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Theorems · Definition · algebraic geometry

AlgebraicGeometry.HasAffineProperty.casesOn

{P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} →
  {Q : AlgebraicGeometry.AffineTargetMorphismProperty} →
    {motive : AlgebraicGeometry.HasAffineProperty P Q → Sort u} →
      (t : AlgebraicGeometry.HasAffineProperty P Q) →
        ((isLocal_affineProperty : Q.IsLocal) →
            (eq_targetAffineLocally' : P = AlgebraicGeometry.targetAffineLocally Q) → motive ⋯) →
          motive t
Defined in
Mathlib.AlgebraicGeometry.Morphisms.Basic
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Foundations
Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
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AlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…AlgebraicGeometry.AffineTargetMorphismProperty · cited by 31AlgebraicGeometry.AffineT…AlgebraicGeometry.HasAffineProperty · cited by 30AlgebraicGeometry.HasAffi…AlgebraicGeometry.AffineTargetMorphismProperty.IsLocal · cited by 17AffineTargetMorphismPrope…AlgebraicGeometry.targetAffineLocally · cited by 12AlgebraicGeometry.targetA…HasAffineProperty.casesOnCITED BYCITES

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