Theorems · Theorem · field theory
Polynomial.support_erase
∀ {R : Type u} [inst : Semiring R] (p : Polynomial R) (n : ℕ), (Polynomial.erase n p).support = p.support.erase n- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 70 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.
Cites11
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
- Finsetstatement · cited by 13,712
- Polynomialstatement and proof · cited by 5,681
- Finsupp.supportproof · cited by 828
- Finset.erasestatement and proof · cited by 455
- AddMonoidAlgebra.coeffproof · cited by 365
- Polynomial.supportstatement · cited by 237
- Polynomial.toFinsuppproof · cited by 64
- Polynomial.erasestatement · cited by 16
- Finsupp.support_eraseproof · cited by 10
- Polynomial.toFinsupp_eraseproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.eraseLead_supportproof · cited by 5
- Polynomial.degree_erase_ltproof · cited by 3
- Polynomial.degree_erase_leproof · cited by 2
- Polynomial.support_update_zeroproof · cited by 0