Step |
Hyp |
Ref |
Expression |
1 |
|
lautlt.b |
|
2 |
|
lautlt.s |
|
3 |
|
lautlt.i |
|
4 |
|
simpl |
|
5 |
|
simpr1 |
|
6 |
|
simpr2 |
|
7 |
|
simpr3 |
|
8 |
|
eqid |
|
9 |
1 8 3
|
lautle |
|
10 |
4 5 6 7 9
|
syl22anc |
|
11 |
1 3
|
laut11 |
|
12 |
4 5 6 7 11
|
syl22anc |
|
13 |
12
|
bicomd |
|
14 |
13
|
necon3bid |
|
15 |
10 14
|
anbi12d |
|
16 |
8 2
|
pltval |
|
17 |
16
|
3adant3r1 |
|
18 |
1 3
|
lautcl |
|
19 |
4 5 6 18
|
syl21anc |
|
20 |
1 3
|
lautcl |
|
21 |
4 5 7 20
|
syl21anc |
|
22 |
8 2
|
pltval |
|
23 |
4 19 21 22
|
syl3anc |
|
24 |
15 17 23
|
3bitr4d |
|