Theorems · Theorem · algebraic geometry
AlgebraicGeometry.Scheme.germToFunctionField.congr_simp
∀ (X : AlgebraicGeometry.Scheme) [inst : IrreducibleSpace ↥X] (U : X.Opens) [h : Nonempty ↥↑U], X.germToFunctionField U = X.germToFunctionField U
- Defined in
- Mathlib.AlgebraicGeometry.FunctionField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IrreducibleSpaceNonempty
Around this declaration
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- TopCat.carrierstatement and proof · cited by 3,184
- AlgebraicGeometry.Schemestatement and proof · cited by 2,540
- CommRingCatstatement · cited by 2,333
- TopologicalSpace.Opensstatement · cited by 2,040
- AlgebraicGeometry.PresheafedSpace.carrierstatement and proof · cited by 2,020
- AlgebraicGeometry.SheafedSpace.toPresheafedSpacestatement and proof · cited by 1,988
- AlgebraicGeometry.LocallyRingedSpace.toSheafedSpacestatement and proof · cited by 1,892
- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- AlgebraicGeometry.Scheme.Opensstatement and proof · cited by 1,149
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