Theorems · Inductive type · category theory
CategoryTheory.Functor.IsRightAdjoint
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor D C → PropA class asserting the existence of a left adjoint.
- Defined in
- Mathlib.CategoryTheory.Adjunction.Basic
- Cited by
- 46 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
Cited by66
Results whose statement or proof uses this declaration.
- CategoryTheory.HasWeakSheafifyproof · cited by 221
- CategoryTheory.Adjunction.ofIsRightAdjointstatement and proof · cited by 13
- SheafOfModules.pullbackstatement and proof · cited by 12
- CategoryTheory.Adjunction.isRightAdjointstatement · cited by 8
- SheafOfModules.pullbackPushforwardAdjunctionstatement and proof · cited by 7
- CategoryTheory.Functor.leftAdjointstatement and proof · cited by 6
- SheafOfModules.pullbackObjFreeIsostatement and proof · cited by 5
- SheafOfModules.pullbackObjUnitToUnitstatement and proof · cited by 5
- SheafOfModules.pullbackCompstatement and proof · cited by 4
- CategoryTheory.isRightAdjointOfStructuredArrowInitialsstatement · cited by 3
- PresheafOfModules.pullbackstatement and proof · cited by 3
- PresheafOfModules.pullbackCompstatement and proof · cited by 3