Theorems · Theorem · category theory
CategoryTheory.Precoverage.galoisConnection_toGrothendieck_toPrecoverage
∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_3, u_2} C],
GaloisConnection CategoryTheory.Precoverage.toGrothendieck CategoryTheory.GrothendieckTopology.toPrecoverage- Cited by
- 6 results in Mathlib
- Foundations
- Depth 63 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.
Cites7
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.GrothendieckTopologystatement and proof · cited by 1,415
- GaloisConnectionstatement · cited by 253
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.toGrothendieckstatement · cited by 41
- CategoryTheory.GrothendieckTopology.toPrecoveragestatement · cited by 12
- CategoryTheory.Precoverage.toGrothendieck_le_iff_le_toPrecoverageproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.le_toPrecoverage_toGrothendieckproof · cited by 1
- CategoryTheory.Precoverage.toGrothendieck_monotoneproof · cited by 1
- CategoryTheory.GrothendieckTopology.toGrothendieck_toPrecoverage_leproof · cited by 0
- CategoryTheory.Precoverage.toGrothendieck_botproof · cited by 0
- CategoryTheory.GrothendieckTopology.toPrecoverage_monotoneproof · cited by 0
- CategoryTheory.GrothendieckTopology.toPrecoverage_topproof · cited by 0