whiskering_preadditiveYoneda — Mathlib

English

Composing the preadditive Yoneda embedding with whiskering on the opposite side yields the regular Yoneda embedding.

Русский

Сочетание предаддитивной Yoneda‑ embedding с whiskering с противоположной стороны даёт обычную Yoneda embedding.

LaTeX

$$$\text{whiskering preadditiveYoneda} = \text{yoneda}$$$

Lean4

/-- Composing the preadditive yoneda embedding with the forgetful functor yields the regular
Yoneda embedding.
-/
@[simp]
theorem whiskering_preadditiveYoneda :
    preadditiveYoneda ⋙ (whiskeringRight Cᵒᵖ AddCommGrpCat (Type v)).obj (forget AddCommGrpCat) = yoneda :=
  rfl

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