Theorems · Theorem · group theory
AddSubgroup.index_map_subtype
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} (K : AddSubgroup ↥H),
(AddSubgroup.map H.subtype K).index = K.index * H.index- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 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.
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
- AddSubgroupstatement and proof · cited by 3,232
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.indexstatement and proof · cited by 104
- AddSubgroup.subtypestatement · cited by 82
- AddSubgroup.range_subtypeproof · cited by 16
- AddSubgroup.subtype_injectiveproof · cited by 10
- AddSubgroup.index_map_of_injectiveproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.