whiskering_preadditiveCoyoneda — Mathlib

English

Composing preadditiveCoyoneda with forgetful whiskering recovers the standard coyoneda embedding.

Русский

Сочетание preadditiveCoyoneda с забывающим whiskering восстанавливает стандартноеCoyoneda embedding.

LaTeX

$$$\text{preadditiveCoyoneda} \circ \text{forget whiskering} = \text{coyoneda}$$$

Lean4

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

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