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I need some further help in order to fully understand some aspects of Definition 1.4, Page 12 ... ...

The start of Section 1.5, including Definition 1.4 ... reads as follows:https://www.physicsforums.com/attachments/8355In the above text from Awodey, in Definition 1.4, we read the following:

" ... ... Thus \(\displaystyle G\) is a category with one object, in which every arrow is an isomorphism. ... ... "Can someone please demonstrate a proof that in the category \(\displaystyle G\) every arrow is an isomorphism ... ?Hope someone can help ...

Peter