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I'm new Isabelle/Hol user and I have some confusion regarding using the existing definitions in Isabelle. I have to define a Complete lattice structure and Complete Partial Order (CPO) structure in my model. I found that those defintion already exists as Classes in the HOLCF Porder.Thy and Lattice.thy. So If I wanted to include those definitions in my model how should I proceed ? Like I copy paste all the definition or there is a specific command for that ?

Thanks

Hachani Ahmed
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In the header of your own theory, you can import other theories. Complete lattices already exist in the Main theory (which you would usually import anyway if you're using HOL). Other theories can be referenced using ~~/src/HOL/... (Isabelle automatically substitutes ~~ for the home path of your Isabelle installation).

For the precise syntax, I recommend reading through prog-prove, especially §2.1.

larsrh
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  • thank you larsh for your answer, I already ported the theoreies of Complete Latices and Complete Partial Order , How ever my confusion is how to initiate them in my model , I get confused between the local and class styles , so I was looking for a simple explicit example to show how it is done for now I just defined another calss cpo_T to represent a cpo structure called T + a definition about function continuity but I am not sure if this is how it should be done class cpo_T = cpo + assumes c: "chain C ⟹ (⨆i. f (C i)) = f (⨆i. C i)" begin end the pdf doesn't answer my question – Hachani Ahmed Mar 23 '16 at 16:30