lift_rightUnitor_hom — Mathlib

English

The inverse of Lift Lift Associator: lift f (lift g h) ≫ α_{Y,Z,W}.inv = lift (lift f g) h.

Русский

Обратный к Lift Lift Associator: lift f (lift g h) ≫ α_{Y,Z,W}.inv = Lift (lift f g) h.

LaTeX

$$lift f (lift g h) \;\gg\; (\alpha_{Y,Z,W})^{-1} = \mathrm{lift}(lift f g) h$$

Lean4

@[reassoc (attr := simp)]
theorem lift_rightUnitor_hom {X Y : C} (f : X ⟶ Y) (g : X ⟶ 𝟙_ C) : lift f g ≫ (ρ_ Y).hom = f :=
  by
  rw [← Iso.eq_comp_inv]
  cat_disch

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