Theorems · Theorem · linear algebra
Lagrange.eval_basisDivisor_left_of_ne
∀ {F : Type u_1} [inst : Field F] {x y : F}, x ≠ y → Polynomial.eval x (Lagrange.basisDivisor x y) = 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
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.evalstatement · cited by 796
- inv_mul_cancel₀proof · cited by 267
- Polynomial.eval_Xproof · cited by 172
- Polynomial.eval_Cproof · cited by 145
- Polynomial.eval_mulproof · cited by 127
- Polynomial.eval_subproof · cited by 124
- sub_ne_zero_of_neproof · cited by 51
- Lagrange.basisDivisorstatement · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- Lagrange.eval_basis_selfproof · cited by 3