Theorems · Theorem · group theory
AddSubgroup.map_mono
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] {f : G →+ N} {K K' : AddSubgroup G},
K ≤ K' → AddSubgroup.map f K ≤ AddSubgroup.map f K'- Defined in
- Mathlib.Algebra.Group.Subgroup.Map
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, 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
- Set.image_monoproof · cited by 197
- AddSubgroup.mapstatement · cited by 189
Cited by7
Results whose statement or proof uses this declaration.
- AddSubgroup.map_le_rangeproof · cited by 2
- AddSubgroup.IsSubnormal.trans'proof · cited by 2
- NumberField.Units.regOfFamily_div_regOfFamilyproof · cited by 1
- AddSubgroup.IsSubnormal.mapproof · cited by 1
- AddSubgroup.normalCore_eq_iInf_map_addConjproof · cited by 1
- AddSubgroup.map_inf_leproof · cited by 0
- AddSubgroup.addCommutator_le_focalAddSubgroupproof · cited by 0