Theorems · Theorem · category theory
CategoryTheory.Bicategory.Adjunction.comp_unit
∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {a b c : B} {f₁ : a ⟶ b} {g₁ : b ⟶ a} {f₂ : b ⟶ c} {g₂ : c ⟶ b}
(adj₁ : CategoryTheory.Bicategory.Adjunction f₁ g₁) (adj₂ : CategoryTheory.Bicategory.Adjunction f₂ g₂),
(adj₁.comp adj₂).unit = adj₁.compUnit adj₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.Adjunctionstatement and proof · cited by 83
- CategoryTheory.Bicategory.Adjunction.unitstatement and proof · cited by 48
- CategoryTheory.Bicategory.Adjunction.compstatement and proof · cited by 16
- CategoryTheory.Bicategory.Adjunction.compUnitstatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.conjugateEquiv_associator_homproof · cited by 0