isStandardSmooth_holdsForLocalizationAway

English

IsStandardSmooth holds for localization away 0: i.e., HoldsForLocalizationAway IsStandardSmooth.

Русский

Стандартная гладкость сохраняется при локализации away: HoldsForLocalizationAway IsStandardSmooth.

LaTeX

$$$$ \operatorname{HoldsForLocalizationAway}( \operatorname{IsStandardSmooth} ). $$$$

Lean4

theorem isStandardSmooth_holdsForLocalizationAway : HoldsForLocalizationAway IsStandardSmooth :=
  by
  introv R h
  exact (IsStandardSmoothOfRelativeDimension.algebraMap_isLocalizationAway r).isStandardSmooth

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