Step |
Hyp |
Ref |
Expression |
1 |
|
simprr |
|
2 |
|
onelon |
|
3 |
2
|
ad2ant2l |
|
4 |
|
simplr |
|
5 |
|
onelon |
|
6 |
5
|
ad2ant2r |
|
7 |
|
naddel2 |
|
8 |
3 4 6 7
|
syl3anc |
|
9 |
1 8
|
mpbid |
|
10 |
|
simprl |
|
11 |
|
simpll |
|
12 |
|
naddel1 |
|
13 |
6 11 4 12
|
syl3anc |
|
14 |
10 13
|
mpbid |
|
15 |
|
naddcl |
|
16 |
15
|
adantr |
|
17 |
|
ontr1 |
|
18 |
16 17
|
syl |
|
19 |
9 14 18
|
mp2and |
|
20 |
19
|
ex |
|