Theorems · Theorem · algebraic geometry

PrimeSpectrum.coe_preimageOrderIsoFiber_symm_apply_coe_asIdeal

∀ (R : Type u_1) (S : Type u_2) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] (p : PrimeSpectrum R)
  (q : PrimeSpectrum (p.asIdeal.Fiber S)),
  ↑(↑((RelIso.symm (PrimeSpectrum.preimageOrderIsoFiber R S p)) q)).asIdeal =
    ⇑Algebra.TensorProduct.includeRight ⁻¹' ↑q.asIdeal

Defined in: Mathlib.RingTheory.LocalRing.ResidueField.Fiber
Cited by: 0 results in Mathlib
Foundations: Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing CommRing Algebra

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TensorProductstatement · cited by 2,545

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