Theorems · Theorem · category theory

CategoryTheory.Sieve.overEquiv_symm_generate

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

Defined in

Mathlib.CategoryTheory.Sites.Over

Cited by

1 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category