Theorems · Theorem · linear algebra
Lagrange.basisDivisor_add_symm
∀ {F : Type u_1} [inst : Field F] {x y : F}, x ≠ y → Lagrange.basisDivisor x y + Lagrange.basisDivisor y x = 1- Defined in
- Mathlib.LinearAlgebra.Lagrange
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 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.
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Function.Injective.injOnproof · cited by 280
- Finset.sum_singletonproof · cited by 251
- Finset.sum_insertproof · cited by 196
- Finset.mem_insert_selfproof · cited by 128
- Lagrange.basisproof · cited by 26
- Lagrange.basisDivisorstatement and proof · cited by 19
- Finset.notMem_singletonproof · cited by 13
- Lagrange.sum_basisproof · cited by 3
- Lagrange.basis_pair_leftproof · cited by 3
- Lagrange.basis_pair_rightproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.