Theorems · Theorem · group theory
mul_inv_cancel_comm_assoc
∀ {G : Type u_1} [inst : CommGroup G] (a b : G), a * (b * a⁻¹) = b- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- CommGroup
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.
- mul_commproof · cited by 2,262
- CommGroupstatement and proof · cited by 990
- inv_mul_cancel_rightproof · cited by 70
Cited by4
Results whose statement or proof uses this declaration.
- div_div_self'proof · cited by 2
- MeasureTheory.mlconvolution_commproof · cited by 0
- mul_div_mul_left_eq_divproof · cited by 0
- inf_sq_eq_mul_div_mabs_divproof · cited by 0