Theorems · Theorem · algebraic geometry
PrimeSpectrum.exists_comap_evalRingHom_eq
∀ {ι : Type u_3} {R : ι → Type u_4} [inst : (i : ι) → CommRing (R i)] [Finite ι] (p : PrimeSpectrum ((i : ι) → R i)),
∃ i q, PrimeSpectrum.comap (Pi.evalRingHom R i) q = p- Cited by
- 3 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypeproof · cited by 7,736
- Submoduleproof · cited by 7,192
- Idealproof · cited by 4,748
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- Finitestatement and proof · cited by 3,029
- Finset.prodproof · cited by 2,356
- MulZeroClass.mul_zeroproof · cited by 2,091
- Ideal.mapproof · cited by 692
- PrimeSpectrumstatement and proof · cited by 625
Cited by3
Results whose statement or proof uses this declaration.
- PrimeSpectrum.iUnion_range_comap_comp_evalRingHomproof · cited by 1
- Algebra.IsFiniteSplit.bijective_algebraMap_quotientproof · cited by 0
- PrimeSpectrum.sigmaToPi_bijectiveproof · cited by 0