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Proof step 3 from proof num-at-1dim (previous step)

0 ≤ j, j < i ⊦ (addarray(r, ty, i, st)[r -- j ']) = initial_value(ty)

Heuristic simplifier applied rule simplifier

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 2:
⊦ 0 ≤ j ∧ j < i → (addarray(r, val, i, st)[r -- j ']) = val

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]