Step |
Hyp |
Ref |
Expression |
1 |
|
cnrecnv.1 |
|
2 |
1
|
cnref1o |
|
3 |
|
f1ocnv |
|
4 |
|
f1of |
|
5 |
2 3 4
|
mp2b |
|
6 |
5
|
a1i |
|
7 |
6
|
feqmptd |
|
8 |
7
|
mptru |
|
9 |
|
df-ov |
|
10 |
|
recl |
|
11 |
|
imcl |
|
12 |
|
oveq1 |
|
13 |
|
oveq2 |
|
14 |
13
|
oveq2d |
|
15 |
|
ovex |
|
16 |
12 14 1 15
|
ovmpo |
|
17 |
10 11 16
|
syl2anc |
|
18 |
9 17
|
syl5eqr |
|
19 |
|
replim |
|
20 |
18 19
|
eqtr4d |
|
21 |
20
|
fveq2d |
|
22 |
10 11
|
opelxpd |
|
23 |
|
f1ocnvfv1 |
|
24 |
2 22 23
|
sylancr |
|
25 |
21 24
|
eqtr3d |
|
26 |
25
|
mpteq2ia |
|
27 |
8 26
|
eqtri |
|