Theorems · Theorem · field theory
Polynomial.isCoprime_expand
∀ {R : Type u} [inst : CommSemiring R] {f g : Polynomial R} {p : ℕ},
p ≠ 0 → (IsCoprime ((Polynomial.expand R p) f) ((Polynomial.expand R p) g) ↔ IsCoprime f g)- Defined in
- Mathlib.Algebra.Polynomial.Expand
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.Cproof · cited by 1,598
- AlgHom.toRingHomproof · cited by 490
- IsCoprimestatement and proof · cited by 321
- Polynomial.expandstatement and proof · cited by 90
- Polynomial.contractproof · cited by 11
- IsCoprime.mapproof · cited by 2
- Polynomial.contract_Cproof · cited by 1
- Polynomial.contract_addproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.