This file contains ambiguous Unicode characters that may be confused with others in your current locale. If your use case is intentional and legitimate, you can safely ignore this warning. Use the Escape button to highlight these characters.
import Adam.Metadata
import Mathlib.Algebra.Module.Submodule.Lattice
import Mathlib
Game "Adam"
World "Basis"
Level 4
Title "Basis"
namespace Ex_Basis
scoped notation "ℝ²" => Fin 2 → ℝ
open Submodule
Introduction
"
lemma exercise1 : LinearIndependent ℝ ![(![1, 0] : ℝ²), ![1, 1]] := sorry
lemma exercise2 : ⊤ ≤ span ℝ (Set.range ![(![1, 0] : Fin 2 → ℝ), ![1, 1]]) := sorry
Statement : Basis (Fin 2) ℝ ℝ² := by
apply Basis.mk
apply exercise1
apply exercise2
end Ex_Basis