Theorems · Theorem · group theory
AddSubgroup.comap_mono
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] {f : G →+ N} {K K' : AddSubgroup N},
K ≤ K' → AddSubgroup.comap f K ≤ AddSubgroup.comap f K'- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Quot.sound
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
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.comapstatement · cited by 123
- Set.preimage_monoproof · cited by 95
Cited by11
Results whose statement or proof uses this declaration.
- AddSubgroup.ker_le_comapproof · cited by 4
- AddSubgroup.IsSubnormal.comapproof · cited by 1
- QuotientAddGroup.strictMono_comap_prod_imageproof · cited by 1
- AddSubgroup.addSubgroupOf_monoproof · cited by 1
- QuotientAddGroup.map_mapstatement · cited by 1
- AddSubgroup.comap_le_comap_of_le_rangeproof · cited by 1
- AddSubgroup.iSup_comap_leproof · cited by 0
- QuotientAddGroup.le_comap_mk'proof · cited by 0
- AddSubgroup.comap_sup_comap_leproof · cited by 0
- AddMonoidHom.ker_le_comapproof · cited by 0
- QuotientAddGroup.map_comp_mapstatement · cited by 0