Theorems · Theorem · category theory
CategoryTheory.Adjunction.isRightAdjoint
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
{F : CategoryTheory.Functor C D} {G : CategoryTheory.Functor D C} (adj : G ⊣ F), F.IsRightAdjoint- Defined in
- Mathlib.CategoryTheory.Adjunction.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Adjunctionstatement and proof · cited by 524
- CategoryTheory.Functor.IsRightAdjointstatement · cited by 46
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.isRightAdjoint_of_leftAdjointObjIsDefined_eq_topproof · cited by 1
- CategoryTheory.isRightAdjoint_triangle_lift_monadicproof · cited by 1
- CategoryTheory.Adjunction.isContinuous_of_isCocontinuousproof · cited by 0
- CategoryTheory.isRightAdjoint_square_liftproof · cited by 0
- CategoryTheory.isRightAdjoint_square_lift_monadicproof · cited by 0
- LightCondensed.epi_π_app_zero_of_epiproof · cited by 0
- CategoryTheory.Sheaf.preservesSheafification_of_adjunctionproof · cited by 0
- CategoryTheory.MorphismProperty.isRightAdjoint_pullbackproof · cited by 0