Theorems · Theorem · group theory
Commute.inv_right_iff
∀ {G : Type u_1} [inst : Group G] {a b : G}, Commute a b⁻¹ ↔ Commute a b- Defined in
- Mathlib.Algebra.Group.Commute.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 639
- SemiconjBy.inv_right_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Commute.inv_rightproof · cited by 1