Theorems · Theorem · group theory
div_mul_comm
∀ {α : Type u_1} [inst : DivisionCommMonoid α] (a b c : α), a / b * c = c / b * a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 8 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.
Cites4
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
- mul_left_commproof · cited by 184
- DivisionCommMonoidstatement and proof · cited by 80
Cited by8
Results whose statement or proof uses this declaration.
- exists_dist_lt_ltproof · cited by 3
- Rat.den_le_and_le_num_le_of_sub_lt_one_div_den_sqproof · cited by 1
- norm_jacobiTheta_sub_one_leproof · cited by 1
- Complex.HadamardThreeLines.sSupNormIm_scale_leftproof · cited by 1
- Complex.HadamardThreeLines.sSupNormIm_scale_rightproof · cited by 1
- exists_dist_le_leproof · cited by 1
- exists_dist_le_ltproof · cited by 1
- IsOpen.exists_between_affineIndependent_span_eq_topproof · cited by 1