Theorems · Theorem · group theory
mul_div_assoc
∀ {G : Type u_1} [inst : DivInvMonoid G] (a b c : G), a * b / c = a * (b / c)- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 149 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 38 definitions · uses no axioms
- Assumes
- DivInvMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_assocproof · cited by 1,667
- div_eq_mul_invproof · cited by 715
- DivInvMonoidstatement and proof · cited by 103
Cited by149
Results whose statement or proof uses this declaration.
- neg_divproof · cited by 161
- Real.cos_piproof · cited by 20
- div_mul_div_cancelproof · cited by 13
- mul_div_assoc'proof · cited by 9
- mul_div_cancelproof · cited by 9
- sdiv_smul_eq_sdiv_divproof · cited by 6
- Real.Gamma_one_half_eqproof · cited by 6
- Complex.cpow_inv_two_reproof · cited by 6
- Complex.exp_boundproof · cited by 6
- Complex.tan_addproof · cited by 5
- div_mul_div_cancel₀proof · cited by 5
- Complex.norm_log_sub_logTaylor_leproof · cited by 4