Theorems · Theorem · group theory
mul_div_cancel
∀ {G : Type u_3} [inst : CommGroup G] (a b : G), a * (b / a) = b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 9 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_assocproof · cited by 149
- mul_div_cancel_leftproof · cited by 9
Cited by9
Results whose statement or proof uses this declaration.
- HasProd.hasProd_iff_complproof · cited by 2
- Filter.tendsto_of_div_tendsto_oneproof · cited by 1
- Finset.eq_prod_range_divproof · cited by 1
- mul_mul_div_cancelproof · cited by 1
- Finset.prod_Ico_int_divproof · cited by 0
- Multipliable.tprod_eq_mul_tprod_iteproof · cited by 0
- sup_eq_mul_oneLePart_divproof · cited by 0
- AntilipschitzWith.mul_div_lipschitzWithproof · cited by 0
- mul_mul_inv_cancel'_rightproof · cited by 0