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Proof step 19 from proof okarray-okarray (previous step)

st[r -- _length] = intval(st[r -- _length] .intval), st[r -- _type] .type = mkarraytype(ty0), 0 ≤ st[r -- _length] .intval, r ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, ty0 ≤ ty, is_typevalue(st[r -- _type]), r -- _type ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), st) ∧ is_integervalue(st[r -- _length]) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → okval(st[r -- j '], ty))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
st[r -- _type] = typeval(ty1), st[r -- _length] = intval(st[r -- _length] .intval), ty1 = mkarraytype(ty0), 0 ≤ st[r -- _length] .intval, r ∈ st, is_arrayref(r, st[r -- _length] .intval, st), r -- _length ∈ st, ty0 ≤ ty, is_typevalue(st[r -- _type]), r -- _type ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → okval(st[r -- j0 '], ty) ⊦ r = jvmref, okreftype(refval(r), mkarraytype(ty), st) ∧ is_integervalue(st[r -- _length]) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → okval(st[r -- j '], ty))

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty1] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r -- _type], ty1)]]