Theorems · Theorem · algebraic geometry
PrimeSpectrum.toPiLocalization_surjective_of_discreteTopology
∀ (R : Type u) [inst : CommSemiring R] [DiscreteTopology (PrimeSpectrum R)], Function.Surjective ⇑(PrimeSpectrum.toPiLocalization R)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringDiscreteTopology
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites53
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- CommSemiringstatement and proof · cited by 10,911
- Top.topproof · cited by 9,680
- Equivproof · cited by 8,337
- SetLike.coeproof · cited by 8,199
- Set.Elemproof · cited by 7,166
- Bot.botproof · cited by 4,720
- Algebra.algebraMapproof · cited by 4,706
- Set.rangeproof · cited by 4,705
- Equiv.symmproof · cited by 3,681
- AlgHomstatement · cited by 3,236
Cited by2
Results whose statement or proof uses this declaration.
- PrimeSpectrum.discreteTopology_iff_toPiLocalization_surjectiveproof · cited by 1