Theorems · Theorem · algebraic geometry
PrimeSpectrum.isRetrocompact_zeroLocus_compl_of_fg
∀ {R : Type u} [inst : CommSemiring R] {I : Ideal R}, I.FG → IsRetrocompact (PrimeSpectrum.zeroLocus ↑I)ᶜ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Finsetproof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement and proof · cited by 8,199
- Idealstatement and proof · cited by 4,748
- Compl.complstatement and proof · cited by 2,925
- Ideal.spanproof · cited by 948
- PrimeSpectrumstatement and proof · cited by 625
- Finset.finite_toSetproof · cited by 210
- PrimeSpectrum.zeroLocusstatement · cited by 164
- Ideal.FGstatement and proof · cited by 99
- IsRetrocompactstatement and proof · cited by 43
Cited by1
Results whose statement or proof uses this declaration.
- PrimeSpectrum.isConstructible_comap_imageproof · cited by 3