Theorems · Theorem · category theory

CategoryTheory.Grothendieck.compAsSmallFunctorEquivalenceInverse_map_base

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (F : CategoryTheory.Functor C CategoryTheory.Cat)
  {X Y : CategoryTheory.Grothendieck F} (f : X ⟶ Y),
  ((CategoryTheory.Grothendieck.compAsSmallFunctorEquivalenceInverse F).map f).base = f.base

Defined in

Mathlib.CategoryTheory.Grothendieck

Cited by

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Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category