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Theorems · Theorem · ring theory

SkewPolynomial.sum_add

∀ {R : Type u_1} [inst : Semiring R] {S : Type u_5} [inst_1 : AddCommMonoid S] (p : SkewPolynomial R) (f g : ℕ → R → S),
  (p.sum fun n x => f n x + g n x) = p.sum f + p.sum g

See also SkewPolynomial.sum_add'.

Defined in
Mathlib.Algebra.SkewPolynomial.Basic
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringAddCommMonoid
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Around this declaration

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SkewPolynomial.sum_sub · cited by 0SkewPolynomial.sum_subSemiring · cited by 13802SemiringAddCommMonoid · cited by 12281AddCommMonoidSkewPolynomial · cited by 124SkewPolynomialSkewPolynomial.sum · cited by 22SkewPolynomial.sumSkewPolynomial.sum_add' · cited by 1SkewPolynomial.sum_add'SkewPolynomial.sum_addCITED BYCITES

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Cited by1

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