Theorems · Theorem · ring theory
SkewPolynomial.support_update_ne_zero
∀ {R : Type u_1} [inst : Semiring R] (p : SkewPolynomial R) (n : ℕ) {a : R},
a ≠ 0 → (p.update n a).support = insert n p.support- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
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Cites6
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 and proof · cited by 13,712
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.supportstatement and proof · cited by 30
- SkewPolynomial.updatestatement · cited by 9
- SkewPolynomial.support_updateproof · cited by 1
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