Theorems · Theorem · number theory
restrictRootsOfUnity_coe_apply
∀ {R : Type u_4} {S : Type u_5} {F : Type u_6} {k : ℕ} [inst : CommMonoid R] [inst_1 : CommMonoid S]
[inst_2 : FunLike F R S] [inst_3 : MonoidHomClass F R S] (σ : F) (ζ : ↥(rootsOfUnity k R)),
↑↑((restrictRootsOfUnity σ k) ζ) = σ ↑↑ζ- Defined in
- Mathlib.RingTheory.RootsOfUnity.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext
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.
- DFunLike.coestatement · cited by 62,936
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Unitsstatement and proof · cited by 2,804
- FunLikestatement and proof · cited by 2,560
- CommMonoidstatement and proof · cited by 2,264
- Units.valstatement · cited by 1,966
- MonoidHomClassstatement and proof · cited by 244
- rootsOfUnitystatement and proof · cited by 118
- restrictRootsOfUnitystatement · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- map_rootsOfUnity_eq_pow_selfproof · cited by 3