Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Cover.coconeOfLocallyDirected_pt
∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} {X : AlgebraicGeometry.Scheme}
(𝒰 : AlgebraicGeometry.Scheme.Cover (AlgebraicGeometry.Scheme.precoverage P) X)
[inst : CategoryTheory.Category.{v_1, u_1} 𝒰.I₀] [inst_1 : 𝒰.LocallyDirected], 𝒰.coconeOfLocallyDirected.pt = X- Defined in
- Mathlib.AlgebraicGeometry.Cover.Directed
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- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Limits.Cocone.ptstatement and proof · cited by 1,354
- CategoryTheory.PreZeroHypercover.I₀statement and proof · cited by 763
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.precoveragestatement and proof · cited by 336
- AlgebraicGeometry.Scheme.Coverstatement and proof · cited by 88
- AlgebraicGeometry.Scheme.Cover.LocallyDirectedstatement and proof · cited by 63
- AlgebraicGeometry.Scheme.Cover.functorOfLocallyDirectedstatement · cited by 14
- AlgebraicGeometry.Scheme.Cover.coconeOfLocallyDirectedstatement and proof · cited by 2
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