Theorems · Theorem · category theory

CategoryTheory.Sieve.functorPushforward_functorPullback_overForget

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

Defined in

Mathlib.CategoryTheory.Sites.Over

Cited by

1 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category