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Proof step 6 from proof switch-addarray-addobj (previous step)

⊦ r = r0, addarray(r, ty, i, addobj(r0, class, fis, st)) = addobj(r0, class, fis, addarray(r, ty, i, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ addarray(r, ty, i, st) = addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)])
Proof step 5:
⊦ r = r0, addarray(r, initial_value(ty), i, addobj(r0, class, fis, st)[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)]) = addobj(r0, class, fis, addarray(r, ty, i, st))

Rule argument

[crewrite-arg: addarray-def , F , [st, i, ty, r] → [addobj(r0, class, fis, st), i, ty, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r0, class, fis, st), i, ty, r)]]