Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.Hom.cover_X
∀ {P : CategoryTheory.MorphismProperty AlgebraicGeometry.Scheme} {X S : AlgebraicGeometry.Scheme} (f : X ⟶ S) (hf : P f)
[inst : AlgebraicGeometry.Surjective f] (x : PUnit.{v + 1}), (AlgebraicGeometry.Scheme.Hom.cover f hf).X x = X- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AlgebraicGeometry.Surjective
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.PreZeroHypercover.Xstatement and proof · cited by 649
- CategoryTheory.Precoverage.ZeroHypercover.toPreZeroHypercoverstatement and proof · cited by 469
- AlgebraicGeometry.Scheme.precoveragestatement · cited by 336
- AlgebraicGeometry.Surjectivestatement and proof · cited by 48
- AlgebraicGeometry.Scheme.Hom.coverstatement and proof · cited by 8
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