Step |
Hyp |
Ref |
Expression |
1 |
|
dalawlem.l |
|
2 |
|
dalawlem.j |
|
3 |
|
dalawlem.m |
|
4 |
|
dalawlem.a |
|
5 |
|
dalawlem2.o |
|
6 |
|
simp11 |
|
7 |
|
simp12 |
|
8 |
|
simp22 |
|
9 |
|
simp23 |
|
10 |
|
simp21 |
|
11 |
1 2 4 5
|
islpln2a |
|
12 |
6 8 9 10 11
|
syl13anc |
|
13 |
|
df-ne |
|
14 |
13
|
anbi1i |
|
15 |
|
pm4.56 |
|
16 |
14 15
|
bitri |
|
17 |
12 16
|
bitr2di |
|
18 |
2 4
|
hlatjrot |
|
19 |
6 8 9 10 18
|
syl13anc |
|
20 |
19
|
eleq1d |
|
21 |
17 20
|
bitrd |
|
22 |
21
|
con1bid |
|
23 |
7 22
|
mpbid |
|
24 |
|
simp13 |
|
25 |
|
simp2 |
|
26 |
|
simp3 |
|
27 |
1 2 3 4
|
dalawlem12 |
|
28 |
27
|
3expib |
|
29 |
28
|
3exp |
|
30 |
1 2 3 4
|
dalawlem11 |
|
31 |
30
|
3expib |
|
32 |
31
|
3exp |
|
33 |
29 32
|
jaod |
|
34 |
33
|
3imp |
|
35 |
34
|
3impib |
|
36 |
6 23 24 25 26 35
|
syl311anc |
|