
eldprdi.1 |
|
4 |
|
eldprdi.2 |
|
5 |
|
dprdfid.3 |
|
6 |
|
dprdfid.4 |
|
7 |
|
dprdfid.f |
|
8 |
6
|
ad2antrr |
|
9 |
|
simpr |
|
10 |
9
|
fveq2d |
|
11 |
8 10
|
eleqtrrd |
|
12 |
3 4
|
dprdf2 |
|
13 |
12
|
ffvelrnda |
|
14 |
1
|
subg0cl |
|
15 |
13 14
|
syl |
|
16 |
15
|
adantr |
|
17 |
11 16
|
ifclda |
|
18 |
3 4
|
dprddomcld |
|
19 |
1
|
fvexi |
|
20 |
19
|
a1i |
|
21 |
|
eqid |
|
22 |
18 20 21
|
sniffsupp |
|
23 |
2 3 4 17 22
|
dprdwd |
|
24 |
7 23
|
eqeltrid |
|
25 |
|
eqid |
|
26 |
|
dprdgrp |
|
27 |
|
grpmnd |
|
28 |
3 26 27
|
3syl |
|
29 |
2 3 4 24 25
|
dprdff |
|
30 |
7
|
oveq1i |
|
31 |
|
eldifsni |
|
32 |
31
|
adantl |
|
33 |
|
ifnefalse |
|
34 |
32 33
|
syl |
|
35 |
34 18
|
suppss2 |
|
36 |
30 35
|
eqsstrid |
|
37 |
25 1 28 18 5 29 36
|
gsumpt |
|
38 |
|
iftrue |
|
39 |
7 38 5 6
|
fvmptd3 |
|
40 |
37 39
|
eqtrd |
|
41 |
24 40
|
jca |
|