Theorems · Definition · category theory
CategoryTheory.Precoverage.ZeroHypercover.Small.restrictFun
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{J : CategoryTheory.Precoverage C} →
{S : C} →
(E : J.ZeroHypercover S) → [inst_1 : E.Small] → CategoryTheory.Precoverage.ZeroHypercover.Small.Index E → E.I₀The index restriction function of a small 0-hypercover.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 · cited by 763
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement · cited by 469
- 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.Indexstatement · cited by 4
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.ZeroHypercover.restrictIndexOfSmallproof · cited by 8
- CategoryTheory.MorphismProperty.of_zeroHypercover_targetproof · cited by 2
- CategoryTheory.Precoverage.ZeroHypercover.restrictIndexOfSmall_toPreZeroHypercoverstatement · cited by 1
- CategoryTheory.MorphismProperty.IsLocalAtSource.mk_of_smallproof · cited by 1
- CategoryTheory.Precoverage.ZeroHypercover.Small.mem₀statement · cited by 0
- CategoryTheory.MorphismProperty.of_zeroHypercover_sourceproof · cited by 0
- CategoryTheory.Precoverage.Small.infproof · cited by 0
- CategoryTheory.MorphismProperty.IsLocalAtTarget.mk_of_smallproof · cited by 0