Theorems · Theorem · commutative algebra
EuclideanDomain.div_sub_div_of_dvd
∀ {R : Type u} [inst : EuclideanDomain R] {x y z t : R},
y ≠ 0 → t ≠ 0 → y ∣ x → t ∣ z → x / y - z / t = (t * x - y * z) / (t * y)- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_commproof · cited by 2,262
- mul_assocproof · cited by 1,667
- mul_subproof · cited by 201
- mul_ne_zeroproof · cited by 178
- EuclideanDomainstatement and proof · cited by 124
- EuclideanDomain.mul_div_cancel'proof · cited by 9
- EuclideanDomain.eq_div_of_mul_eq_rightproof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.