Theorems · Theorem · number theory
IsPrimitiveRoot.of_map_of_injective
∀ {M : Type u_1} {N : Type u_2} {F : Type u_6} [inst : CommMonoid M] [inst_1 : CommMonoid N] {k : ℕ} {ζ : M} {f : F}
[inst_2 : FunLike F M N] [MonoidHomClass F M N], IsPrimitiveRoot (f ζ) k → Function.Injective ⇑f → IsPrimitiveRoot ζ k- Cited by
- 2 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- CommMonoidstatement and proof · cited by 2,264
- map_oneproof · cited by 861
- DFunLikeproof · cited by 576
- map_powproof · cited by 503
- IsPrimitiveRootstatement and proof · cited by 356
- MonoidHomClassstatement and proof · cited by 244
- IsPrimitiveRoot.pow_eq_oneproof · cited by 48
- orderOf_dvd_of_pow_eq_oneproof · cited by 24
- IsPrimitiveRoot.eq_orderOfproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- IsPrimitiveRoot.toInteger_isPrimitiveRootproof · cited by 15
- IsPrimitiveRoot.map_iff_of_injectiveproof · cited by 2