Theorems · Theorem · category theory

CategoryTheory.Sieve.functorPushforward_functor

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {X : C} (S : CategoryTheory.Sieve X) (e : C ≌ D),
  CategoryTheory.Sieve.functorPushforward e.functor S =
    CategoryTheory.Sieve.functorPullback e.inverse (CategoryTheory.Sieve.pullback (e.unitInv.app X) S)

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

2 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category