Step |
Hyp |
Ref |
Expression |
1 |
|
istrkg.p |
|
2 |
|
istrkg.d |
|
3 |
|
istrkg.i |
|
4 |
|
eqidd |
|
5 |
|
eqidd |
|
6 |
|
simp1 |
|
7 |
6
|
eqcomd |
|
8 |
4 5 7
|
f1eq123d |
|
9 |
|
simp2 |
|
10 |
9
|
eqcomd |
|
11 |
10
|
oveqd |
|
12 |
10
|
oveqd |
|
13 |
11 12
|
eqeq12d |
|
14 |
10
|
oveqd |
|
15 |
10
|
oveqd |
|
16 |
14 15
|
eqeq12d |
|
17 |
10
|
oveqd |
|
18 |
10
|
oveqd |
|
19 |
17 18
|
eqeq12d |
|
20 |
13 16 19
|
3anbi123d |
|
21 |
20
|
ralbidv |
|
22 |
|
simp3 |
|
23 |
22
|
eqcomd |
|
24 |
23
|
oveqd |
|
25 |
24
|
eleq2d |
|
26 |
23
|
oveqd |
|
27 |
26
|
eleq2d |
|
28 |
23
|
oveqd |
|
29 |
28
|
eleq2d |
|
30 |
25 27 29
|
3orbi123d |
|
31 |
30
|
notbid |
|
32 |
21 31
|
anbi12d |
|
33 |
7 32
|
rexeqbidv |
|
34 |
7 33
|
rexeqbidv |
|
35 |
7 34
|
rexeqbidv |
|
36 |
8 35
|
anbi12d |
|
37 |
36
|
exbidv |
|
38 |
1 2 3 37
|
sbcie3s |
|
39 |
|
eqidd |
|
40 |
|
oveq2 |
|
41 |
|
eqidd |
|
42 |
39 40 41
|
f1eq123d |
|
43 |
|
oveq2 |
|
44 |
43
|
raleqdv |
|
45 |
44
|
anbi1d |
|
46 |
45
|
rexbidv |
|
47 |
46
|
2rexbidv |
|
48 |
42 47
|
anbi12d |
|
49 |
48
|
exbidv |
|
50 |
|
df-trkgld |
|
51 |
38 49 50
|
brabg |
|