Theorems · Theorem · field theory
Polynomial.Monic.expand
∀ {R : Type u} [inst : CommSemiring R] {p : ℕ} {f : Polynomial R}, 0 < p → f.Monic → ((Polynomial.expand R p) f).MonicAlias of the reverse direction of Polynomial.monic_expand_iff.
- Defined in
- Mathlib.Algebra.Polynomial.Expand
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 115 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Polynomialstatement and proof · cited by 5,681
- AlgHomstatement · cited by 3,236
- Polynomial.Monicstatement · cited by 461
- Polynomial.expandstatement · cited by 90
- Polynomial.monic_expand_iffproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- IsIntegral.of_powproof · cited by 4
- Polynomial.cyclotomic_expand_eq_cyclotomicproof · cited by 2
- Polynomial.cyclotomic_expand_eq_cyclotomic_mulproof · cited by 2