Step |
Hyp |
Ref |
Expression |
1 |
|
ltrnel.l |
|
2 |
|
ltrnel.a |
|
3 |
|
ltrnel.h |
|
4 |
|
ltrnel.t |
|
5 |
1 2 3 4
|
ltrncnvat |
|
6 |
5
|
3adant3r |
|
7 |
|
simp3r |
|
8 |
|
simp1 |
|
9 |
|
simp2 |
|
10 |
|
eqid |
|
11 |
10 2
|
atbase |
|
12 |
6 11
|
syl |
|
13 |
|
simp1r |
|
14 |
10 3
|
lhpbase |
|
15 |
13 14
|
syl |
|
16 |
10 1 3 4
|
ltrnle |
|
17 |
8 9 12 15 16
|
syl112anc |
|
18 |
10 3 4
|
ltrn1o |
|
19 |
18
|
3adant3 |
|
20 |
|
simp3l |
|
21 |
10 2
|
atbase |
|
22 |
20 21
|
syl |
|
23 |
|
f1ocnvfv2 |
|
24 |
19 22 23
|
syl2anc |
|
25 |
|
simp1l |
|
26 |
25
|
hllatd |
|
27 |
10 1
|
latref |
|
28 |
26 15 27
|
syl2anc |
|
29 |
10 1 3 4
|
ltrnval1 |
|
30 |
8 9 15 28 29
|
syl112anc |
|
31 |
24 30
|
breq12d |
|
32 |
17 31
|
bitrd |
|
33 |
7 32
|
mtbird |
|
34 |
6 33
|
jca |
|