Theorems · Theorem · number theory
NumberField.FinitePlace.mk_eq_iff
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K]
{v₁ v₂ : IsDedekindDomain.HeightOneSpectrum (NumberField.RingOfIntegers K)},
NumberField.FinitePlace.mk v₁ = NumberField.FinitePlace.mk v₂ ↔ v₁ = v₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realproof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Norm.normproof · cited by 5,413
- Algebra.algebraMapproof · cited by 4,706
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement and proof · cited by 413
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
- neg_eq_zeroproof · cited by 171
- IsDedekindDomain.HeightOneSpectrum.asIdealproof · cited by 156
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.FinitePlace.maximalIdeal_mkproof · cited by 0