Theorems · Theorem · linear algebra
Matrix.sub_mulVec
∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : NonUnitalNonAssocRing α] [inst_1 : Fintype n] (A B : Matrix m n α)
(x : n → α), (A - B).mulVec x = A.mulVec x - B.mulVec x- 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.mulVecstatement and proof · cited by 267
- Matrix.add_mulVecproof · cited by 7
- Matrix.neg_mulVecproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.lapMatrix_toLinearMap₂'proof · cited by 2
- SimpleGraph.lapMatrix_mulVec_applyproof · cited by 1