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Theorems · Theorem · algebraic geometry

PrimeSpectrum.isConstructible_comap_C

∀ {R : Type u_1} [inst : CommRing R] {s : Set (PrimeSpectrum (Polynomial R))},
  Topology.IsConstructible s → Topology.IsConstructible (PrimeSpectrum.comap Polynomial.C '' s)
Defined in
Mathlib.RingTheory.Spectrum.Prime.Chevalley
Cited by
1 results in Mathlib
Foundations
Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PrimeSpectrum.isConstructible_comap_image · cited by 3PrimeSpectrum.isConstruct…Set · cited by 53352SetCommRing · cited by 17173CommRingTop.top · cited by 9680Top.topPolynomial · cited by 5681PolynomialSet.image · cited by 5609Set.imagePolynomial.C · cited by 1598Polynomial.CPrimeSpectrum · cited by 625PrimeSpectrumPrimeSpectrum.comap · cited by 199PrimeSpectrum.comapSubmodule.mem_top · cited by 58Submodule.mem_topTopology.IsConstructible · cited by 45Topology.IsConstructiblePrimeSpectrum.BasicConstructibleSetData · cited by 22PrimeSpectrum.BasicConstr…PrimeSpectrum.BasicConstructibleSetData.g · cited by 13BasicConstructibleSetData…PrimeSpectrum.BasicConstructibleSetData.n · cited by 10BasicConstructibleSetData…PrimeSpectrum.ConstructibleSetData · cited by 10PrimeSpectrum.Constructib…PrimeSpectrum.ConstructibleSetData.toSet · cited by 8ConstructibleSetData.toSetPrimeSpectrum.isConstructible…CITED BYCITES

Cites19

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Cited by1

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