Theorems · Theorem · group theory
Commute.inv_inv
∀ {G : Type u_1} [inst : DivisionMonoid G] {a b : G}, Commute a b → Commute a⁻¹ b⁻¹- Defined in
- Mathlib.Algebra.Group.Commute.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- DivisionMonoid
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.
- Commutestatement · cited by 639
- DivisionMonoidstatement and proof · cited by 201
- SemiconjBy.inv_inv_symmproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Commute.div_mul_div_commproof · cited by 5
- Commute.div_div_div_commproof · cited by 0