Theorems · Theorem · category theory
CategoryTheory.Sieve.functorPushforward_top
∀ {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), CategoryTheory.Sieve.functorPushforward F ⊤ = ⊤- Defined in
- Mathlib.CategoryTheory.Sites.Sieves
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Top.topstatement and proof · cited by 9,680
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.Functor.map_idproof · cited by 616
- CategoryTheory.Sievestatement · cited by 552
- CategoryTheory.Sieve.functorPushforwardstatement and proof · cited by 73
- CategoryTheory.Sieve.generate_sieveproof · cited by 19
- CategoryTheory.Sieve.generate_of_contains_isSplitEpiproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.coverPreserving_restrictedTopologyproof · cited by 3