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Proof step 20 from proof switch-addarray-addclass (previous step)

⊦ r = jvmref, addarray(r, initial_value(ty), i, addclass(class, fis, st)[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)]) = addclass(class, fis, addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))])[r -- _length, intval(i)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_fskey(sk) ∨ r ≠ r0 → addarray(r, val, i, st[r0 -- sk, val0]) = (addarray(r, val, i, st)[r0 -- sk, val0])
Proof step 19:
is_fskey(_type) ∨ r ≠ r ⊦ r = jvmref, addarray(r, initial_value(ty), i, addclass(class, fis, st)[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)]) = addclass(class, fis, addarray(r, initial_value(ty), i, st)[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)])

Rule argument

[crewrite-arg: add-put-switch , F , [val0, sk, r0, st, i, val, r] → [typeval(mkarraytype(ty)), _type, r, st, i, initial_value(ty), r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(_type)])], [EXTRATERMS : (typeval(mkarraytype(ty)), _type, r, st, i, initial_value(ty), r)]]