Theorems · Theorem · linear algebra
Matrix.vecMulVec_mul
∀ {l : Type u_1} {m : Type u_2} {n : Type u_3} {α : Type v} [inst : NonUnitalSemiring α] [inst_1 : Fintype m]
(x : l → α) (y : m → α) (M : Matrix m n α), Matrix.vecMulVec x y * M = Matrix.vecMulVec x (Matrix.vecMul y M)- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalSemiringFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Finset.sumproof · cited by 5,195
- Matrixstatement and proof · cited by 4,303
- Finset.univproof · cited by 3,473
- Finset.sum_congrproof · cited by 2,323
- mul_assocproof · cited by 1,667
- Matrix.extproof · cited by 540
- NonUnitalSemiringstatement and proof · cited by 339
- Finset.mul_sumproof · cited by 196
- Matrix.vecMulstatement · cited by 148
- Matrix.vecMulVecstatement · cited by 52
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.vecMulVec_mul_vecMulVecproof · cited by 0