Theorems · Theorem · linear algebra
Lagrange.natDegree_nodal
∀ {R : Type u_1} [inst : CommRing R] {ι : Type u_2} {s : Finset ι} {v : ι → R} [Nontrivial R],
(Lagrange.nodal s v).natDegree = s.card- Defined in
- Mathlib.LinearAlgebra.Lagrange
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Finsetstatement and proof · cited by 13,712
- mul_oneproof · cited by 3,885
- Nontrivialstatement and proof · cited by 2,416
- Finset.cardstatement and proof · cited by 2,327
- Finset.sum_congrproof · cited by 2,323
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.natDegreestatement · cited by 1,105
- Finset.sum_constproof · cited by 254
- Polynomial.monic_X_sub_Cproof · cited by 41
Cited by2
Results whose statement or proof uses this declaration.
- Lagrange.degree_nodalproof · cited by 1
- Lagrange.nodal_ne_zeroproof · cited by 1