Theorems · Theorem · number theory
NumberField.RingOfIntegers.ext
∀ {K : Type u_1} [inst : Field K] {x y : NumberField.RingOfIntegers K}, ↑x = ↑y → x = y- Defined in
- Mathlib.NumberTheory.NumberField.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- NumberField.RingOfIntegersstatement and proof · cited by 413
- NumberField.RingOfIntegers.valstatement and proof · cited by 74
Cited by10
Results whose statement or proof uses this declaration.
- NumberField.RingOfIntegers.ext_iffproof · cited by 8
- NumberField.Units.mem_torsionproof · cited by 2
- NumberField.finite_setOfPred_prod_infinitePlace_iSup_leproof · cited by 2
- IsCyclotomicExtension.Rat.associated_sub_one_of_isPrimitiveRootproof · cited by 1
- IsCyclotomicExtension.Rat.Three.eta_sqproof · cited by 1
- IsCyclotomicExtension.Rat.Three.Units.memproof · cited by 1
- IsPrimitiveRoot.toInteger_sub_one_dvd_primeproof · cited by 1
- RingOfIntegers.dvd_normproof · cited by 1
- NumberField.IsCMField.Units.complexConj_eq_self_iffproof · cited by 0
- IsCyclotomicExtension.Rat.Three.eq_one_or_neg_one_of_unit_of_congruentproof · cited by 0