Add an example of a cocomplete category without equalizers - #340
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This PR adds an example of a cocomplete category without equalizers, namely, the "artificial" example presented in my question MSE/5137415. I have been waiting for answers with other, more natural examples for a while now, but apparently, they just do not exist.
The new category is not just a witness of cocomplete ∧ ¬equalizers, but also of several other property combinations.
TODO. decide as many properties as possible.
TODO. when proofs are done, list all property combinations that are new