Mathlib Map

Theorems · Definition · algebraic geometry

PrimeSpectrum.BasicConstructibleSetData.g

{R : Type u_1} → (self : PrimeSpectrum.BasicConstructibleSetData R) → Fin self.n → R

Given the data of a basic constructible set s = V(g₁, ..., gₙ) \ V(f), return g.

Defined in
Mathlib.RingTheory.Spectrum.Prime.ConstructibleSet
Cited by
13 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms

Around this declaration

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

PrimeSpectrum.BasicConstructibleSetData.map · cited by 9BasicConstructibleSetData…PrimeSpectrum.BasicConstructibleSetData.toSet · cited by 4BasicConstructibleSetData…PrimeSpectrum.ConstructibleSetData.degBound · cited by 3ConstructibleSetData.degB…PrimeSpectrum.ConstructibleSetData.isConstructible_toSet · cited by 2ConstructibleSetData.isCo…ChevalleyThm.chevalley_polynomialC · cited by 2ChevalleyThm.chevalley_po…PrimeSpectrum.exists_constructibleSetData_iff · cited by 2PrimeSpectrum.exists_cons…PrimeSpectrum.BasicConstructibleSetData.ext · cited by 1BasicConstructibleSetData…PrimeSpectrum.BasicConstructibleSetData.map_comp · cited by 1BasicConstructibleSetData…PrimeSpectrum.BasicConstructibleSetData.map_id · cited by 1BasicConstructibleSetData…PrimeSpectrum.BasicConstructibleSetData.toSet_map · cited by 1BasicConstructibleSetData…ChevalleyThm.chevalley_mvPolynomialC · cited by 1ChevalleyThm.chevalley_mv…PrimeSpectrum.isConstructible_comap_C · cited by 1PrimeSpectrum.isConstruct…PrimeSpectrum.exists_range_eq_of_isConstructible · cited by 1PrimeSpectrum.exists_rang…PrimeSpectrum.BasicConstructibleSetData.ext_iff · cited by 0BasicConstructibleSetData…PrimeSpectrum.BasicConstructibleSetData.map_g · cited by 0BasicConstructibleSetData…PrimeSpectrum.BasicConstructibleSetData · cited by 22PrimeSpectrum.BasicConstr…PrimeSpectrum.BasicConstructibleSetData.n · cited by 10BasicConstructibleSetData…BasicConstructibleSetData.gCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by16

Results whose statement or proof uses this declaration.