Theorems · Definition · number theory
restrictRootsOfUnity
{R : Type u_4} →
{S : Type u_5} →
{F : Type u_6} →
[inst : CommMonoid R] →
[inst_1 : CommMonoid S] →
[inst_2 : FunLike F R S] → [MonoidHomClass F R S] → F → (n : ℕ) → ↥(rootsOfUnity n R) →* ↥(rootsOfUnity n S)Restrict a ring homomorphism to the nth roots of unity.
- Defined in
- Mathlib.RingTheory.RootsOfUnity.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 29 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.coeproof · 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
- MonoidHomClass.toMonoidHomproof · cited by 294
- MonoidHomClassstatement and proof · cited by 244
- rootsOfUnitystatement and proof · cited by 118
- Units.mapproof · cited by 95
Cited by5
Results whose statement or proof uses this declaration.
- rootsOfUnityCircleEquivproof · cited by 5
- MulEquiv.restrictRootsOfUnityproof · cited by 3
- map_rootsOfUnity_eq_pow_selfproof · cited by 3
- restrictRootsOfUnity_coe_applystatement · cited by 1
- restrictRootsOfUnity.congr_simpstatement and proof · cited by 0