Theorems · Theorem · number theory
IsPrimitiveRoot.toInteger_cube_eq_one
∀ {K : Type u_1} [inst : Field K] {ζ : K} (hζ : IsPrimitiveRoot ζ 3), hζ.toInteger ^ 3 = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 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.
- Fieldstatement and proof · cited by 7,404
- NumberField.RingOfIntegersstatement · cited by 413
- IsPrimitiveRootstatement and proof · cited by 356
- IsPrimitiveRoot.toIntegerstatement · cited by 72
- IsPrimitiveRoot.pow_eq_oneproof · cited by 48
- IsPrimitiveRoot.toInteger_isPrimitiveRootproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.Three.cube_sub_one_eq_mulproof · cited by 1