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Proof step 3 from proof out-1dim (conclusion)

⊦ (addarray(r, ty, i, st)[_out]) = st[_out]

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:
⊦ (addarray(r, val, i, st)[_out]) = st[_out]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (st[r -- _type, val][_out]) = st[_out]], [CSIMPSEQ : ⊦ _out ≠ r -- _length], [CSIMPSEQ : ⊦ (st[rk0, val][rk]) = ((rk = rk0 ⊃ val; st[rk]))])]]