Theorems · Theorem · group theory
mul_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
- 20 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 by20
Results whose statement or proof uses this declaration.
- NormedSpace.expSeries_radius_eq_topproof · cited by 27
- div_le_div_iff₀proof · cited by 11
- div_lt_div_iff₀proof · cited by 5
- HasFPowerSeriesWithinOnBall.uniform_geometric_approx'proof · cited by 3
- Icc_subset_segmentproof · cited by 3
- UpperHalfPlane.tendsto_smul_atImInftyproof · cited by 2
- Finset.ruzsa_triangle_inequality_add_add_addproof · cited by 2
- Complex.isCauSeq_norm_expproof · cited by 2
- exists_mem_interior_convexHull_affineBasisproof · cited by 2
- Finset.ruzsa_triangle_inequality_mul_mul_mulproof · cited by 2
- Complex.tan_mul_Iproof · cited by 1
- maximalIdeal_isPrincipal_of_isDedekindDomainproof · cited by 1