Theorems · Theorem · ring theory
SkewPolynomial.sum_monomial_index
∀ {R : Type u_1} [inst : Semiring R] {N : Type u_5} [inst_1 : AddCommMonoid N] {n : ℕ} {b : R} {h : ℕ → R → N},
h n 0 = 0 → ((SkewPolynomial.monomial n) b).sum h = h n b- Defined in
- Mathlib.Algebra.SkewPolynomial.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 76 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.
Cites10
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
- AddCommMonoidstatement and proof · cited by 12,281
- LinearMapstatement · cited by 10,215
- Multiplicativestatement · cited by 875
- SkewPolynomialstatement · cited by 124
- SkewPolynomial.monomialstatement · cited by 49
- SkewPolynomial.sumstatement · cited by 22
- SkewMonoidAlgebra.sum_single_indexproof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- SkewPolynomial.X_mulproof · cited by 2
- SkewPolynomial.X_pow_mulproof · cited by 1
- SkewPolynomial.X_mul_monomialproof · cited by 0
- SkewPolynomial.X_pow_mul_monomialproof · cited by 0
- SkewPolynomial.sum_X_indexproof · cited by 0