Step |
Hyp |
Ref |
Expression |
1 |
|
0nn0 |
|
2 |
|
fzo0 |
|
3 |
2
|
eqcomi |
|
4 |
3
|
naryfvalel |
Could not format ( ( 0 e. NN0 /\ X e. V ) -> ( F e. ( 0 -aryF X ) <-> F : ( X ^m (/) ) --> X ) ) : No typesetting found for |- ( ( 0 e. NN0 /\ X e. V ) -> ( F e. ( 0 -aryF X ) <-> F : ( X ^m (/) ) --> X ) ) with typecode |- |
5 |
1 4
|
mpan |
Could not format ( X e. V -> ( F e. ( 0 -aryF X ) <-> F : ( X ^m (/) ) --> X ) ) : No typesetting found for |- ( X e. V -> ( F e. ( 0 -aryF X ) <-> F : ( X ^m (/) ) --> X ) ) with typecode |- |
6 |
|
mapdm0 |
|
7 |
6
|
feq2d |
|
8 |
|
0ex |
|
9 |
8
|
fsn2 |
|
10 |
|
opeq2 |
|
11 |
10
|
sneqd |
|
12 |
11
|
rspceeqv |
|
13 |
9 12
|
sylbi |
|
14 |
8
|
a1i |
|
15 |
|
id |
|
16 |
14 15
|
fsnd |
|
17 |
|
feq1 |
|
18 |
16 17
|
syl5ibrcom |
|
19 |
18
|
rexlimiv |
|
20 |
13 19
|
impbii |
|
21 |
20
|
a1i |
|
22 |
5 7 21
|
3bitrd |
Could not format ( X e. V -> ( F e. ( 0 -aryF X ) <-> E. x e. X F = { <. (/) , x >. } ) ) : No typesetting found for |- ( X e. V -> ( F e. ( 0 -aryF X ) <-> E. x e. X F = { <. (/) , x >. } ) ) with typecode |- |