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Theorems · Theorem · field theory

Polynomial.IsMonicOfDegree.sub

∀ {R : Type u_1} [inst : Ring R] {p q : Polynomial R} {n : ℕ},
  p.IsMonicOfDegree n → q.natDegree < n → (p - q).IsMonicOfDegree n
Defined in
Mathlib.Algebra.Polynomial.Degree.IsMonicOfDegree
Cited by
1 results in Mathlib
Foundations
Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Ring
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Around this declaration

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

Polynomial.isMonicOfDegree_X_sub_one · cited by 0Polynomial.isMonicOfDegre…Ring · cited by 7463RingPolynomial · cited by 5681PolynomialPolynomial.natDegree · cited by 1105Polynomial.natDegreesub_eq_add_neg · cited by 1023sub_eq_add_negPolynomial.IsMonicOfDegree · cited by 39Polynomial.IsMonicOfDegreePolynomial.natDegree_neg · cited by 26Polynomial.natDegree_negPolynomial.IsMonicOfDegree.add_right · cited by 6IsMonicOfDegree.add_rightIsMonicOfDegree.subCITED BYCITES

Cites7

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Cited by1

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