Theorems · Theorem · linear algebra
Lagrange.basis_pair_right
∀ {F : Type u_1} [inst : Field F] {ι : Type u_2} [inst_1 : DecidableEq ι] {v : ι → F} {i j : ι},
i ≠ j → Lagrange.basis {i, j} v j = Lagrange.basisDivisor (v j) (v i)- Defined in
- Mathlib.LinearAlgebra.Lagrange
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- Lagrange.basisstatement and proof · cited by 26
- Lagrange.basisDivisorstatement and proof · cited by 19
- Finset.pair_commproof · cited by 5
- Lagrange.basis_pair_leftproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Lagrange.interpolate_eq_add_interpolate_eraseproof · cited by 0
- Lagrange.basisDivisor_add_symmproof · cited by 0