Theorems · Theorem · number theory
NumberField.RingOfIntegers.coe_eq_algebraMap
∀ {K : Type u_1} [inst : Field K] (x : NumberField.RingOfIntegers K),
↑x = (algebraMap (NumberField.RingOfIntegers K) K) x- Defined in
- Mathlib.NumberTheory.NumberField.Basic
- Cited by
- 4 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement · cited by 4,706
- NumberField.RingOfIntegersstatement and proof · cited by 413
- NumberField.RingOfIntegers.valstatement · cited by 74
Cited by4
Results whose statement or proof uses this declaration.
- NumberField.Units.mem_torsionproof · cited by 2
- RingOfIntegers.norm_algebraMapproof · cited by 1
- NumberField.mixedEmbedding.unit_smul_eq_iff_mul_eqproof · cited by 0