ofSheafStonean — Mathlib

English

Abbreviation constructing a CondensedMod from a Stonean sheaf F with PreservesFiniteProducts.

Русский

Сокращение, строящее CondensedMod из Stonean-пересечения F, обладающего PreservesFiniteProducts.

LaTeX

$$$$\text{ofSheafStonean}(F) \in \mathrm{CondensedMod}(R).$$$$

Lean4

/-- A `CondensedMod` version of `Condensed.ofSheafStonean`. -/
noncomputable abbrev ofSheafStonean (F : Stonean.{u}ᵒᵖ ⥤ ModuleCat.{u + 1} R) [PreservesFiniteProducts F] :
    CondensedMod R :=
  haveI : HasLimitsOfSize.{u, u + 1} (ModuleCat R) := hasLimitsOfSizeShrink.{u, u + 1, u + 1, u + 1} _
  Condensed.ofSheafStonean F

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