Theorems · Theorem · category theory
CategoryTheory.Bicategory.Adjunction.ext
∀ {B : Type u₁} {inst : CategoryTheory.Bicategory B} {a b : B} {f : a ⟶ b} {g : b ⟶ a}
{x y : CategoryTheory.Bicategory.Adjunction f g}, x.unit = y.unit → x.counit = y.counit → x = y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 and proof · cited by 17,999
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.leftUnitorproof · cited by 309
- CategoryTheory.Bicategory.rightUnitorproof · cited by 308
- CategoryTheory.Bicategory.Adjunctionstatement and proof · cited by 83
- CategoryTheory.Bicategory.Adjunction.unitstatement and proof · cited by 48
- CategoryTheory.Bicategory.Adjunction.counitstatement and proof · cited by 44
- CategoryTheory.Bicategory.rightZigzagproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Adjunction.ext_iffproof · cited by 0
- CategoryTheory.Adjunction.toCat_comp_toCatproof · cited by 0