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Theorems · Definition · algebraic geometry

AlgebraicGeometry.Scheme.GlueData.openCover

(D : AlgebraicGeometry.Scheme.GlueData) → D.glued.OpenCover

The open cover of the glued space given by the glue data.

Defined in
Mathlib.AlgebraicGeometry.Gluing
Cited by
5 results in Mathlib
Foundations
Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AlgebraicGeometry.Scheme.IsLocallyDirected.openCover · cited by 5IsLocallyDirected.openCov…AlgebraicGeometry.Scheme.LocalRepresentability.glueData_openCover_map · cited by 0LocalRepresentability.glu…AlgebraicGeometry.Scheme.Pullback.lift_comp_ι · cited by 0Pullback.lift_comp_ιAlgebraicGeometry.Scheme.GlueData.openCover_I₀ · cited by 0GlueData.openCover_I₀AlgebraicGeometry.Scheme.GlueData.openCover_X · cited by 0GlueData.openCover_XAlgebraicGeometry.Scheme.GlueData.openCover_f · cited by 0GlueData.openCover_fAlgebraicGeometry.Scheme.OpenCover · cited by 207Scheme.OpenCoverCategoryTheory.GlueData.J · cited by 141GlueData.JCategoryTheory.GlueData.U · cited by 121GlueData.UAlgebraicGeometry.Scheme.GlueData.toGlueData · cited by 68GlueData.toGlueDataAlgebraicGeometry.Scheme.GlueData.glued · cited by 53GlueData.gluedAlgebraicGeometry.Scheme.GlueData.ι · cited by 30GlueData.ιAlgebraicGeometry.Scheme.GlueData · cited by 23Scheme.GlueDataGlueData.openCoverCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

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