Theorems · Theorem · linear algebra
Matrix.vecMul_sub
∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : NonUnitalNonAssocRing α] [inst_1 : Fintype m] (A B : Matrix m n α)
(x : m → α), Matrix.vecMul x (A - B) = Matrix.vecMul x A - Matrix.vecMul x B- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalNonAssocRingFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Matrixstatement and proof · cited by 4,303
- sub_eq_add_negproof · cited by 1,023
- NonUnitalNonAssocRingstatement and proof · cited by 354
- Matrix.vecMulstatement and proof · cited by 148
- Matrix.vecMul_negproof · cited by 2
- Matrix.vecMul_addproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.schur_complement_eq₁₁proof · cited by 1
- Matrix.schur_complement_eq₂₂proof · cited by 0