November 2017
Intermediate to advanced
670 pages
17h 35m
English
Identity law of our category says the identity morphism of A is A.

Every object has a morphism pointing back to itself.
When we have more than one object, we denote which ID we're talking about with a subscript, for example, idA.

This graph says f o idA = f.
In other words, the morphism of f after idA is the same as the morphism of f. Here's a concrete example:

The identity morphism for the natural number 3 is a function ...