toAlgebra — Mathlib

English

Helper: from IsStandardSmoothOfRelativeDimension n f to Algebra.IsStandardSmoothOfRelativeDimension n on the underlying algebra.

Русский

Помощь: из IsStandardSmoothOfRelativeDimension n f в Algebra.IsStandardSmoothOfRelativeDimension n на фоне алгебры.

LaTeX

$$$\mathrm{IsStandardSmoothOfRelativeDimension}(n)(f) \Rightarrow \mathrm{Algebra.IsStandardSmoothOfRelativeDimension}(n)(f^{\text{algebra}})$$$

Lean4

/-- Helper lemma for the `algebraize` tactic -/
theorem toAlgebra {f : R →+* S} (hf : IsStandardSmoothOfRelativeDimension n f) :
    @Algebra.IsStandardSmoothOfRelativeDimension n R S _ _ f.toAlgebra :=
  hf

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