Theorems · Theorem · group theory
AddSubgroup.relIndex_sup_right
∀ {G : Type u_1} [inst : AddGroup G] (H K : AddSubgroup G) [K.Normal], K.relIndex (H ⊔ K) = K.relIndex H- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroupAddSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Equiv.symmproof · cited by 3,681
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.Normalstatement and proof · cited by 183
- AddEquiv.toEquivproof · cited by 174
- Nat.card_congrproof · cited by 133
- AddSubgroup.relIndexstatement · cited by 67
- QuotientAddGroup.quotientInfEquivSumNormalQuotientproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.relIndex_sup_leftproof · cited by 0
- AddSubgroup.relIndex_dvd_index_of_normalproof · cited by 0