Theorems · Theorem · group theory
AddSubgroup.relIndex_eq_one
∀ {G : Type u_1} [inst : AddGroup G] {H K : AddSubgroup G}, H.relIndex K = 1 ↔ K ≤ H- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 96 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.
Cites5
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.relIndexstatement · cited by 67
- AddSubgroup.index_eq_oneproof · cited by 4
- AddSubgroup.addSubgroupOf_eq_topproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.card_eq_oneproof · cited by 1
- Subgroup.commensurable_strictPeriods_periodsproof · cited by 0
- AddSubgroup.index_strictAntiproof · cited by 0