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Theorems · Theorem · number theory

IsPrimitiveRoot.one_right_iff

∀ {M : Type u_1} [inst : CommMonoid M] {ζ : M}, IsPrimitiveRoot ζ 1 ↔ ζ = 1
Defined in
Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots
Cited by
2 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext
Assumes
CommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsPrimitiveRoot.norm_eq_one · cited by 3IsPrimitiveRoot.norm_eq_o…IsPrimitiveRoot.primitiveRoots_one · cited by 2IsPrimitiveRoot.primitive…CommMonoid · cited by 2264CommMonoidpow_one · cited by 894pow_oneIsPrimitiveRoot · cited by 356IsPrimitiveRootIsPrimitiveRoot.pow_eq_one · cited by 48IsPrimitiveRoot.pow_eq_oneIsPrimitiveRoot.one · cited by 4IsPrimitiveRoot.oneIsPrimitiveRoot.one_right_iffCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.