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.Data.Real.Basic -- definiert `ℝ`
import Mathlib.Algebra.Module.Pi -- definiert `Module ℚ (fin 2 → ℚ)`
import Mathlib.Data.Fin.VecNotation
import Mathlib.Tactic.FinCases
Game "Adam"
World "Module"
Level 3
Title "Konkrete Vektorräume"
Introduction
"
Beachte dass Skalarmultiplikation mit `•` geschrieben wird, und nicht mit `*`!
Statement
""
: 5 • ![ (2 : ℚ), 5 ] + ![ 1, 0 ] = ![11, 25] := by
funext i
fin_cases i <;>
simp <;>
ring