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Theorems · Definition · algebraic geometry

PrimeSpectrum.ConstructibleSetData.map

{R : Type u_1} →
  {S : Type u_2} →
    [inst : CommSemiring R] →
      [inst_1 : CommSemiring S] →
        (R →+* S) → PrimeSpectrum.ConstructibleSetData R → PrimeSpectrum.ConstructibleSetData S

Given the data of the constructible set s, build the data of the constructible set {I | {x | f x ∈ I} ∈ s}.

Defined in
Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet
Cited by
4 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiringCommSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ChevalleyThm.chevalley_mvPolynomialC · cited by 1ChevalleyThm.chevalley_mv…PrimeSpectrum.ConstructibleSetData.toSet_map · cited by 1ConstructibleSetData.toSe…PrimeSpectrum.ConstructibleSetData.map_comp · cited by 0ConstructibleSetData.map_…PrimeSpectrum.ConstructibleSetData.map_id · cited by 0ConstructibleSetData.map_…CommSemiring · cited by 10911CommSemiringRingHom · cited by 10189RingHomFinset.image · cited by 910Finset.imagePrimeSpectrum.ConstructibleSetData · cited by 10PrimeSpectrum.Constructib…PrimeSpectrum.BasicConstructibleSetData.map · cited by 9BasicConstructibleSetData…ConstructibleSetData.mapCITED BYCITES

Cites5

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Cited by4

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