Theorems · Definition · group theory
AddSubgroup.Commensurable
{G : Type u_1} → [inst : AddGroup G] → AddSubgroup G → AddSubgroup G → PropTwo subgroups H K of G are commensurable if H ⊓ K has finite index in both
H and K.
- Defined in
- Mathlib.GroupTheory.Commensurable
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.relIndexproof · cited by 67
Cited by8
Results whose statement or proof uses this declaration.
- AddSubgroup.Commensurable.reflstatement · cited by 1
- AddSubgroup.Commensurable.symmstatement · cited by 1
- AddSubgroup.Commensurable.transstatement and proof · cited by 1
- AddSubgroup.Commensurable.commstatement · cited by 0
- AddSubgroup.Commensurable.discreteTopology_iffstatement and proof · cited by 0
- AddSubgroup.Commensurable.equivalencestatement and proof · cited by 0
- AddSubgroup.Commensurable.properlyDiscontinuousVAdd_iffstatement and proof · cited by 0
- Subgroup.commensurable_strictPeriods_periodsstatement · cited by 0