Theorems · Theorem · group theory
addCommutatorElement_neg
∀ {G : Type u_1} [inst : AddGroup G] (g₁ g₂ : G), -⁅g₁, g₂⁆ = ⁅g₂, g₁⁆- Defined in
- Mathlib.GroupTheory.Commutator.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- neg_negproof · cited by 960
- add_assocproof · cited by 746
- Bracket.bracketstatement · cited by 642
- neg_add_revproof · cited by 236
- addCommutatorElementstatement · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.addCommutator_comm_leproof · cited by 1