stalkwise — Mathlib

English

An instance asserting diagonal for subsingleton with Postcomp property is closed-immersion.

Русский

Диагональ для подсинглтонного случая с Postcomp свойством замкнутое погружение.

LaTeX

$$instIsClosedImmersionOfSubsingletonPostcomp$$

Lean4

/-- `stalkwise P` holds for a morphism if all stalks satisfy `P`. -/
def stalkwise (P : ∀ {R S : Type u} [CommRing R] [CommRing S], (R →+* S) → Prop) : MorphismProperty Scheme.{u} :=
  fun _ _ f => ∀ x, P (f.stalkMap x).hom

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