Theorems · Theorem · category theory
CategoryTheory.Pretopology.toGrothendieck_toCoverage
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C]
(J : CategoryTheory.Pretopology C), J.toCoverage.toGrothendieck = J.toGrothendieck- Defined in
- Mathlib.CategoryTheory.Sites.Coverage
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Set.extproof · cited by 2,266
- CategoryTheory.GrothendieckTopologystatement · cited by 1,415
- CategoryTheory.Sieveproof · cited by 552
- CategoryTheory.Presieveproof · cited by 449
- CategoryTheory.Sieve.arrowsproof · cited by 446
- CategoryTheory.Limits.HasPullbacksstatement and proof · cited by 439
- le_topproof · cited by 411
Cited by1
Results whose statement or proof uses this declaration.