Theorems · Theorem · category theory
CategoryTheory.Cat.FreeRefl.lift_obj
∀ {V : Type u_1} [inst : CategoryTheory.ReflQuiver V] {D : Type u_2} [inst_1 : CategoryTheory.Category.{v_1, u_2} D]
(F : V ⥤rq D) (v : V), (CategoryTheory.Cat.FreeRefl.lift F).obj (CategoryTheory.Cat.FreeRefl.mk v) = F.obj v- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
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- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement · cited by 19,642
- Prefunctor.objstatement · cited by 1,241
- CategoryTheory.ReflQuiverstatement and proof · cited by 64
- CategoryTheory.ReflPrefunctor.toPrefunctorstatement · cited by 36
- CategoryTheory.Cat.FreeReflstatement · cited by 34
- CategoryTheory.ReflPrefunctorstatement and proof · cited by 30
- CategoryTheory.Cat.FreeRefl.mkstatement · cited by 17
- CategoryTheory.Cat.FreeRefl.liftstatement · cited by 6
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