Theorems · Definition · field theory
Polynomial.natTrailingDegree
{R : Type u} → [inst : Semiring R] → Polynomial R → ℕnatTrailingDegree p forces trailingDegree p to ℕ, by defining
natTrailingDegree ⊤ = 0.
- Cited by
- 87 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- ENat.toNatproof · cited by 143
- Polynomial.trailingDegreeproof · cited by 39
Cited by91
Results whose statement or proof uses this declaration.
- Polynomial.mirrorproof · cited by 32
- Polynomial.trailingCoeffproof · cited by 20
- Polynomial.natTrailingDegree_le_of_ne_zerostatement · cited by 10
- Polynomial.trailingDegree_eq_natTrailingDegreestatement · cited by 8
- Polynomial.mirror_mirrorproof · cited by 5
- Polynomial.mirror_natTrailingDegreestatement and proof · cited by 5
- Polynomial.coeff_eq_zero_of_lt_natTrailingDegreestatement and proof · cited by 5
- Polynomial.reverse_leadingCoeffproof · cited by 5
- Polynomial.mirror_natDegreeproof · cited by 4
- Polynomial.natTrailingDegree_Cstatement · cited by 4
- Polynomial.natTrailingDegree_le_natDegreestatement and proof · cited by 4
- Polynomial.natTrailingDegree_monomialstatement · cited by 4