Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Cover.RelativeGluingData.equifibered
∀ {S : AlgebraicGeometry.Scheme} {𝒰 : S.OpenCover} [inst : CategoryTheory.Category.{u_2, u_1} 𝒰.I₀]
[inst_1 : AlgebraicGeometry.Scheme.Cover.LocallyDirected 𝒰]
(self : AlgebraicGeometry.Scheme.Cover.RelativeGluingData 𝒰), CategoryTheory.NatTrans.Equifibered self.natTrans- Defined in
- Mathlib.AlgebraicGeometry.RelativeGluing
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.PreZeroHypercover.I₀statement and proof · cited by 763
- AlgebraicGeometry.IsOpenImmersionstatement · cited by 476
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.precoveragestatement · cited by 336
- AlgebraicGeometry.Scheme.OpenCoverstatement and proof · cited by 207
- AlgebraicGeometry.Scheme.Cover.LocallyDirectedstatement and proof · cited by 63
- CategoryTheory.NatTrans.Equifiberedstatement · cited by 41
- AlgebraicGeometry.Scheme.Cover.RelativeGluingData.functorstatement · cited by 18
- AlgebraicGeometry.Scheme.Cover.functorOfLocallyDirectedstatement · cited by 14
- AlgebraicGeometry.Scheme.Cover.RelativeGluingDatastatement and proof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.