Step |
Hyp |
Ref |
Expression |
1 |
|
funcnvsn |
|
2 |
|
funcnvsn |
|
3 |
1 2
|
pm3.2i |
|
4 |
|
df-rn |
|
5 |
|
rnsnopg |
|
6 |
4 5
|
syl5eqr |
|
7 |
|
df-rn |
|
8 |
|
rnsnopg |
|
9 |
7 8
|
syl5eqr |
|
10 |
6 9
|
ineqan12d |
|
11 |
10
|
3adant3 |
|
12 |
|
disjsn2 |
|
13 |
12
|
3ad2ant3 |
|
14 |
11 13
|
eqtrd |
|
15 |
|
funun |
|
16 |
3 14 15
|
sylancr |
|
17 |
|
df-pr |
|
18 |
17
|
cnveqi |
|
19 |
|
cnvun |
|
20 |
18 19
|
eqtri |
|
21 |
20
|
funeqi |
|
22 |
16 21
|
sylibr |
|