Step |
Hyp |
Ref |
Expression |
1 |
|
brecop.1 |
|
2 |
|
brecop.2 |
|
3 |
|
brecop.4 |
|
4 |
|
brecop.5 |
|
5 |
|
brecop.6 |
|
6 |
1 3
|
ecopqsi |
|
7 |
1 3
|
ecopqsi |
|
8 |
|
df-br |
|
9 |
4
|
eleq2i |
|
10 |
8 9
|
bitri |
|
11 |
|
eqeq1 |
|
12 |
11
|
anbi1d |
|
13 |
12
|
anbi1d |
|
14 |
13
|
4exbidv |
|
15 |
|
eqeq1 |
|
16 |
15
|
anbi2d |
|
17 |
16
|
anbi1d |
|
18 |
17
|
4exbidv |
|
19 |
14 18
|
opelopab2 |
|
20 |
10 19
|
syl5bb |
|
21 |
6 7 20
|
syl2an |
|
22 |
|
opeq12 |
|
23 |
22
|
eceq1d |
|
24 |
|
opeq12 |
|
25 |
24
|
eceq1d |
|
26 |
23 25
|
anim12i |
|
27 |
|
opelxpi |
|
28 |
|
opelxp |
|
29 |
2
|
a1i |
|
30 |
|
id |
|
31 |
29 30
|
ereldm |
|
32 |
28 31
|
bitr3id |
|
33 |
27 32
|
syl5ibr |
|
34 |
|
opelxpi |
|
35 |
|
opelxp |
|
36 |
2
|
a1i |
|
37 |
|
id |
|
38 |
36 37
|
ereldm |
|
39 |
35 38
|
bitr3id |
|
40 |
34 39
|
syl5ibr |
|
41 |
33 40
|
im2anan9 |
|
42 |
5
|
an4s |
|
43 |
42
|
ex |
|
44 |
43
|
com13 |
|
45 |
41 44
|
mpdd |
|
46 |
45
|
pm5.74d |
|
47 |
26 46
|
cgsex4g |
|
48 |
|
eqcom |
|
49 |
|
eqcom |
|
50 |
48 49
|
anbi12i |
|
51 |
50
|
a1i |
|
52 |
|
biimt |
|
53 |
51 52
|
anbi12d |
|
54 |
53
|
4exbidv |
|
55 |
|
biimt |
|
56 |
47 54 55
|
3bitr4d |
|
57 |
21 56
|
bitrd |
|