Step |
Hyp |
Ref |
Expression |
1 |
|
brrestrict.1 |
|
2 |
|
brrestrict.2 |
|
3 |
|
brrestrict.3 |
|
4 |
|
opex |
|
5 |
4 3
|
brco |
|
6 |
4
|
brtxp2 |
|
7 |
|
3anrot |
|
8 |
1 2
|
br1steq |
|
9 |
|
vex |
|
10 |
4 9
|
brco |
|
11 |
4
|
brtxp2 |
|
12 |
|
3anrot |
|
13 |
1 2
|
br2ndeq |
|
14 |
4 9
|
brco |
|
15 |
1 2
|
br1steq |
|
16 |
15
|
anbi1i |
|
17 |
16
|
exbii |
|
18 |
|
breq1 |
|
19 |
1 18
|
ceqsexv |
|
20 |
17 19
|
bitri |
|
21 |
1 9
|
brrange |
|
22 |
14 20 21
|
3bitri |
|
23 |
|
biid |
|
24 |
13 22 23
|
3anbi123i |
|
25 |
12 24
|
bitri |
|
26 |
25
|
2exbii |
|
27 |
1
|
rnex |
|
28 |
|
opeq1 |
|
29 |
28
|
eqeq2d |
|
30 |
|
opeq2 |
|
31 |
30
|
eqeq2d |
|
32 |
2 27 29 31
|
ceqsex2v |
|
33 |
11 26 32
|
3bitri |
|
34 |
33
|
anbi1i |
|
35 |
34
|
exbii |
|
36 |
|
opex |
|
37 |
|
breq1 |
|
38 |
36 37
|
ceqsexv |
|
39 |
35 38
|
bitri |
|
40 |
2 27 9
|
brcart |
|
41 |
10 39 40
|
3bitri |
|
42 |
8 41 23
|
3anbi123i |
|
43 |
7 42
|
bitri |
|
44 |
43
|
2exbii |
|
45 |
2 27
|
xpex |
|
46 |
|
opeq1 |
|
47 |
46
|
eqeq2d |
|
48 |
|
opeq2 |
|
49 |
48
|
eqeq2d |
|
50 |
1 45 47 49
|
ceqsex2v |
|
51 |
6 44 50
|
3bitri |
|
52 |
51
|
anbi1i |
|
53 |
52
|
exbii |
|
54 |
5 53
|
bitri |
|
55 |
|
opex |
|
56 |
|
breq1 |
|
57 |
55 56
|
ceqsexv |
|
58 |
1 45 3
|
brcap |
|
59 |
54 57 58
|
3bitri |
|
60 |
|
df-restrict |
|
61 |
60
|
breqi |
|
62 |
|
dfres3 |
|
63 |
62
|
eqeq2i |
|
64 |
59 61 63
|
3bitr4i |
|