Theorems · Theorem · linear algebra

linearIndepOn_id_pair

∀ {K : Type u_3} {V : Type u} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V] {x y : V},
  x ≠ 0 → (∀ (a : K), a • x ≠ y) → LinearIndepOn K id {x, y}

Defined in

Mathlib.LinearAlgebra.LinearIndependent.Lemmas

Cited by

0 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModule