Step |
Hyp |
Ref |
Expression |
1 |
|
df-relp |
Could not format ( H RelPres R , S ( A , B ) <-> ( H : A --> B /\ A. x e. A A. y e. A ( x R y -> ( H ` x ) S ( H ` y ) ) ) ) : No typesetting found for |- ( H RelPres R , S ( A , B ) <-> ( H : A --> B /\ A. x e. A A. y e. A ( x R y -> ( H ` x ) S ( H ` y ) ) ) ) with typecode |- |
2 |
1
|
simprbi |
Could not format ( H RelPres R , S ( A , B ) -> A. x e. A A. y e. A ( x R y -> ( H ` x ) S ( H ` y ) ) ) : No typesetting found for |- ( H RelPres R , S ( A , B ) -> A. x e. A A. y e. A ( x R y -> ( H ` x ) S ( H ` y ) ) ) with typecode |- |
3 |
|
breq1 |
|
4 |
|
fveq2 |
|
5 |
4
|
breq1d |
|
6 |
3 5
|
imbi12d |
|
7 |
|
breq2 |
|
8 |
|
fveq2 |
|
9 |
8
|
breq2d |
|
10 |
7 9
|
imbi12d |
|
11 |
6 10
|
rspc2v |
|
12 |
2 11
|
mpan9 |
Could not format ( ( H RelPres R , S ( A , B ) /\ ( C e. A /\ D e. A ) ) -> ( C R D -> ( H ` C ) S ( H ` D ) ) ) : No typesetting found for |- ( ( H RelPres R , S ( A , B ) /\ ( C e. A /\ D e. A ) ) -> ( C R D -> ( H ` C ) S ( H ` D ) ) ) with typecode |- |