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 TRestrict the indexing type to ι by precomposing with a function ι → E.I₀.
- 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.PreZeroHypercover.I₀statement and proof · cited by 763
- CategoryTheory.PreZeroHypercover.Xproof · cited by 649
- CategoryTheory.PreZeroHypercover.fproof · cited by 542
- CategoryTheory.PreZeroHypercoverstatement and proof · cited by 256
Cited by17
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.ZeroHypercover.restrictIndexOfSmallproof · cited by 8
- CategoryTheory.PreZeroHypercover.reindexproof · cited by 6
- CategoryTheory.PreZeroHypercover.restrictIndexHomstatement and proof · cited by 2
- CategoryTheory.Precoverage.ZeroHypercover.Small.exists_restrictIndex_memstatement · cited by 1
- CategoryTheory.PreZeroHypercover.presieve₀_restrictIndex_equivstatement and proof · cited by 1
- CategoryTheory.Precoverage.ZeroHypercover.restrictIndexOfSmall_toPreZeroHypercoverstatement · cited by 1
- CategoryTheory.PreZeroHypercover.restrictIndexHom_h₀statement and proof · cited by 0
- CategoryTheory.PreZeroHypercover.restrictIndexHom_s₀statement · cited by 0
- CategoryTheory.PreZeroHypercover.restrictIndex_I₀statement and proof · cited by 0
- CategoryTheory.PreZeroHypercover.restrictIndex_Xstatement and proof · cited by 0
- CategoryTheory.PreZeroHypercover.restrictIndex_fstatement and proof · cited by 0
- CategoryTheory.Precoverage.ZeroHypercover.Small.casesOnstatement and proof · cited by 0