Theorems · Theorem · linear algebra
Lagrange.degree_interpolate_le
∀ {F : Type u_1} [inst : Field F] {ι : Type u_2} [inst_1 : DecidableEq ι] {s : Finset ι} {v : ι → F} (r : ι → F),
Set.InjOn v ↑s → ((Lagrange.interpolate s v) r).degree ≤ ↑(s.card - 1)- Defined in
- Mathlib.LinearAlgebra.Lagrange
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 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.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Finsetstatement and proof · cited by 13,712
- LinearMapstatement · cited by 10,215
- SetLike.coestatement and proof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- LE.le.transproof · cited by 3,151
- zero_addproof · cited by 2,366
- Finset.cardstatement and proof · cited by 2,327
- le_reflproof · cited by 2,061
- map_zeroproof · cited by 1,614
Cited by1
Results whose statement or proof uses this declaration.
- Lagrange.degree_interpolate_ltproof · cited by 4