Theorems · Theorem · group theory
div_right_comm
∀ {α : Type u_1} [inst : DivisionCommMonoid α] (a b c : α), a / b / c = a / c / b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- DivisionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- div_eq_mul_invproof · cited by 715
- mul_left_commproof · cited by 184
- DivisionCommMonoidstatement and proof · cited by 80
Cited by19
Results whose statement or proof uses this declaration.
- HurwitzZeta.hasSum_nat_cosZetaproof · cited by 4
- Complex.inv_Gammaℝ_one_subproof · cited by 3
- HurwitzZeta.hasSum_nat_sinZetaproof · cited by 3
- riemannZeta_oneproof · cited by 3
- Complex.hasSum_sinproof · cited by 2
- HurwitzZeta.hasSum_int_completedCosZetaproof · cited by 2
- HurwitzZeta.hasSum_int_completedSinZetaproof · cited by 2
- EuclideanGeometry.Sphere.dist_div_cos_oangle_center_div_two_eq_radiusproof · cited by 2
- hasSum_mellin_pi_mul_sq'proof · cited by 2
- ZetaAsymptotics.tendsto_Gamma_term_auxproof · cited by 1
- HurwitzZeta.hasSum_int_completedHurwitzZetaEvenproof · cited by 1
- HurwitzZeta.hasSum_int_completedHurwitzZetaOddproof · cited by 1