Step |
Hyp |
Ref |
Expression |
1 |
|
sn-negex |
|
2 |
1
|
adantr |
|
3 |
|
simprl |
|
4 |
|
simplr |
|
5 |
3 4
|
addcld |
|
6 |
|
simplrr |
|
7 |
6
|
oveq1d |
|
8 |
|
simplll |
|
9 |
|
simplrl |
|
10 |
|
simpllr |
|
11 |
8 9 10
|
addassd |
|
12 |
|
sn-addid2 |
|
13 |
10 12
|
syl |
|
14 |
7 11 13
|
3eqtr3rd |
|
15 |
14
|
eqeq2d |
|
16 |
|
simpr |
|
17 |
9 10
|
addcld |
|
18 |
8 16 17
|
sn-addcand |
|
19 |
15 18
|
bitrd |
|
20 |
19
|
ralrimiva |
|
21 |
|
reu6i |
|
22 |
5 20 21
|
syl2anc |
|
23 |
2 22
|
rexlimddv |
|