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Proof step 9 from proof switch-class (previous step)

⊦ r = jvmref, (addclass(class, fis, addarray(r, vals, 0, st))[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(n→i(# vals))]) = (addclass(class, fis, addarray(r, vals, 0, st)[r -- _type, typeval(mkarraytype(ty))])[r -- _length, intval(n→i(# vals))])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ r ≠ jvmref → addclass(class, fis, st[r -- sk, val]) = (addclass(class, fis, st)[r -- sk, val])

Rule argument

[speclemmaarg: , r ≠ jvmref → addclass(class, fis, st[r -- sk, val]) = (addclass(class, fis, st)[r -- sk, val]) ,[val, sk, r, st, fis, class] → [typeval(mkarraytype(ty)), _type, r, addarray(r, vals, 0, st), fis, class] ,F ,addfuns , ,addclass-switch-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (typeval(mkarraytype(ty)), _type, r, addarray(r, vals, 0, st), fis, class)]]