Theorems · Definition · category theory
CategoryTheory.regularCoverage
(C : Type u_1) →
[inst : CategoryTheory.Category.{v_1, u_1} C] → [CategoryTheory.Preregular C] → CategoryTheory.Coverage CThe regular coverage on a regular category C.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Presieveproof · cited by 449
- CategoryTheory.Presieve.ofArrowsproof · cited by 150
- CategoryTheory.EffectiveEpiproof · cited by 86
- CategoryTheory.Preregularstatement and proof · cited by 52
- CategoryTheory.Coveragestatement · cited by 31
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.regularTopologyproof · cited by 26
- CategoryTheory.regularTopology.mem_sieves_iff_hasEffectiveEpiproof · cited by 4
- CategoryTheory.Presheaf.isSheaf_coherent_iff_regular_and_extensiveproof · cited by 2
- CategoryTheory.extensive_regular_generate_coherentstatement and proof · cited by 2
- CategoryTheory.regularTopology.equalizerCondition_iff_isSheafproof · cited by 1
- CategoryTheory.regularTopology.isSheaf_of_projectiveproof · cited by 1
- CategoryTheory.regularTopology.mem_sieves_of_hasEffectiveEpiproof · cited by 1
- CategoryTheory.coherentTopology.presheafIsLocallySurjective_iffproof · cited by 1
- CategoryTheory.regularCoverage.congr_simpstatement and proof · cited by 0
- CategoryTheory.regularTopology.isSheaf_yoneda_objproof · cited by 0