Theorems · Theorem · ring theory
SkewPolynomial.sum_zero
∀ {R : Type u_1} [inst : Semiring R] {N : Type u_5} [inst_1 : AddCommMonoid N] {f : SkewPolynomial R},
(f.sum fun x x_1 => 0) = 0- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AddCommMonoidstatement and proof · cited by 12,281
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.sumstatement · cited by 22
- SkewMonoidAlgebra.sum_zeroproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- SkewPolynomial.X_mulproof · cited by 2