Theorems · Theorem · group theory
mul_div_div_cancel
∀ {G : Type u_3} [inst : CommGroup G] (a b c : G), a * b / (a / c) = b * c- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- CommGroup
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.
- CommGroupstatement and proof · cited by 990
- mul_div_cancel_leftproof · cited by 9
- div_mulproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- mabs_div_eq_leOnePart_sqproof · cited by 1