Theorems · Theorem · linear algebra
Lagrange.nodal_ne_zero
∀ {R : Type u_1} [inst : CommRing R] {ι : Type u_2} {s : Finset ι} {v : ι → R} [Nontrivial R], Lagrange.nodal s v ≠ 0- Defined in
- Mathlib.LinearAlgebra.Lagrange
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Finsetstatement and proof · cited by 13,712
- Polynomialstatement · cited by 5,681
- Nontrivialstatement and proof · cited by 2,416
- Finset.Nonemptyproof · cited by 1,001
- one_ne_zeroproof · cited by 885
- Finset.eq_empty_or_nonemptyproof · cited by 104
- Finset.Nonempty.card_posproof · cited by 55
- Lagrange.nodalstatement · cited by 24
- Polynomial.ne_zero_of_natDegree_gtproof · cited by 13
- Lagrange.natDegree_nodalproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Lagrange.degree_nodalproof · cited by 1