Theorems · Theorem · group theory
div_mul
∀ {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
- 4 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- div_eq_mul_invproof · cited by 715
- inv_invproof · cited by 494
- mul_inv_revproof · cited by 270
- mul_left_commproof · cited by 184
- DivisionCommMonoidstatement and proof · cited by 80
Cited by4
Results whose statement or proof uses this declaration.
- EulerSine.integral_cos_pow_eqproof · cited by 2
- ZetaAsymptotics.termTSum_of_ltproof · cited by 2
- mul_div_div_cancelproof · cited by 1
- Rat.den_le_and_le_num_le_of_sub_lt_one_div_den_sqproof · cited by 1