Step |
Hyp |
Ref |
Expression |
1 |
|
0r |
|
2 |
|
mulcnsr |
|
3 |
2
|
an4s |
|
4 |
1 1 3
|
mpanr12 |
|
5 |
|
00sr |
|
6 |
1 5
|
ax-mp |
|
7 |
6
|
oveq2i |
|
8 |
|
m1r |
|
9 |
|
00sr |
|
10 |
8 9
|
ax-mp |
|
11 |
7 10
|
eqtri |
|
12 |
11
|
oveq2i |
|
13 |
|
mulclsr |
|
14 |
|
0idsr |
|
15 |
13 14
|
syl |
|
16 |
12 15
|
syl5eq |
|
17 |
|
mulcomsr |
|
18 |
|
00sr |
|
19 |
17 18
|
syl5eq |
|
20 |
|
00sr |
|
21 |
19 20
|
oveqan12rd |
|
22 |
|
0idsr |
|
23 |
1 22
|
ax-mp |
|
24 |
21 23
|
eqtrdi |
|
25 |
16 24
|
opeq12d |
|
26 |
4 25
|
eqtrd |
|