rightUnitor_hom_toLinearMap — Mathlib

English

Properties of toCoalgIso with reflexivity and symmetry apply in the CoalgCat setting.

Русский

Свойства toCoalgIso при рефлексивности и симметрии применимы в настройке CoalgCat.

LaTeX

$$$$ toCoalgIso (CoalgEquiv.refl R X) = .refl _ \text{ и } toCoalgIso e.symm = (toCoalgIso e).symm. $$$$

Lean4

theorem rightUnitor_hom_toLinearMap : (ρ_ (CoalgCat.of R M)).hom.1.toLinearMap = (TensorProduct.rid R M).toLinearMap :=
  TensorProduct.ext <| by ext; rfl

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