Theorems · Theorem · number theory
NumberField.FinitePlace.maximalIdeal_injective
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K], Function.Injective fun w => w.maximalIdeal- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- NumberFieldstatement and proof · cited by 653
- Equiv.injectiveproof · cited by 464
- NumberField.RingOfIntegersstatement · cited by 413
- IsDedekindDomain.HeightOneSpectrumstatement · cited by 338
- NumberField.FinitePlacestatement · cited by 35
- NumberField.FinitePlace.maximalIdealstatement · cited by 10
- NumberField.FinitePlace.equivHeightOneSpectrumproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.FinitePlace.hasFiniteMulSupport_intproof · cited by 3
- NumberField.FinitePlace.hasFiniteMulSupport_fun_pow_multiplicityproof · cited by 0