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Theorems · Theorem · number theory

primitiveRoots.congr_simp

∀ (k k_1 : ℕ),
  k = k_1 → ∀ (R : Type u_7) [inst : CommRing R] [inst_1 : IsDomain R], primitiveRoots k R = primitiveRoots k_1 R
Defined in
Mathlib.RingTheory.RootsOfUnity.PrimitiveRoots
Cited by
4 results in Mathlib
Foundations
Depth 132 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingIsDomain
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Around this declaration

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

IsPrimitiveRoot.card_primitiveRoots · cited by 4IsPrimitiveRoot.card_prim…isPrimitiveRoot_of_mem_primitiveRoots · cited by 3isPrimitiveRoot_of_mem_pr…Complex.card_primitiveRoots · cited by 2Complex.card_primitiveRoo…IsPrimitiveRoot.is_roots_of_minpoly · cited by 1IsPrimitiveRoot.is_roots_…CommRing · cited by 17173CommRingFinset · cited by 13712FinsetIsDomain · cited by 2196IsDomainprimitiveRoots · cited by 57primitiveRootsprimitiveRoots.congr_simpCITED BYCITES

Cites4

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Cited by4

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