Step |
Hyp |
Ref |
Expression |
1 |
|
merco1lem5 |
|- ( ( ( ( ps -> F. ) -> ( ( ( ps -> ch ) -> ps ) -> F. ) ) -> ch ) -> ( ps -> ch ) ) |
2 |
|
merco1 |
|- ( ( ( ( ( ps -> F. ) -> ( ( ( ps -> ch ) -> ps ) -> F. ) ) -> ch ) -> ( ps -> ch ) ) -> ( ( ( ps -> ch ) -> ps ) -> ( ( ( ps -> ch ) -> ps ) -> ps ) ) ) |
3 |
1 2
|
ax-mp |
|- ( ( ( ps -> ch ) -> ps ) -> ( ( ( ps -> ch ) -> ps ) -> ps ) ) |
4 |
|
merco1lem6 |
|- ( ( ( ( ps -> ch ) -> ps ) -> ( ( ( ps -> ch ) -> ps ) -> ps ) ) -> ( ph -> ( ( ( ps -> ch ) -> ps ) -> ps ) ) ) |
5 |
3 4
|
ax-mp |
|- ( ph -> ( ( ( ps -> ch ) -> ps ) -> ps ) ) |