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Proof step 11 from proof shift-1dim (previous step)

⊦ r = r0, (addarray(r, ty, i, st)[r0 -- sk, val]) = addarray(r, ty, i, st[r0 -- sk, val])

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 10:
⊦ r = r0, (addarray(r, ty, i, st)[r0 -- sk, val]) = addarray(r, initial_value(ty), i, st[r0 -- sk, val][r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)])

Rule argument

[crewrite-arg: addarray-def , F , [st, i, ty, r] → [st[r0 -- sk, val], i, ty, r] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- sk, val], i, ty, r)]]