EmbeddingRing — Mathlib

English

If F is full and F embeds into Opposite(C), then the composed embedding is full.

Русский

Если F полно и вложение в Opposite(C) полно, тогда композиция вложений полно.

LaTeX

$$F.comp(embedding F).Full$$

Lean4

/-- Given a functor `F : D ⥤ Cᵒᵖ`, where `C` is Grothendieck abelian, this is a ring `R` such that
`Cᵒᵖ` has a nice embedding into `ModuleCat (EmbeddingRing F)`; see
`OppositeModuleEmbedding.embedding`. -/
def EmbeddingRing : Type v :=
  (End (generator F))ᵐᵒᵖ

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