Theorems · Theorem · category theory

CategoryTheory.Pseudofunctor.Grothendieck.map_id_map

∀ {𝒮 : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} 𝒮]
  {F : CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete 𝒮) CategoryTheory.Cat} {x y : F.Grothendieck}
  (f : x ⟶ y), (CategoryTheory.Pseudofunctor.Grothendieck.map (CategoryTheory.CategoryStruct.id F)).map f = f

Defined in

Mathlib.CategoryTheory.Bicategory.Grothendieck

Cited by

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Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category