Step |
Hyp |
Ref |
Expression |
1 |
|
sn-addcand.a |
|
2 |
|
sn-addcand.b |
|
3 |
|
sn-addcand.c |
|
4 |
|
sn-negex2 |
|
5 |
1 4
|
syl |
|
6 |
|
oveq2 |
|
7 |
|
simprr |
|
8 |
7
|
oveq1d |
|
9 |
|
simprl |
|
10 |
1
|
adantr |
|
11 |
2
|
adantr |
|
12 |
9 10 11
|
addassd |
|
13 |
|
sn-addid2 |
|
14 |
11 13
|
syl |
|
15 |
8 12 14
|
3eqtr3d |
|
16 |
7
|
oveq1d |
|
17 |
3
|
adantr |
|
18 |
9 10 17
|
addassd |
|
19 |
|
sn-addid2 |
|
20 |
17 19
|
syl |
|
21 |
16 18 20
|
3eqtr3d |
|
22 |
15 21
|
eqeq12d |
|
23 |
6 22
|
syl5ib |
|
24 |
|
oveq2 |
|
25 |
23 24
|
impbid1 |
|
26 |
5 25
|
rexlimddv |
|