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Theorems · Theorem · linear algebra

Lagrange.basis_singleton

∀ {F : Type u_1} [inst : Field F] {ι : Type u_2} [inst_1 : DecidableEq ι] {v : ι → F} (i : ι),
  Lagrange.basis {i} v i = 1
Defined in
Mathlib.LinearAlgebra.Lagrange
Cited by
1 results in Mathlib
Foundations
Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Lagrange.interpolate_singleton · cited by 0Lagrange.interpolate_sing…Finset · cited by 13712FinsetField · cited by 7404FieldPolynomial · cited by 5681PolynomialFinset.prod · cited by 2356Finset.prodLagrange.basis · cited by 26Lagrange.basisFinset.prod_empty · cited by 19Finset.prod_emptyLagrange.basisDivisor · cited by 19Lagrange.basisDivisorFinset.erase_singleton · cited by 6Finset.erase_singletonLagrange.basis_singletonCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.