Theorems · Theorem · group theory
div_mul_eq_div_mul_one_div
∀ {α : Type u_1} [inst : DivisionCommMonoid α] (a b c : α), a / (b * c) = a / b * (1 / c)- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- DivisionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- 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 by6
Results whose statement or proof uses this declaration.
- pi_mul_cot_pi_q_expproof · cited by 1
- Real.rpowIntegrand₀₁_apply_mulproof · cited by 1
- MeasureTheory.tendsto_Lp_finite_of_tendsto_ae_of_measproof · cited by 1
- tendsto_smoothingFun_of_ne_zeroproof · cited by 1
- MeasureTheory.Measure.MeasureDense.of_generateFrom_isSetAlgebra_finiteproof · cited by 1
- div_mul_le_div_mul_of_div_le_divproof · cited by 0