Theorems · Theorem · linear algebra
dotProduct_sub
∀ {m : Type u_2} {α : Type v} [inst : Fintype m] [inst_1 : NonUnitalNonAssocRing α] (u v w : m → α),
u ⬝ᵥ (v - w) = u ⬝ᵥ v - u ⬝ᵥ w- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FintypeNonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- sub_eq_add_negproof · cited by 1,023
- NonUnitalNonAssocRingstatement and proof · cited by 354
- dotProductstatement and proof · cited by 194
- dotProduct_addproof · cited by 6
- dotProduct_negproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.mulVec_subproof · cited by 3
- SimpleGraph.lapMatrix_toLinearMap₂'proof · cited by 2