Theorems · Theorem · group theory
Subgroup.map_focalSubgroupOf
∀ {G : Type u_1} [inst : Group G] (H : Subgroup G), Subgroup.map H.subtype H.focalSubgroupOf = H.focalSubgroup- Defined in
- Mathlib.GroupTheory.Focal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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
- Subgroupstatement and proof · cited by 3,593
- Subgroup.mapstatement · cited by 301
- Subgroup.subtypestatement · cited by 185
- Subgroup.focalSubgroupOfstatement · cited by 10
- Subgroup.focalSubgroupstatement · cited by 9
- Subgroup.map_subgroupOf_eq_of_leproof · cited by 4
- Subgroup.focalSubgroup_leproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Subgroup.ker_transferFocal_inf_eq_focalSubgroupproof · cited by 1
- Subgroup.focalSubgroupOf_eq_closureproof · cited by 1
- Subgroup.commutator_le_focalSubgroupproof · cited by 0