Step |
Hyp |
Ref |
Expression |
1 |
|
breq1 |
|
2 |
|
opeq1 |
|
3 |
2
|
breq1d |
|
4 |
|
opeq1 |
|
5 |
4
|
breq1d |
|
6 |
5
|
anbi1d |
|
7 |
1 3 6
|
3anbi123d |
|
8 |
|
opeq1 |
|
9 |
8
|
breq2d |
|
10 |
8
|
opeq2d |
|
11 |
10
|
breq1d |
|
12 |
|
opeq1 |
|
13 |
12
|
breq1d |
|
14 |
13
|
anbi2d |
|
15 |
9 11 14
|
3anbi123d |
|
16 |
|
opeq2 |
|
17 |
16
|
breq2d |
|
18 |
16
|
opeq2d |
|
19 |
18
|
breq1d |
|
20 |
17 19
|
3anbi12d |
|
21 |
|
opeq2 |
|
22 |
21
|
breq1d |
|
23 |
|
opeq2 |
|
24 |
23
|
breq1d |
|
25 |
22 24
|
anbi12d |
|
26 |
25
|
3anbi3d |
|
27 |
|
opeq1 |
|
28 |
27
|
breq2d |
|
29 |
|
opeq1 |
|
30 |
29
|
breq2d |
|
31 |
30
|
anbi1d |
|
32 |
28 31
|
3anbi23d |
|
33 |
|
opeq1 |
|
34 |
33
|
opeq2d |
|
35 |
34
|
breq2d |
|
36 |
|
opeq1 |
|
37 |
36
|
breq2d |
|
38 |
37
|
anbi2d |
|
39 |
35 38
|
3anbi23d |
|
40 |
|
opeq2 |
|
41 |
40
|
opeq2d |
|
42 |
41
|
breq2d |
|
43 |
42
|
3anbi2d |
|
44 |
|
opeq2 |
|
45 |
44
|
breq2d |
|
46 |
|
opeq2 |
|
47 |
46
|
breq2d |
|
48 |
45 47
|
anbi12d |
|
49 |
48
|
3anbi3d |
|
50 |
|
fveq2 |
|
51 |
|
df-fs |
|
52 |
7 15 20 26 32 39 43 49 50 51
|
br8 |
|