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Bit of a silly question, but do people have preferred naming conventions for natural transformations? If I'm working with lots of universal properties it helps to give readable names to the isomorphisms witnessing representability, and just using greek letters like isn't the most helpful. Of course you can always go with but that suppresses which isomorphism you're referring to, instead just saying that there exists one.
As an example, I've seen a few authors call the natural isomorphism between homsets for an adjunction a "transpose", which works alright when you have a single adjunction.
I sometimes use letters from the front of the alphabet (Latin or Greek), so: a, b, \alpha, \beta : F => G, for functors F,G (and H, K), if generic functors.