isoSheafedSpace — Mathlib

English

The descent map desc F s satisfies the factorization through the cocone at level j, giving the compatibility with s.ι.app j.

Русский

Desc F s удовлетворяет факторизации через кокакон на уровне j, совместимо с s.ι.app j.

LaTeX

$$$\text{desc}_F^s \circ (\text{ι.app } j) = s.ι.app j$$$

Lean4

/-- The gluing as locally ringed spaces is isomorphic to the gluing as ringed spaces. -/
abbrev isoSheafedSpace : 𝖣.glued.toSheafedSpace ≅ D.toSheafedSpaceGlueData.toGlueData.glued :=
  𝖣.gluedIso forgetToSheafedSpace

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