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April 20th, 2013, 09:02 PM  #1 
Newbie Joined: Apr 2013 Posts: 2 Thanks: 0  Subset of a Function g[a] subset g[b]
Hi thanks for your help, Given a function g: X > Y , and A subset B subset X , prove that g[A] subset g[B] It seems kinda obvious to me, since a function cannot map to more than one element and A subset B is given, i'm unsure how to write this as a proof however? 
April 21st, 2013, 06:20 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Subset of a Function g[a] subset g[b]
Given an element a in A, show that g(a) is in G(B).


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