Step |
Hyp |
Ref |
Expression |
1 |
|
brimg.1 |
|
2 |
|
brimg.2 |
|
3 |
|
brimg.3 |
|
4 |
|
df-img |
|
5 |
4
|
breqi |
|
6 |
|
opex |
|
7 |
6 3
|
brco |
|
8 |
|
vex |
|
9 |
1 2 8
|
brcart |
|
10 |
9
|
anbi1i |
|
11 |
10
|
exbii |
|
12 |
1 2
|
xpex |
|
13 |
|
breq1 |
|
14 |
12 13
|
ceqsexv |
|
15 |
7 11 14
|
3bitri |
|
16 |
12 3
|
brimage |
|
17 |
|
19.42v |
|
18 |
|
anass |
|
19 |
|
an21 |
|
20 |
19
|
anbi2i |
|
21 |
18 20
|
bitri |
|
22 |
21
|
2exbii |
|
23 |
|
excom |
|
24 |
|
opex |
|
25 |
|
breq1 |
|
26 |
25
|
anbi2d |
|
27 |
26
|
anbi2d |
|
28 |
24 27
|
ceqsexv |
|
29 |
28
|
exbii |
|
30 |
22 23 29
|
3bitri |
|
31 |
|
df-br |
|
32 |
|
risset |
|
33 |
|
vex |
|
34 |
33
|
brresi |
|
35 |
|
df-br |
|
36 |
34 35
|
bitr3i |
|
37 |
36
|
anbi1i |
|
38 |
|
elvv |
|
39 |
38
|
anbi1i |
|
40 |
|
anass |
|
41 |
|
ancom |
|
42 |
|
breq1 |
|
43 |
|
opeq1 |
|
44 |
43
|
breq1d |
|
45 |
42 44
|
anbi12d |
|
46 |
|
vex |
|
47 |
|
vex |
|
48 |
46 47
|
br1steq |
|
49 |
|
equcom |
|
50 |
48 49
|
bitri |
|
51 |
|
opex |
|
52 |
|
vex |
|
53 |
51 52
|
brco |
|
54 |
|
opex |
|
55 |
54 33
|
br1steq |
|
56 |
55
|
anbi1i |
|
57 |
56
|
exbii |
|
58 |
53 57
|
bitri |
|
59 |
|
breq1 |
|
60 |
54 59
|
ceqsexv |
|
61 |
46 47
|
br2ndeq |
|
62 |
60 61
|
bitri |
|
63 |
|
equcom |
|
64 |
58 62 63
|
3bitri |
|
65 |
50 64
|
anbi12i |
|
66 |
45 65
|
syl6bb |
|
67 |
66
|
pm5.32i |
|
68 |
|
df-3an |
|
69 |
41 67 68
|
3bitr4i |
|
70 |
69
|
2exbii |
|
71 |
|
19.41vv |
|
72 |
|
opeq1 |
|
73 |
72
|
eqeq2d |
|
74 |
|
opeq2 |
|
75 |
74
|
eqeq2d |
|
76 |
33 52 73 75
|
ceqsex2v |
|
77 |
70 71 76
|
3bitr3ri |
|
78 |
39 40 77
|
3bitr4ri |
|
79 |
52
|
brresi |
|
80 |
37 78 79
|
3bitr4i |
|
81 |
80
|
rexbii |
|
82 |
32 81
|
bitri |
|
83 |
|
df-rex |
|
84 |
31 82 83
|
3bitri |
|
85 |
84
|
anbi2i |
|
86 |
17 30 85
|
3bitr4ri |
|
87 |
86
|
exbii |
|
88 |
52
|
elima2 |
|
89 |
52
|
elima2 |
|
90 |
|
elxp |
|
91 |
90
|
anbi1i |
|
92 |
|
19.41vv |
|
93 |
91 92
|
bitr4i |
|
94 |
93
|
exbii |
|
95 |
|
exrot3 |
|
96 |
|
exrot3 |
|
97 |
95 96
|
bitri |
|
98 |
89 94 97
|
3bitri |
|
99 |
87 88 98
|
3bitr4ri |
|
100 |
99
|
eqriv |
|
101 |
100
|
eqeq2i |
|
102 |
16 101
|
bitri |
|
103 |
5 15 102
|
3bitri |
|