Theorems · Theorem · group theory
Subgroup.ker_le_comap
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (f : G →* N) (H : Subgroup N),
f.ker ≤ Subgroup.comap f H- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 5 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.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement and proof · cited by 3,593
- bot_leproof · cited by 306
- MonoidHom.kerstatement · cited by 212
- Subgroup.comapstatement · cited by 154
- Subgroup.comap_monoproof · cited by 11
- MonoidHom.comap_botproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- Subgroup.comap_map_eqproof · cited by 9
- Subgroup.subgroupOf_supproof · cited by 2
- Subgroup.comap_sup_eq_of_le_rangeproof · cited by 1
- Subgroup.isCoatom_comap_of_surjectiveproof · cited by 1
- Subgroup.comap_eq_kerproof · cited by 1