Step |
Hyp |
Ref |
Expression |
1 |
|
opsqrlem2.1 |
|
2 |
|
opsqrlem2.2 |
|
3 |
|
opsqrlem2.3 |
|
4 |
|
elnnuz |
|
5 |
|
seqp1 |
|
6 |
4 5
|
sylbi |
|
7 |
3
|
fveq1i |
|
8 |
3
|
fveq1i |
|
9 |
8
|
oveq1i |
|
10 |
6 7 9
|
3eqtr4g |
|
11 |
1 2 3
|
opsqrlem4 |
|
12 |
11
|
ffvelrni |
|
13 |
|
peano2nn |
|
14 |
|
0hmop |
|
15 |
14
|
elexi |
|
16 |
15
|
fvconst2 |
|
17 |
13 16
|
syl |
|
18 |
17 14
|
eqeltrdi |
|
19 |
1 2 3
|
opsqrlem3 |
|
20 |
12 18 19
|
syl2anc |
|
21 |
10 20
|
eqtrd |
|