Theorems · Theorem · category theory

CategoryTheory.Presieve.map_functorPullback_overForget

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X : C} {Y : CategoryTheory.Over X}
  (R : CategoryTheory.Presieve Y.left),
  CategoryTheory.Presieve.map (CategoryTheory.Over.forget X)
      (CategoryTheory.Presieve.functorPullback (CategoryTheory.Over.forget X) R) =
    R

Defined in

Mathlib.CategoryTheory.Sites.Over

Cited by

2 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category