normalization for the free cartesian category #118
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Before, if you didn't have python3-venv, check-line-lengths would fail and if you installed python3-venv and tried again, you'd get some error about env not having a env/bin. So then you'd have to `rm -r env` and run check-line-lengths a third time.
more abstract proof of the ue stuff
That took me way more time than I could've thought. I'm leaving the Lemma module in there because if you ever need to modify something, you might have to rip it out into a separate file again to avoid agda taking way too long or never finishing type checking
just use the total category of weakening definition, so we don't have two different definitionally different definitions of bin product of Cartesian categories, that differ only on the proofs of the Cartesian structure. Anyways, the underlying displayed categories are such that the total category of the weakening is definitionally the binary product although they are each defined manually. There isn't an easy way to define weakening from the bin product so let's define the bin product from weakening
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WIP draft