Step |
Hyp |
Ref |
Expression |
1 |
|
ackval0 |
|
2 |
|
oveq1 |
|
3 |
|
0p1e1 |
|
4 |
2 3
|
eqtrdi |
|
5 |
|
0nn0 |
|
6 |
5
|
a1i |
|
7 |
|
1nn0 |
|
8 |
7
|
a1i |
|
9 |
1 4 6 8
|
fvmptd3 |
|
10 |
|
oveq1 |
|
11 |
|
1p1e2 |
|
12 |
10 11
|
eqtrdi |
|
13 |
|
2nn0 |
|
14 |
13
|
a1i |
|
15 |
1 12 8 14
|
fvmptd3 |
|
16 |
|
oveq1 |
|
17 |
|
2p1e3 |
|
18 |
16 17
|
eqtrdi |
|
19 |
|
3nn0 |
|
20 |
19
|
a1i |
|
21 |
1 18 14 20
|
fvmptd3 |
|
22 |
9 15 21
|
oteq123d |
|
23 |
1 22
|
ax-mp |
|