Theorems · Theorem · group theory
AddSubgroup.map_subtype_addCommutator
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G), AddSubgroup.map H.subtype (addCommutator ↥H) = ⁅H, H⁆- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- Bracket.bracketstatement and proof · cited by 642
- AddSubgroup.mapstatement and proof · cited by 189
- AddSubgroup.subtypestatement and proof · cited by 82
- addCommutatorstatement · cited by 17
- AddSubgroup.range_subtypeproof · cited by 16
- AddMonoidHom.range_eq_mapproof · cited by 15
- AddSubgroup.map_addCommutatorproof · cited by 6
- addCommutator_defproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- AddSubgroup.addCommutator_le_selfproof · cited by 0
- AddSubgroup.addCommutator_le_focalAddSubgroupproof · cited by 0