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Proof step 18 from proof union-okarray (previous step)

st[r -- _type] = typeval(mkarraytype(ty0)), st[r -- _length] = intval(i), j < i, 0 ≤ i, r -- _length ∈ st, is_arrayref(r, i, st), r -- _type ∈ st, ty0 ≤ ty, r ∈ st, 0 ≤ j, 0 < i, okval(noval, ty), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r -- j '], ty) ⊦ r = jvmref, r -- j ' ∈ st, okval(st0[r -- j '], ty)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,is_arrayref(r, i, st) ↔ (∀ j. 0 ≤ j ∧ j < i → r -- j ' ∈ st) ,[st, i, r] → [st, i, r] ,F ,storearrays , ,is_arrayref ]

Additional information

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