Theorems · Definition · category theory

CategoryTheory.Bicategory.Adj.Bicategory.leftUnitor

{B : Type u} →
  [inst : CategoryTheory.Bicategory B] →
    {a b : CategoryTheory.Bicategory.Adj B} →
      (α : a ⟶ b) → CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.id a) α ≅ α

The left unitor in the bicategory Adj B.

Defined in: Mathlib.CategoryTheory.Bicategory.Adjunction.Adj
Cited by: 4 results in Mathlib
Foundations: Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Bicategory

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Cites12

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.Isostatement · cited by 3,963
CategoryTheory.Bicategorystatement and proof · cited by 1,587
CategoryTheory.Iso.symmproof · cited by 993
CategoryTheory.Bicategory.leftUnitorproof · cited by 309
CategoryTheory.Bicategory.rightUnitorproof · cited by 308
CategoryTheory.Bicategory.Adjstatement and proof · cited by 131
CategoryTheory.Bicategory.Adj.Hom.lproof · cited by 89
CategoryTheory.Bicategory.Adj.Hom.rproof · cited by 82
CategoryTheory.Bicategory.Adj.iso₂Mkproof · cited by 5

Cited by4

Results whose statement or proof uses this declaration.

CategoryTheory.Bicategory.Adj.Bicategory.leftUnitor_hom_τlstatement and proof · cited by 0
CategoryTheory.Bicategory.Adj.Bicategory.leftUnitor_hom_τrstatement and proof · cited by 0
CategoryTheory.Bicategory.Adj.Bicategory.leftUnitor_inv_τlstatement and proof · cited by 0
CategoryTheory.Bicategory.Adj.Bicategory.leftUnitor_inv_τrstatement and proof · cited by 0