Step |
Hyp |
Ref |
Expression |
1 |
|
elfuns.1 |
|
2 |
|
elrel |
|
3 |
2
|
ex |
|
4 |
|
elrel |
|
5 |
4
|
ex |
|
6 |
3 5
|
anim12d |
|
7 |
6
|
adantrd |
|
8 |
7
|
pm4.71rd |
|
9 |
|
19.41vvvv |
|
10 |
|
ee4anv |
|
11 |
10
|
anbi1i |
|
12 |
9 11
|
bitr2i |
|
13 |
8 12
|
bitrdi |
|
14 |
13
|
2exbidv |
|
15 |
|
excom13 |
|
16 |
|
excom13 |
|
17 |
|
exrot4 |
|
18 |
|
excom |
|
19 |
|
df-3an |
|
20 |
19
|
2exbii |
|
21 |
|
opex |
|
22 |
|
opex |
|
23 |
|
eleq1 |
|
24 |
23
|
anbi1d |
|
25 |
|
breq2 |
|
26 |
24 25
|
anbi12d |
|
27 |
|
eleq1 |
|
28 |
27
|
anbi2d |
|
29 |
|
breq1 |
|
30 |
|
vex |
|
31 |
|
vex |
|
32 |
22 30 31
|
brtxp |
|
33 |
|
vex |
|
34 |
|
vex |
|
35 |
33 34
|
br1steq |
|
36 |
|
equcom |
|
37 |
35 36
|
bitri |
|
38 |
22 31
|
brco |
|
39 |
33 34
|
br2ndeq |
|
40 |
39
|
anbi1i |
|
41 |
40
|
exbii |
|
42 |
|
breq1 |
|
43 |
|
brv |
|
44 |
|
brdif |
|
45 |
43 44
|
mpbiran |
|
46 |
31
|
ideq |
|
47 |
|
equcom |
|
48 |
46 47
|
bitri |
|
49 |
48
|
notbii |
|
50 |
45 49
|
bitri |
|
51 |
42 50
|
bitrdi |
|
52 |
51
|
equsexvw |
|
53 |
38 41 52
|
3bitri |
|
54 |
37 53
|
anbi12i |
|
55 |
32 54
|
bitri |
|
56 |
29 55
|
bitrdi |
|
57 |
28 56
|
anbi12d |
|
58 |
|
an12 |
|
59 |
57 58
|
bitrdi |
|
60 |
21 22 26 59
|
ceqsex2v |
|
61 |
20 60
|
bitr3i |
|
62 |
61
|
exbii |
|
63 |
|
opeq1 |
|
64 |
63
|
eleq1d |
|
65 |
64
|
anbi2d |
|
66 |
65
|
anbi1d |
|
67 |
66
|
equsexvw |
|
68 |
62 67
|
bitri |
|
69 |
68
|
exbii |
|
70 |
|
exanali |
|
71 |
69 70
|
bitri |
|
72 |
17 18 71
|
3bitri |
|
73 |
72
|
exbii |
|
74 |
|
exnal |
|
75 |
16 73 74
|
3bitri |
|
76 |
75
|
exbii |
|
77 |
|
exnal |
|
78 |
15 76 77
|
3bitri |
|
79 |
14 78
|
bitrdi |
|
80 |
79
|
con2bid |
|
81 |
80
|
pm5.32i |
|
82 |
|
dffun4 |
|
83 |
|
df-funs |
|
84 |
83
|
eleq2i |
|
85 |
|
eldif |
|
86 |
1
|
elpw |
|
87 |
|
df-rel |
|
88 |
86 87
|
bitr4i |
|
89 |
1
|
elfix |
|
90 |
1 1
|
coep |
|
91 |
|
vex |
|
92 |
1 91
|
coepr |
|
93 |
92
|
rexbii |
|
94 |
90 93
|
bitri |
|
95 |
|
r2ex |
|
96 |
89 94 95
|
3bitri |
|
97 |
96
|
notbii |
|
98 |
88 97
|
anbi12i |
|
99 |
84 85 98
|
3bitri |
|
100 |
81 82 99
|
3bitr4ri |
|