Step |
Hyp |
Ref |
Expression |
1 |
|
elex |
|
2 |
|
nnnn0 |
|
3 |
|
relexpcnv |
|
4 |
2 3
|
sylan |
|
5 |
4
|
expcom |
|
6 |
5
|
ralrimiv |
|
7 |
|
iuneq2 |
|
8 |
6 7
|
syl |
|
9 |
|
oveq1 |
|
10 |
9
|
iuneq2d |
|
11 |
|
dftrcl3 |
|
12 |
|
nnex |
|
13 |
|
ovex |
|
14 |
12 13
|
iunex |
|
15 |
10 11 14
|
fvmpt |
|
16 |
15
|
cnveqd |
|
17 |
|
cnviun |
|
18 |
16 17
|
eqtrdi |
|
19 |
|
cnvexg |
|
20 |
|
oveq1 |
|
21 |
20
|
iuneq2d |
|
22 |
|
dftrcl3 |
|
23 |
|
ovex |
|
24 |
12 23
|
iunex |
|
25 |
21 22 24
|
fvmpt |
|
26 |
19 25
|
syl |
|
27 |
8 18 26
|
3eqtr4d |
|
28 |
1 27
|
syl |
|