Theorems · Theorem · field theory
Polynomial.sum_X_index
∀ {R : Type u} [inst : Semiring R] {S : Type u_1} [inst_1 : AddCommMonoid S] {f : ℕ → R → S},
f 1 0 = 0 → Polynomial.X.sum f = f 1 1- Defined in
- Mathlib.Algebra.Polynomial.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 98 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
- Polynomial.Xstatement · cited by 1,639
- Polynomial.sumstatement · cited by 67
- Polynomial.sum_monomial_indexproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.eval₂_Xproof · cited by 34
- Polynomial.smeval_Xproof · cited by 11