Theorems · Theorem · group theory
mul_right_comm
∀ {G : Type u_3} [inst : CommSemigroup G] (a b c : G), a * b * c = a * c * b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 108 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 17 definitions · uses no axioms
- 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_assocproof · cited by 1,667
- CommSemigroupstatement and proof · cited by 62
Cited by108
Results whose statement or proof uses this declaration.
- Complex.sin_addproof · cited by 12
- mul_dvd_mul_iff_rightproof · cited by 8
- IsCoprime.of_mul_left_leftproof · cited by 8
- IsPrimitiveRoot.pow_of_coprimeproof · cited by 8
- Associated.mul_rightproof · cited by 6
- IsLocalization.isLocalization_of_submonoid_leproof · cited by 5
- Abelianization.commutator_subset_kerproof · cited by 5
- Complex.cos_eq_zero_iffproof · cited by 5
- IsAlgebraic.of_mulproof · cited by 4
- IsCyclotomicExtension.discr_prime_pow_ne_twoproof · cited by 4
- Ideal.mem_jacobson_botproof · cited by 4
- isLittleO_pow_const_const_pow_of_one_ltproof · cited by 3