Theorems · Theorem · number theory
NumberField.RingOfIntegers.ext_iff
∀ {K : Type u_1} [inst : Field K] {x y : NumberField.RingOfIntegers K}, x = y ↔ ↑x = ↑y- Defined in
- Mathlib.NumberTheory.NumberField.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 151 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.
Cites4
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
- NumberField.RingOfIntegers.extproof · cited by 10
Cited by8
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.finite_quotient_span_sub_oneproof · cited by 1
- IsPrimitiveRoot.finite_quotient_toInteger_sub_oneproof · cited by 1
- RingOfIntegers.norm_algebraMapproof · cited by 1
- RingOfIntegers.norm_normproof · cited by 1
- NumberField.RingOfIntegers.eq_iffproof · cited by 0
- NumberField.IsCMField.ringOfIntegersComplexConj_eq_self_iffproof · cited by 0
- NumberField.mixedEmbedding.unit_smul_eq_iff_mul_eqproof · cited by 0