Step |
Hyp |
Ref |
Expression |
1 |
|
9nn0 |
|
2 |
|
sumcubes |
|
3 |
1 2
|
ax-mp |
|
4 |
|
arisum |
|
5 |
1 4
|
ax-mp |
|
6 |
|
8nn0 |
|
7 |
|
1nn0 |
|
8 |
|
sq9 |
|
9 |
|
8p1e9 |
|
10 |
|
9cn |
|
11 |
|
ax-1cn |
|
12 |
|
9p1e10 |
|
13 |
10 11 12
|
addcomli |
|
14 |
6 7 1 8 9 13
|
decaddci2 |
|
15 |
|
2nn0 |
|
16 |
|
4nn0 |
|
17 |
|
5nn0 |
|
18 |
|
eqid |
|
19 |
|
0nn0 |
|
20 |
|
4t2e8 |
|
21 |
20
|
oveq1i |
|
22 |
21 9
|
eqtri |
|
23 |
|
5t2e10 |
|
24 |
15 16 17 18 19 7 22 23
|
decmul1c |
|
25 |
14 24
|
eqtr4i |
|
26 |
25
|
oveq1i |
|
27 |
16 17
|
deccl |
|
28 |
27
|
nn0cni |
|
29 |
|
2cn |
|
30 |
|
2ne0 |
|
31 |
28 29 30
|
divcan4i |
|
32 |
5 26 31
|
3eqtri |
|
33 |
32
|
oveq1i |
|
34 |
|
sq45 |
|
35 |
3 33 34
|
3eqtri |
|