New definition for PNNetworks #7
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Make the port type simpler and move the burden of correctness to auxiliary propositions. Also make SimplePN a class instead of an extension of PNNetwork.
So far no Quotient type is defined, but now we can do that.
No lemmas are proven for it.
This is probably not the final one and up to debate. Modelled after TM2.
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This PR is probably not mergeable as is, but parts of it can be cherry-picked.
Give a new definition for
PNNetwork. This time it doesn't contain any sigma types, which makes working it much nicer. As a benchmark, box product of networks is defined. This used to be a pain with sigma types. Also define an equivalence between the old and new definition viamk'constructor.Finally, also define
CoveringMapand show some elementary lemmas about them.