Theorems · Definition · group theory
addCommutatorSet
(G : Type u_1) → [AddGroup G] → Set G
The set of additive commutator elements ⁅g₁, g₂⁆ in G.
- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
- AddGroupstatement and proof · cited by 4,410
- Bracket.bracketproof · cited by 642
Cited by10
Results whose statement or proof uses this declaration.
- addCommutator_eq_closurestatement · cited by 1
- addCommutator_eq_normalClosurestatement · cited by 1
- addCommutator_mem_addCommutatorSetstatement · cited by 1
- AddSubgroup.Normal.quotient_commutative_iff_addCommutator_leproof · cited by 1
- image_addCommutatorSet_closureAddCommutatorRepresentativesstatement and proof · cited by 0
- mem_addCommutatorSet_iffstatement · cited by 0
- mem_addCommutatorSet_of_isAddConj_sqstatement · cited by 0
- addCommutatorRepresentativesproof · cited by 0
- zero_mem_addCommutatorSetstatement · cited by 0
- addCommutatorSet_defstatement · cited by 0