Theorems · Theorem · group theory
div_eq_iff_mul_eq
∀ {G₀ : Type u_3} [inst : GroupWithZero G₀] {a b c : G₀}, b ≠ 0 → (a / b = c ↔ c * b = a)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
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.
- GroupWithZerostatement and proof · cited by 691
- Ne.isUnitproof · cited by 99
- IsUnit.div_eq_iffproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Complex.div_Iproof · cited by 11
- irrational_nrt_of_notint_nrtproof · cited by 2
- Real.deriv_Gamma_natproof · cited by 2
- geom_sum_invproof · cited by 1
- Polynomial.coeff_inv_unitsproof · cited by 0