Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.range_fromSpecStalk
∀ {X : AlgebraicGeometry.Scheme} {x : ↥X}, Set.range ⇑(X.fromSpecStalk x) = {y | y ⤳ x}[Stacks Tag 01J7](https://stacks.math.columbia.edu/tag/01J7)
- Defined in
- Mathlib.AlgebraicGeometry.Stalk
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homproof · cited by 32,603
- Set.ofPredstatement and proof · cited by 6,101
- Set.rangestatement and proof · cited by 4,705
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- ContinuousMapstatement · cited by 2,491
- CommRingCatstatement · cited by 2,333
- Set.extproof · cited by 2,266
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
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