Step |
Hyp |
Ref |
Expression |
1 |
|
oveq2 |
|
2 |
|
id |
|
3 |
1 2
|
eqeq12d |
|
4 |
|
oveq2 |
|
5 |
|
id |
|
6 |
4 5
|
eqeq12d |
|
7 |
|
oveq2 |
|
8 |
|
id |
|
9 |
7 8
|
eqeq12d |
|
10 |
|
oveq2 |
|
11 |
|
id |
|
12 |
10 11
|
eqeq12d |
|
13 |
|
1t1e1ALT |
|
14 |
|
1cnd |
|
15 |
|
simpl |
|
16 |
15
|
nncnd |
|
17 |
14 16 14
|
adddid |
|
18 |
|
simpr |
|
19 |
13
|
a1i |
|
20 |
18 19
|
oveq12d |
|
21 |
17 20
|
eqtrd |
|
22 |
21
|
ex |
|
23 |
3 6 9 12 13 22
|
nnind |
|
24 |
|
nnre |
|
25 |
|
ax-1rid |
|
26 |
24 25
|
syl |
|
27 |
23 26
|
eqtr4d |
|