Theorems · Definition · category theory

CategoryTheory.Over.iteratedSliceBackward

{T : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} T] →
    {X : T} → (f : CategoryTheory.Over X) → CategoryTheory.Functor (CategoryTheory.Over f.left) (CategoryTheory.Over f)

Given f : Y ⟶ X, this is the obvious functor from T/Y to (T/X)/f

Defined in

Mathlib.CategoryTheory.Comma.Over.Basic

Cited by

11 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category