Theorems · Definition · category theory
CategoryTheory.Precoverage.ZeroHypercover.Small.recOn
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{J : CategoryTheory.Precoverage C} →
{S : C} →
{E : J.ZeroHypercover S} →
{motive : E.Small → Sort u_1} →
(t : E.Small) →
((exists_restrictIndex_mem : ∃ ι f, (E.restrictIndex f).presieve₀ ∈ J.coverings S) → motive ⋯) → motive t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
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 and proof · cited by 763
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- CategoryTheory.Presievestatement · cited by 449
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.coveringsstatement and proof · cited by 194
- CategoryTheory.Precoverage.ZeroHypercoverstatement and proof · cited by 81
- CategoryTheory.PreZeroHypercover.presieve₀statement and proof · cited by 70
- CategoryTheory.PreZeroHypercover.restrictIndexstatement and proof · cited by 11
- CategoryTheory.Precoverage.ZeroHypercover.Smallstatement and proof · cited by 7
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