Theorems · Theorem · algebraic geometry
PrimeSpectrum.exists_constructibleSetData_iff
∀ {R : Type u_1} [inst : CommSemiring R] {s : Set (PrimeSpectrum R)}, (∃ S, S.toSet = s) ↔ Topology.IsConstructible s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 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.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coeproof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- Finiteproof · cited by 3,029
- Compl.complproof · cited by 2,925
- Set.iUnionproof · cited by 2,483
- Set.extproof · cited by 2,266
- Set.Finiteproof · cited by 1,814
Cited by2
Results whose statement or proof uses this declaration.
- PrimeSpectrum.isConstructible_comap_Cproof · cited by 1
- PrimeSpectrum.exists_range_eq_of_isConstructibleproof · cited by 1