Theorems · Definition · field theory
Polynomial.eraseLead
{R : Type u_1} → [inst : Semiring R] → Polynomial R → Polynomial ReraseLead f for a polynomial f is the polynomial obtained by
subtracting from f the leading term of f.
- Defined in
- Mathlib.Algebra.Polynomial.EraseLead
- Cited by
- 65 results in Mathlib
- Foundations
- Depth 68 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.
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
- Polynomial.natDegreeproof · cited by 1,105
- Polynomial.eraseproof · cited by 16
Cited by66
Results whose statement or proof uses this declaration.
- Polynomial.eraseLead_natDegree_lestatement and proof · cited by 8
- Polynomial.eraseLead_coeff_of_nestatement · cited by 7
- Polynomial.eraseLead_zerostatement · cited by 7
- Polynomial.associated_content_mulproof · cited by 6
- Polynomial.eraseLead_coeffstatement · cited by 6
- Polynomial.eraseLead_monomialstatement and proof · cited by 6
- Polynomial.leadingCoeff_eraseLead_eq_nextCoeffstatement and proof · cited by 5
- Polynomial.eraseLead_add_C_mul_X_powstatement and proof · cited by 5
- Polynomial.eraseLead_supportstatement · cited by 5
- Polynomial.nextCoeff_eq_zero_of_eraseLead_eq_zerostatement and proof · cited by 5
- Polynomial.eraseLead_Cstatement · cited by 4
- Polynomial.eraseLead_add_monomial_natDegree_leadingCoeffstatement and proof · cited by 4