Theorems · Theorem · group theory
Commute.right_comm
∀ {S : Type u_3} [inst : Semigroup S] {b c : S}, Commute b c → ∀ (a : S), a * b * c = a * c * b- Defined in
- Mathlib.Algebra.Group.Commute.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- Semigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_assocproof · cited by 1,667
- Commutestatement and proof · cited by 639
- Semigroupstatement and proof · cited by 202
- Commute.eqproof · cited by 91
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.vec_vecMul_kronecker_of_commuteproof · cited by 2
- Matrix.kronecker_mulVec_vec_of_commuteproof · cited by 2
- Commute.div_eq_div_iff_of_isUnitproof · cited by 2
- Sylow.conj_eq_normalizer_conj_of_mem_centralizerproof · cited by 1