Theorems · Theorem · commutative algebra
EuclideanDomain.mul_add_div_left
∀ {R : Type u} [inst : EuclideanDomain R] (x y z : R), z ≠ 0 → z ∣ y → (z * x + y) / z = x + y / z- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_addproof · cited by 413
- 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 by1
Results whose statement or proof uses this declaration.
- EuclideanDomain.mul_add_div_rightproof · cited by 0