Theorems · Theorem · group theory
AddSubgroup.map_focalAddSubgroupOf
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G),
AddSubgroup.map H.subtype H.focalAddSubgroupOf = H.focalAddSubgroup- Defined in
- Mathlib.GroupTheory.Focal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.subtypestatement · cited by 82
- AddSubgroup.focalAddSubgroupstatement · cited by 7
- AddSubgroup.focalAddSubgroupOfstatement · cited by 5
- AddSubgroup.map_addSubgroupOf_eq_of_leproof · cited by 2
- AddSubgroup.focalAddSubgroup_leproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.focalAddSubgroupOf_eq_closureproof · cited by 1
- AddSubgroup.addCommutator_le_focalAddSubgroupproof · cited by 0