Theorems · Theorem · ring theory
SkewPolynomial.sum_monomial
∀ {R : Type u_1} [inst : Semiring R] (f : SkewPolynomial R), (f.sum fun a => ⇑(SkewPolynomial.monomial a)) = f- 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
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- LinearMapstatement · cited by 10,215
- Multiplicativestatement · cited by 875
- SkewPolynomialstatement and proof · cited by 124
- SkewPolynomial.monomialstatement · cited by 49
- SkewPolynomial.sumstatement · cited by 22
- SkewMonoidAlgebra.sum_singleproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- SkewPolynomial.X_pow_mulproof · cited by 1