You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
|
|
|
|
|
import TestGame.Metadata
|
|
|
|
|
|
|
|
|
|
|
|
import Mathlib.Data.Set.Basic
|
|
|
|
|
|
import Mathlib.Algebra.Parity
|
|
|
|
|
|
import Mathlib
|
|
|
|
|
|
|
|
|
|
|
|
Game "TestGame"
|
|
|
|
|
|
World "SetTheory2"
|
|
|
|
|
|
Level 5
|
|
|
|
|
|
|
|
|
|
|
|
Title ""
|
|
|
|
|
|
|
|
|
|
|
|
Introduction
|
|
|
|
|
|
"
|
|
|
|
|
|
Zu der Teilmengen-Schreibweise (`SetOf`) gibt es noch zwei spezielle
|
|
|
|
|
|
Syntax, die abundzu auftreten.
|
|
|
|
|
|
|
|
|
|
|
|
Der erste ist `{ x ∈ S | 0 ≤ x}` ( für z.B `(S : Set ℤ)`),
|
|
|
|
|
|
welcher eine Abkürzung für `{ x : ℤ | x ∈ S ∧ 0 ≤ x}` ist.
|
|
|
|
|
|
Entsprechend hilft auch hier `setOf_and`.
|
|
|
|
|
|
|
|
|
|
|
|
"
|
|
|
|
|
|
|
|
|
|
|
|
open Set
|
|
|
|
|
|
|
|
|
|
|
|
Statement
|
|
|
|
|
|
"" (S : Set ℤ) :
|
|
|
|
|
|
{ x ∈ (S : Set ℤ) | 0 ≤ x} ⊆ S := by
|
|
|
|
|
|
library_search
|
|
|
|
|
|
|
|
|
|
|
|
NewTactic constructor intro rw assumption rcases simp tauto trivial
|
