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Theorems · Definition · category theory

CategoryTheory.PreZeroHypercover.restrictIndex

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {T : C} → (E : CategoryTheory.PreZeroHypercover T) → {ι : Type w'} → (ι → E.I₀) → CategoryTheory.PreZeroHypercover T

Restrict the indexing type to ι by precomposing with a function ι → E.I₀.

Defined in
Mathlib.CategoryTheory.Sites.Hypercover.Zero
Cited by
11 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
CategoryTheory.Category

Around this declaration

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

CategoryTheory.Precoverage.ZeroHypercover.restrictIndexOfSmall · cited by 8ZeroHypercover.restrictIn…CategoryTheory.PreZeroHypercover.reindex · cited by 6PreZeroHypercover.reindexCategoryTheory.PreZeroHypercover.restrictIndexHom · cited by 2PreZeroHypercover.restric…CategoryTheory.Precoverage.ZeroHypercover.Small.exists_restrictIndex_mem · cited by 1Small.exists_restrictInde…CategoryTheory.PreZeroHypercover.presieve₀_restrictIndex_equiv · cited by 1PreZeroHypercover.presiev…CategoryTheory.Precoverage.ZeroHypercover.restrictIndexOfSmall_toPreZeroHypercover · cited by 1ZeroHypercover.restrictIn…CategoryTheory.PreZeroHypercover.restrictIndexHom_h₀ · cited by 0PreZeroHypercover.restric…CategoryTheory.PreZeroHypercover.restrictIndexHom_s₀ · cited by 0PreZeroHypercover.restric…CategoryTheory.PreZeroHypercover.restrictIndex_I₀ · cited by 0PreZeroHypercover.restric…CategoryTheory.PreZeroHypercover.restrictIndex_X · cited by 0PreZeroHypercover.restric…CategoryTheory.PreZeroHypercover.restrictIndex_f · cited by 0PreZeroHypercover.restric…CategoryTheory.Precoverage.ZeroHypercover.Small.casesOn · cited by 0Small.casesOnCategoryTheory.Precoverage.ZeroHypercover.Small.mem₀ · cited by 0Small.mem₀AlgebraicGeometry.QuasiCompactCover.ulift · cited by 0QuasiCompactCover.uliftCategoryTheory.PreZeroHypercover.presieve₀_restrictIndex_le · cited by 0PreZeroHypercover.presiev…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.PreZeroHypercover.I₀ · cited by 763PreZeroHypercover.I₀CategoryTheory.PreZeroHypercover.X · cited by 649PreZeroHypercover.XCategoryTheory.PreZeroHypercover.f · cited by 542PreZeroHypercover.fCategoryTheory.PreZeroHypercover · cited by 256CategoryTheory.PreZeroHyp…PreZeroHypercover.restrictInd…CITED BYCITES

Cites5

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Cited by17

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