Theorems · Theorem · linear algebra

Lagrange.interpolate_eq_sum_interpolate_insert_sdiff

∀ {F : Type u_1} [inst : Field F] {ι : Type u_2} [inst_1 : DecidableEq ι] {s t : Finset ι} {v : ι → F} (r : ι → F),
  Set.InjOn v ↑t →
    s.Nonempty →
      s ⊆ t →
        (Lagrange.interpolate t v) r = ∑ i ∈ s, (Lagrange.interpolate (insert i (t \ s)) v) r * Lagrange.basis s v i

Defined in

Mathlib.LinearAlgebra.Lagrange

Cited by

1 results in Mathlib

Foundations

Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldDecidableEq