Theorems · Theorem · number theory
IsDedekindDomain.FiniteAdeleRing.ext_iff
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDedekindDomain R] {K : Type u_2} [inst_2 : Field K]
[inst_3 : Algebra R K] [inst_4 : IsFractionRing R K] {a₁ a₂ : IsDedekindDomain.FiniteAdeleRing R K},
a₁ = a₂ ↔ ∀ (v : IsDedekindDomain.HeightOneSpectrum R), a₁ v = a₂ v- Cited by
- 0 results in Mathlib
- Foundations
- Depth 187 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
- IsDedekindDomain.HeightOneSpectrum.adicCompletionstatement · cited by 93
- IsDedekindDomain.FiniteAdeleRingstatement and proof · cited by 9
- IsDedekindDomain.FiniteAdeleRing.extproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.