A small example of transporting theory between two equivalent representations of lists #445
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mortberg
commented
Oct 14, 2020
mortberg
commented
Oct 14, 2020
Cubical/Experiments/List.agda
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| -- We can now get the property for ++' and rev' via the SIP | ||
| goal : (xs ys : List' A) → rev' (xs ++' ys) ≡ rev' ys ++' rev' xs | ||
| goal = transferAxioms rawUnivalentStr List-Struct List'-RawStruct | ||
| (ListEquiv , toList'-++ , toList'-rev) .snd .snd |
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Maybe transferAxioms should really just output the axioms? We can then have inducedStructure instead of the current transferAxioms?
mortberg
commented
Oct 14, 2020
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The equivalence is as simple as possible and the goal is just to illustrate how one can transport results either directly or using the SIP
As far as I can tell this is the only example of how to use the SIP machinery which isn't polluted by code relating records and Sigma-types...