Theorems · Theorem · field theory
Polynomial.trailingDegree_eq_natTrailingDegree
∀ {R : Type u} [inst : Semiring R] {p : Polynomial R}, p ≠ 0 → p.trailingDegree = ↑p.natTrailingDegree- Cited by
- 8 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.natTrailingDegreestatement · cited by 87
- Polynomial.trailingDegreestatement · cited by 39
- ENat.natCast_toNatproof · cited by 11
- Polynomial.trailingDegree_eq_topproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.trailingCoeff_eq_zeroproof · cited by 5
- Polynomial.coeff_eq_zero_of_lt_natTrailingDegreeproof · cited by 5
- Polynomial.natTrailingDegree_mul'proof · cited by 2
- Polynomial.trailingDegree_mul'proof · cited by 1
- Polynomial.trailingDegree_eq_iff_natTrailingDegree_eqproof · cited by 1
- Polynomial.trailingDegree_mulproof · cited by 0
- Polynomial.natTrailingDegree_le_of_trailingDegree_leproof · cited by 0
- Polynomial.le_natTrailingDegree_mulproof · cited by 0