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Proof step 4 from proof add-at-02 (conclusion)

⊦ rk .ref ≠ r → (addarray(r, ty, i, st)[rk]) = st[rk]

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:
⊦ rk .ref ≠ r → (addarray(r, val, i, st)[rk]) = st[rk]
Proof step 3:
⊦ rk .ref = r, ((rk = r -- _length ⊃ intval(i); (rk = r -- _type ⊃ typeval(mkarraytype(ty)); st[rk]))) = st[rk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))])]]