Theorems · Theorem · algebraic geometry
AlgebraicGeometry.pointsPi_injective
∀ {ι : Type u} (R : ι → CommRingCat) (X : AlgebraicGeometry.Scheme) [QuasiSeparatedSpace ↥X],
Function.Injective (AlgebraicGeometry.pointsPi R X)- Defined in
- Mathlib.AlgebraicGeometry.PointsPi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- QuasiSeparatedSpace
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Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- AlgebraicGeometry.Scheme.toLocallyRingedSpacestatement and proof · cited by 1,734
- CategoryTheory.IsIsoproof · cited by 1,156
- CommRingCat.carrierstatement and proof · cited by 1,096
- AlgebraicGeometry.Specstatement and proof · cited by 626
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