| import Mathlib | |
| open CategoryTheory Limits | |
| theorem forget_Top_faithful_not_full : | |
| (forget TopCat).Faithful ∧ ¬ (forget TopCat).Full := by | |
| sorry | |
| theorem forget_Grp_faithful_not_full : | |
| (forget Grp).Faithful ∧ ¬ (forget Grp).Full := by | |
| sorry | |
| theorem forget_Ring_Ab_faithful_not_full : | |
| (forget₂ RingCat Ab).Faithful ∧ ¬ (forget₂ RingCat Ab).Full := by | |
| sorry | |
| theorem forget_TopPointed_faithful_not_full : | |
| (Under.forget (terminal TopCat)).Faithful ∧ ¬ (Under.forget (terminal TopCat)).Full := by | |
| sorry |