Theorems · Theorem · group theory
addCommutatorElement_add_left_eq_addConj_add
∀ {G : Type u_1} [inst : AddGroup G] (a b c : G), ⁅a + b, c⁆ = a + ⁅b, c⁆ + -a + ⁅a, c⁆- 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
- add_assocproof · cited by 746
- Bracket.bracketstatement · cited by 642
- neg_add_revproof · cited by 236
- neg_add_cancel_leftproof · cited by 84
- addCommutatorElementstatement · cited by 35
Cited by1
Results whose statement or proof uses this declaration.
- AddSubgroup.normalizer_addCommutator_ge_leftproof · cited by 1