Step |
Hyp |
Ref |
Expression |
1 |
|
paddasslem.l |
|
2 |
|
paddasslem.j |
|
3 |
|
paddasslem.a |
|
4 |
|
paddasslem.p |
|
5 |
|
simpr2r |
|
6 |
|
simpl1 |
|
7 |
6
|
hllatd |
|
8 |
|
simpl22 |
|
9 |
|
simpl23 |
|
10 |
|
simpl3 |
|
11 |
1 2 3 4
|
elpaddn0 |
|
12 |
7 8 9 10 11
|
syl31anc |
|
13 |
5 12
|
mpbid |
|
14 |
|
simp11 |
|
15 |
|
simp12 |
|
16 |
|
simp21 |
|
17 |
|
simp31 |
|
18 |
16 17
|
jca |
|
19 |
|
simp22l |
|
20 |
|
simp32l |
|
21 |
|
simp32r |
|
22 |
19 20 21
|
3jca |
|
23 |
|
simp23 |
|
24 |
|
simp33 |
|
25 |
23 24
|
jca |
|
26 |
1 2 3 4
|
paddasslem14 |
|
27 |
14 15 18 22 25 26
|
syl32anc |
|
28 |
27
|
3expia |
|
29 |
28
|
3expd |
|
30 |
29
|
imp |
|
31 |
30
|
rexlimdvv |
|
32 |
31
|
expimpd |
|
33 |
13 32
|
mpd |
|