Theorems · Theorem · group theory
AddSubgroup.ker_le_comap
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (f : G →+ N) (H : AddSubgroup N),
f.ker ≤ AddSubgroup.comap f H- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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
- AddMonoidHomstatement and proof · cited by 3,230
- bot_leproof · cited by 306
- AddMonoidHom.kerstatement · cited by 158
- AddSubgroup.comapstatement · cited by 123
- AddSubgroup.comap_monoproof · cited by 11
- AddMonoidHom.comap_botproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- AddSubgroup.comap_map_eqproof · cited by 8
- AddSubgroup.comap_eq_kerproof · cited by 1
- AddSubgroup.addSubgroupOf_supproof · cited by 1
- AddSubgroup.comap_sup_eq_of_le_rangeproof · cited by 1