Theorems · Theorem · commutative algebra
EuclideanDomain.eq_div_of_mul_eq_left
∀ {R : Type u} [inst : EuclideanDomain R] {a b c : R}, b ≠ 0 → a * b = c → a = c / b- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EuclideanDomain
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- EuclideanDomainstatement and proof · cited by 124
- mul_div_cancel_right₀proof · cited by 70
Cited by6
Results whose statement or proof uses this declaration.
- EuclideanDomain.div_oneproof · cited by 5
- MeasureTheory.Measure.addHaarScalarFactor_eq_integral_divproof · cited by 4
- MeasureTheory.Measure.haarScalarFactor_eq_integral_divproof · cited by 3
- EuclideanDomain.dvd_lcm_leftproof · cited by 1
- EuclideanDomain.eq_divRadicalproof · cited by 1
- fermatLastTheoremWith'_polynomialproof · cited by 0