Theorems · Theorem · field theory
Polynomial.degree_sum_fin_lt
∀ {R : Type u} [inst : Semiring R] {n : ℕ} (f : Fin n → R), (∑ i, Polynomial.C (f i) * Polynomial.X ^ ↑i).degree < ↑n- Cited by
- 4 results in Mathlib
- Foundations
- Depth 104 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Finset.sumstatement · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- WithBotstatement · cited by 1,498
- LE.le.trans_ltproof · cited by 795
- Polynomial.degreestatement · cited by 643
- WithBot.coe_lt_coeproof · cited by 55
Cited by4
Results whose statement or proof uses this declaration.
- PowerBasis.minpolyGen_monicproof · cited by 3
- PowerBasis.degree_minpolyGenproof · cited by 3
- LinearRecurrence.charPoly_degree_eq_orderproof · cited by 1
- linearIndependent_powproof · cited by 0