Theorems · Theorem · field theory
Polynomial.coeff_natTrailingDegree_pred_eq_zero
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R} {hp : 0 < ↑p.natTrailingDegree},
p.coeff (p.natTrailingDegree - 1) = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- ENatstatement · cited by 4,985
- Polynomial.coeffstatement · cited by 1,045
- Polynomial.natTrailingDegreestatement and proof · cited by 87
- Polynomial.coeff_eq_zero_of_lt_natTrailingDegreeproof · cited by 5
- WithTop.coe_posproof · cited by 2
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