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Theorems · Theorem · linear algebra

Matrix.mulVec_neg

∀ {m : Type u_2} {n : Type u_3} {α : Type v} [inst : NonUnitalNonAssocRing α] [inst_1 : Fintype n] (v : n → α)
  (A : Matrix m n α), A.mulVec (-v) = -A.mulVec v
Defined in
Mathlib.Data.Matrix.Mul
Cited by
1 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonUnitalNonAssocRingFintype
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Matrix.neg_mulVec_neg · cited by 0Matrix.neg_mulVec_negFintype · cited by 7736FintypeMatrix · cited by 4303MatrixNonUnitalNonAssocRing · cited by 354NonUnitalNonAssocRingMatrix.mulVec · cited by 267Matrix.mulVecdotProduct_neg · cited by 6dotProduct_negMatrix.mulVec_negCITED BYCITES

Cites5

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Cited by1

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