Theorems · Definition · ring theory
SkewPolynomial.erase
{R : Type u_1} → [inst : Semiring R] → ℕ → SkewPolynomial R → SkewPolynomial Rerase p n is the polynomial p in which the X ^ n term has been erased.
- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 73 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Multiplicative.ofAddproof · cited by 237
- SkewPolynomialstatement and proof · cited by 124
- SkewMonoidAlgebra.eraseproof · cited by 12
Cited by8
Results whose statement or proof uses this declaration.
- SkewPolynomial.coeff_erasestatement · cited by 3
- SkewPolynomial.update_zero_eq_erasestatement · cited by 1
- SkewPolynomial.support_erasestatement · cited by 1
- SkewPolynomial.monomial_add_erasestatement · cited by 0
- SkewPolynomial.erase_monomialstatement · cited by 0
- SkewPolynomial.erase_nestatement · cited by 0
- SkewPolynomial.erase_samestatement · cited by 0
- SkewPolynomial.erase_zerostatement · cited by 0