Theorems · Definition · algebraic geometry

AlgebraicGeometry.sourceAffineLocally

({R S : Type u} → [inst : CommRing R] → [inst_1 : CommRing S] → (R →+* S) → Prop) →
  AlgebraicGeometry.AffineTargetMorphismProperty

For P a property of ring homomorphisms, sourceAffineLocally P holds for f : X ⟶ Y whenever P holds for the restriction of f on every affine open subset of X.

Defined in

Mathlib.AlgebraicGeometry.Morphisms.RingHomProperties

Cited by

6 results in Mathlib

Foundations

Depth 140 from the axioms · uses propext, Classical.choice, Quot.sound