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Proof step 4 from proof length-1dim-02 (conclusion)

⊦ r -- _length ∈ addarray(r, ty, i, st)

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 3:
⊦ r -- _length ∈ addarray(r, initial_value(ty), i, st[r -- _type, typeval(mkarraytype(ty))][r -- _length, intval(i)])

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, i, ty, r)]]