Step |
Hyp |
Ref |
Expression |
1 |
|
isphg.1 |
|
2 |
|
df-ph |
|
3 |
2
|
elin2 |
|
4 |
|
rneq |
|
5 |
4 1
|
eqtr4di |
|
6 |
|
oveq |
|
7 |
6
|
fveq2d |
|
8 |
7
|
oveq1d |
|
9 |
|
oveq |
|
10 |
9
|
fveq2d |
|
11 |
10
|
oveq1d |
|
12 |
8 11
|
oveq12d |
|
13 |
12
|
eqeq1d |
|
14 |
5 13
|
raleqbidv |
|
15 |
5 14
|
raleqbidv |
|
16 |
|
oveq |
|
17 |
16
|
oveq2d |
|
18 |
17
|
fveq2d |
|
19 |
18
|
oveq1d |
|
20 |
19
|
oveq2d |
|
21 |
20
|
eqeq1d |
|
22 |
21
|
2ralbidv |
|
23 |
|
fveq1 |
|
24 |
23
|
oveq1d |
|
25 |
|
fveq1 |
|
26 |
25
|
oveq1d |
|
27 |
24 26
|
oveq12d |
|
28 |
|
fveq1 |
|
29 |
28
|
oveq1d |
|
30 |
|
fveq1 |
|
31 |
30
|
oveq1d |
|
32 |
29 31
|
oveq12d |
|
33 |
32
|
oveq2d |
|
34 |
27 33
|
eqeq12d |
|
35 |
34
|
2ralbidv |
|
36 |
15 22 35
|
eloprabg |
|
37 |
36
|
anbi2d |
|
38 |
3 37
|
syl5bb |
|