Step |
Hyp |
Ref |
Expression |
1 |
|
sn-addcan2d.a |
|
2 |
|
sn-addcan2d.b |
|
3 |
|
sn-addcan2d.c |
|
4 |
|
sn-negex |
|
5 |
3 4
|
syl |
|
6 |
|
oveq1 |
|
7 |
1
|
adantr |
|
8 |
3
|
adantr |
|
9 |
|
simprl |
|
10 |
7 8 9
|
addassd |
|
11 |
|
simprr |
|
12 |
11
|
oveq2d |
|
13 |
|
sn-addid1 |
|
14 |
7 13
|
syl |
|
15 |
10 12 14
|
3eqtrd |
|
16 |
2
|
adantr |
|
17 |
16 8 9
|
addassd |
|
18 |
11
|
oveq2d |
|
19 |
|
sn-addid1 |
|
20 |
16 19
|
syl |
|
21 |
17 18 20
|
3eqtrd |
|
22 |
15 21
|
eqeq12d |
|
23 |
6 22
|
syl5ib |
|
24 |
|
oveq1 |
|
25 |
23 24
|
impbid1 |
|
26 |
5 25
|
rexlimddv |
|