Step |
Hyp |
Ref |
Expression |
1 |
|
neg1cn |
|
2 |
|
hvmulcl |
|
3 |
1 2
|
mpan |
|
4 |
|
hvaddsubass |
|
5 |
3 4
|
syl3an2 |
|
6 |
|
hvsubval |
|
7 |
6
|
3adant3 |
|
8 |
7
|
oveq1d |
|
9 |
|
simp1 |
|
10 |
|
hvaddcl |
|
11 |
10
|
3adant1 |
|
12 |
|
hvsubval |
|
13 |
9 11 12
|
syl2anc |
|
14 |
|
hvsubval |
|
15 |
3 14
|
sylan |
|
16 |
15
|
3adant1 |
|
17 |
|
ax-hvdistr1 |
|
18 |
1 17
|
mp3an1 |
|
19 |
18
|
3adant1 |
|
20 |
16 19
|
eqtr4d |
|
21 |
20
|
oveq2d |
|
22 |
13 21
|
eqtr4d |
|
23 |
5 8 22
|
3eqtr4d |
|