Theorems · Theorem · group theory
AddSubgroup.index_comap
∀ {G : Type u_1} {G' : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup G'] (H : AddSubgroup G) (f : G' →+ G),
(AddSubgroup.comap f H).index = H.relIndex f.range- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidHom.rangestatement and proof · cited by 142
- AddSubgroup.comapstatement and proof · cited by 123
- AddSubgroup.indexstatement and proof · cited by 104
- AddSubgroup.addSubgroupOfproof · cited by 87
- AddSubgroup.relIndexstatement · cited by 67
- AddMonoidHom.rangeRestrict_surjectiveproof · cited by 4
- AddSubgroup.index_comap_of_surjectiveproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- AddSubgroup.relIndex_comapproof · cited by 7
- AddSubgroup.index_kerproof · cited by 3
- AddSubgroup.index_mapproof · cited by 3
- AddSubgroup.relIndex_addSubgroupOfproof · cited by 1