Step |
Hyp |
Ref |
Expression |
1 |
|
3at.l |
|
2 |
|
3at.j |
|
3 |
|
3at.a |
|
4 |
|
simp11 |
|
5 |
|
simp12 |
|
6 |
|
simp13l |
|
7 |
|
simp13r |
|
8 |
|
simp123 |
|
9 |
6 7 8
|
3jca |
|
10 |
|
simp2l |
|
11 |
4
|
hllatd |
|
12 |
|
eqid |
|
13 |
12 3
|
atbase |
|
14 |
8 13
|
syl |
|
15 |
|
simp121 |
|
16 |
12 3
|
atbase |
|
17 |
15 16
|
syl |
|
18 |
|
simp122 |
|
19 |
12 3
|
atbase |
|
20 |
18 19
|
syl |
|
21 |
12 1 2
|
latnlej1l |
|
22 |
11 14 17 20 10 21
|
syl131anc |
|
23 |
22
|
necomd |
|
24 |
|
simp2r |
|
25 |
24
|
necomd |
|
26 |
1 2 3
|
hlatexch1 |
|
27 |
4 18 8 15 25 26
|
syl131anc |
|
28 |
10 27
|
mtod |
|
29 |
|
simp3 |
|
30 |
1 2 3
|
3atlem3 |
|
31 |
4 5 9 10 23 28 29 30
|
syl331anc |
|