Theorems · Theorem · group theory
div_div
∀ {α : Type u_1} [inst : DivisionCommMonoid α] (a b c : α), a / b / c = a / (b * c)- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 56 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_inv_revproof · cited by 270
- DivisionCommMonoidstatement and proof · cited by 80
Cited by56
Results whose statement or proof uses this declaration.
- HurwitzZeta.completedHurwitzZetaEven_eqproof · cited by 4
- hasSum_one_div_nat_pow_mul_fourierproof · cited by 2
- hasSum_one_div_nat_pow_mul_sinproof · cited by 2
- CircleDeg1Lift.transnumAuxSeq_dist_ltproof · cited by 2
- one_add_mul_self_lt_rpow_one_addproof · cited by 2
- HurwitzZeta.differentiableAt_update_of_residueproof · cited by 2
- fourier_gaussian_pi'proof · cited by 2
- sum_range_powproof · cited by 2
- norm_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_ne_zero_mulproof · cited by 2
- Complex.isCauSeq_norm_expproof · cited by 2
- hasSum_mellin_pi_mul_sq'proof · cited by 2
- Behrend.bound_auxproof · cited by 1