Theorems · Theorem · number theory
NumberField.FinitePlace.hasFiniteMulSupport_int
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] {x : NumberField.RingOfIntegers K},
x ≠ 0 → Function.HasFiniteMulSupport fun w => w ↑x- Cited by
- 3 results in Mathlib
- Foundations
- Depth 195 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.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
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- Set.Finiteproof · cited by 1,814
- Ideal.spanproof · cited by 948
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- Set.InjOnproof · cited by 543
- NumberField.RingOfIntegersstatement and proof · cited by 413
- IsDedekindDomain.HeightOneSpectrumproof · cited by 338
- Set.Finite.subsetproof · cited by 285
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.FinitePlace.hasFiniteMulSupportproof · cited by 1
- NumberField.FinitePlace.prod_eq_inv_abs_normproof · cited by 1
- NumberField.FinitePlace.mulSupport_finite_intproof · cited by 0