Theorems · Theorem · commutative algebra
MaximalSpectrum.mapPiLocalization_id
∀ {R : Type u_1} [inst : CommSemiring R],
MaximalSpectrum.mapPiLocalization (RingHom.id R) ⋯ = RingHom.id (MaximalSpectrum.PiLocalization R)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement and proof · cited by 18,349
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- Ideal.primeComplstatement · cited by 462
- Ideal.comapproof · cited by 443
- RingHom.extproof · cited by 331
- Localization.AtPrimestatement and proof · cited by 299
- MaximalSpectrumstatement and proof · cited by 73
- MaximalSpectrum.asIdealstatement and proof · cited by 58
- Pi.evalRingHomproof · cited by 44
- Function.bijective_idstatement and proof · cited by 36
Cited by1
Results whose statement or proof uses this declaration.
- MaximalSpectrum.mapPiLocalization_bijectiveproof · cited by 1