Mathlib Map

Theorems · Theorem · algebraic geometry

AlgebraicGeometry.Scheme.Pullback.range_diagonal_subset_diagonalCoverDiagonalRange

∀ {X Y : AlgebraicGeometry.Scheme} (f : X ⟶ Y) (𝒰 : Y.OpenCover)
  (𝒱 : (i : 𝒰.I₀) → (CategoryTheory.Limits.pullback f (𝒰.f i)).OpenCover),
  Set.range ⇑(CategoryTheory.Limits.pullback.diagonal f) ⊆
    ↑(AlgebraicGeometry.Scheme.Pullback.diagonalCoverDiagonalRange f 𝒰 𝒱)
Defined in
Mathlib.AlgebraicGeometry.Morphisms.Separated
Cited by
1 results in Mathlib
Foundations
Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.ExistsHomHomCompEqCompAux.exists_index · cited by 1ExistsHomHomCompEqCompAux…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compSetLike.coe · cited by 8199SetLike.coeCategoryTheory.Category.assoc · cited by 6433Category.assocCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idSet.range · cited by 4705Set.rangeCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierFunLike · cited by 2560FunLikeAlgebraicGeometry.Scheme · cited by 2540AlgebraicGeometry.SchemeContinuousMap · cited by 2491ContinuousMapCommRingCat · cited by 2333CommRingCatPullback.range_diagonal_subse…CITED BYCITES

Cites67

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

Cited by1

Results whose statement or proof uses this declaration.