Theorems · Theorem
Matrix.vec3_dotProduct
∀ {α : Type u} [inst : AddCommMonoid α] [inst_1 : Mul α] (v w : Fin 3 → α), v ⬝ᵥ w = v 0 * w 0 + v 1 * w 1 + v 2 * w 2- Defined in
- Mathlib.LinearAlgebra.Matrix.Notation
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- dotProductstatement · cited by 194
- Matrix.vec3_dotProduct'proof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- dot_self_crossproof · cited by 2
- cross_dot_crossproof · cited by 1
- cross_cross_eq_smul_sub_smulproof · cited by 0
- cross_cross_eq_smul_sub_smul'proof · cited by 0
- triple_product_eq_detproof · cited by 0
- triple_product_permutationproof · cited by 0