leftInverseUnitor — Mathlib

English

There is a functor leftInverseUnitor: C ⥤ Discrete(PUnit) × C which assigns to X the pair (∗, X) and to f the morphism (id, f).

Русский

Существует левый обратный унитор: C ⥤ Discrete(PUnit) × C, который ставит в пары (∗, X) и переводит морфизм f в (id, f).

LaTeX

$$$\\mathrm{leftInverseUnitor}: \\mathcal{C} \\to \\mathrm{Discrete}(PUnit) \\times \\mathcal{C}$ with $\\mathrm{obj}(X) = \\langle \\langle PUnit.unit \\rangle, X \\rangle$ and $\\mathrm{map} f = \\langle 1, f \\rangle$$$

Lean4

/-- The left inverse unitor `C ⥤ 1 × C` -/
@[simps]
def leftInverseUnitor : C ⥤ Discrete (PUnit : Type w) × C
    where
  obj X := ⟨⟨PUnit.unit⟩, X⟩
  map f := ⟨𝟙 _, f⟩

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