Theorems · Definition · number theory
Rat.ringOfIntegersEquiv
NumberField.RingOfIntegers ℚ ≃+* ℤ
The ring of integers of ℚ as a number field is just ℤ.
- Defined in
- Mathlib.NumberTheory.NumberField.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- RingEquivstatement · cited by 1,147
- NumberField.RingOfIntegersstatement · cited by 413
- NumberField.RingOfIntegers.equivproof · cited by 0
Cited by7
Results whose statement or proof uses this declaration.
- Rat.IsIntegralClosure.intEquivproof · cited by 6
- Rat.numberField_discrproof · cited by 2
- Rat.RingOfIntegers.isUnit_iffproof · cited by 1
- Rat.ringOfIntegersEquiv_apply_coestatement and proof · cited by 0
- Rat.ringOfIntegersEquiv_symm_apply_coestatement and proof · cited by 0
- Rat.classNumber_eqproof · cited by 0
- Rat.IsIntegralClosure.intEquiv_apply_eq_ringOfIntegersEquivstatement and proof · cited by 0