Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Cover.sigma_X
∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} {S : AlgebraicGeometry.Scheme}
[inst : AlgebraicGeometry.IsZariskiLocalAtSource P] [inst_1 : UnivLE.{v, u}]
(𝒰 : AlgebraicGeometry.Scheme.Cover (AlgebraicGeometry.Scheme.precoverage P) S) (x : PUnit.{v + 1}),
𝒰.sigma.X x = ∐ 𝒰.X- Defined in
- Mathlib.AlgebraicGeometry.Cover.Sigma
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- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.PreZeroHypercover.I₀statement · cited by 763
- CategoryTheory.PreZeroHypercover.Xstatement and proof · cited by 649
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.precoveragestatement and proof · cited by 336
- CategoryTheory.Limits.sigmaObjstatement · cited by 302
- AlgebraicGeometry.Scheme.Coverstatement and proof · cited by 88
- UnivLEstatement and proof · cited by 38
- AlgebraicGeometry.IsZariskiLocalAtSourcestatement and proof · cited by 37
- AlgebraicGeometry.Scheme.Cover.sigmastatement and proof · cited by 12
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