Theorems · Theorem · group theory
div_mul_cancel_left
∀ {G : Type u_3} [inst : CommGroup G] (a b : G), a / (a * b) = b⁻¹- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 2 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
- inv_divproof · cited by 92
- mul_div_cancel_leftproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- HasProd.hasProd_symmetricIco_of_hasProd_symmetricIccproof · cited by 2
- MulArchimedeanClass.mk_left_le_mk_mul_iffproof · cited by 2