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Proof step 9 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)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ r ≠ r0 → (addarray(r, val0, i, st)[r0 -- sk, val]) = addarray(r, val0, i, st[r0 -- sk, val])
Proof step 8:
⊦ 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)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]