Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.precoverage_mono
∀ {P Q : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme},
P ≤ Q → AlgebraicGeometry.Scheme.precoverage P ≤ AlgebraicGeometry.Scheme.precoverage Q- Cited by
- 7 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- le_reflproof · cited by 2,061
- le_imp_le_of_le_of_leproof · cited by 576
- AlgebraicGeometry.Scheme.precoveragestatement and proof · cited by 336
- CategoryTheory.Precoveragestatement and proof · cited by 204
- inf_le_infproof · cited by 54
- CategoryTheory.MorphismProperty.precoverageproof · cited by 23
- CategoryTheory.MorphismProperty.precoverage_monotoneproof · cited by 2
- AlgebraicGeometry.Scheme.jointlySurjectivePrecoverageproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- AlgebraicGeometry.Scheme.fppfPrecoverage_le_fpqcPrecoverageproof · cited by 2
- AlgebraicGeometry.Scheme.etalePrecoverage_le_proetalePrecoverageproof · cited by 1
- AlgebraicGeometry.Scheme.grothendieckTopology_monotoneproof · cited by 1
- AlgebraicGeometry.Scheme.propQCPrecoverage_monotoneproof · cited by 1
- AlgebraicGeometry.Scheme.zariskiPrecoverage_le_propQCPrecoverageproof · cited by 1
- AlgebraicGeometry.Scheme.zariskiPrecoverage_le_fppfPrecoverageproof · cited by 1
- AlgebraicGeometry.Scheme.pretopology_monotoneproof · cited by 0