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Theorems · Theorem · field theory

Polynomial.expand_ne_zero

∀ {R : Type u} [inst : CommSemiring R] {p : ℕ}, 0 < p → ∀ {f : Polynomial R}, (Polynomial.expand R p) f ≠ 0 ↔ f ≠ 0
Defined in
Mathlib.Algebra.Polynomial.Expand
Cited by
2 results in Mathlib
Foundations
Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Polynomial.rootMultiplicity_expand_pow · cited by 2Polynomial.rootMultiplici…IsAlgebraic.of_pow · cited by 1IsAlgebraic.of_powDFunLike.coe · cited by 62936DFunLike.coeCommSemiring · cited by 10911CommSemiringPolynomial · cited by 5681PolynomialAlgHom · cited by 3236AlgHomIff.not · cited by 489Iff.notPolynomial.expand · cited by 90Polynomial.expandPolynomial.expand_eq_zero · cited by 2Polynomial.expand_eq_zeroPolynomial.expand_ne_zeroCITED BYCITES

Cites7

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Cited by2

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