Theorems · Definition · field theory
Polynomial.erase
{R : Type u_1} → [inst : Semiring R] → ℕ → Polynomial R → Polynomial Rerase p n is the polynomial p in which the X^n term has been erased.
- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 67 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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- Polynomialstatement · cited by 5,681
Cited by17
Results whose statement or proof uses this declaration.
- Polynomial.eraseLeadproof · cited by 65
- Polynomial.degree_sub_lt_leftproof · cited by 9
- Polynomial.eraseLead_monomialproof · cited by 6
- Polynomial.toFinsupp_erasestatement · cited by 4
- Polynomial.support_erasestatement · cited by 4
- Polynomial.coeff_erasestatement · cited by 4
- Polynomial.erase_defstatement · cited by 3
- Polynomial.degree_erase_ltstatement and proof · cited by 3
- Polynomial.monomial_add_erasestatement and proof · cited by 2
- Polynomial.degree_erase_lestatement · cited by 2
- Polynomial.update_zero_eq_erasestatement and proof · cited by 1
- Polynomial.erase_monomialstatement and proof · cited by 1