Step |
Hyp |
Ref |
Expression |
1 |
|
oveq2 |
|
2 |
1
|
eqeq1d |
|
3 |
|
oveq2 |
|
4 |
3
|
eqeq1d |
|
5 |
|
oveq2 |
|
6 |
5
|
eqeq1d |
|
7 |
|
oveq2 |
|
8 |
7
|
eqeq1d |
|
9 |
|
0elon |
|
10 |
|
om0 |
|
11 |
9 10
|
ax-mp |
|
12 |
|
oveq1 |
|
13 |
|
oa0 |
|
14 |
9 13
|
ax-mp |
|
15 |
12 14
|
eqtrdi |
|
16 |
|
peano1 |
|
17 |
|
nnmsuc |
|
18 |
16 17
|
mpan |
|
19 |
18
|
eqeq1d |
|
20 |
15 19
|
syl5ibr |
|
21 |
2 4 6 8 11 20
|
finds |
|