Theorems · Theorem · linear algebra

Module.exists_dual_forall_apply_eq_one

∀ {ι : Type u_1} {K : Type u_2} {V : Type u_3} [inst : Field K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  {s : Set ι} {v : ι → V}, LinearIndepOn K v s → ∃ f, ∀ i ∈ s, f (v i) = 1

Defined in

Mathlib.LinearAlgebra.Dual.Lemmas

Cited by

1 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldAddCommGroupModule