Theorems · Theorem · linear algebra

Lagrange.sum_basis

∀ {F : Type u_1} [inst : Field F] {ι : Type u_2} [inst_1 : DecidableEq ι] {s : Finset ι} {v : ι → F},
  Set.InjOn v ↑s → s.Nonempty → ∑ j ∈ s, Lagrange.basis s v j = 1

Defined in

Mathlib.LinearAlgebra.Lagrange

Cited by

3 results in Mathlib

Foundations

Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldDecidableEq