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Proof step 8 from proof shift-1dim (previous step)

⊦ r = r0, addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)][r0 -- sk, val]) = addarray(r, initial_value(ty), i, st[r0 -- sk, val][r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val])
Proof step 7:
r -- _type ≠ r0 -- sk ⊦ r = r0, addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)][r0 -- sk, val]) = addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r0 -- sk, val][r -- _length, intval(i)])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk, val0]) = (st[rk, val0][rk0, val]) ,[val0, rk, val, rk0, st] → [typeval(mkarraytype(ty)), r -- _type, val, r0 -- sk, st] ,F ,store ,javastore ,rew ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRATERMS : (typeval(mkarraytype(ty)), r -- _type, val, r0 -- sk, st)]]