c) Given the definitions data Tree a = Leaf a | Node (Tree a) (Tree a) deriving Show mirror (Leaf x) = Leaf x mirror (Node 1 r) = Node (mirror r) (mirror 1) prove the following property by induction on the tree t: mirror (mirror t) = t

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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c) Given the definitions
data Tree a = Leaf a | Node (Tree a) (Tree a)
deriving Show
mirror (Leaf x) = Leaf x
mirror (Node 1 r) = Node (mirror r) (mirror 1)
prove the following property by induction on the tree t:
mirror (mirror t) = t
Transcribed Image Text:c) Given the definitions data Tree a = Leaf a | Node (Tree a) (Tree a) deriving Show mirror (Leaf x) = Leaf x mirror (Node 1 r) = Node (mirror r) (mirror 1) prove the following property by induction on the tree t: mirror (mirror t) = t
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