Theorems · Theorem · commutative algebra
EuclideanDomain.val_dvd_le
∀ {R : Type u} [inst : EuclideanDomain R] (a b : R), b ∣ a → a ≠ 0 → ¬EuclideanDomain.r a b- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- 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.
- MulZeroClass.mul_zeroproof · cited by 2,091
- EuclideanDomainstatement and proof · cited by 124
- EuclideanDomain.rstatement and proof · cited by 13
- EuclideanDomain.mul_left_not_ltproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.