Theorems · Theorem · commutative algebra
normalize_dvd_iff
∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : NormalizationMonoid α] {a b : α}, normalize a ∣ b ↔ a ∣ b- Defined in
- Mathlib.Algebra.GCDMonoid.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
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.
- MonoidWithZerostatement and proof · cited by 456
- NormalizationMonoidstatement and proof · cited by 165
- normalizestatement · cited by 137
- Units.mul_right_dvdproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.map_dvd_map'proof · cited by 14