Theorems · Theorem · number theory
IsPrimitiveRoot.coe_coe_iff
∀ {K : Type u_1} [inst : Field K] {ν : (NumberField.RingOfIntegers K)ˣ} {n : ℕ},
IsPrimitiveRoot ((algebraMap (NumberField.RingOfIntegers K) K) ↑ν) n ↔ IsPrimitiveRoot ν n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites10
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 and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- NumberField.RingOfIntegersstatement and proof · cited by 413
- IsPrimitiveRootstatement · cited by 356
- NumberField.Units.coe_injectiveproof · cited by 3
- IsPrimitiveRoot.map_iff_of_injectiveproof · cited by 2
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