Theorems · Theorem · category theory
CategoryTheory.Sieve.functorPushforward_overForget_arrows
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X : C} {Y : CategoryTheory.Over X}
(S : CategoryTheory.Sieve Y),
CategoryTheory.Presieve.functorPushforward (CategoryTheory.Over.forget X) S.arrows =
CategoryTheory.Presieve.map (CategoryTheory.Over.forget X) S.arrows- Defined in
- Mathlib.CategoryTheory.Sites.Over
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functor.mapproof · cited by 8,698
- le_antisymmproof · cited by 2,068
- CategoryTheory.Overstatement and proof · cited by 935
- CategoryTheory.Sievestatement and proof · cited by 552
- CategoryTheory.Presievestatement · cited by 449
- CategoryTheory.Sieve.arrowsstatement and proof · cited by 446
- CategoryTheory.Over.homproof · cited by 370
- CategoryTheory.Over.forgetstatement and proof · cited by 164
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Sieve.functorPullback_functorPushforward_overForgetproof · cited by 1