Theorems · Theorem · category theory
CategoryTheory.Cat.toFreeRefl_map
∀ (V : Type u_1) [inst : CategoryTheory.ReflQuiver V] {X Y : V} (f : X ⟶ Y),
(CategoryTheory.Cat.toFreeRefl V).map f = CategoryTheory.Cat.FreeRefl.homMk f- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.ReflQuiver
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Prefunctor.mapstatement and proof · cited by 952
- CategoryTheory.ReflQuiverstatement and proof · cited by 64
- CategoryTheory.ReflPrefunctor.toPrefunctorstatement and proof · cited by 36
- CategoryTheory.Cat.FreeReflstatement · cited by 34
- CategoryTheory.Cat.FreeRefl.mkstatement · cited by 17
- CategoryTheory.Cat.FreeRefl.homMkstatement · cited by 13
- CategoryTheory.Cat.toFreeReflstatement and proof · cited by 5
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