Theorems · Theorem · number theory
IsPrimitiveRoot.injOn_pow
∀ {M : Type u_1} [inst : CommMonoid M] {n : ℕ} {ζ : M},
IsPrimitiveRoot ζ n → Set.InjOn (fun x => ζ ^ x) ↑(Finset.range n)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- CommMonoidstatement and proof · cited by 2,264
- Finset.rangestatement and proof · cited by 1,341
- Set.InjOnstatement · cited by 543
- IsPrimitiveRootstatement and proof · cited by 356
- Set.mem_Iioproof · cited by 49
- Finset.coe_rangeproof · cited by 33
- IsPrimitiveRoot.pow_injproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.injOn_pow_mulproof · cited by 3