Theorems · Theorem · number theory
NumberField.Units.coe_injective
∀ (K : Type u_1) [inst : Field K], Function.Injective fun x => (algebraMap (NumberField.RingOfIntegers K) K) ↑x
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 152 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.
Cites9
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
- Unitsstatement · cited by 2,804
- Units.valstatement · cited by 1,966
- NumberField.RingOfIntegersstatement · cited by 413
- Units.val_injectiveproof · cited by 17
- NumberField.RingOfIntegers.coe_injectiveproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.unitsComplexConj_torsionproof · cited by 1
- NumberField.Units.dirichletUnitTheorem.unitLattice_inter_ball_finiteproof · cited by 0
- IsPrimitiveRoot.coe_coe_iffproof · cited by 0