Theorems · Theorem · field theory
Polynomial.coeff_sub_eq_neg_right_of_lt
∀ {R : Type u} {n : ℕ} [inst : Ring R] {p q : Polynomial R}, p.natDegree < n → (p - q).coeff n = -q.coeff n- Defined in
- Mathlib.Algebra.Polynomial.Degree.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Polynomialstatement and proof · cited by 5,681
- Polynomial.natDegreestatement and proof · cited by 1,105
- Polynomial.coeffstatement and proof · cited by 1,045
- sub_eq_add_negproof · cited by 1,023
- Polynomial.coeff_negproof · cited by 15
- Polynomial.coeff_add_eq_right_of_ltproof · cited by 1
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