Theorems · Theorem · group theory
Commute.mul_inv_cancel
∀ {G : Type u_1} [inst : Group G] {a b : G}, Commute a b → a * b * a⁻¹ = b- Defined in
- Mathlib.Algebra.Group.Commute.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- Commutestatement and proof · cited by 639
- Commute.eqproof · cited by 91
- mul_inv_cancel_rightproof · cited by 53
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.OnCycleFactors.kerParam_range_eqproof · cited by 3
- Commute.mul_inv_cancel_assocproof · cited by 0