Theorems · Theorem · algebraic geometry
PrimeSpectrum.comap_quotientMk_bijective_of_le_nilradical
∀ {R : Type u} [inst : CommRing R] {I : Ideal R},
I ≤ nilradical R → Function.Bijective (PrimeSpectrum.comap (Ideal.Quotient.mk I))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- SetLike.coeproof · cited by 8,199
- Idealstatement and proof · cited by 4,748
- Set.univproof · cited by 3,945
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Function.Bijectivestatement · cited by 863
- PrimeSpectrumstatement · cited by 625
- Ideal.Quotient.mkstatement and proof · cited by 610
- PrimeSpectrum.comapstatement · cited by 199
- PrimeSpectrum.zeroLocusproof · cited by 164
- Ideal.Quotient.mk_surjectiveproof · cited by 134
- Ideal.mk_kerproof · cited by 59
Cited by1
Results whose statement or proof uses this declaration.
- PrimeSpectrum.isHomeomorph_comapproof · cited by 1