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lean4game/server/testgame/TestGame/Levels/Inequality/L04_Linarith.lean

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import TestGame.Metadata
import Mathlib.Tactic.Linarith
Game "TestGame"
World "Inequality"
Level 4
Title "Linarith"
Introduction
"
Die Taktik `linarith` kann alle Systeme von linearen (Un-)gleichungen über ``, ``, etc. lösen.
Über `` ist sie etwas schwächer, aber einfache Aussagen kann sie trotzdem beweisen.
"
Statement
"Wenn $n \\ge 2$, zeige, dass $n$ nich Null sein kann."
(n : ) (h : 2 ≤ n) : n ≠ 0 := by
linarith
NewTactics linarith
NewLemmas zero_lt_iff