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Theorems · Definition · linear algebra

LinearIndepOn

{ι : Type u'} →
  (R : Type u_2) →
    {M : Type u_4} → (ι → M) → [inst : Semiring R] → [inst_1 : AddCommMonoid M] → [Module R M] → Set ι → Prop

LinearIndepOn R v s states that the vectors in the family v that are indexed by the elements of s are linearly independent over R.

Defined in
Mathlib.LinearAlgebra.LinearIndependent.Defs
Cited by
211 results in Mathlib
Foundations
Depth 79 from the axioms, rests on 1,818 definitions · uses propext, Classical.choice, Quot.sound
Assumes
SemiringAddCommMonoidModule

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Cited by225

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