Step |
Hyp |
Ref |
Expression |
1 |
|
simp2 |
|
2 |
|
simp3 |
|
3 |
|
simp1 |
|
4 |
3
|
elfvexd |
|
5 |
|
elmzpcl |
|
6 |
4 5
|
syl |
|
7 |
3 6
|
mpbid |
|
8 |
7
|
simprrd |
|
9 |
|
oveq1 |
|
10 |
9
|
eleq1d |
|
11 |
|
oveq1 |
|
12 |
11
|
eleq1d |
|
13 |
10 12
|
anbi12d |
|
14 |
|
oveq2 |
|
15 |
14
|
eleq1d |
|
16 |
|
oveq2 |
|
17 |
16
|
eleq1d |
|
18 |
15 17
|
anbi12d |
|
19 |
13 18
|
rspc2va |
|
20 |
1 2 8 19
|
syl21anc |
|