fullyFaithfulUliftFunctor — Mathlib

English

The fully faithful Ulift functor is defined for FGAlgCat R.

Русский

Определён полноф faithul функтор ульифт для FGAlgCat R.

LaTeX

$$$\text{FullyFaithfulUliftFunctor}(R)$$$

Lean4

/-- The universe lift functor for finitely generated algebras is fully faithful. -/
def fullyFaithfulUliftFunctor : (FGAlgCat.uliftFunctor R).FullyFaithful where
  preimage {A B} f := CommAlgCat.ofHom <| ULift.algEquiv.toAlgHom.comp <| f.hom.comp ULift.algEquiv.symm.toAlgHom

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