μNatIso — Mathlib

English

The image under F of the right unitor equals a canonical composite involving δ, whiskering by X, and μ.

Русский

Образ правого унитора под F expressed через δ, whiskerRight и μ.

LaTeX

$$$$ F(\\rho_X) = δ F X (I) \\circ F.obj X \\triangleright \\varepsilon F \\circ μ F X (I) $$$$

Lean4

/-- The tensorator as a natural isomorphism. -/
@[simps!]
def μNatIso : Functor.prod F F ⋙ tensor D ≅ tensor C ⋙ F :=
  NatIso.ofComponents (fun _ ↦ μIso F _ _)

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