instIsStableUnderCompositionSchemeLocallyOfFiniteType

English

LocallyOfFinitePresentation is stable under composition of morphisms.

Русский

LocallyOfFinitePresentation устойчива относительно композиции морфизмов.

LaTeX

$$$\text{LocallyOfFinitePresentation}(f) \land \text{LocallyOfFinitePresentation}(g) \Rightarrow \text{LocallyOfFinitePresentation}(f \circ g).$$$

Lean4

instance : MorphismProperty.IsStableUnderComposition @LocallyOfFiniteType :=
  HasRingHomProperty.stableUnderComposition RingHom.finiteType_stableUnderComposition

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