Step |
Hyp |
Ref |
Expression |
1 |
|
4thatlem.ph |
|
2 |
|
4thatlem0.l |
|
3 |
|
4thatlem0.j |
|
4 |
|
4thatlem0.m |
|
5 |
|
4thatlem0.a |
|
6 |
|
4thatlem0.h |
|
7 |
|
4thatlem0.u |
|
8 |
|
4thatlem0.v |
|
9 |
|
4thatlem0.c |
|
10 |
1
|
4atexlemkl |
|
11 |
1 3 5
|
4atexlemqtb |
|
12 |
1 3 5
|
4atexlempsb |
|
13 |
|
eqid |
|
14 |
13 4
|
latmcom |
|
15 |
10 11 12 14
|
syl3anc |
|
16 |
9 15
|
syl5eq |
|
17 |
1
|
4atexlemk |
|
18 |
1
|
4atexlemp |
|
19 |
1
|
4atexlems |
|
20 |
1
|
4atexlemq |
|
21 |
1
|
4atexlemt |
|
22 |
1 2 3 5
|
4atexlempns |
|
23 |
1 2 3 4 5 6 7 8
|
4atexlemntlpq |
|
24 |
2 3 5
|
atnlej2 |
|
25 |
24
|
necomd |
|
26 |
17 21 18 20 23 25
|
syl131anc |
|
27 |
1
|
4atexlempnq |
|
28 |
1
|
4atexlemnslpq |
|
29 |
2 3 5
|
4atlem0ae |
|
30 |
17 18 20 19 27 28 29
|
syl132anc |
|
31 |
13 5
|
atbase |
|
32 |
21 31
|
syl |
|
33 |
1 2 3 4 5 6 7
|
4atexlemu |
|
34 |
1 2 3 4 5 6 7 8
|
4atexlemv |
|
35 |
13 3 5
|
hlatjcl |
|
36 |
17 33 34 35
|
syl3anc |
|
37 |
13 5
|
atbase |
|
38 |
20 37
|
syl |
|
39 |
13 3
|
latjcl |
|
40 |
10 12 38 39
|
syl3anc |
|
41 |
1
|
4atexlemkc |
|
42 |
1 2 3 4 5 6 7 8
|
4atexlemunv |
|
43 |
1
|
4atexlemutvt |
|
44 |
5 2 3
|
cvlsupr4 |
|
45 |
41 33 34 21 42 43 44
|
syl132anc |
|
46 |
13 3 5
|
hlatjcl |
|
47 |
17 18 20 46
|
syl3anc |
|
48 |
1 6
|
4atexlemwb |
|
49 |
13 2 4
|
latmle1 |
|
50 |
10 47 48 49
|
syl3anc |
|
51 |
7 50
|
eqbrtrid |
|
52 |
13 2 4
|
latmle1 |
|
53 |
10 12 48 52
|
syl3anc |
|
54 |
8 53
|
eqbrtrid |
|
55 |
13 5
|
atbase |
|
56 |
33 55
|
syl |
|
57 |
13 5
|
atbase |
|
58 |
34 57
|
syl |
|
59 |
13 2 3
|
latjlej12 |
|
60 |
10 56 47 58 12 59
|
syl122anc |
|
61 |
51 54 60
|
mp2and |
|
62 |
3 5
|
hlatjass |
|
63 |
17 18 20 19 62
|
syl13anc |
|
64 |
13 5
|
atbase |
|
65 |
18 64
|
syl |
|
66 |
13 5
|
atbase |
|
67 |
19 66
|
syl |
|
68 |
13 3
|
latj32 |
|
69 |
10 65 38 67 68
|
syl13anc |
|
70 |
13 3
|
latjjdi |
|
71 |
10 65 38 67 70
|
syl13anc |
|
72 |
63 69 71
|
3eqtr3rd |
|
73 |
61 72
|
breqtrd |
|
74 |
13 2 10 32 36 40 45 73
|
lattrd |
|
75 |
2 3 4 5
|
2atmat |
|
76 |
17 18 19 20 21 22 26 30 74 75
|
syl333anc |
|
77 |
16 76
|
eqeltrd |
|