Step |
Hyp |
Ref |
Expression |
1 |
|
subsval |
|
2 |
1
|
3adant3 |
|
3 |
2
|
eqeq1d |
|
4 |
|
simpl |
|
5 |
|
simpr |
|
6 |
|
negscl |
|
7 |
6
|
adantr |
|
8 |
4 5 7
|
adds32d |
|
9 |
|
negsid |
|
10 |
9
|
adantr |
|
11 |
10
|
oveq1d |
|
12 |
|
addslid |
|
13 |
12
|
adantl |
|
14 |
8 11 13
|
3eqtrd |
|
15 |
14
|
3adant1 |
|
16 |
15
|
eqeq1d |
|
17 |
|
eqcom |
|
18 |
16 17
|
bitrdi |
|
19 |
|
addscl |
|
20 |
19
|
3adant1 |
|
21 |
|
simp1 |
|
22 |
|
simp2 |
|
23 |
22
|
negscld |
|
24 |
20 21 23
|
addscan2d |
|
25 |
3 18 24
|
3bitr2d |
|