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Theorems · Theorem · linear algebra

dotProduct_eq_zero

∀ {n : Type u_2} {R : Type u_4} [inst : Semiring R] [inst_1 : Fintype n] (v : n → R),
  (∀ (w : n → R), v ⬝ᵥ w = 0) → v = 0
Defined in
Mathlib.LinearAlgebra.Matrix.DotProduct
Cited by
1 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringFintype
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Around this declaration

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dotProduct_eq_zero_iff · cited by 1dotProduct_eq_zero_iffSemiring · cited by 13802SemiringFintype · cited by 7736FintypedotProduct · cited by 194dotProductzero_dotProduct · cited by 9zero_dotProductdotProduct_eq · cited by 2dotProduct_eqdotProduct_eq_zeroCITED BYCITES

Cites5

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Cited by1

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