Theorems · Theorem · field theory
Polynomial.support_update
∀ {R : Type u} [inst : Semiring R] (p : Polynomial R) (n : ℕ) (a : R) [inst_1 : Decidable (a = 0)],
(p.update n a).support = if a = 0 then p.support.erase n else insert n p.support- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.updatestatement · cited by 10
- Finsupp.support_updateproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.degree_update_leproof · cited by 0
- Polynomial.support_update_ne_zeroproof · cited by 0