linearIndepOn_univ

Deprecated since 2026-02-24Use linearIndepOn_univ_iff instead.

∀ {ι : Type u'} {R : Type u_2} {M : Type u_4} {v : ι → M} [inst : Semiring R] [inst_1 : AddCommMonoid M]
  [inst_2 : Module R M], LinearIndepOn R v Set.univ ↔ LinearIndependent R v

Alias of linearIndepOn_univ_iff.

Defined in: Mathlib.LinearAlgebra.LinearIndependent.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Semiring AddCommMonoid Module

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Modulestatement · cited by 20,661
Semiringstatement · cited by 13,802
AddCommMonoidstatement · cited by 12,281
Set.univstatement · cited by 3,945
LinearIndependentstatement · cited by 560
LinearIndepOnstatement · cited by 211
linearIndepOn_univ_iffproof · cited by 4

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