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Theorems · Definition · category theory

CategoryTheory.Coverage.gi

(C : Type u_1) →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    GaloisInsertion CategoryTheory.Coverage.toGrothendieck CategoryTheory.GrothendieckTopology.toCoverage

The two constructions Coverage.toGrothendieck and Coverage.ofGrothendieck form a Galois insertion.

Defined in
Mathlib.CategoryTheory.Sites.Coverage
Cited by
2 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Presieve.isSheaf_sup · cited by 1Presieve.isSheaf_supCategoryTheory.coherentTopology.presheafIsLocallySurjective_iff · cited by 1coherentTopology.presheaf…DFunLike.coe · cited by 62936DFunLike.coeCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.GrothendieckTopology · cited by 1415CategoryTheory.Grothendie…CategoryTheory.Sieve · cited by 552CategoryTheory.SieveGaloisInsertion · cited by 35GaloisInsertionCategoryTheory.Coverage · cited by 31CategoryTheory.CoverageCategoryTheory.Coverage.toGrothendieck · cited by 15Coverage.toGrothendieckCategoryTheory.GrothendieckTopology.toCoverage · cited by 3GrothendieckTopology.toCo…Coverage.giCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.