Step |
Hyp |
Ref |
Expression |
1 |
|
xpord3.1 |
|
2 |
|
otex |
|
3 |
|
otex |
|
4 |
|
eleq1 |
|
5 |
|
2fveq3 |
|
6 |
|
vex |
|
7 |
|
vex |
|
8 |
|
vex |
|
9 |
|
ot1stg |
|
10 |
6 7 8 9
|
mp3an |
|
11 |
5 10
|
eqtrdi |
|
12 |
11
|
breq1d |
|
13 |
11
|
eqeq1d |
|
14 |
12 13
|
orbi12d |
|
15 |
|
2fveq3 |
|
16 |
|
ot2ndg |
|
17 |
6 7 8 16
|
mp3an |
|
18 |
15 17
|
eqtrdi |
|
19 |
18
|
breq1d |
|
20 |
18
|
eqeq1d |
|
21 |
19 20
|
orbi12d |
|
22 |
|
fveq2 |
|
23 |
|
ot3rdg |
|
24 |
23
|
elv |
|
25 |
22 24
|
eqtrdi |
|
26 |
25
|
breq1d |
|
27 |
25
|
eqeq1d |
|
28 |
26 27
|
orbi12d |
|
29 |
14 21 28
|
3anbi123d |
|
30 |
|
neeq1 |
|
31 |
29 30
|
anbi12d |
|
32 |
4 31
|
3anbi13d |
|
33 |
|
eleq1 |
|
34 |
|
2fveq3 |
|
35 |
|
vex |
|
36 |
|
vex |
|
37 |
|
vex |
|
38 |
|
ot1stg |
|
39 |
35 36 37 38
|
mp3an |
|
40 |
34 39
|
eqtrdi |
|
41 |
40
|
breq2d |
|
42 |
40
|
eqeq2d |
|
43 |
41 42
|
orbi12d |
|
44 |
|
2fveq3 |
|
45 |
|
ot2ndg |
|
46 |
35 36 37 45
|
mp3an |
|
47 |
44 46
|
eqtrdi |
|
48 |
47
|
breq2d |
|
49 |
47
|
eqeq2d |
|
50 |
48 49
|
orbi12d |
|
51 |
|
fveq2 |
|
52 |
|
ot3rdg |
|
53 |
52
|
elv |
|
54 |
51 53
|
eqtrdi |
|
55 |
54
|
breq2d |
|
56 |
54
|
eqeq2d |
|
57 |
55 56
|
orbi12d |
|
58 |
43 50 57
|
3anbi123d |
|
59 |
|
neeq2 |
|
60 |
58 59
|
anbi12d |
|
61 |
33 60
|
3anbi23d |
|
62 |
2 3 32 61 1
|
brab |
|
63 |
|
otelxp |
|
64 |
|
otelxp |
|
65 |
6 7 8
|
otthne |
|
66 |
65
|
anbi2i |
|
67 |
63 64 66
|
3anbi123i |
|
68 |
62 67
|
bitri |
|