Isomorphic binary structures

Problem: Determine whether the given map is an isomorphism of the first binary structure with the second.

where

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Well, is simply , so does that fact make this problem trivial? Since , it appears that doesn't do anything at all, it just returns what you put into it. Since both binary structures are the same, and the mapping function just spits out what you put into it, is this trivially isomorphic?

Re: Isomorphic binary structures

Quote:

Originally Posted by

**tangibleLime** Problem: Determine whether the given map

is an isomorphism of the first binary structure with the second.

where

What is ?. What is ?. The problem is not completely defined.