Theorems · Theorem · ring theory
SkewPolynomial.coeff_add
∀ {R : Type u_1} [inst : Semiring R] (p q : SkewPolynomial R) (n : ℕ), (p + q).coeff n = p.coeff n + q.coeff n- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Multiplicativestatement · cited by 875
- Multiplicative.ofAddproof · cited by 237
- SkewPolynomialstatement and proof · cited by 124
- SkewMonoidAlgebra.coeffproof · cited by 110
- SkewPolynomial.coeffstatement · cited by 37
- SkewMonoidAlgebra.coeff_addproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- SkewPolynomial.coeff_subproof · cited by 0