Theorems · Theorem · category theory

CategoryTheory.Sieve.functorPushforward_over_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y) (Z : CategoryTheory.Over X)
  (S : CategoryTheory.Sieve Z.left),
  CategoryTheory.Sieve.functorPushforward (CategoryTheory.Over.map f) ((CategoryTheory.Sieve.overEquiv Z).symm S) =
    (CategoryTheory.Sieve.overEquiv ((CategoryTheory.Over.map f).obj Z)).symm S

Defined in

Mathlib.CategoryTheory.Sites.Over

Cited by

1 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category