| Step |
Hyp |
Ref |
Expression |
| 1 |
|
dvun.j |
|
| 2 |
|
dvun.k |
|
| 3 |
|
dvun.s |
|
| 4 |
|
dvun.f |
|
| 5 |
|
dvun.g |
|
| 6 |
|
dvun.a |
|
| 7 |
|
dvun.b |
|
| 8 |
|
dvun.d |
|
| 9 |
|
dvun.n |
|
| 10 |
|
resundi |
|
| 11 |
9
|
reseq2d |
|
| 12 |
10 11
|
eqtr3id |
|
| 13 |
4 5 8
|
fun2d |
|
| 14 |
6 7
|
unssd |
|
| 15 |
2 1
|
dvres |
|
| 16 |
3 13 14 6 15
|
syl22anc |
|
| 17 |
4
|
ffnd |
|
| 18 |
5
|
ffnd |
|
| 19 |
|
fnunres1 |
|
| 20 |
17 18 8 19
|
syl3anc |
|
| 21 |
20
|
oveq2d |
|
| 22 |
16 21
|
eqtr3d |
|
| 23 |
2 1
|
dvres |
|
| 24 |
3 13 14 7 23
|
syl22anc |
|
| 25 |
|
fnunres2 |
|
| 26 |
17 18 8 25
|
syl3anc |
|
| 27 |
26
|
oveq2d |
|
| 28 |
24 27
|
eqtr3d |
|
| 29 |
22 28
|
uneq12d |
|
| 30 |
2 1
|
dvres |
|
| 31 |
3 13 14 14 30
|
syl22anc |
|
| 32 |
13
|
ffnd |
|
| 33 |
|
fnresdm |
|
| 34 |
32 33
|
syl |
|
| 35 |
34
|
oveq2d |
|
| 36 |
31 35
|
eqtr3d |
|
| 37 |
12 29 36
|
3eqtr3d |
|