Step |
Hyp |
Ref |
Expression |
1 |
|
dpjfval.1 |
|
2 |
|
dpjfval.2 |
|
3 |
|
dpjfval.p |
|
4 |
|
dpjfval.q |
|
5 |
|
df-dpj |
|
6 |
5
|
a1i |
|
7 |
|
simprr |
|
8 |
7
|
dmeqd |
|
9 |
2
|
adantr |
|
10 |
8 9
|
eqtrd |
|
11 |
|
simprl |
|
12 |
11
|
fveq2d |
|
13 |
12 4
|
eqtr4di |
|
14 |
7
|
fveq1d |
|
15 |
10
|
difeq1d |
|
16 |
7 15
|
reseq12d |
|
17 |
11 16
|
oveq12d |
|
18 |
13 14 17
|
oveq123d |
|
19 |
10 18
|
mpteq12dv |
|
20 |
|
simpr |
|
21 |
20
|
sneqd |
|
22 |
21
|
imaeq2d |
|
23 |
|
dprdgrp |
|
24 |
1 23
|
syl |
|
25 |
|
reldmdprd |
|
26 |
|
elrelimasn |
|
27 |
25 26
|
ax-mp |
|
28 |
1 27
|
sylibr |
|
29 |
1 2
|
dprddomcld |
|
30 |
29
|
mptexd |
|
31 |
6 19 22 24 28 30
|
ovmpodx |
|
32 |
3 31
|
syl5eq |
|