Theorems · Definition · category theory
CategoryTheory.Precoverage.toCoverage
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
(J : CategoryTheory.Precoverage C) → [J.HasPullbacks] → [J.IsStableUnderBaseChange] → CategoryTheory.Coverage CA precoverage with pullbacks defines a coverage.
- Defined in
- Mathlib.CategoryTheory.Sites.Coverage
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 36 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
- CategoryTheory.Presieveproof · cited by 449
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.coveringsproof · cited by 194
- CategoryTheory.Precoverage.IsStableUnderBaseChangestatement and proof · cited by 40
- CategoryTheory.Coveragestatement · cited by 31
- CategoryTheory.Precoverage.HasPullbacksstatement and proof · cited by 28
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.over_toGrothendieck_eq_toGrothendieck_comap_forgetproof · cited by 3
- CategoryTheory.Precoverage.toCoverage_toPrecoveragestatement and proof · cited by 1
- CategoryTheory.Precoverage.toGrothendieck_toCoveragestatement · cited by 1
- CategoryTheory.Precoverage.toCoverage_le_toCoveragestatement · cited by 0
- CategoryTheory.Precoverage.toCoverage.congr_simpstatement and proof · cited by 0