Theorems · Theorem · group theory
IsCyclic.index_powMonoidHom_range
∀ (G : Type u_2) [inst : CommGroup G] [IsCyclic G] [Finite G] (d : ℕ), (powMonoidHom d).range.index = (Nat.card G).gcd d
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- CommGroupstatement and proof · cited by 990
- Nat.cardstatement and proof · cited by 844
- MonoidHom.rangestatement · cited by 314
- Subgroup.indexstatement · cited by 150
- IsCyclicstatement and proof · cited by 122
- powMonoidHomstatement · cited by 35
- Subgroup.index_rangeproof · cited by 1
- IsCyclic.card_powMonoidHom_kerproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- NumberField.IsCMField.indexRealUnits_mul_eqproof · cited by 2
- NumberField.IsCMField.index_unitsMulComplexConjInv_range_dvdproof · cited by 1