Step |
Hyp |
Ref |
Expression |
1 |
|
dvxpaek.s |
|
2 |
|
dvxpaek.x |
|
3 |
|
dvxpaek.a |
|
4 |
|
dvxpaek.k |
|
5 |
|
cnelprrecn |
|
6 |
5
|
a1i |
|
7 |
1 2
|
dvdmsscn |
|
8 |
7
|
adantr |
|
9 |
|
simpr |
|
10 |
8 9
|
sseldd |
|
11 |
3
|
adantr |
|
12 |
10 11
|
addcld |
|
13 |
|
1red |
|
14 |
|
0red |
|
15 |
13 14
|
readdcld |
|
16 |
|
simpr |
|
17 |
4
|
nnnn0d |
|
18 |
17
|
adantr |
|
19 |
16 18
|
expcld |
|
20 |
18
|
nn0cnd |
|
21 |
|
nnm1nn0 |
|
22 |
4 21
|
syl |
|
23 |
22
|
adantr |
|
24 |
16 23
|
expcld |
|
25 |
20 24
|
mulcld |
|
26 |
1 2
|
dvmptidg |
|
27 |
1 2 3
|
dvmptconst |
|
28 |
1 10 13 26 11 14 27
|
dvmptadd |
|
29 |
|
dvexp |
|
30 |
4 29
|
syl |
|
31 |
|
oveq1 |
|
32 |
|
oveq1 |
|
33 |
32
|
oveq2d |
|
34 |
1 6 12 15 19 25 28 30 31 33
|
dvmptco |
|
35 |
|
1p0e1 |
|
36 |
35
|
oveq2i |
|
37 |
36
|
a1i |
|
38 |
4
|
nncnd |
|
39 |
38
|
adantr |
|
40 |
22
|
adantr |
|
41 |
12 40
|
expcld |
|
42 |
39 41
|
mulcld |
|
43 |
42
|
mulid1d |
|
44 |
37 43
|
eqtrd |
|
45 |
44
|
mpteq2dva |
|
46 |
34 45
|
eqtrd |
|