Theorems · Theorem · category theory
CategoryTheory.Precoverage.le_toPrecoverage_toGrothendieck
∀ {C : Type u_3} [inst : CategoryTheory.Category.{u_2, u_3} C] (J : CategoryTheory.Precoverage C),
J ≤ J.toGrothendieck.toPrecoverage- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- CategoryTheory.Precoveragestatement and proof · cited by 204
- GaloisConnection.le_u_lproof · cited by 52
- CategoryTheory.Precoverage.toGrothendieckstatement · cited by 41
- CategoryTheory.GrothendieckTopology.toPrecoveragestatement · cited by 12
- CategoryTheory.Precoverage.galoisConnection_toGrothendieck_toPrecoverageproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.toGrothendieck_comap_le_restrictedTopologyproof · cited by 2