cross_dot_cross

∀ {R : Type u_1} [inst : CommRing R] (u v w x : Fin 3 → R),
  (crossProduct u) v ⬝ᵥ (crossProduct w) x = u ⬝ᵥ w * v ⬝ᵥ x - u ⬝ᵥ x * v ⬝ᵥ w

The scalar quadruple product identity, related to the Binet-Cauchy identity.

Defined in: Mathlib.LinearAlgebra.CrossProduct
Cited by: 1 results in Mathlib
Foundations: Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing

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