Theorems · Theorem · group theory
mul_rotate
∀ {G : Type u_3} [inst : CommSemigroup G] (a b c : G), a * b * c = b * c * a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- CommSemigroup
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
- mul_left_commproof · cited by 184
- CommSemigroupstatement and proof · cited by 62
Cited by12
Results whose statement or proof uses this declaration.
- Complex.tendsto_tsum_powerSeries_nhdsWithin_stolzSetproof · cited by 2
- Polynomial.quo_mul_prod_add_sum_rem_mul_prod_uniqueproof · cited by 1
- EulerSine.antideriv_cos_comp_const_mulproof · cited by 1
- EulerSine.antideriv_sin_comp_const_mulproof · cited by 1
- Polynomial.flt_catalanproof · cited by 1
- gaussSum_pow_eq_prod_jacobiSum_auxproof · cited by 1
- Complex.arctan_tanproof · cited by 1
- Polynomial.isEquivalent_atBot_leadproof · cited by 1
- SimpleGraph.mul_card_edgeFinset_turanGraph_leproof · cited by 0
- PMF.binomial_apply_of_leproof · cited by 0
- Polynomial.abcproof · cited by 0
- Complex.tan_arctanproof · cited by 0