Step |
Hyp |
Ref |
Expression |
1 |
|
pl42lem.b |
|
2 |
|
pl42lem.l |
|
3 |
|
pl42lem.j |
|
4 |
|
pl42lem.m |
|
5 |
|
pl42lem.o |
|
6 |
|
pl42lem.f |
|
7 |
|
pl42lem.p |
|
8 |
|
simpl1 |
|
9 |
|
simpl2 |
|
10 |
|
eqid |
|
11 |
1 10 6
|
pmapssat |
|
12 |
8 9 11
|
syl2anc |
|
13 |
|
simpl3 |
|
14 |
1 10 6
|
pmapssat |
|
15 |
8 13 14
|
syl2anc |
|
16 |
10 7
|
paddssat |
|
17 |
8 12 15 16
|
syl3anc |
|
18 |
|
simpr2 |
|
19 |
1 10 6
|
pmapssat |
|
20 |
8 18 19
|
syl2anc |
|
21 |
|
inss1 |
|
22 |
10 7
|
paddss1 |
|
23 |
21 22
|
mpi |
|
24 |
8 17 20 23
|
syl3anc |
|
25 |
|
simpr3 |
|
26 |
1 10 6
|
pmapssat |
|
27 |
8 25 26
|
syl2anc |
|
28 |
10 7
|
sspadd2 |
|
29 |
8 27 17 28
|
syl3anc |
|
30 |
|
ss2in |
|
31 |
24 29 30
|
syl2anc |
|