Theorems · Definition · algebraic geometry

AlgebraicGeometry.QuasiSeparated.casesOn

{X Y : AlgebraicGeometry.Scheme} →
  {f : X ⟶ Y} →
    {motive : AlgebraicGeometry.QuasiSeparated f → Sort u_1} →
      (t : AlgebraicGeometry.QuasiSeparated f) →
        ((quasiCompact_diagonal : AlgebraicGeometry.QuasiCompact (CategoryTheory.Limits.pullback.diagonal f)) →
            motive ⋯) →
          motive t

Defined in: Mathlib.AlgebraicGeometry.Morphisms.QuasiSeparated
Cited by: 1 results in Mathlib
Foundations: Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Quiver.Homstatement and proof · cited by 32,603
AlgebraicGeometry.Schemestatement and proof · cited by 2,540
AlgebraicGeometry.QuasiCompactstatement and proof · cited by 102
CategoryTheory.Limits.pullback.diagonalObjstatement · cited by 80
CategoryTheory.Limits.pullback.diagonalstatement and proof · cited by 67
AlgebraicGeometry.QuasiSeparatedstatement and proof · cited by 52

Cited by1

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AlgebraicGeometry.quasiSeparated_iffproof · cited by 2