Theorems · Theorem · category theory
CategoryTheory.Cat.freeReflMap_obj
∀ {V : Type u_1} [inst : CategoryTheory.ReflQuiver V] {W : Type u_2} [inst_1 : CategoryTheory.ReflQuiver W]
(F : V ⥤rq W) (v : V),
(CategoryTheory.Cat.freeReflMap F).obj (CategoryTheory.Cat.FreeRefl.mk v) = CategoryTheory.Cat.FreeRefl.mk (F.obj v)- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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.freeReflMapstatement · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.