Theorems · Theorem · commutative algebra
IsDedekindDomain.HeightOneSpectrum.ext
∀ {R : Type u_1} {inst : CommRing R} {x y : IsDedekindDomain.HeightOneSpectrum R}, x.asIdeal = y.asIdeal → x = y- Cited by
- 7 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Idealstatement and proof · cited by 4,748
- Bot.botproof · cited by 4,720
- Ideal.IsPrimeproof · cited by 827
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
- IsDedekindDomain.HeightOneSpectrum.asIdealstatement and proof · cited by 156
Cited by7
Results whose statement or proof uses this declaration.
- Ideal.finite_factorsproof · cited by 7
- IsDedekindDomain.HeightOneSpectrum.ext_iffproof · cited by 2
- IsDedekindDomain.exists_sup_span_eqproof · cited by 2
- Ideal.finprod_not_dvdproof · cited by 1
- IsDedekindDomain.HeightOneSpectrum.asIdeal_injectiveproof · cited by 1
- Ring.HasFiniteQuotients.finite_cardQuot_heightOneSpectrum_leproof · cited by 1
- IsDedekindDomain.HeightOneSpectrum.asIdeal_injproof · cited by 0