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916823d | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 | 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 |