Step |
Hyp |
Ref |
Expression |
1 |
|
df-tpos |
|
2 |
|
relcnv |
|
3 |
|
df-rel |
|
4 |
2 3
|
mpbi |
|
5 |
|
unss1 |
|
6 |
|
resmpt |
|
7 |
4 5 6
|
mp2b |
|
8 |
|
resss |
|
9 |
7 8
|
eqsstrri |
|
10 |
|
coss2 |
|
11 |
9 10
|
ax-mp |
|
12 |
1 11
|
eqsstri |
|
13 |
|
relco |
|
14 |
|
vex |
|
15 |
|
vex |
|
16 |
14 15
|
opelco |
|
17 |
|
vex |
|
18 |
|
eleq1 |
|
19 |
|
sneq |
|
20 |
19
|
cnveqd |
|
21 |
20
|
unieqd |
|
22 |
21
|
eqeq2d |
|
23 |
18 22
|
anbi12d |
|
24 |
|
eqeq1 |
|
25 |
24
|
anbi2d |
|
26 |
|
df-mpt |
|
27 |
14 17 23 25 26
|
brab |
|
28 |
|
simplr |
|
29 |
17 15
|
breldm |
|
30 |
29
|
adantl |
|
31 |
28 30
|
eqeltrrd |
|
32 |
|
elvv |
|
33 |
|
opswap |
|
34 |
33
|
eleq1i |
|
35 |
15 17
|
opelcnv |
|
36 |
34 35
|
bitr4i |
|
37 |
|
sneq |
|
38 |
37
|
cnveqd |
|
39 |
38
|
unieqd |
|
40 |
39
|
eleq1d |
|
41 |
|
eleq1 |
|
42 |
40 41
|
bibi12d |
|
43 |
36 42
|
mpbiri |
|
44 |
43
|
exlimivv |
|
45 |
32 44
|
sylbi |
|
46 |
45
|
biimpcd |
|
47 |
|
elun1 |
|
48 |
46 47
|
syl6 |
|
49 |
31 48
|
syl |
|
50 |
|
elun2 |
|
51 |
50
|
a1i |
|
52 |
|
simpll |
|
53 |
|
elun |
|
54 |
52 53
|
sylib |
|
55 |
49 51 54
|
mpjaod |
|
56 |
|
simpr |
|
57 |
28 56
|
eqbrtrrd |
|
58 |
55 57
|
jca |
|
59 |
27 58
|
sylanb |
|
60 |
|
brtpos2 |
|
61 |
15 60
|
ax-mp |
|
62 |
59 61
|
sylibr |
|
63 |
|
df-br |
|
64 |
62 63
|
sylib |
|
65 |
64
|
exlimiv |
|
66 |
16 65
|
sylbi |
|
67 |
13 66
|
relssi |
|
68 |
12 67
|
eqssi |
|