Theorems · Theorem · group theory
div_div_div_comm
∀ {α : Type u_1} [inst : DivisionCommMonoid α] (a b c d : α), a / b / (c / d) = a / c / (b / d)- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 2 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.
Cites7
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
- inv_invproof · cited by 494
- mul_inv_revproof · cited by 270
- mul_left_commproof · cited by 184
- DivisionCommMonoidstatement and proof · cited by 80
Cited by2
Results whose statement or proof uses this declaration.
- Real.Wallis.W_eq_integral_sin_pow_div_integral_sin_powproof · cited by 2
- UpperHalfPlane.tanh_half_distproof · cited by 0