instIsIsoFromGlued — Mathlib

English

Variant of fromGlued_open_map clarifies equality with a f x expression.

Русский

Вариант fromGlued_open_map уточняет равенство с выражением f x.

LaTeX

$$$$ f_x = \text{something involving } \text{fromGlued}. $$$$

Lean4

instance : IsIso 𝒰.fromGlued :=
  let F :=
    Scheme.forgetToLocallyRingedSpace ⋙ LocallyRingedSpace.forgetToSheafedSpace ⋙ SheafedSpace.forgetToPresheafedSpace
  have : IsIso (F.map (fromGlued 𝒰)) := by
    change IsIso 𝒰.fromGlued.toPshHom
    apply PresheafedSpace.IsOpenImmersion.to_iso
  isIso_of_reflects_iso _ F

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