Step |
Hyp |
Ref |
Expression |
1 |
|
eldprdi.0 |
|
2 |
|
eldprdi.w |
|
3 |
|
eldprdi.1 |
|
4 |
|
eldprdi.2 |
|
5 |
|
eldprdi.3 |
|
6 |
|
dprdf11.4 |
|
7 |
|
eqid |
|
8 |
2 3 4 5 7
|
dprdff |
|
9 |
8
|
ffnd |
|
10 |
2 3 4 6 7
|
dprdff |
|
11 |
10
|
ffnd |
|
12 |
|
eqfnfv |
|
13 |
9 11 12
|
syl2anc |
|
14 |
|
eqid |
|
15 |
1 2 3 4 5 6 14
|
dprdfsub |
|
16 |
15
|
simpld |
|
17 |
1 2 3 4 16
|
dprdfeq0 |
|
18 |
15
|
simprd |
|
19 |
18
|
eqeq1d |
|
20 |
3 4
|
dprddomcld |
|
21 |
|
fvexd |
|
22 |
|
fvexd |
|
23 |
8
|
feqmptd |
|
24 |
10
|
feqmptd |
|
25 |
20 21 22 23 24
|
offval2 |
|
26 |
25
|
eqeq1d |
|
27 |
|
ovex |
|
28 |
27
|
rgenw |
|
29 |
|
mpteqb |
|
30 |
28 29
|
ax-mp |
|
31 |
|
dprdgrp |
|
32 |
3 31
|
syl |
|
33 |
32
|
adantr |
|
34 |
8
|
ffvelrnda |
|
35 |
10
|
ffvelrnda |
|
36 |
7 1 14
|
grpsubeq0 |
|
37 |
33 34 35 36
|
syl3anc |
|
38 |
37
|
ralbidva |
|
39 |
30 38
|
syl5bb |
|
40 |
26 39
|
bitrd |
|
41 |
17 19 40
|
3bitr3d |
|
42 |
7
|
dprdssv |
|
43 |
1 2 3 4 5
|
eldprdi |
|
44 |
42 43
|
sselid |
|
45 |
1 2 3 4 6
|
eldprdi |
|
46 |
42 45
|
sselid |
|
47 |
7 1 14
|
grpsubeq0 |
|
48 |
32 44 46 47
|
syl3anc |
|
49 |
13 41 48
|
3bitr2rd |
|