Theorems · Theorem · category theory
CategoryTheory.ObjectProperty.map_top
∀ {C : Type u₁} {D : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
(F : CategoryTheory.Functor C D), ⊤.map F = F.essImage- Defined in
- Mathlib.CategoryTheory.EssentialImage
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
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.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Top.topstatement and proof · cited by 9,680
- CategoryTheory.Isoproof · cited by 3,963
- CategoryTheory.ObjectPropertystatement · cited by 798
- CategoryTheory.Functor.essImagestatement and proof · cited by 82
- CategoryTheory.ObjectProperty.mapstatement and proof · cited by 15
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.