whiskerLeft_naturality_naturality

English

Assertive equality of comultiplication under mkOfComonad isomorphism.

Русский

Утверждаемое равенство комулации под изоморфизмом mkOfComonad.

LaTeX

$$$Δ[(\\mathrm{mkOfComonad}\\ t).hom] = Δ[t]$$$

Lean4

@[reassoc (attr := simp)]
theorem whiskerLeft_naturality_naturality (f : a' ⟶ G.obj a) {g h : a ⟶ b} (β : g ⟶ h) :
    f ◁ G.map₂ β ▷ θ.app b ≫ f ◁ θ.naturality h = f ◁ θ.naturality g ≫ f ◁ θ.app a ◁ H.map₂ β := by
  simp_rw [← whiskerLeft_comp, naturality_naturality]

Похожие утверждения