Theorems · Definition · group theory
IsCyclic.commGroup
{α : Type u_1} → [inst : Group α] → [IsCyclic α] → CommGroup αA cyclic group is always commutative. This is not an instance because often we have a better
proof of CommGroup.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by2
Results whose statement or proof uses this declaration.
- Group.isCyclic_prod_iffproof · cited by 2
- coprime_card_of_isCyclic_prodproof · cited by 1