Theorems · Definition · category theory
CategoryTheory.Precoverage.ZeroHypercover.Small.Index
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{J : CategoryTheory.Precoverage C} → {S : C} → (E : J.ZeroHypercover S) → [E.Small] → Type w'The w'-index type of a w'-small 0-hypercover.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses Classical.choice
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.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.ZeroHypercoverstatement and proof · cited by 81
- CategoryTheory.Precoverage.ZeroHypercover.Smallstatement and proof · cited by 7
- CategoryTheory.Precoverage.ZeroHypercover.Small.exists_restrictIndex_memproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.ZeroHypercover.Small.restrictFunstatement · cited by 8
- CategoryTheory.MorphismProperty.of_zeroHypercover_targetproof · cited by 2
- CategoryTheory.Precoverage.ZeroHypercover.restrictIndexOfSmall_toPreZeroHypercoverstatement · cited by 1
- CategoryTheory.MorphismProperty.of_zeroHypercover_sourceproof · cited by 0
- CategoryTheory.Precoverage.ZeroHypercover.Small.mem₀statement · cited by 0