Theorems · Theorem · category theory
CategoryTheory.Adjunction.ext
∀ {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 adj' : F ⊣ G},
adj.unit = adj'.unit → adj = adj'- Defined in
- Mathlib.CategoryTheory.Adjunction.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.compstatement and proof · cited by 6,529
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Functor.idstatement and proof · cited by 3,333
- CategoryTheory.Adjunctionstatement and proof · cited by 524
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Adjunction.rightOp_eqproof · cited by 0
- CategoryTheory.Adjunction.leftOp_eqproof · cited by 0
- CategoryTheory.Bicategory.Adjunction.ofCat_compproof · cited by 0
- CategoryTheory.Pretriangulated.Opposite.commShift_adjunction_op_intproof · cited by 0
- CategoryTheory.Adjunction.ext_iffproof · cited by 0