Theorems · Theorem · algebraic geometry

PrimeSpectrum.coe_primesOverOrderIsoFiber_symm_apply_coe

∀ (R : Type u_3) (S : Type u_4) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (p : Ideal R)
  [inst_3 : p.IsPrime] (a : PrimeSpectrum (p.Fiber S)),
  ↑↑((RelIso.symm (PrimeSpectrum.primesOverOrderIsoFiber R S p)) a) = ⇑Algebra.TensorProduct.includeRight ⁻¹' ↑a.asIdeal

Defined in: Mathlib.RingTheory.LocalRing.ResidueField.Fiber
Cited by: 0 results in Mathlib
Foundations: Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing CommRing Algebra Ideal.IsPrime

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TensorProductstatement · cited by 2,545
Ideal.IsPrimestatement and proof · cited by 827

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