Theorems · Theorem · linear algebra
Lagrange.X_sub_C_dvd_nodal
∀ {R : Type u_1} [inst : CommRing R] {ι : Type u_2} {s : Finset ι} (v : ι → R) {i : ι},
i ∈ s → Polynomial.X - Polynomial.C (v i) ∣ Lagrange.nodal s v- Defined in
- Mathlib.LinearAlgebra.Lagrange
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Finsetstatement and proof · cited by 13,712
- RingHomstatement · cited by 10,189
- Polynomialstatement · cited by 5,681
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- Finset.eraseproof · cited by 455
- Lagrange.nodalstatement and proof · cited by 24
- Lagrange.nodal_eq_mul_nodal_eraseproof · cited by 2
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