My Math Forum Subset of a Function g[a] subset g[b]

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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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