Theorems · Definition · category theory
CategoryTheory.coherentCoverage
(C : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} C] → [CategoryTheory.Precoherent C] → CategoryTheory.Coverage CThe coherent coverage on a precoherent category C.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Quiver.Homproof · cited by 32,603
- Set.ofPredproof · cited by 6,101
- Finiteproof · cited by 3,029
- CategoryTheory.Presieveproof · cited by 449
- CategoryTheory.Presieve.ofArrowsproof · cited by 150
- CategoryTheory.EffectiveEpiFamilyproof · cited by 34
- CategoryTheory.Coveragestatement · cited by 31
- CategoryTheory.Precoherentstatement and proof · cited by 26
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.coherentTopologyproof · cited by 141
- CategoryTheory.coherentTopology.mem_sieves_iff_hasEffectiveEpiFamilyproof · cited by 3
- CategoryTheory.extensive_regular_generate_coherentproof · cited by 2
- CategoryTheory.coherentTopology.mem_sieves_of_hasEffectiveEpiFamilyproof · cited by 2
- CategoryTheory.EffectiveEpiFamily.transitive_of_finiteproof · cited by 1
- CategoryTheory.isSheaf_coherentproof · cited by 1
- CategoryTheory.coherentCoverage.congr_simpstatement and proof · cited by 0