Step |
Hyp |
Ref |
Expression |
1 |
|
bnj1321.1 |
|
2 |
|
bnj1321.2 |
|
3 |
|
bnj1321.3 |
|
4 |
|
bnj1321.4 |
|
5 |
|
simpr |
|
6 |
|
simp1 |
|
7 |
4
|
simplbi |
|
8 |
7
|
3ad2ant2 |
|
9 |
|
nfab1 |
|
10 |
3 9
|
nfcxfr |
|
11 |
10
|
nfcri |
|
12 |
|
nfv |
|
13 |
11 12
|
nfan |
|
14 |
|
eleq1w |
|
15 |
|
dmeq |
|
16 |
15
|
eqeq1d |
|
17 |
14 16
|
anbi12d |
|
18 |
4 17
|
syl5bb |
|
19 |
13 18
|
sbiev |
|
20 |
19
|
simplbi |
|
21 |
20
|
3ad2ant3 |
|
22 |
|
eqid |
|
23 |
1 2 3 22
|
bnj1326 |
|
24 |
6 8 21 23
|
syl3anc |
|
25 |
4
|
simprbi |
|
26 |
25
|
3ad2ant2 |
|
27 |
19
|
simprbi |
|
28 |
27
|
3ad2ant3 |
|
29 |
26 28
|
eqtr4d |
|
30 |
|
bnj1322 |
|
31 |
30
|
reseq2d |
|
32 |
29 31
|
syl |
|
33 |
|
releq |
|
34 |
1 2 3
|
bnj66 |
|
35 |
33 34
|
vtoclga |
|
36 |
|
resdm |
|
37 |
8 35 36
|
3syl |
|
38 |
32 37
|
eqtrd |
|
39 |
|
eqeq2 |
|
40 |
30 39
|
mpbid |
|
41 |
40
|
reseq2d |
|
42 |
29 41
|
syl |
|
43 |
1 2 3
|
bnj66 |
|
44 |
|
resdm |
|
45 |
21 43 44
|
3syl |
|
46 |
42 45
|
eqtrd |
|
47 |
24 38 46
|
3eqtr3d |
|
48 |
47
|
3expib |
|
49 |
48
|
alrimivv |
|
50 |
49
|
adantr |
|
51 |
|
nfv |
|
52 |
51
|
eu2 |
|
53 |
5 50 52
|
sylanbrc |
|