Step |
Hyp |
Ref |
Expression |
1 |
|
lautj.b |
|
2 |
|
lautj.j |
|
3 |
|
lautj.i |
|
4 |
|
eqid |
|
5 |
|
simpl |
|
6 |
|
simpr1 |
|
7 |
5 6
|
jca |
|
8 |
1 2
|
latjcl |
|
9 |
8
|
3adant3r1 |
|
10 |
1 3
|
lautcl |
|
11 |
7 9 10
|
syl2anc |
|
12 |
|
simpr2 |
|
13 |
1 3
|
lautcl |
|
14 |
7 12 13
|
syl2anc |
|
15 |
|
simpr3 |
|
16 |
1 3
|
lautcl |
|
17 |
7 15 16
|
syl2anc |
|
18 |
1 2
|
latjcl |
|
19 |
5 14 17 18
|
syl3anc |
|
20 |
1 3
|
laut1o |
|
21 |
20
|
3ad2antr1 |
|
22 |
|
f1ocnvfv1 |
|
23 |
21 9 22
|
syl2anc |
|
24 |
1 4 2
|
latlej1 |
|
25 |
5 14 17 24
|
syl3anc |
|
26 |
|
f1ocnvfv2 |
|
27 |
21 19 26
|
syl2anc |
|
28 |
25 27
|
breqtrrd |
|
29 |
|
f1ocnvdm |
|
30 |
21 19 29
|
syl2anc |
|
31 |
1 4 3
|
lautle |
|
32 |
7 12 30 31
|
syl12anc |
|
33 |
28 32
|
mpbird |
|
34 |
1 4 2
|
latlej2 |
|
35 |
5 14 17 34
|
syl3anc |
|
36 |
35 27
|
breqtrrd |
|
37 |
1 4 3
|
lautle |
|
38 |
7 15 30 37
|
syl12anc |
|
39 |
36 38
|
mpbird |
|
40 |
1 4 2
|
latjle12 |
|
41 |
5 12 15 30 40
|
syl13anc |
|
42 |
33 39 41
|
mpbi2and |
|
43 |
23 42
|
eqbrtrd |
|
44 |
1 4 3
|
lautcnvle |
|
45 |
7 11 19 44
|
syl12anc |
|
46 |
43 45
|
mpbird |
|
47 |
1 4 2
|
latlej1 |
|
48 |
47
|
3adant3r1 |
|
49 |
1 4 3
|
lautle |
|
50 |
7 12 9 49
|
syl12anc |
|
51 |
48 50
|
mpbid |
|
52 |
1 4 2
|
latlej2 |
|
53 |
52
|
3adant3r1 |
|
54 |
1 4 3
|
lautle |
|
55 |
7 15 9 54
|
syl12anc |
|
56 |
53 55
|
mpbid |
|
57 |
1 4 2
|
latjle12 |
|
58 |
5 14 17 11 57
|
syl13anc |
|
59 |
51 56 58
|
mpbi2and |
|
60 |
1 4 5 11 19 46 59
|
latasymd |
|