Theorems · Theorem · category theory
CategoryTheory.Sieve.functorPushforward_apply
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(F : CategoryTheory.Functor C D) {X : C} (R : CategoryTheory.Sieve X),
(CategoryTheory.Sieve.functorPushforward F R).arrows = CategoryTheory.Presieve.functorPushforward F R.arrows- Defined in
- Mathlib.CategoryTheory.Sites.Sieves
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Sievestatement and proof · cited by 552
- CategoryTheory.Presievestatement · cited by 449
- CategoryTheory.Sieve.arrowsstatement and proof · cited by 446
- CategoryTheory.Sieve.functorPushforwardstatement and proof · cited by 73
- CategoryTheory.Presieve.functorPushforwardstatement · cited by 16
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Sieve.generate_map_eq_functorPushforwardproof · cited by 6
- CategoryTheory.Sieve.functorPushforward_compproof · cited by 2
- CategoryTheory.Sieve.functorPushforward_functorPullback_overForgetproof · cited by 1
- CategoryTheory.Sieve.functorPullback_functorPushforward_overForgetproof · cited by 1