Theorems · Theorem · ring theory
SkewPolynomial.support_update
∀ {R : Type u_1} [inst : Semiring R] (p : SkewPolynomial R) (n : ℕ) (a : R) [inst_1 : DecidableEq R],
(p.update n a).support = if a = 0 then p.support.erase n else insert n p.support- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Finsetstatement · cited by 13,712
- Finset.mapproof · cited by 747
- Finset.erasestatement and proof · cited by 455
- Equiv.toEmbeddingproof · cited by 254
- Multiplicative.ofAddproof · cited by 237
- Multiplicative.toAddproof · cited by 161
- SkewPolynomialstatement and proof · cited by 124
- SkewMonoidAlgebra.supportproof · cited by 45
- SkewPolynomial.supportstatement · cited by 30
- SkewMonoidAlgebra.updateproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- SkewPolynomial.support_update_ne_zeroproof · cited by 0