Theorems · Theorem · algebraic geometry
AlgebraicGeometry.affine_isReduced_iff
∀ (R : CommRingCat), AlgebraicGeometry.IsReduced (AlgebraicGeometry.Spec R) ↔ IsReduced ↑R
- Defined in
- Mathlib.AlgebraicGeometry.Properties
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Iso.invproof · cited by 6,514
- CommRingCatstatement and proof · cited by 2,333
- CommRingCat.carrierstatement and proof · cited by 1,096
- CategoryTheory.Iso.symmproof · cited by 993
- AlgebraicGeometry.Specstatement and proof · cited by 626
- CommRingCat.Hom.homproof · cited by 432
- AlgebraicGeometry.Scheme.ΓSpecIsoproof · cited by 106
- IsReducedstatement and proof · cited by 98
- CategoryTheory.Iso.commRingCatIsoToRingEquivproof · cited by 44
- RingEquiv.injectiveproof · cited by 39
- AlgebraicGeometry.IsReducedstatement and proof · cited by 38
- isReduced_of_injectiveproof · cited by 7
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