Theorems · Theorem · group theory
AddSubgroup.relIndex_comap
∀ {G : Type u_1} {G' : Type u_2} [inst : AddGroup G] [inst_1 : AddGroup G'] (H : AddSubgroup G) (f : G' →+ G)
(K : AddSubgroup G'), (AddSubgroup.comap f H).relIndex K = H.relIndex (AddSubgroup.map f K)- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.compproof · cited by 339
- AddSubgroup.mapstatement and proof · cited by 189
- AddSubgroup.comapstatement and proof · cited by 123
- AddSubgroup.indexproof · cited by 104
- AddSubgroup.subtypeproof · cited by 82
- AddSubgroup.relIndexstatement and proof · cited by 67
- AddSubgroup.range_subtypeproof · cited by 16
- AddMonoidHom.map_rangeproof · cited by 5
- AddSubgroup.index_comapproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- NumberField.absNorm_differentIdealproof · cited by 4
- AddSubgroup.relIndex_map_mapproof · cited by 1
- AddSubgroup.relIndex_map_map_of_injectiveproof · cited by 1
- AddSubgroup.relIndex_comap_ne_zeroproof · cited by 1
- AddSubgroup.relIndex_pointwise_smulproof · cited by 0
- AddSubgroup.relIndex_inter_ne_zeroproof · cited by 0
- AddSubgroup.relIndex_kerproof · cited by 0