Theorems · Theorem · category theory
CategoryTheory.Precoverage.toGrothendieck_mono
∀ {C : Type u_3} [inst : CategoryTheory.Category.{u_2, u_3} C] {J K : CategoryTheory.Precoverage C},
J ≤ K → J.toGrothendieck ≤ K.toGrothendieck- Cited by
- 7 results in Mathlib
- Foundations
- Depth 65 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.
Cites5
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 · cited by 1,415
- CategoryTheory.Precoveragestatement and proof · cited by 204
- CategoryTheory.Precoverage.toGrothendieckstatement · cited by 41
- CategoryTheory.Precoverage.toGrothendieck_monotoneproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Precoverage.toGrothendieck_comap_le_restrictedTopologyproof · cited by 2
- AlgebraicGeometry.Scheme.zariskiTopology_le_propQCTopologyproof · cited by 1
- AlgebraicGeometry.Scheme.grothendieckTopology_monotoneproof · cited by 1
- AlgebraicGeometry.Scheme.etaleTopology_le_proetaleTopologyproof · cited by 0
- AlgebraicGeometry.Scheme.proetaleTopology_le_fpqcTopologyproof · cited by 0
- AlgebraicGeometry.Scheme.fppfTopology_le_fpqcTopologyproof · cited by 0
- AlgebraicGeometry.Scheme.zariskiTopology_le_fpqcTopologyproof · cited by 0