Theorems · Theorem · category theory
CategoryTheory.Precoverage.ZeroHypercover.Small.exists_restrictIndex_mem
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {J : CategoryTheory.Precoverage C} {S : C}
(E : J.ZeroHypercover S) [self : E.Small], ∃ ι f, (E.restrictIndex f).presieve₀ ∈ J.coverings S- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.PreZeroHypercover.I₀statement · cited by 763
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement · cited by 469
- CategoryTheory.Presievestatement · cited by 449
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.coveringsstatement · cited by 194
- CategoryTheory.Precoverage.ZeroHypercoverstatement and proof · cited by 81
- CategoryTheory.PreZeroHypercover.presieve₀statement · cited by 70
- CategoryTheory.PreZeroHypercover.restrictIndexstatement · cited by 11
- CategoryTheory.Precoverage.ZeroHypercover.Smallstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.ZeroHypercover.Small.Indexproof · cited by 4
- CategoryTheory.Precoverage.ZeroHypercover.Small.mem₀proof · cited by 0